A random integer generator is a tool that can be used to generate a sequence of random numbers. The most common use for a random integer generator is to create a set of random numbers that can be used in statistical analysis or in gambling.
There are many benefits to using a random integer generator. For example, it can help you to create a more diverse set of data points, which can be helpful when you are trying to find trends or patterns. Additionally, using a random integer generator can help to ensure that your results are not biased by your own personal preferences.
When you use a random integer generator, there are some things you should keep in mind. First, it is important to understand how the tool works and what the output will look like. Second, you need to make sure that the input you provide is valid and within the range of numbers that the tool can generate. Finally, it is important to remember that the results of a random integer generator are not always 100% accurate and should be interpreted with caution.
A random integer generator is a mathematical tool that can be used to generate random numbers. These numbers can be used for a variety of purposes, such as generating random passwords or creating random samples for statistical analysis.
There are a number of different algorithms that can be used to generate random integers, and each has its own advantages and disadvantages. Some of the most popular methods include the linear congruential method, the Blum-Blum-Shub algorithm, and the Mersenne Twister algorithm.
No matter which algorithm is used, there are certain parameters that must be set in order to generate a truly random number. These parameters include the seed value, the range of values that can be generated, and the number of values that should be generated.
When you want to generate a random integer, there are several benefits to using a random integer generator. First, it is quick and easy. You can generate a random integer in just a few seconds with a few clicks of your mouse. Second, it is reliable. A random integer generator will always give you a different number, so you can be sure that your results are truly random. Finally, it is convenient. You can use a random integer generator anytime, anywhere - all you need is an internet connection.
Photo by mali maeder on Pexels
When using a random integer generator, there are a few things to keep in mind in order to get the most accurate results. First, it is important to make sure that the range of numbers being generated is wide enough to cover all possible outcomes. For example, if a dice is being rolled, the range should be from 1 to 6. Second, the number of integers generated should be large enough to get an accurate representation of all possible outcomes. For instance, if generating 100 numbers, all possible outcomes should be represented approximately equally. Finally, it is important to seed the random number generator with a value that will not produce predictable results. A good way to do this is by using the system time as a seed.
A random integer generator is a tool that can be used to generate a random number. There are many benefits to using a random integer generator, such as being able to create a more diverse set of numbers, or to create a larger set of numbers than what is possible with traditional methods. When using a random integer generator, there are a few things to keep in mind, such as making sure that the range of numbers is appropriate for the desired results. With a little practice, anyone can learn how to use a random integer generator and reap the benefits that it has to offer.


The City Council of Puerto Lumbreras through the Department of Training and Employment, will offer from next September two courses aimed at unemployed people.
One of them is "Communication in Spanish Language N2", whose general objective is to understand oral and written productions, to be able to express and interact appropriately in different social and cultural contexts, as well as to use language in the construction of knowledge, the understanding of reality and self-regulation of thought, emotions and behavior.
The other is "Communication in Mathematics N2", which seeks to identify the mathematical elements present in reality and apply mathematical reasoning in solving problems related to everyday life, using numbers and their basic operations, measurements, geometry, Algebra and data analysis.
These courses, lasting 120 hours each, will be taught at the Women's Center in the morning from 9:00 a.m. to 2:00 p.m. and are scheduled to start in October.
To be able to access them, students must NOT have a degree in Compulsory Secondary Education (ESO) or equivalent.
Once these courses have been passed, students will be able to complete professional certificates level 2 without languages;
as for example, Certificate of professionalism in socio-health care for dependents at home and social institutions.
Students who meet the requirements will have training support measures (scholarships).
For more information and registration, those interested should contact the CEILUM (next to the municipal summer pool) or telephone 670 425 907, from 8:00 a.m. to 3:00 p.m.
Source: Ayuntamiento de Puerto Lumbreras


gnuplot-minimal - Minimal version of program for plotting mathematical expressions and data
Gnuplot is a command-line driven, interactive function plotting program especially suited for scientific data representation. Gnuplot can be used to plot functions and data points in both two and three dimensions and in many different formats. Install gnuplot-minimal if you need a minimal version of graphics package for scientific data representation.
|gnuplot-minimal-4.2.6-2.el6.x86_64 [471 KiB]||
by Ivana Hutarova Varekova (2010-02-22):
- Resolves: #564090 don't use wxGTK in gnuplot licence tag fix


Solv manifold, compact
A compact quotient space of a connected solvable Lie group (cf. Lie group, solvable; sometimes, however, compactness is not required). A particular case is a nil manifold. Compared with the latter the general case is considerably more complicated, but there is a complete structure theory for it too.
|||L. Auslander, "An exposition of the structure of solvmanifolds. Part I: Algebraic theory" Bull. Amer. Math. Soc. , 79 : 2 (1973) pp. 227–261|
Cf. also Solv manifold.
|[a1]||G.D. Mostow, "Cohomology of topological groups and solvmanifolds" Ann. of Math. , 73 (1961) pp. 20–48|
|[a2]||R.W. Johnson, "Presentations of solvmanifolds" Ann. of Math. , 94 (1972) pp. 82–102|
Solv manifold, compact. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Solv_manifold,_compact&oldid=36249


Is maths hard in JEE Advanced?
According to students, the IIT entrance test was of moderate level of difficulty. Among the sections, students found mathematics to be the most difficult followed by chemistry and physics being the easiest.
Is JEE Advanced questions tough?
Overall, the exam can be regarded as moderate to difficult. Chemistry section in JEE Advanced paper 1 was easy to moderate with some tricky questions in Inorganic chemistry.
Which is the toughest JEE Advanced paper?
JEE Advanced 2020 Paper 1 Analysis Majority of candidates reported that Physics was the toughest section. Topics, where students faced difficulty, were – thermodynamics, magnetism and rotation. Many students said the Chemistry section was easiest.
Why JEE Advanced is tough?
JEE Advanced is regarded as one of the most difficult exams in the world. The exam is known for testing a candidate’s ability to think analytically. There are no direct questions from NCERT books in it. The questions are distorted because they are intended to test a candidate’s thinking process.
How can I make my maths strong for JEE?
Here are some of the steps and techniques that you can follow to clear the Math section in JEE Mains:
- Preparation Tips for Maths in JEE Mains 2022.
- 1) The Early Bird Catches the Worm.
- 2) Make a Proper Schedule.
- 3) Structure Your Syllabus.
- 4) List Down All Equations and Theories.
- 5) Refer to Different Books.
Is IIT math hard?
JEE mains is neither a tough examination not a cakewalk. Mathematics for JEE mains is of mediocre level you can have good command if you have solved paper and some practice papers and a focused on your school textbooks specially the NCERT mathematics textbook.
Which is the most difficult subject in IIT JEE?
Mathematics was the most difficult, while Physics was sandwiched between the two. Being the easiest subject, no candidate should neglect Chemistry as it will otherwise severely limit the chances of scoring a good rank in JEE Main.
Which IIT will set JEE Advanced 2022?
It is organized by one of the seven “old” IITs (IIT Roorkee, IIT Kharagpur, IIT Delhi, IIT Kanpur, IIT Bombay, IIT Madras, and IIT Guwahati) under the guidance of the Joint Admission Board (JAB)….Organizing institute.
Will JEE 2021 be easy?
The overall difficulty level of the JEE Main 2021 exam was moderate. Overall the paper had more weightage of the Class 12th syllabus. Maths- The section was a little tricky and was the toughest among the three sections. Probability, Statistics, Calculus were dominant in the section followed by Algebra, Trigonometry.
Is JEE Advanced Mcq or written?
Candidates can get an overview of the JEE Advanced 2022 from the following table….JEE Advanced Exam Pattern 2022.
|Name of the Exam||JEE Advanced 2022|
|Type of Questions||MCQs and Non-MCQs|
|Exam Duration||3 hours per paper (4 hours for PwD candidates)|
Why is Maths important for the JEE Advanced?
JEE Maths is a very crucial part of the JEE Advanced paper. Maths is a paper that most students tend to get a little afraid of. It is a tricky subject which can test your aptitude in numerous ways. The Important questions Maths JEE Advanced covers chapter-wise solutions for all the chapters in the JEE Advanced syllabus.
How to check JEE Advanced previous year question papers and answer keys?
Candidates can check below the steps to get JEE Advanced previous year question papers and answer keys. A new page will open which has links to every year question papers and the final answer keys. Download that question paper and answer key and use it to calculate your probable score.
Is Maths JEE Advanced A tricky subject?
It is a tricky subject which can test your aptitude in numerous ways. The Important questions Maths JEE Advanced covers chapter-wise solutions for all the chapters in the JEE Advanced syllabus. These solutions are excellent in guiding you to be prepared for any kind of questions that could be asked in the actual exam.
How many sections are there in JEE Advanced?
Candidates can check below the exam pattern of JEE Advanced. Each 3 part in paper 1 and 2 has 3 sections each, which is given in the table below: The distribution of questions among the sections was common for both paper 1 and 2. The same is given in the table below:


Freya: An educational MATLAB GUI-based tool for generalized Fourier series
Keywords:Generalized Fourier series; Sturm-Liouville problems; Bessel functions; Legendre polynomials; MATLAB.
The Fourier analysis is a very powerful mathematical tool to decompose functions into their frequency components. Due to this, it has applications in a wide variety of fields inside the realm of science and engineering. As usual, this theory starts with a discussion about the trigonometric Fourier series, the expansion of a function in terms of sines and cosines, and then is generalized in the sense that other functions rather than the trigonometric ones can be used as an orthogonal basis, as the eigenfunctions of some specific Sturm-Liouville problems, such as Bessel functions and Legendre polynomials. In this direction, we present the so- called Freya, an educational graphical user interface (GUI) for the generalized Fourier series developed using the interactive MATLAB (MATrix Laboratory) App Designer environment. We aim to provide a user-friendly tool as a learning aid system for students to gain a comprehensive understanding of the subject as well as for teaching.
Arrayás, M., & Trueba, J. L. (2018). The method of Fourier transforms applied to electromagnetic knots. European Journal of Physics, 40(1), 015205.
Boyce, W. E., DiPrima, R. C., & Meade, D. B. (2001). Elementary differential equations and boundary value problems. (7th ed.) John Wiley & Sons Inc., New York, 259 - 300.
Bracewell, R. N. (1985). The Life of Joseph Fourier. Fourier Techniques and Applications, 1-4.
Brown, J. W. & Churchill, R. V. (2008). Fourier Series and Boundary Value Problems. 7th edn. Brown and Churchill series, McGraw-Hill Higher Education, Boston.
Carslaw, H. S. (1950). Introduction to the Theory of Fourier’s Series and Integrals. (3rd ed.) Dover Publications, New York, NY.
Debnath, L. (2012). A short biography of Joseph Fourier and historical development of Fourier series and Fourier transforms. International Journal of Mathematical Education in Science and Technology, 43(5), 589-612.
Do, T. S. (2018). The Fourier transform and principles of quantum mechanics. Applied Mathematics, 9(04), 347-354.
González-Velasco, E. A. (1996). Fourier analysis and boundary value problems. Elsevier.
Grattan-Guinness, I. (2005). Joseph Fourier, théorie analytique de la chaleur (1822). In Landmark Writings in Western Mathematics 1640-1940 (pp. 354-365). Elsevier Science.
Herivel, J. & Williams, L. P. (1975). Joseph Fourier: The Man and the Physicis. Physics Today, 28(11), 65. doi:10.1063/1.3069206.
Hmurcik, L. V., Husic, S., Murthy, G. S., Hadzic, A., & Chen, J. (2000). Using the Fourier series in a circuits or DSP laboratory. IEEE Transactions on Education,43(1), 58-62.
Horwitz, L. P. (2020). Fourier transform, quantum mechanics and quantum field theory on the manifold of general relativity. The European Physical Journal Plus, 135(6), 479.
Kreyszig, E., Kreyszig, H., & Norminton, E. J. (2011). Advanced Engineering Mathematics. 10th edn. John Wiley, Hoboken, NJ.
Maurey, B. (2019). Fourier, One Man, Several Lives. European Mathematical Society Magazine, (113), 8-20.
Oppenheim, A. V., Willsky, A. S., & Nawab, S. H. (1997). Signals & Systems. (2nd ed.), Prentice-Hall Signal Processing Series, Prentice Hall, Upper Saddle River, N.J.
Prestini E (2016). The Evolution of Applied Harmonic Analysis: Models of the Real World. 2nd edn. Springer-Verlag, New York, NY.
Prestini, E., & Prestini, E. (2004). Joseph Fourier: The Man and the Mathematician. The Evolution of Applied Harmonic Analysis: Models of the Real World, 1-29.
Reed, I. S., Tufts, D. W., Yu, X., Truong, T. K., Shih, M. T., & Yin, X. (1990). Fourier analysis and signal processing by use of the Mobius inversion formula. IEEE Transactions on Acoustics, Speech, and Signal Processing, 38(3), 458-470.
Scharlau, W., & Opolka, H. (1985). Fourier. In: From Fermat to Minkowski. Undergraduate Texts in Mathematics. Springer, New York, NY. 10.1007/978-1-4757-1867-6_7
Zill, D. G. (2022). Advanced Engineering Mathematics. (7th ed.) Jones & Bartlett Learning, Burlington, MA.
How to Cite
Copyright (c) 2023 Humberto Gimenes Macedo; Virginia Klausner de Oliveira; Anna Karina Fontes Gomes; Francisco Carlos Rocha Fernandes
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
1) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2) Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3) Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.


Since antiquity, the underlying proportions of the Golden Ratio have served as the epitome of beauty and aesthetics. Even today, this perfect proportion can be found in art, in architecture, in design – and elsewhere.
The Golden Ratio appears everywhere in nature, once you become familiar with it you will notice it everywhere. This is why it is used as the guiding principle in the process of the design. It arises from the equality of the proportions, when the relationship between the larger and the smaller part is the same as that between the whole and the larger part. This ratio, this formula – the phi number from mathematics – is 1.618.
The glass and porcelain used in the products is carefully conceived in accordance with the Golden Ratio, this makes each individual piece naturally visually gratifying and energetically in alignment with the natural flow of life-force energy.


SWERC 2011 Results
10 problems were proposed, almost every team solved at least one problem. A lot of correct solutions.
The team UPC-1, from Universitat Politècnica de Catalunya, is the champion of the contest. They solved 8 problems with a total time of 1129 minutes. Congratulations!
The second place was achieved by the team ENS Lyon 1, from École Normale Supérieur de Lyon. They solved also eight problems with a total accumulated time of 1289 minutes.


In order to help answer the questions in game changers 1 to 4 new multiscale computational and mathematical methods will be required. Multiscale mathematical models will help to mechanistically interpret the interactions and causal relations between biological molecules, cells, organisms and their environment. Chemical, biological, physical and astrophysical observations, experiments and simulations will produce expanding streams of big data, which must be integrated in order to generate new knowledge. The resulting multiscale mathematical models and multiscale data science methods will need to cover temporal scales from nanoseconds (chemistry) and hours (e.g., cell division) to billions of years (formation and evolution of planets and life), and spatial scales ranging from nanometers (chemistry) to tens of thousands of kilometers (planets). The aim of this game changer is to enforce breakthroughs within a time frame of five to ten years in the development of new computational and mathematical methods for multiscale modeling, simulation, and analysis of large, complex data.
For the geological and planetary sciences, better scale integration will enable new breakthroughs in formation and evolution of planets and their satellites, in particular of the earth. In this context, this game changer aims to model the multilevel coupling between the physicochemical mechanisms in the interior of the planet on the one hand, and the biosphere, hydrosphere and atmosphere on the other hand. This will lead to new insights into the mechanisms of global change, including climate change, changes in earth magnetisms, and plate tectonics that drive earthquakes. For the biological and physical sciences, these developments will help us understand how molecules can self-organise into self-replicating, living cells, how cells can join forces to form multicellular tissues and organisms, and how organisms form ecosystems. For the mathematical sciences, a key long-term interest is to predict collective behavior from individual behavior, and to develop the mathematical tools to analyze, in a rigorous manner, the range of behaviors that a collective system can exhibit. Another interest concerns the development of fast and accurate multiscale numerical methodology, ranging from multigrid PDEs to agent-based simulation algorithms. For computational and data science, a key interest is mutliscale data integration. New methodology should allow us to correlate events occurring in a large range of data sets at fast and small scales to larger trends occurring over longer times, or sudden rare, catastrophic events. Examples including prediction of earthquakes from seismological or other data, or prediction of large scale ecological catastrophic from observations in the ecosystem at smaller and faster time scales (early warnings). Here mathematical techniques will focus on causality and potentially: control of the system, whereas data science techniques focus on correlation and potentially: prediction of the system. The hope is that a combination of mathematical and computational techniques can help us exert the right level of control on complex ecological or geophysical systems at the right moment (prediction).
In order to achieve these aims, upscaling of capacity and accessibility of the national computing facilities is required. Modern High Performance Computing (HPC) enables numerical techniques including automated adaptive meshing, and massive parallel computing thanks to superfast interprocessor communication allowing numerical solutions to problems involving hundreds of millions of variables.
Realizing these breakthroughs requires, however, liberal access to large HPC systems containing millions of computing cores.


I was recently given a puzzle. It was a sequence of numbers and I was asked what the next number in the sequence was.
The sequence was 1, 11, 21, 1211, 111221, ….
An answer, and the answer that most people think is the only one, is 312211.
This particular answer is arrived at by noticing that we are just describing what the previous number is.
We start at 1. In the number 1 we only have one 1, so we put down 11 (read one one) as the next number. In the number 11 we have two 1’s so we put down 21 (read two one[‘s]). In 21 we have one 2 and one 1 and so we put down 1211. In 1211 we start off with one 1 followed by one 2 followed by two 1’s so we put down 111221. In 111221 we start with three 1’s followed by two 2’s followed by one 1 and so the next number is 312211.
This is not the only answer, in actual fact any number is a valid answer as the question is too ambiguous. Take the following formula:
Then plugging in the values 1, 2, 3, 4, 5 and 6 for n we get the sequence 1, 11, 21, 1211, 111221, 544151. There isn’t anything in the question which forbids the sequence from being generated from this formula so 544151 must be counted as a valid answer as well.
The problem is that there are an infinite number of formulae which will generate sequences starting with 1, 11, 21, 1211, 111221 so which one is the right one?
Well to answer that question and give us an insight into what we need to specify in the question to make it unambiguous, the rest of the post will talk about how to generate a formula for a sequence.
The standard way of doing this would be by solving a system of linear equations. Given a sequence of n points, you would generate n equations with n unknowns by modelling the sequence by a polynomial with degree n-1.
To illustrate the point given the sequence 1, 8, 19 we would model this sequence as a polynomial of degree 2, that is .
We know that . That gives us the three equations:
Even though solving 2 simultaneous equations with 2 unknowns is taught in high school, solving systems of linear equations of n equations with n unknowns is not taught in most high schools. Solving these systems of equations would usually be done by writing the system as a matrix and finding the matrix inverse via row or column operations.
However my aim is to show how to generate these formulae whilst hiding away the machinery that is taught in higher level maths courses.
The method I am going to present is going to involve no more than simple procedures of multiplication, division, subtraction and addition.
To start with we need to define some terminology.
We say the first order difference of a polynomial, , at the point x is defined by .
The nth order difference of a polynomial, , at the point x is defined by .
Even though the definitions may look scary, the following diagrams fully explain the concept of first order, second order, …., nth order differences using both an abstract and concrete example:
The thing you need to know about these sequences is that given a sequence generated by a polynomial, , of degree n then
- where c is the coefficient of the degree n term in the polynomial. If you are unfamilar with the notation n! then read this
- for all .
The second part of the above gives us a way to find out the degree of the polynomial generating a sequence and the first part allows us to calculate the coefficient of the highest power term. We can use this to calculate the polynomial that generates a particular sequence.
The procedure we use to find the polynomial is as follows. Define a polynomial, f, with no terms. Whilst the sequence of numbers (denoted ) is not all zero repeat the following. Work out the degree of the polynomial that generates the sequence and work out the coefficient of the highest power in this polynomial. Once we know the coefficient of the highest power term in the polynomial, say , generate a new sequence of numbers by calculating . Add to the polynomial f.
This procedure works as in every step when we generate a new sequence this sequence is for a polynomial of a smaller degree than the last so we will eventually end up with a sequence of all zeros.
To demonstrate this consider the following sequence 5, 0, 1, 20, 69. We analyse the differences below
We see that the fourth order difference is 0 and so the sequence can be generated by a degree 3 polynomial. Furthermore we know that the third order differences will be where c is the coefficient of the cubic term of this polynomial and the third order difference is 12 so we know the coefficient is 12/3! = 12/6 = 2. We set our f to be . We now calculate as the new sequence and repeat our process. Our new sequence is 3, -16, -53, -108, -181. Analysing the differences below we have
We see that the third order differences are 0 and so we have a sequence generated by a polynomial of degree 2 and that the coefficient of the degree 2 term is -18/2! = -18/2 = -9 and so our term for this step is . Adding this to our f gives us . Our new sequence is calculated as , , , , , giving us the new sequence 12, 20, 28, 36, 44. Analysing the differences we have
The second order differences are 0 and so we have a sequence generated by a polynomial of degree 1 and that the coefficient of the degree 1 term is 8/1! = 8/1 = 8 and so our term for this step is . Adding this to our f gives us . Our new sequence is calculated as , giving us the new sequence 4, 4, 4, 4, 4. Analysing the differences we have
The first order differences are 0 and so we have a sequence generated by a polynomial of degree 0 and that the coefficient of the degree 0 term is 4/0! = 4/1 = 4 and so our term for this step is just 4. Adding this to our f gives us . Our new sequence is calculated as , giving us the new sequence 0, 0, 0, 0, 0 and so we are complete. The final polynomial is which can be checked by computing .
If we return to the question of what we need to specify to make a sequence question unambiguous, can you now specify the necessary conditions?
In a follow up post I will discuss the necessary conditions as well as attach a document justifying the methods used in this post with some mathematical rigour.


N! Possible Routes is an extension of a very basic question: “What’s the quickest way to get there?”. Using web technologies, a bit of math and a lot of computer processing N! Possible Routes takes regions of the worlds and tries to find out all the possible ways to go between several places. Then, it lets users try to find the quickest (or slowest) way around and provides duration and distance information for every single route.
Instead of providing the user with the answer to this question, the project provides a way for the user to find out for himself. The question turns into a game of finding out the quickest route between several places.


The matter of math: Guiding the blind to touch the Pythagorean theorem
Research output: Contribution to journal › Journal article › Research › peer-review
- The matter of math: Guiding the blind to touch the Pythagorean theorem
Final published version, 5.95 MB, PDF document
Science teaching relies heavily on visual illustrations and visually organized assignments as methods of teaching and proving concepts like the Pythagorean theorem. As Visually Impaired Persons (VIPs) cannot see, they derive no benefit from the use of such illustrations alone. Often, material objects are used to help VIPs understand mathematical concepts by means of tactile and haptic perception. In this paper, I will show the practices employed in the pursuit of transforming a visually available material object into something of specific scientific relevance for tactile and haptic exploration. This article thus emphasizes the matter – in the original sense of materiality – of math. Based on video-recorded data, this paper provides an in-depth interactional analysis of a single case in which a VIP engages in a mathematics learning situation with an assistant. This research is based on and contributes to ethnomethodology and conversation analysis by critically examining how objects are used to teach VIPs in math classes. The research has implications for a broadened understanding of how learning mathematics is not just a matter of logics, verbal descriptions or the visual analysis of charts and diagrams, but can also inherently involve the tangible materiality of mathematical representations.
|Learning, Culture and Social Interaction
|Published - 2024


This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
About the author
Michael Carter received his PhD in economics from Stanford University in
1980. He has taught economics and game theory in New Zealand, as well as
at various universities in Asia, Europe and North America.


AQA GCSE Mathematics
- Suitable for everyone. There is no such thing as a maths person.
- Working hard and being resilient are the most important skills.
- Pupils will enjoy studying about how everything in the universe works
- Well received at colleges and university as it’s the most important subject
What will I study & how will I be assessed?
The course builds on the topics that you have already covered in previous years but with an increased focus on applying mathematics in context, problem solving, reasoning and functional aspects of the subject. The course content is divided up into 6 broad areas of study of Number, Algebra, Ratio proportion and rates of change, Geometry and measures, Probability and Statistics. The final award is covered by 3 equally weighted written exams in the summer of year 11. Each is worth 80 marks and lasts 90 minutes; 1 non calc, 2 calc exams. The exams have two different levels of entry; higher and foundation. Pupils will be entered for the level appropriate to their aptitude and ability. You should have your own scientific calculator for GCSE maths as well as your own protractor and compass set.
What will I do in lessons?
You will have 5 lessons a week in year 10 and 11. The content will be mainly covered in year 9 and 10 to allow year 11 to be used for refining exam practice. You will learn about how maths underpins many other subjects and how learning the problem solving skills you need for maths will help you in every career that you could possibly think of. You will begin to understand how everything is linked through the intricate and crucial laws and rules of maths. Home revision work will be set every week on Hegarty maths throughout year 10. Year 11 will be expected to complete an exam paper at home once a fortnight on top of using Hegarty maths for revision.
Where can Mathematics take me?
The simple answer is wherever you want to go. Every job will use maths in some form. A good grade in maths will get you onto the college courses you wish to study. Studying maths at a further level will open the doors to some of the highest paying jobs available including actuary, accountancy, data analyst, economist, as well as allowing you to progress in jobs that link to maths such as engineering, computer science and astronomy.


Congratulations to STEM Math teacher Geena Taite, for being named a State/Jurisdiction Finalist for the prestigious Presidential Award for Excellence in Mathematics and Science Teaching (PAEMST)! This recognition is a testament to Geena's exceptional dedication and talent in the field of education. Geena's commitment to fostering a love for mathematics among her students is truly commendable, and her innovative teaching methods have undoubtedly made a lasting impact. Being chosen as a finalist for this esteemed award highlights Geena's expertise and outstanding contributions to STEM education, and she serves as an inspiration to educators everywhere.
Check the video here where she was among those honored in a virtual celebration by the National Science Foundation.


The Mathematics Department aims to encourage students to take pleasure
in mathematics and to appreciate the importance of mathematics, its relevance
to other aspects of the curriculum and to life beyond school. We believe that
it is essential that students have the best mathematical qualifications that
their potential allows, in order to be fully equipped for the work place and
their future lives.
Throughout the school mathematics curriculum, students are taught the six main strands of maths and how they might possibly interlink with each other. For example, being able to rearrange equations taught in the algebra strand is integral to being able to solve problems involving area, volume and trigonometry in the geometry and measures strand.
The six strands are: number; algebra; ratio, proportion and rates of change; geometry and measures; probability and statistics. These units are taught for approximately three weeks up to year 11 but are re-visited regularly. Fluency is developed by constant repetition and skills are revisited regularly.
» Click here to download the Mathematics curriculum.


In reality, there are complications. As an example, consider an experiment that measures the speed of sound in a material along the three directions (along x, y and z coordinates). share|improve this answer edited Nov 10 '15 at 5:29 answered Dec 21 '14 at 0:52 John 16.2k23062 you were right, more thought should be involved on my part in This is very difficult, so maybe you could get a few citizens to step on scale, compute the average and get an idea of what is the average of the population. http://quicktime3.com/standard-error/transform-standard-error-to-standard-deviation.php
When you look at scientific papers, sometimes the "error bars" on graphs or the ± number after means in tables represent the standard error of the mean, while in other papers It's a consequence of the simple fact that the standard deviation of the sum of two random variables is smaller than the sum of the standard deviations (it can only be Why don't C++ compilers optimize this conditional boolean assignment as an unconditional assignment?
This means that with $n$ independent (or even just uncorrelated) variates with the same distribution, the variance of the mean is the variance of an individual divided by the sample size. Search over 500 articles on psychology, science, and experiments. For some reason, there's no spreadsheet function for standard error, so you can use =STDEV(Ys)/SQRT(COUNT(Ys)), where Ys is the range of cells containing your data. Which Combination Of Factors Will Produce The Smallest Value For The Standard Error Describe in detail what happens to the standard error of the mean?
Means of 100 random samples (N=3) from a population with a parametric mean of 5 (horizontal line). If The Size Of The Sample Is Increased The Standard Error Will Individual observations (X's) and means (red dots) for random samples from a population with a parametric mean of 5 (horizontal line). Similar statistics Confidence intervals and standard error of the mean serve the same purpose, to express the reliability of an estimate of the mean. http://academic.udayton.edu/gregelvers/psy216/activex/sampling.htm A) sample size decreases.
This was an idealized thought experiment. The Sources Of Variability In A Set Of Data Can Be Attributed To: It may or may not be. I have interesting, cheap and avail materials as strength? Can i run a 24 vdc motor with 24VAC supply? 7 answers More questions Would galvanized stainless steel be significantly more bullet-proof than regular stainless steel? 4 answers 6 AA batteries
Not the answer you're looking for? http://www.biostathandbook.com/standarderror.html The bottom curve in the preceding figure shows the distribution of X, the individual times for all clerical workers in the population. Find The Mean And Standard Error Of The Sample Means That Is Normally Distributed Suppose X is the time it takes for a clerical worker to type and send one letter of recommendation, and say X has a normal distribution with mean 10.5 minutes and What Happens To The Distribution Of The Sample Means If The Sample Size Is Increased? Trending How come there are no genetically altered giraffes that can shoot lasers out of their eyes while backflipping on a trampoline? 8 answers Could an intentional flood stop a nuclear
This will take you many many years. have a peek at these guys If you can accept this line of thinking then we can insert it into the calculations of your statistics as standard error. Look at the standard deviation of the population means. By the Empirical Rule, almost all of the values fall between 10.5 - 3(.42) = 9.24 and 10.5 + 3(.42) = 11.76. When The Population Standard Deviation Is Not Known The Sampling Distribution Is A
The standard error is the fraction in your answer that you multiply by 1.96. (You can search for the standard error on this site using the tag standard-error.) –TooTone Mar 10 Video should be smaller than 600mb/5 minutes Photo should be smaller than 5mb Video should be smaller than 600mb/5 minutesPhoto should be smaller than 5mb Related Questions Standard error of mean? How can you do that? check over here up vote 15 down vote favorite 5 Big picture: I'm trying to understand how increasing the sample size increases the power of an experiment.
Source(s): wingstwo · 8 years ago 0 Thumbs up 0 Thumbs down Comment Add a comment Submit · just now Report Abuse Add your answer The standard error of the mean http://en.wikipedia.org/wiki/Variance#Basic_properties Correspondingly with $n$ independent (or even just uncorrelated) variates with the same distribution, the standard deviation of their mean is the standard deviation of an individual divided by the square It sounds like you are confusing the standard error of the mean with the standard deviation. The Width Of A Confidence Interval For μ Is Not Affected By: Payton, M.
There's no point in reporting both standard error of the mean and standard deviation. Your sample mean won't be exactly equal to the parametric mean that you're trying to estimate, and you'd like to have an idea of how close your sample mean is likely You could easily collect new samples of 3 and find new means several inches from the first ones. this content If you have an inaccurate shooter take five shots, and an accurate shooter take five shots, you will get a not-too-reliable idea of their accuracy.
Thus, the standard error of the mean should decrease as the size of the sample increases. Means of 100 random samples (N=3) from a population with a parametric mean of 5 (horizontal line). In general, did the standard deviation of the population means decrease with the larger sample size? I got mean=0.5711, SD=0.34.
Or, in other terms, the certainty of the sample mean often expressed as standard error. Usually you won't have multiple samples to use in making multiple estimates of the mean. That is, the difference in the standard error of the mean for sample sizes of 1 and 10 is fairly large; the difference in the standard error of the mean for


Overveiw of Regression And Classification
Fundamentally, classification is about predicting a label and regression is about predicting a quantity. ... That classification is the problem of predicting a discrete class label output for an example. That regression is the problem of predicting a continuous quantity output for an example.
As I start the regression first i go through the overview of regression like defination, advantages, different technique of regression. So I start with overview..
Defination: Regression is a method to analysis the set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables. when we want to predict a continuous dependent variable from a number of independent variables we use regression analysis
1) Predict sales in the near and long term. 2) Understand inventory levels. 3) Understand supply and demand. 4) Review and understand how different variables impact all of these things
regression method of forecasting involves examining the relationship between two different variables, known as the dependent and independent variables.
Types of Regression:
- Linear regression
- Logistic regression
- Ridge regression
- Polynomial regression #### After this I gernally go through 3 types of regression Linear, Logistic and Polynomial regression #### linear regression comprises a predictor variable and a dependent variable related to each other in a linear fashion. Logistic regression uses a sigmoid curve to show the relationship between the target and independent variables. However, caution should be exercised: logistic regression works best with large data sets that have an almost equal occurrence of values in target variables. Polynomial regression models a non-linear dataset using a linear model. It is the equivalent of making a square peg fit into a round hole. It works in a similar way to multiple linear regression (which is just linear regression but with multiple independent variables), but uses a non-linear curve. ### After that I perform Simple Linear regression :simple linear regression is a linear regression model with a single explanatory variable.That is, it concerns two-dimensional sample points with one independent variable and one dependent variable (conventionally, the x and y coordinates in a Cartesian coordinate system) and finds a linear function (a non-vertical straight line) that, as accurately as possible, predicts the dependent variable values as a function of the independent variable. The adjective simple refers to the fact that the outcome variable is related to a single predictor. #### I perform linear regression on a simple dataset of random number and also calculate the constrain value that is =|yi-wixi| where yi is target value ,wi is cofficient and xi is predictor. And also calculate max and min Illustrutive that is wixi+eps (max illustrutive) wixi-eps (min illustrutive)
#### After that I performed vector regression on Life expectancy dataset to predict life expectancy. So vector regression are supervised learning models with associated learning algorithms that analyze data for classification and regression analysis. and I used Sklearn to import SVM after that I analyse the dataset and get information about dataset and apply vector regression by fitting the dataset values and plot different graphs for analyse the predicted values #### After that I perform various type of regression on same dataset that are Follow:
- Rnadom forest regression
- Catboost regression
- XgBoost regression
- LightGBM regression
- Decision Tree ### So before performing these types of regression I go through the defination of these regression: #### 1. Random Forest Regression is a supervised learning algorithm that uses ensemble learning method for regression. Ensemble learning method is a technique that combines predictions from multiple machine learning algorithms to make a more accurate prediction than a single model. A Random Forest operates by constructing several decision trees during training time and outputting the mean of the classes as the prediction of all the trees. #### 2. Decision tree builds regression or classification models in the form of a tree structure. It breaks down a dataset into smaller and smaller subsets while at the same time an associated decision tree is incrementally developed. The final result is a tree with decision nodes and leaf nodes. #### 3. XGBoost is an efficient implementation of gradient boosting that can be used for regression predictive modeling.XGBoost is a powerful approach for building supervised regression models. The validity of this statement can be inferred by knowing about its (XGBoost) objective function and base learners. #### 4. CatBoost is a recently open-sourced machine learning algorithm from Yandex. It can easily integrate with deep learning frameworks like Google’s TensorFlow and Apple’s Core ML. It can work with diverse data types to help solve a wide range of problems that businesses face today. To top it up, it provides best-in-class accuracy. #### 5. LightGBM extends the gradient boosting algorithm by adding a type of automatic feature selection as well as focusing on boosting examples with larger gradients. This can result in a dramatic speedup of training and improved predictive performance.
After that I perform the various operation on life expexctency dataset to predict the life expectancy in next years and Perform Regression Algorithms to predict and classified the data and also claculate various Mean Absolute/Squared Error to check the data consistancy.
After that I perform various classification on dataset to classify the dataset
classification refers to a predictive modeling problem where a class label is predicted for a given example of input data. Examples of classification problems include: Given an example, classify if it is spam or not. Given a handwritten character, classify it as one of the known characters.
decision tree classification : it build Decision tree builds classification or regression models in the form of a tree structure. It breaks down a dataset into smaller and smaller subsets while at the same time an associated decision tree is incrementally developed.
- Perform Decision Tree Classifier algorithm that create a training model that can use to predict the class or value of the target variable by learning simple decision rules inferred from prior data or training data
- Perform XGBoost regression that is a scalable and accurate implementation of gradient boosting machines and it has proven to push the limits of computing power for boosted trees algorithms
- Perform GBM algorithm ( Gradient Boosting Machine Algorithm) that used to perdict the most accurate values and this algorithm can be used for predicting not only continuous target variable but also categorical target variable (classifier values)
- Perform Light GBM Algorithm that is a fast, distributed, high-performance gradient boosting framework based on decision tree algorithm, and used for ranking, classification and many other machine learning tasks. #### After that I Perform classifier and regresser Decission tree technique and their operation and learn how decision tree classified the data after that Analyse the Breast Cancer dataset and test and train that dataset. #### After that I Perform Classification on Breast cancer dataset (Decision tree classification, RandomForestClassification, CatBoost classification ) and their operation after that perform opencv operation on image dataset to color converter(RGB to Gray) and wraping of an image and face detection. #### after that I Perform classification method on image dataset to predict the best accuracy score and learn What is Image Classification and its use cases so Image Classification means assigning an input image, one label from a fixed set of categories and it is uses such as medical image analysis, identifying objects in autonomous cars, face detection for security purpose, etc. After applying different classification method I discovered tha SVM Classifier having best accuracy score and confusion matrix


Microeconomics in Context (Goodwin, et al. All the methods you need to use are prefixed by plot_. The links below point to separate pages for each plot type. Whenever a plot is drawn, title’s and a label’s for the x axis and y axis are required. In:= Out= Related Guides. " It describes a system very similar to Clausewitz's Trinity imagery, which has three attractors, but I find the Lorenz system to be especially relevant to Clausewitz's way of describing the variations in political and military ojjectives. Here is the code required to plot the X, Y and Z ndarrays and provide the axes labels (the axes info I got from here):. elapsed time (horizontal axis). Gini Index: The Gini index or Gini coefficient is a statistical measure of distribution developed by the Italian statistician Corrado Gini in 1912. Lorenz Attractor in R. The slides walk students through graphing a Lorenz Curve and calculating the Gini Coefficient. CONCLUSION: Major tachyarrhythmias imprint specific patterns on two-dimensional Lorenz plots generated from 24-hour Holter recordings. Lorenz system in R October 3, 2017 by Vadim Zaigrin When I graduated from high school, the theme of my diploma was “the Study of nonlinear dynamical systems with complex behavior”. In (a) and (b) show time plots (x(t) and z(t)) and 2d or 3d phase plots. 951291370506 Figure 1. The Lorenz attractor is our first line plot, made by Plotly's CEO Jack Parmer. To display a Lorenz curve like that below, select the Lorenz Curve option from the World Map, Lorenz Curve, Gini, Histogram form and choose the same variable you displayed in the World Map: GDP per capita at PPP or GDPPCP. They all come from. To solve the Lorenz equations and thus produce the Lorenz attractor plot, a program was written in FORTRAN, which used the aforementioned Fourth-Order Runge-Kutta method to evaluate the CODEs hence produce useable data in the form of a comma separating variable file. 1), and connect the points to form the Lorenz curve BCD. Sehen Sie sich auf LinkedIn das vollständige Profil an. http://www. the Lorenz attractor. Sometime later I may try to find the dimension. Do the same for Model B and compare the Gini indices produced by the two models. 5 Matlab Code function lorenz_spectra(T,dt) % Usage: lorenz_spectra(T,dt) % T is the total time and dt is the time step % parameters defining canonical Lorenz attractor. By moving the mouse, the user can rotate the system, and then by using the arrow keys he or she can move the point about which the plot rotates. Storage capacity is ordered in stratigraphic sequence. This syntax will overlay multiple Lorenz curves on the same plot. On the following graph, plot the Lorenz curves for the three countries. The panels in Figure 10. ##  "Hello World!" Once for a class assignment, we were asked to control the Lorenz system. elapsed time (horizontal axis). Edward Lorenz, 1956 A plot of the Lorenz attractor for the values r = 28, s = 10, b = 8/3 “Fast Eddy” and the Meteorology Department’s softball team, 1979. jl Documentation. Once you do the conversion, ensure that the data are in a XL range. Using the trapezoidal integration rule, we have (Jensent and Lake, 1991): ∑∑ ∑ == = Φ. cating fractal basin boundaries. In the following figure, an example of an ODE from chaos theory is shown: the famous Lorenz attractor. Dash Club is a no-fluff, twice-a-month email with links and notes on the latest Dash developments and community happenings. To solve the Lorenz equations and thus produce the Lorenz attractor plot, a program was written in FORTRAN, which used the aforementioned Fourth-Order Runge-Kutta method to evaluate the CODEs hence produce useable data in the form of a comma separating variable file. http://www. Now that we have reason to believe the process is stable, we would like to look more closely at the sources of process variation. Lorenz 96 model Metadata This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. Lorenz example¶. Lorenz Curve (Source: Wikipedia). 5; [t,y]=ode45(@lorenz,[0:0. Read "Double-sector Lorenz plot scattering in an R-R interval analysis of patients with chronic atrial fibrillation: Incidence and characteristics of vertices of the double-sector scattering, Journal of Electrocardiology" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. (Spoilers follow for anyone who hasn’t seen the film yet. logical argument that indicates if the Lorenz curve itself is plotted (if plot. The lorenz attractor was first studied by Ed N. , Cary, NC ABSTRACT SAS/GRAPH software is a very powerful tool for creating a wide range of business and scientific graphs. Lorenz Curves and Treatment-Covariate Interactions in Clinical Trials Pj, and with t⇤ a suitably chosen time point (Bonetti and Gelber, 2004). Lorenz Attractor - 1 view - Color This application shows only the YZ plane and colors the points from black, through the cool and then warm colors, to white as the algorithm generates them from the first to the last iteration. The vector field of the Lorenz system flow is integrated to display trajectories using mlab’s flow function: mayavi. Active 1 year, 4 months ago. L1), press the CLEAR button, then press the down arrow key. 67,4ê8ê2002 intreset; plotreset; ‡1. We need a variable column (all in numeric value), the example has values from cell A2 to A101. You could have uses CreateSpace(curve,0,100,21) without getting the error, but the plot would consist of 21 points only. Lorenz Equations Date: 12/25/2002 at 19:20:11 From: John Subject: Lorenz equations I don't understand how to plot numbers in Lorenz equations in order to get points I could plot. Such a plot is called the bifurcation diagram. The graph plots percentiles of the. Author: Thomas Breloff (@tbreloff) To get started, see the tutorial. vector, plot (y) produces a linear graph of the elements of y versus the index of the elements of y. The equations describe the flow of fluid in a box which is heated along the bottom. Following Lorenz, we consider a chaotic solution of the Lorenz equations, and we extract the maxima in z. CONCLUSION: Major tachyarrhythmias imprint specific patterns on two-dimensional Lorenz plots generated from 24-hour Holter recordings. Piper Plot and Sti Diagram Examples Dave Lorenz October 24, 2016 Abstract This example demonstrates how to prepare data for a Piper plot and create a Piper plot (Piper, 1944) from those data. Line Charts and Options. So you can use this in a Calculated column like this: NormDist([MyValue],Avg([MyValue]),StdDev([MyValue])) And display that on your y-axis of a scatter plot while your x-axis can be [MyValue]. 0 20 40 60 80 100 120. The system is most commonly expressed as 3 coupled non-linear differential equations. The plot of this house was a quarter of a large garden where in the sixteenth-century galleys were built for the Turkish war. "GLCURVE: Stata module to derive generalised Lorenz curve ordinates," Statistical Software Components S366302, Boston College Department of Economics, revised 24 Jun 2008. It was developed by Max Lorenz in 1905, and is primarily used in economics. Figure 3, below, shows the shape of Lorenz Curves in the case of the three income distributions A, B and. This new modified moving window Lorenz plot method seems promising way of constructing a portable ECG-based epilepsy alarm for certain patients with epilepsy who needs aid during seizure. To test with multiple series, try setting 'variation' to about 20, 'spread' to about 0. Stratified Plots. Consider the following income distributions: A) Plot the Lorenz Curves for 1990 and for 2000. An example displaying the trajectories for the Lorenz system of equations along with the z-nullcline. The Lorenz attractor is an example of chaotic dynamics in 3-dimensional space. 3 Image Processing From the RR time interval data, standard Lorenz plot was constructed by plotting. Lorenz, is an example of a non-linear dynamic system corresponding to the long-term behavior of the Lorenz oscillator. The Lorenz curve is a simple way to describe income distribution using a two-dimensional graph. The system is most commonly expressed as 3 coupled non-linear differential equations. ROC curve analysis in MedCalc includes calculation of area under the curve (AUC), Youden index, optimal criterion and predictive values. Lorenz Curve and Gini Coefficient #python. GitHub Gist: instantly share code, notes, and snippets. (Spoilers follow for anyone who hasn’t seen the film yet. No matter, there’s more than one way to skin this cat. The plot appears on a separate graph page (Graph Page 1). Re: Lorenz 310 Snowblower not working with wet snow. The Lorenz oscillator is a 3-dimensional dynamical system that exhibits chaotic flow, noted for its lemniscate shape. Bear in mind that if you plan to hand in 20 plots, you will do the grader (and mother nature) a favor by using the subplot function to t multiple plots into one page. The Lorenz attractor is a strange attractor, a geometrical object with fractal dimension. Space-time separation plot Distance between two random points from the trajectory will depend on how far apart in time we make the observations For each h > 0, calculate the empirical distribution of kXt −Yt+hk Plot the quantiles as a function of h Example: logistic map stplot(x. XIANG JIN TAO] on Amazon. Lorenz, is an example of a non-linear dynamic system corresponding to the long-term behavior of the Lorenz oscillator. It looks like we don't have any Plot Summaries for this title yet. Show students the YouTube Video Measures of Income Inequality. Lorenz's Waterwheeel In the 1960s, Edward Lorenz, a meteorologist experimented with primitive computer simulations of. Not everyone has played every Fire Emblem game. This is the first post in this blog. Dash Club is a no-fluff, twice-a-month email with links and notes on the latest Dash developments and community happenings. Calculate the Gini index for Model A as twice the area between the Lorenz Curve and the Line of Equality. How to plot multiple data series in ggplot for quality graphs? I've already shown how to plot multiple data series in R with a traditional plot by using the par(new=T), par(new=F) trick. The Lorenz curve is a way of illustrating the income distribution of a country. In our case, we chose an integration method that is the standard 4th-order Runge Kutta technique with a time step. The graph plots percentiles of the. Say we take one of the solutions to the Lorenz equations, and plot where the trajectory crosses the x-y plane when the value of z is 20 and increasing. The 76-year-old, who now lives in Queens, New York, was shocked by the news her first love had. Calculate the Gini index for Model A as twice the area between the Lorenz Curve and the Line of Equality. 6 Please use spoiler tags for major plot events, regardless of the game. "ALORENZ: Stata module to produce Pen's Parade, Lorenz and Generalised Lorenz curve," Statistical Software Components S456749, Boston College Department of Economics, revised 09 Jul 2012. The Lorenz attractor, named for Edward N. Piper Plot and Sti Diagram Examples Dave Lorenz October 24, 2016 Abstract This example demonstrates how to prepare data for a Piper plot and create a Piper plot (Piper, 1944) from those data. The Lorenz curve was developed by Max O. Plot The story opened with a prologue, in which Martin (the Yankee) is visitinghis former fiancée, Alice Carter, on the eve of his marriage to Fay Morgan. It looks like we don't have any Plot Summaries for this title yet. _"Deterministic Nonperiodic Flow":. ch October 27, 2016 Abstract Lorenz and concentration curves are widely used tools in inequality research. Note : You can further customize the plot by choosing the Graph Properties option after right clicking the graph or use Graph>> Graph Properties. GitHub Gist: instantly share code, notes, and snippets. A Lorenz curve is essentially a XY Scatter chart with the (bottom) n% on the x axis and the %of income/wealth on the y axis. 2 shows the plot of the four-year disease free survival (DFS) estimates in. Estimating Lorenz and concentration curves in Stata Ben Jann Institute of Sociology University of Bern ben. The Lorenz attractor, named for Edward N. We compute all 111011 periodic orbits corresponding to symbol sequences of length 20 or less, periodic orbits whose symbol sequences have hundreds of symbols, the Cantor leaves of the Lorenz attractor, and periodic orbits close to the saddle at the origin. Person Income Al $500 Beth 250 Carol 125 David 75 Ed 50 Instructions: Use the tool provided 'Lorenz' to plot a Lorenz curve. What Socrates needs is something that can certainly be supplied, some suitable articulation of the different ways in which the soul can be said. It is also possible to plot the components against each otherwith the command The result is called a phase plane plot, The Lorenz system. Please help, i would need it urgently! Thanks, Judit. Lorenz Plot Showing Normal Sinus Rhythm AF detection settings are auto-adjusted based on the Reason for Monitoring, which is found in Device Data Collection. This plot shows a single periodic orbit of the Lorenz equations. Lorenz (1963) equations. Figure 1 about here The Lorenz curve plots the cumulative share of total income against the cumulative. First let's generate two data series y1 and y2 and plot them with the traditional points methods. 8 Chaos and Strange Attractors: The Lorenz Equations 533 a third order system, superﬁcially the Lorenz equations appear no more complicated than the competing species or predator–prey equations discussed in Sections 9. RESULTS: (1) Fan-shaped RR-Lorenz plots were evidenced in Group A. Use Wolfram|Alpha to generate plots of functions, equations and inequalities in one, two and three dimensions. 0; sigma := 10. The Gini index can be calculated from a Lorenz curve by taking the integral of the curve and subtracting from 0. Read "Cardiac Arrhythmias Imprint Specific Signatures on Lorenz Plots, Annals of Noninvasive Electrocardiology" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. The extent to which the curve sags below the straight diagonal line indicates the degree of inequality of distribution. Plot Haiti's Lorenz curve using the green points (triangle symbol), Croatia's Lorenz curve using the blue points (circle symbol), and Nicaragua's Lorenz curve using the purple points (diamond symbol). Providing Data for Plots and Tables from scipy. MiePlot was originally designed to provide a simple interface (for PCs using Microsoft Windows) to the classic BHMIE algorithm for Mie scattering from a sphere - as published by Bohren and Huffmann in "Absorption and scattering of light by small particles" (ISBN 0-471-29340-7). The Gini index measures the area between the Lorenz curve and a hypothetical line of absolute equality, expressed as a fraction of the maximum area under the line. One can plot F versus C on a linear graph (Fig. This geovisualization plot is used to organize and display geographic information. Use NDSolve to obtain numerical solutions of differential equations, including complex chaotic systems. The Lorenz attractor is a strange attractor, a geometrical object with fractal dimension. plot the (n+1)th value of Z max against the nth value of Z max. XIANG JIN TAO] on Amazon. I'm going to do a plot with the three components. The graph plots percentiles of the. This Page's Entity. Do the same for Model B and compare the Gini indices produced by the two models. View Essay - Lorentz plots from INGENIERIA 1233 at ULA VE. Its shape was described in terms of Fourier coefficients. It plots the cumulative contribution to a quantity over a contributing population. Say we take one of the solutions to the Lorenz equations, and plot where the trajectory crosses the x-y plane when the value of z is 20 and increasing. Integrate the Lorenz model for scale time interval of 10 units starting from the initial condition ( x, y, z ) = ( 4. The double lob remembering a butterfly wing is on the imagination of any complex systems enthusiast. Also, the original Lorenz equations are three-dimensional, so the attractor properly should be displayed in three dimensions. The Lorenz Curve is a graphical method used to display the concentration of activities within an area (e. The site is maintained by FAO’s. - ANC, The World Tonight, October 16, 2017. Referring to the chart below, they defined the Lorenz coefficient of heterogeneity as the (area between the green curve and the red curve) / (area between the red curve and the X axis). Be the first to contribute! Just click the "Edit page" button at the bottom of the page or learn more in the Plot Summary submission guide. Then Dick may have a catchy tune idea. Gunter, SPE, Amoco EPTG; J. The following Matlab project contains the source code and Matlab examples used for lorenz attaractor plot. The area. Lorenz is at Coastal Television - Your Alaska Link. Intro to Plots in Julia. The characteristics of RR-Lorenz plot between the two groups were compared. The first shows a straightforward fit of a constant-speed circular path to a portion of a solution of the Lorenz system, a famous ODE with sensitive dependence on initial parameters. Once you do the conversion, ensure that the data are in a XL range. It may have surfaces, stacked together line a deck of cards, or like the leaves in a head of cabbage. The movie is particularly popular for its odd plot twists and the inclusion of Donnie's imaginary six-foot rabbit, Frank. The implementation of the Lorenz-96 model coupled to PDAF is in the directory testsuite/src/lorenz96/ of the PDAF package. Charting Income Inequality 5 The Lorenz Curve Table 2 - Calculating Lorenz Curves 1 individual 1 3 5 DISCUSSION 5. Further, they find that Lorenz is killing his accomplices. T ˇ31 the Lorenz equation possesses a genuinely strange chaotic attractor, known as the Lorenz attractor, containing no stable orbits. Sehen Sie sich das Profil von Lorenz Keller auf LinkedIn an, dem weltweit größten beruflichen Netzwerk. Storage capacity is ordered in stratigraphic sequence. You will have to convert the top m% to bottom p%. I plot the strange attractor as well as use MATLAB to produce a GIF of the solution. Lorenz Attractor - 1 view - Color This application shows only the YZ plane and colors the points from black, through the cool and then warm colors, to white as the algorithm generates them from the first to the last iteration. Journal of Mathematics is a peer-reviewed, Open Access journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. The Stata code run but my problem is that the graph is wrong, because all incomes appear as straight lines I mean over y axis and those don't look as curves under line 45 that I was created. This attractor was derived from a simplified model of convection in the earth’s atmosphere. Here's Lorenz plot. Plots is a visualization interface and toolset. For a variety of reasons, incomes vary greatly by households. The concept of the well-known Langley plot technique, used for the calibration of ground-based instruments, has been generalized for application to satellite instruments. It also contains annotation lines that should facilitate the explanation of the plot (e. The curved line is the Lorenz Curve while the straight obliqued line is the line of income equality. Plotly now lets you make 3D scatter, line, and surface plots. SPE 38679 Early Determination of Reservoir Flow Units Using an Integrated Petrophysical Method G. 666666667 R := 28. It is only fair they get a chance to go into a story blind for the full experience. FREE COMICS, Comic Book humor, superhero pop culture and more from creator Lorenz (Octane Comics). Once you do the conversion, ensure that the data are in a XL range. 2 Example: Lorenz Attractor The applet Lorenz (see the Examples page) shows trajectories of the famous Lorenz equations in an animated way. RESULTS: (1) Fan-shaped RR-Lorenz plots were evidenced in Group A. Lorenz is at Coastal Television - Your Alaska Link. We will wrap up this series with a look at the fascinating Lorenz Attractor. In this graph, the horizontal axis represents the cumulative percent of households, lined up from left to right in order of increasing income. Calculate the Gini index for Model A as twice the area between the Lorenz Curve and the Line of Equality. Lorenz curve for a given income distribution is measured by some index of inequality. Menu Home. It was developed by Max Lorenz in 1905, and is primarily used in economics. Hey everyone, I'm really hoping someone can help me with this I need to plot percentages over time in a line graph in excel. The third example did not change: in that example, we are combining a scatterplot and a line plot. However, due to Castro’s erratic travel schedule, the plot was never put into action. The blue is the same equation with initial conditions [8 1. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system. gom plot the mean of variable depvar against the mean of variable order as ordered by percentiles of the population by variable order. The application of Lorenz plot in analysis of vivo algae excitation fluorescence spectra Abstract: It's the first time to use Lorenz scatter in vivo algea excitation fluorescence analysis. GNUPLOT_I_EXAMPLES, C++ programs which demonstrate the use of the GNUPLOT_I library for interactive runtime GNUPLOT graphics. First, let's convert a ggplot2 tile plane into a Plotly graph, then convert it to a 3D plot. This is an example of plotting Edward Lorenz's 1963 `"Deterministic Nonperiodic Flow"`_ in a 3-dimensional space using mplot3d. I'm going to do a plot with the three components. Easily obtained on google … IN SUMMARY WITH REFERENCE TO THE ABOVE GRAPH In economics, the Lorenz curve is a graphical representation of the distribution of income or of wealth. Although I did not explain it during my lectures, calculating a Gini index or displaying the Lorenz curve can be done very easily with R. However, it may also be used to show inequality in other systems. The Lorenz system is a system of ordinary differential equations first studied by Edward Lorenz. Maple provides many varied forms of plots for you to use. Generalized Lorenz curves and social welfare • Generalized Lorenz curve is the Lorenz curve scaled up at each point by population mean income, i. First use an ODE plotting utility to reproduce the xz-projection of the Lorenz trajectory shown above. The rest of the curve is then constructed by looking at all of the percentages. 25 Senators in Secret Meeting With Jewish Leaders to Plot Strategy Against Growing Anger Over Influence of Jewish Elites. This design shows a simple analog circuit that, when combined with a microcontroller and code, first simulates and then synthesizes chaotic signals using Lorenz chaotic-system principles. plotting method for objects of class "Lc" (Lorenz curves) plot. Concept artist Christian Lorenz Scheurer, dynamic locations, or pivotal moments in the film’s plot. 0 20 40 60 80 100 120. Stratified Plots. Lorenz Curve. The plot will give you an idea of any trends or seasonality in the series. SPE 38679 Early Determination of Reservoir Flow Units Using an Integrated Petrophysical Method G. Examples of these complex systems that Chaos Theory helped fathom are earth's weather system, the behavior of water boiling on a stove, migratory patterns of birds, or the spread of vegetation across a continent. You will have to convert the top m% to bottom p%. If Model A produced the Gini plot above, it would tell us that Model A has identified 60% of risks that contribute only 20% of total losses. Estimating Lorenz and concentration curves in Stata Ben Jann Institute of Sociology University of Bern ben. For new useRs, here’s something to note about ggplot2 when plotting the Lorenz system’s behaviors. The plot of this house was a quarter of a large garden where in the sixteenth-century galleys were built for the Turkish war. Kurva Lorenz mangrupa grafik nu nembongkeun, di handap x% rumahtangga, persentase y% total panghasilan no dipibanda. Plots the Lorenz curve that is a graphical representation of the cumulative distribution function. Kurva Lorenz dumasar kana ieu pernyataan; unggal titik dina kurva ngagambarkeun unggal pernyataan. The Lorenz system is a system of ordinary differential equations (the Lorenz equations) first studied by Edward Lorenz. Plots is a visualization interface and toolset. Visualize the Lorenz Attractor. The horizontal axis measures the percentages of the population while the vertical axis shows the percentage of the national income that they receive. Lorenz Curve: The Lorenz curve is a graphical representation of income inequality or wealth inequality developed by American economist Max Lorenz in 1905. Give it a function called the Lorenz equation. An introductory primer on chaos and fractals; The meaning of the butterfly: Why pop culture loves the 'butterfly effect,' and gets it totally wrong, Peter Dizikes, The Boston Globe, June 8, 2008. The significance of these equations, which were discovered by Edward Lorenz back in the 60s, is that relatively simple systems such as these could exhibit rather complex (specifically, chaotic) behavior. 0 ) and store the data. Press 'Reset Axes' to reset. He was a meteorologist studying weather forecasting—and the question of the fundamental limitations to this endeavor. If there were two dimensions, then it would be a lot harder to get the sorts of complicated behaviour we see. A population is divided into quintiles: The richest quintile is the 20% of households with the highest disposable. Referring to the chart below, they defined the Lorenz coefficient of heterogeneity as the (area between the green curve and the red curve) / (area between the red curve and the X axis). gp plot the Pen's Parade curve (max value of each percentile). Is it possible that there isnt such option on this version? Or its there under another name? I could find it under Chart wizard in another version. To do so, calculate 1-population%, and 100- income%. Q&A for Work. Jay Lorenz subscribe to this author via RSS. Major changes in the structure of the standard energy model, the Turner 2004 parameters, the pervasive use of multi-core CPUs, and an increasing number of algorithmic variants prompted a major technical overhaul. 70+ channels, more of your favorite shows, & unlimited DVR storage space all in one great price. Lc: Plot Lorenz Curve in ineq: Measuring Inequality, Concentration, and Poverty rdrr. Also, the original Lorenz equations are three-dimensional, so the attractor properly should be displayed in three dimensions. logical argument that indicates if the Lorenz curve itself is plotted (if plot. After finding this sequence, we will plot zn+1versus zn. It is notable for having chaotic solutions for certain parameter values and initial conditions. We tested the potential of a GIS mapping technique, using a resource selection model developed for black-tailed jackrabbits (Lepus californicus) and based on the Mahalanobis distance statistic, to track changes in shrubsteppe habitats in southwestern Idaho. The graph plots percentiles of the. The Lorenz system is a non-linear system involving three parameters. Notice how the two graphs are identical for a while and then eventually bear no similarity at all. You will have to convert the top m% to bottom p%. In the following figure, an example of an ODE from chaos theory is shown: the famous Lorenz attractor. It also arises naturally in models of lasers and dynamos. It may have infinite length, but fit inside a finite box. No matter, there’s more than one way to skin this cat. lc = FALSE, only the line of equality is plotted)) Details The Gini coefficient (Gini 1912) is a popular measure of statistical dispersion, especially used for analyzing inequality or concentration. Travis CI build status: This is a small package for the famous statistical programming language R. Historgrams and Overlayed Normal Curves in Excel How to create histograms using Excel 2003 and 2007. English: An icon of chaos theory - the Lorenz attractor. Apparently there is no way to add tick marks or control their spacing in the frame box for 3d plots as you can do it in 2d plots. 25 Senators in Secret Meeting With Jewish Leaders to Plot Strategy Against Growing Anger Over Influence of Jewish Elites. Line Charts and Options. There is the NormDist() function which takes 3 arguments: NormDist([myDataColumn], [Mean], [Standard Deviation]). This sensitivity is now called the "butterfly effect". Lorenz (1963) equations. EASYPol is a multilingual repository of freely downloadable resources for policy making in agriculture, rural development and food security. by "Federal Reserve Bank of St. This presentation provides an overview the types of graphs that can be produced with SAS/GRAPH software and the basic procedure syntax for. It is also possible to plot the components against each otherwith the command The result is called a phase plane plot, The Lorenz system. ) of what in the Republic framework is the non-rational soul. The Armed Forces of the Philippines has neutralized the Red October plot, an alleged ouster move hatched by anti-government forces against President Duterte. In:= Out= Related Guides. The notion of butterfly effect is coupled with that of the Lorenz attractor. This sensitivity is now called the "butterfly effect". Lorenz curve—named after Max Lorenz, the statistician who first developed the technique. 7 Plotly Graphs in 3D: Stocks, Cats, and Lakes. In our case, we chose an integration method that is the standard 4th-order Runge Kutta technique with a time step. The Gini coefficient boils down that full range of data to a single number, which is why it's useful for comparisons. How Lorenz Plots are made in. This is a Lorenz curve: a graph on which the cumulative percentage of some variable is plotted against the cumulative percentage of the corresponding population and is ranked in increasing size of share. The Lorenz curve is a simple way to describe income distribution using a two-dimensional graph. Edward Lorenz, 1956 A plot of the Lorenz attractor for the values r = 28, s = 10, b = 8/3 “Fast Eddy” and the Meteorology Department’s softball team, 1979. The Gini index can be calculated from a Lorenz curve by taking the integral of the curve and subtracting from 0. Sometime later I may try to find the dimension. The Lorentzian function has Fourier transform. You can do anything pretty easily with R, for instance, calculate concentration indexes such as the Gini index or display the Lorenz curve (dedicated to my students). However, Socrates' attribution to the soul of all and only desires, emotions and beliefs of reason (to use the Republic framework) is actually quite compatible with the view that the soul is responsible for all the life-activities organisms engage in, including, of course, the desires (etc. Excerpt from GEOL557 Numerical Modeling of Earth Systems by Becker and Kaus (2016) 1 Exercise: Solving ODEs – Lorenz equations Reading Spiegelman (2004), chap. plot the (n+1)th value of Z max against the nth value of Z max. Click Store to save the Gini coefficient or coefficient of asymmetry for a Lorenz curve. However, vectorize converts symbolic objects into strings. You can copy and paste this code and use a test username and key, or. Gini coefficient, along with Lorenz curve, is a great way to show inequality in a series of values. A Lorenz curve is a graph used in economics to show inequality in income spread or wealth. Menu Home. Major changes in the structure of the standard energy model, the Turner 2004 parameters, the pervasive use of multi-core CPUs, and an increasing number of algorithmic variants prompted a major technical overhaul. 67,4ê8ê2002 intreset; plotreset; ‡1. The standard image analysis techniques were applied to the grey scale images of Lorenz plots, and the outlines of the attractor areas were determined via a contour following procedure based on a maze walking algorithm. Provided is a full implementation of PDAF with the nonlinear Lorenz96 model (E. Although the Nspire is capable to plot 3D graphs, sequence functions is supported in 2D plot only. plotting import figure, show, output_file sigma = 10 rho = 28 beta = 8. But the Mathcad 13 example attached below is based upon an image that I saw in Mathsoft's sales brochure for Mathcad PLUS 6. The L shape of the scatter plot was not what I expected. Lorenz, a pioneer of chaos theory, the Center fosters creative approaches to increasing fundamental understanding. In his famous 1963 paper Lorenz picturesquely explains that a butterfly flapping its wings in Beijing could affect the weather thousands of miles away some days later. [A plot of L is given in Peitgen, Juergens Saupe "Chaos and Fractals", p. The Lorenz system is a continuous dynamical system, which means that the values of x, y, and z determine the future of the system, which means that if you plot a line in 3D space, that line can’t cross itself. The value of the Lorenz coefficient ranges from 0 to 1, a uniform permeability reservoir having a Lorenz coefficient of zero. integrate import odeint from bokeh. First, let's convert a ggplot2 tile plane into a Plotly graph, then convert it to a 3D plot. Petrel With a little help from Excel Objectives of the Lorenz Plot Using Phie & K log data To classify the reservoir in terms of Flow units Storage units To divide the reservoir into meaningful units for simulation To support reservoir characterization Data processing overview Re-sample the reservoir in 1m. Lorenz Curve. Sometime later I may try to find the dimension. The accumulation plot also know as Lorenz Curve is a type of geovisualization. The Lorenz Curve shows how data is distributed with two variables, and can easily be compared with a perfect equality line to show the disproportionate distribution of a variable. This geovisualization plot is used to organize and display geographic information. It offers the possibility to draw nice Lorenz curves with Hadley Wickhams ggplot2 package and compute different inequality measures (until now only the Gini-Index and the Herfindahl-Index are implemented). Lorenz Attractor. RESULTS: (1) Fan-shaped RR-Lorenz plots were evidenced in Group A. Use ODE 23. EASYPol is a multilingual repository of freely downloadable resources for policy making in agriculture, rural development and food security. The crossing of trajectories to different wings of the butterﬂy and the apparent merging of the two surfaces are both evident in this plot. First let's generate two data series y1 and y2 and plot them with the traditional points methods. The Lorentzian function extended into the complex plane is illustrated above. But a faster solution to create the grid without the loop and saving every line in a file in is to use the Scilab function meshgrid. 3 Curves, Points, and Hints). It is an example of the usage of point-to-point hints (see Chapter 1. t time series plot of the system with initial conditions. “Wala na ‘yang Red October na ‘yan, lusaw na.


The Common Core Standards Project at the Byron Community Unit School District No. 226 regards the work of teachers and administrators in the academic areas of English/Language Arts and mathematics with the goals of improving curriculum, delivery of instruction, and assessment as the foundations for leading improvements in student learning. The Common Core Standards Projects is a District-wide effort whereby teams of teachers and administrators in each academic area meet on a one-time-per-month basis for an entire school day in order to analyze the District’s current curriculum. In addition teams restructure that curriculum based on the Common Core State Standards and Partnership for Assessment of College and Career Readiness Frameworks and Assessments (PARCC), and newly establish a highly-cognitively challenging and skills-based curriculum to promote top-caliber student learning.
On behalf of the Board of Education, I strongly commend the work of the District’s teachers and administrators with this significant curriculum and instruction project. The work of the District’s teachers and administrators evidences the highest standards of professionalism and competencies. The outcomes of this completed work for advancing on current student learning performance will be profound throughout our school district.
Sincerely, Dr. James Hammack
October 12, 2012


Ice Breakers Ice Cubes gum: $1 each, used 5-$1/2 coupons, earn $5 ECB = 10 FREE
Hershey Bars: $.50 each, used 3 BOGO coupons = $1.50 for 6
Crest Pro-Health: $3.49 each, 3-$.75, 1-$1 coupons, earn $3.49 ECB each = -$3.25 for 4
Life Water: $1 each (because I thought I needed these to use my bucks...oh well. needed a drink anyway)
$34.61 worth of items
used $9.75 in coupons.
Spent $17.98 ECB and earned $18.96
Spent $1.53 on GC
Problem with the candy...After having bought 6 total of the green and blue, 2 rasberry and 2 kiwi strawberry gum, and 6 candy bars...my total for the "spend $10 get $5 ECB" should have been $13. However, my receipt only showed $8 and my ECB did NOT print! I returned the "red" gum and bought blue and green and the buck printed. So something between the red gum and the candy bars is not counting toward the total like it should...but I have no idea what because the math just doesn't work. And once you hit $10, and the offer limit, the receipt only says $10 for the total spending, so no idea what it really counted...oh well!


CSEC CXC Maths Past Paper 2 Ques 10a(iii) Jan 2013
Last updated June 12 2013 , created June 12 2013 , viewed 563
CSEC CXC Maths Past Paper 2 Ques 10a(iii) Jan 2013 Exam Solutions (Answers)_ GO TO http://www.willedutech.com/ and learn for FREE. Showing how to use the Tangent Theorem of the circle to find a missing angle in an isosceles triangle. Taken from CXC CSEC Math Exam Paper 2 Question 10a(iii) Jan 2013.
Downloads and web links
- Grade 8 / Math (5620)


The measurement of the surface tension on glass at high temperatures is always troublesome, because of the inherent difficulties of the measurement. Surface tension can not be measured directly but it needs to be computed mathematically from the measurement of other physical properties. Methods like the torsion scale with the platinum ring, or the weight of a drop, which are widely used to measure surface tension on liquids at room temperature, are quite difficult to apply on molten glass. In the glass industry the measurement of surface tension is commonly carried out using the method of the pendant wire, heated with a platinum loop. This method is quite simple and inexpensive, but it suffers of a poor temperature control, beside the fact that it is impossible to carry out the test over a wide range of temperatures. In the last 20 years a new method for the measurement of surface tension gained more and more credit, even though it was conceived more than 200 years ago. The two genius of mathematics Laplace and Young wrote the equation which describes the shape of the separation surface between two fluids as a function of the density of the two fluids and of the interfacial tension. This equation, known as Young-Laplace, can be used to compute the surface tension of a drop of liquid, knowing the density at the temperature of the measurement and analysing the shape of the drop. Nowadays there are several instruments available on the market which perform the measurement of the surface tension based on this principle, but all of them work only up to few hundreds degrees.


Varsity Tutors Coupons and Deals - CouponFacet
More Fox Rent A Car Get An Extra 5% Off On Fullsize Suvs In Lax.
Click on the show coupon code button to reveal code. 2. Tabtor Math is an online resource that tutors and students can use to.
Up to 50% Off Varsity Tutors Coupon: 2017 Coupon Codes
Varsity Tutors Discount Codes, Vouchers, Voucher Codes, Deals, Promo codes and Cashback Discounts can be found here.Varsity Tutors coupons, promo codes, discounts, sales and more.
Your child can also participate in a free assessment that will.
Kumon Coupons and Deals. maths tutors, maths tutoring, maths tutor, maths help, maths support for children, kumon tutoring, kumon tuition, english tutor,.Discount cannot be combined with any other discounts, offers, coupons, special promotions, or commercial rates.
We believe all students should get the help they need and not have to go in debt.Get 5% off Rentals with Promo Code at Chegg, Chegg Discount Code: Free Shipping,.
Parent Orientation - Kumon
Digitaltutors.com coupon code and promo code for November 2017.Complete list of all Chegg Coupons for November 2017 guaranteed.
Confirmation number will be provided to customer upon confirmation of rental deposit.Do you need to save money on tutoring services you can trust.Get Varsity Tutors promo and coupon codes automatically applied at checkout.Save up to 60% on All Math Tutor Courses at MathTutorDVD. 40% OFF Discount Code.Search for free Tutor online coupons, Tutor promotional codes at tutor.com and save with CouponAlbum when shopping online.
We offer private tutoring and group review sessions in math and science subjects for CEGEP students.
Math Tutors | Sylvan Learning
PeerGenius Tutors are experts in midterms, finals and AP test preparation.
Tutoring coupons, coupon codes, promo codes, exclusive deals and discounts from Goodshop stores will save you big.Get extra percentage off with varsitytutors.com Coupon codes November 2017.
Special Offers & Promotions | Mathnasium of Gilbert
MathTutorDVD Coupon Codes 2016
Find and share math tutor coupon codes and promo codes for great discounts at thousands of online stores.Depending on the retailer, a promo code may be called a number of different things including coupon code, discount code, gift code, voucher code, or promotion code.
Best Cash Back Guarantee: we will match 125% of any higher rate you can find for Varsity Tutors.
Cafetalk | Limited Time Offer!Cafetalk Discount Coupons
Varsity Tutors is a private tutoring and test prep firm in Seattle that specializes in at-home tutoring for subjects including math, science, test prep, and foreign.
More ABCmouse Sign Up And Get Your First Month Free Get the Deal Details: No promo code required.
30% Off Kumon Coupon: Nov 2017 Promo Codes
Tutors can also help with the development of study skills, time management, and.


Boowa and Kwala wait for Santa
It is a cold, winter evening just before Christmas...
Which is it ?
With the clues, find the right card. You start with 100 points. Can you add to your score?
The pen caps mix-up
Can you find the right cap for each pen?
Candela at the market - Jigsaw puzzle
Candela at the market! What a pretty picture!! Rebuild the jigsaw puzzle and you can print this...
10 Little Practical Problems
Help Marcelino solve the following maths problems.
Draw your heroes
With virtual pencils and felt-tip pens, copy the pictures of your favorite UpToTen heroes. You can...
The solar tent
In this picture, the sun rises on the right and sets on the left. Just like a sundial, the shadow of...
Bursting bubbles at the circus
The clown is in the big top. Help him to burst all the bubbles. But be as quick as you can... The...
Boowa & Kwala
The site without ads
UpToTen Premium with over 100 lessons and more than 1,405 engaging learning activities
Free access to schools
UpToTen - the fun place to learn on-line
Conditions of use
™, ® , © 1999 - 2016 UpToTen All rights reserved.


Blackjack is the favorite card game in the Wild Card City Casino. Players love to play blackjack for its ease of gameplay and a high chance of hitting the big jackpot. Some gambling experts use the practice of card counting, which allows you to always win in blackjack. It is better to use it in real casinos, but in theory, you can use this practice even in online gambling. Let us tell you how to count cards in blackjack.
What is Card Counting?
In blackjack, card counting is a curious tactic where you have to guess who will have an advantage in a game, the dealer or the player. It allows you to make more winning bets with the minimum amount of risk to yourself. If the other player starts to win, then with the help of card counting tactics, you can change the course of the game, change decisions, and adjust it to your winnings.
How to Count Cards? Step-By-Step blackjack guide
Counting cards can do every person who knows the process and has rich experience playing the blackjack. This strategy is called Hi-Lo, and to use it, the player should break your play into some steps:
- Step 1. When you start to play, memorize all the cards' assigned values. Use this table.
|All the high cards, like 10, Jack, Queen, King, Ace
|Count them as -1
|All the low cards (from 2 to 6)
|Count them as +1
|Other cards, 7-9
|Count them as zero
- Step 2. Count all the cards you see on the table. If you see four cards with «-1, -1, 0, 0», the amount is negative. It means that the game is more profitable for the dealer than for the player. To win, you have to increase the run count.
- Step 3. Then you should find out the "true count", or count per deck. To win, dealers always use multiple decks. To obtain information about the probabilities within the game, you need to refer to the true count. We can get the real score by dividing the value of the running count by the number of decks remaining in the game.
- Step 4. Analyze if your true count rises or falls. Raise your bets as the true count rises. Otherwise, the win will go in favor of the casino.
Remember that the counting cards tactic works on a simple rule: if the score is positive, the probability of hitting large cards (and hence the mathematical expectation of the player winnings) increases; if it is negative, it decreases.
|Card Counting Guide by Steps
|Assign a value to a card
|Calculate the overall score of the cards you see on the table
|Find out the «true count» by dividing the running count by decks remaining
|Make your bets whether the count rises or falls
Is Card Counting Legal in Wild City Casino?
Wild City Casino is the place where you can play blackjack for free online. But sometimes, people wonder if it is legal to use card counting practice in an online casino. Formally, yes. But in the gambling world, using this tactic is cheating. You may get banned for it.
But the truth is that card counting as a tactic is helpless in online blackjack. The random number generator is set up so that drawing cards from the box they are in is a simple simulation.
The system mixes the decks after each hand. So there is a minimum chance for you to win in blackjack using the card counting tactic.
But, most online casinos with blackjack provide their gamblers an opportunity to play in a live casino with a real dealer. There are no computers, just real people, and card counting practice may apply here.
Can I Use This Tactic in a Real Casino?
As it was said previously, card counting is a kind of cheating. You can use this tactic in real casinos at your own risk. Using a card counting tactic in blackjack, you may break inner casino rules.
Advice on Using the Card Counting Tactic
Be careful using this strategy while playing blackjack. Even though it is not forbidden, card counting strategies are not recommended for use in many casinos, so casinos can kick you out and never let you play again.
Card counting demands not only knowledge but also intense practice. It may take years to master this strategy and become the best blackjack player. Also, don't be afraid to make mistakes because becoming a professional gambler without them is impossible.


How compounding can snowball your savings
Fsp Invest, 13 Sep. 2013
Tags: compounding, power of compounding, the effect of compounding on your savings, interest payment, savings
Compounding is a simple strategy in which you put your money in the bank and you receive interest. You don’t touch the money in the bank or the interest payments. Your interest earns a return too, giving higher interest payments. Let’s take a closer look at how compounding can snowball your savings…
Here's a mind-blowing example of the power of compounding, Tom Dyson explains in The Palm Street Letter…
An 18-year-old girl puts R2,000 into an account each year from the ages of 19 to 25. She then stops contributing and lets it compound at a rate of 10% until age 65. That means she has contributed only R14,000 in total. But because of compounding, by age 65, she's almost a millionaire. She has R944,641 in her account.
Now, let's say this girl has a twin brother. He's not as disciplined and continues to blow his money on useless things. Finally, at age 26, he realises he needs to start saving, too.
He puts R2,000 per year into his account starting at age 26. He also lets his money compound at a rate of 10% until age 65. Except he contributes R2,000 every single year from ages 26 to 65. That means he's contributed R80,000 in total. That’s’ more than five times what his sister has contributed.
By age 65, he's almost a millionaire, too, with R973,074 in his account.
Who's the compounding winner?
The sister contributed only R14,000 (R2,000 per year over seven years) and ended up with R944,641. That's a net gain of R930,641, or 66 times her original investment.
The brother contributed R80,000 (R2,000 per year over 40 years) and ended up with R973,074. That's a net gain of R893,704, or 11 times his original investment.
The sister was able to accomplish much better results with much less money. All because she realised the power of compounding money over long periods of time.
So there you have it, how compounding can snowball your savings.