In the following sections, these operators are covered in detail, in the same order in which they appear in the table above. A help file is provided for each distribution.
The program allows the user to repeatedly combine probabilities in series or in parallel, and at any time will show a trail of the calculations which led to the current probability value. What does this mean.
Negative binomial -- Also used to study accidents, is a more general case than the Poison, it considers that the probability of getting accidents if accidents clusters differently in subgroups of the population.
Those numbers sound like you should be able to spot them with, say, Hubble. Can be executed from a command-line environment, or from a graphical interface, or can either be called from your own Java code. A free Demo version with limited memory capacity is available. That is, it estimates the probability that a patient will suffer a specific morbid or mortal outcome in a given time interval.
DTREG generates classification and regression decision trees. IT -- data exploration software especially suited for multivariate data analysis visualizing up to 13 variables simultaneously using 3d models.
Evaluation Order for Other Expressions The order of evaluation for some expressions is not completely covered by these general rules, because these expressions may raise exceptional conditions at times that must be specified. Provides sophisticated methods in a friendly interface.
Supports several types of attribute and variable sampling and includes a random number generator and standard deviation calculator. Can also initiate an interactive quiz in which you can solve differentiation while the computer corrects your solutions.
In a two-category array the multinomial test provides a two-sided solution for the Binomial test. OpenStat -- is a general stats package for all Windows versions including Win 7 and Win 8 and for Linux systems under Winedeveloped by Bill Miller of Iowa State U, with a very broad range of data manipulation and analysis capabilities and an SPSS-like user interface.
In contrast, integer addition and multiplication are provably associative in the Java programming language. Designed for econometrics, but useful in many other disciplines as well. Graphic and tabular output is provided. Beside the exact procedures there are also various approximate procedures available.
ProtoGenie -- a free extensible web-based environment for research design and data collection for surveys, experiments, clinical trials, time series, cognitive and vision research, and methods courses. This is a stand-alone Windows 95 through XP program that receives information about dose-limiting toxicities DLTs observed at some starting dose, and calculates the doses to be administered next.
See also the commercial product, called Bayesware Discovereravailable free for non-commercial use. A day evaluation version is available for free download. The latest version also handles Mantel-Haenszel tests. Compumine Rule Discovery System -- easy to use data mining software for developing high-quality rule based prediction models, such as classification and regression trees, rule sets and ensemble models.
Because of a technique called "automatic semicolon insertion " ASIsome statements that are well formed when a newline is parsed will be considered complete as if a semicolon were inserted just prior to the newline. Adds a new menu item and installs many powerful functions: The free Version 12 Demo expires after 30 days.
C program to print the sum, product, difference, quotient and remainder of two integer numbers. Answer to Deitel C How to Program Chapter 2 exercise Free Programming Tutorials, Sample Programs, Free Source Codes, eBooks, Software Downloads and Latest Technology News.
15 Most Important Differences Between C And C++ C Program: Find out the Largest Number by using Ternary Operator: Write a C Program to Find the Average Marks obtained by a.
3. Interchange these two numbers if required. 4. Now run the loop from third element of the array to the last element. 5.
Scan element of the array, comparing array elements with first largest and second largest numbers, changing both or one if required. 6. Generally Swaping two number requires three variables, Let’s Take look at Procedure of swaping two Number For Swaping Two numbers following procedure is used – [crayoneacee08d/] Now we will Explaining above three statements using example.
/*create the program that accepts three numbers and identify the largest, middle and smallest number if the two or three numbers are equal the output will be the two.
1. Write a program to swap value of two variables without using third variable. solution 2. Write a program which input three numbers and display the largest number using ternary operator.Write a c program to find the largest of two numbers using ternary operator


2 edition of Seminars on analytic functions. found in the catalog.
Seminars on analytic functions.
Conference on Analytic Functions (1957 Institute for Advanced Study, Princeton, N.J.)
|LC Classifications||QA331 .C654 1957c|
|The Physical Object|
|LC Control Number||58062460|
This is an easygoing study/discussion group to go over some books on automorphic forms and L-functions. We started by reading D. Bump's Automorphic Forms and Representations, published by Cambridge University Press.A learning seminar for Spring and Fall was primarily run by Lawrence Vu whose seminar webpage is here. If you want to participate or be on the mailing list, please send an. Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokes-typeBrand: Springer International Publishing.
Introduction to Analytic Functions (Part 2) In the first part of this series I introduced you to the analytic functions family, outlined its close relationship to aggregate functions, and illustrated my points with a few examples. I demonstrated how, by clever use of the analytic function clauses – partition by, order by, and the windowing 5/5(6). Harmonic functions: conjugate functions, maximum principle, mean value property, Poisson integrals, Dirichlet problem for a disk, Harnack’s principle, Schwarz lemma and the hyperbolic metric. Compact families of analytic and harmonic functions: series and product developments, Hurwitz theorem, Mittag-Leffler theorem, infinite products.
A key step in our analysis is a relation between the centered and non-centered fractional maximal functions at the derivative level, which allows to exploit the known techniques in the non-centered case. This is joint work with José Madrid. Dominique Kemp. Decoupling for . The present note is a preliminary report on a study of structures of compact analytic surfaces. 1. LetVbe a compact analytic surface, i.e. a compact complex manifold of complex dimension 2. LetM(V) be the field of all meromorphic functions onVand denote by dimM(V) the degree of transcendency ofM(V) over the fieldCof all complex numbers. By a.
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Additional Physical Format: Online version: Conference on Analytic Functions ( Institute for Advanced Study, Princeton, N.J.). Seminars on analytic functions. Seminars on analytic functions. v Seminars on analytic functions. v - Full View | HathiTrust Digital Library | HathiTrust Digital Library Permanent link to this book Link to this page.
Embed this book. Version. UTC About the version. About this Book/Tools Sidebar. Analytic Functions Unknown Binding – January 1, See all formats and editions Hide other formats and editions. Enter your mobile number or email address below and we'll send you a link to download the free Kindle App.
Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device cturer: Hafner Publishing Co. In mathematics, an analytic function is a function that is locally given by a convergent power exist both real analytic functions and complex analytic functions, categories that are similar in some ways, but different in ons of each type are infinitely differentiable, but complex analytic functions exhibit properties that do not hold generally for real analytic functions.
Second Edition. This famous work is a textbook that emphasizes the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the "canonical" topics (including elliptic functions, entire and meromorphic functions, as well as conformal mapping, etc.) and other topics nearer the expanding frontier of analytic Cited by: 2 1 Analytic Functions x Re z y Im z r Θ z x y x Seminars on analytic functions.
book Figure Cartesian and polar representations of complex numbers. x Re z y Im z z 1 z 2 z 1 z 2 x 1 y 1 Figure Addition of complex numbers. Continuing this analogy, we also deﬁne the addition of complex numbers by addingFile Size: KB. Introduction to analytic functions.
Wilfred Kaplan. Addison-Wesley Pub. Co., - Mathematics - pages. 0 Reviews. From inside the book. What people are saying - Write a review. We haven't found any reviews in the usual places.
Contents. Complex Numbers. xi: Functions of a Complex Variable. Analytic functions compute an aggregate value based on a group of rows. They differ from aggregate functions in that they return multiple rows for each group. The group of rows is called a window and is defined by the analytic_clause.
For each row, a sliding window of rows is defined. The window determines the range of rows used to perform the. Analytic functions have been part of Oracle for a very long time now – ever since 8i back in Analytic functions are an ANSI/ISO standard, and so you’ll find that they are similarly-implemented across a number of compliant databases.
(This SQL Server article on “window functions” from sister site, Simple Talk, could very well have been talking about Oracle.)/5(38).
analytic_clause. Use OVER analytic_clause to indicate that the function operates on a query result set. This clause is computed after the FROM, WHERE, GROUP BY, and HAVING clauses. You can specify analytic functions with this clause in the select list or ORDER BY clause.
To filter the results of a query based on an analytic function, nest these functions within the parent query, and then. The purpose of this book is to give an exposition of the analytic theory of L- functions following the ideas of harmonic analysis inaugurated by Tate and Weil.
The central theme is the exploitation of the Local Langlands' Correspondence for. Our seminars go beyond continuing professional education credit. Learn about the characteristics and functions of the five traditional forms of P&C reinsurance, including their accounting and reporting requirements and financial statement impact.
Learn how to complete Schedule P of the Annual Statement and understand its analytic value. Complex analysis maintains a position of key importance in the study of physical phenomena. The importance of the theory of complex variables is seen particularly in quantum mechanics, for complex analysis is just a useful tool in classical mechanics but is central to the various peculiarities of.
(shelved 3 times as analytic-philosophy) avg rating — 15, ratings — published Want to Read saving. This is an introduction to the theory of analytic functions of one complex variable. Attention is given to the techniques of complex analysis as well as the theory.
It is highly recommended for math majors and also suitable for students in the physical sciences and engineering. The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.
The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the. Bounded Analytic Functions is widely regarded as a classic textbook used around the world to educate today's practioners in the field, and is the primary source for the experts.
It is beautifully written, but intentionally cannot be read as a : Springer-Verlag New York. Understanding Analytic Functions. Posted on Ap by Carlos. Analytic functions are functions that calculate aggregate values based on a group of rows, so they are similar to aggregate functions, but the difference is that as opposed to aggregate functions, analytic.
Bounded Analytic Functions is widely regarded as a classic textbook used around the world to educate today's practioners in the field, and is the primary source for the experts.
It is beautifully written, but intentionally cannot be read as a novel. The complete analytic function is the set of all germs, of the analytic function obtained from a given by analytic continuation along all paths in. Equality of two complete analytic functions and and operations on complete analytic functions are defined as equality of the germs and at.
ANALYTIC FUNCTIONS 3 Thecourse materialfollows closely (butnotcompletely) several chap-ters of the book ”Complex Variables with Applications” by A. David Wunsch, Addison–Wesley 1. Introduction The statemant sometimes made, that there exist only analytic functions in nature, is to my opinion absurd.
F. Klein, Lectures on Mathematics, Analytic Functions of a Complex Variable 1 Deﬁnitions and Theorems Deﬁnition 1 A function f(z) is said to be analytic in a region R of the complex plane if f(z) has a derivative at each point of R and if f(z) is single valued.
Deﬁnition 2 A function f(z) is said .The idea for this book came when I was an assistant at the Department of Mathe-matics and Computer Science at the Philipps-University Marburg, Germany.
Sev-eral times I faced the task of supporting lectures and seminars on complex analysis of several variables and found out that there are very few books on the subject.


Due to the snow, we are not going to have school on Tuesday January 26th. The quarterly exams are going to change again for some classes.
(Period 1) Algebra II- Part 2 Jan. 28
(Period 2) Algebra II - Part 1 Jan. 29 and Part 2 Feb. 1
(Period 4) Algebra 8 AT- Jan. 28 and Feb. 2
(Period 5) Algebra II- Jan. 29 and Feb. 3
(Period 7) Geometry- Project due Jan. 29
Any other assignments that you missed are due on Feb. 1st.
Email me if you have any questions.


While it may seem like a frivolous calculation that you’ll never actually need (like most of geometry class), knowing how to calculate your pool’s surface area and volume can be invaluable when making decisions like how much pH adjuster to add, or what balance of chemicals your pool will need. Here’s how to do this seemingly difficult math problem easily.
Calculating Surface Area
Normally, you’ll only need to know how many gallons of water are in your swimming pool. But you can’t go straight to that calculation. First, you need to calculate the surface area of your pool. And while volume may seem daunting, surface area is easily calculated, especially if you have a rectangular pool. If you do, simply measure the width of your pool, then multiply by the length of the pool (make sure you stick to the same units, trying to switch between inches and centimeters has made some of the world’s smartest people make some dumb mistakes). This will give you the surface area.
Surface Area Of Non Rectangular Pools
However, many pools are not rectangular, and if yours isn’t, you’re likely still scratching your head as to just how big your pool is. If your pool follows a general geometric shape-a triangle, a pentagon, etc-then you can use the mathematical formulas for finding the surface areas of those shapes to find your pool’s surface area. But what if your pool is L-shaped, or rounded, or has some other odd shape?
If you can find a way to break up your pool into smaller rectangles or other geometric shapes, do so. This will allow you to take the surface area of each smaller piece and add it together. For example if you had an arrow-shaped swimming pool whose surface area you wanted to calculate, you’d first take the area of the rectangle behind the head of the arrow, then divide the width of the triangle by its height to get its area. These two together are the surface area of your pool.
Calculating Average Depth
Next, you’ll want to take your average depth. There’s a few schools of thought on this, but of course, the general rule applies, and the more in-depth and precise you are in your calculations, the more accurate your numbers will be.
You can simply take the deepest and shallowest depths in your pool and add them together then divide by two. This will give you a constant number that represents the ‘average’ depth of your pool. Or, you can measure the flat area in the shallow and deep ends of the pool, and then take the area of the slanted region, and find the slope. This is a much more involved approach, and should only be used if you really enjoy trigonometry or your calculations have to be perfect (if you need the pool for medical reasons, for example).
Once you’ve found your average depth, multiply this by the surface area of the pool. Your answer will come out in cubic feet or meters, but it is not the final answer! Remember that you still have to convert cubic feet or meters into gallons or litres, to properly adjust your chemicals as needed.
In general, there are about 7.5 gallons of water in 1 cubic foot. The Metric system makes things much easier, as you can simply use the conversion that 1 cubic meter of water is 1000 liters of water, so your calculations will be done at this point.
You can use the surface area and volume of your pool to make many decisions about its future. Maintaining a larger pool costs more money, for example. If you choose to renovate your pool, you might decide to enlarge it to reflect your rising quality of life, or you might decide to make it smaller to accommodate more yard space. Either way, your properly maintained pool will be a source of joy and pride for as long as you have it.
Warren Isaac is an expert on pool area and volume calculations. As a swimming pool repairer Warren always gets asked “how do I calculate my pool volume?“


Aims & Objectives
Mathematics helps us to make sense of the world around us by developing pupils’ ability to calculate, to reason and to solve problems. It enables pupils to understand and appreciate relationships and patterns in both number and space in their everyday lives. It will give them the ability to cope confidently with the mathematical demands of further education, employment and adult life.
With this in mind it is the aim ideally for all pupils when they leave Wilds Lodge to have some knowledge and understanding of the following, although it is probable that for some this will not be wholly achievable:
- Read numbers correctly form a range of meters, dials and scales
- be able to work out answers mentally
- Make sense of number problems, recognise the operation(s) needed and are able to work confidently with numbers
- Are able to manipulate algebraic expressions and simple formulae
- Understand and use correct mathematical notation and terminology
- Use units of measurements of length, angle, mass, capacity and time; can suggest suitable units for measuring, make sensible estimates of measurements and measure accurately using a range of instruments
- Draw plane figures to given specifications and appreciate the concept of scale in geometrical drawings and maps
- Collect data, discrete and continuous and draw, interpret and predict from graphs, diagrams, charts and tables
- Have a sense of the size of a number and where it fits into the number system
- Know basic number facts and recall them quickly and confidently
- Use calculators and other ICT resources appropriately and effectively to solve mathematical problems
- Know when answers are reasonable and give results to an appropriate degree of accuracy
- Are able to explain methods, reasoning and conclusions
- Understand and use compound measures and rates
- Use simple formulae and substitute numbers in them
- Measure and estimate measurements, choosing suitable units and calculate simple perimeters, areas and volumes
- Understand the difference between the mean, median and mode and the purpose for which each is used
- Understand the probability and risk
It is the policy of Wilds Lodge School To
- Recognise that literacy problems and poor organisational skills often necessitate different approaches (a major factor at Wilds Lodge)
- Develop and emphasise correct usage of Maths vocabulary and to encourage explanations of methods of calculations
- Fill gaps in working knowledge (many, if not all students at Wilds Lodge suffer from huge gaps in knowledge largely due to having missed long periods of schooling)
- Provide for breadth as well as depth of experience
- Use practical apparatus where appropriate throughout the learning experience
- Reinforce and revisit topics frequently
- To ensure all pupils are given the opportunity to achieve their potential and show maximum progress
- Assess each pupil’s level of achievement using testing, teacher assessment and classroom monitor (see below)
The aims of Mathematics are to
- Promote enjoyment and enthusiasm for learning through practical activity, exploration and discussion.
- Promote confidence and competence with numbers and the number system.
- Develop the ability to solve problems through decision-making and reasoning in a range of contexts.
- Develop a practical understanding of the ways in which information is gathered and presented.
- Explore features of shape and space, and develop measuring skills in a range of contexts.
- Appreciate and understand the importance of mathematics in everyday life.
Key STage 2 & 3
Maths lessons are based on the Numeracy Framework. The planning covers all the areas as laid down in the Numeracy Framework, the work being adapted each year to suit the particular needs and abilities of those students. Wilds Lodge uses a wide variety of teaching resources with much use being made of interactive whiteboards. During lessons pupils are encouraged to ask as well as answer mathematical questions. They have the opportunity to use a wide range of resources and are encouraged to use and apply their learning in everyday situations.
In all classes there are children of differing mathematical ability. We recognise this fact and provide suitable learning opportunities for all pupils by matching the challenge of the task to the ability of the pupil. This is achieved through a range of strategies – in some lessons through differentiated group work, and in other lessons by organising the pupils to work in pairs on open-ended problems or games. Classroom assistants are used to support children as required and to ensure that the work is matched to the needs of individuals.
Key stage 4 & 5
The assessment at the end of Keystage 3 is used to support grouping decisions at the start of Keystage 4, with pupils being grouped according to ability. One group will follow the GCSE syllabus, and it is usual for this entire group to achieve a GCSE. The other group being split between GCSE and Entry Level and it is envisaged that some will achieve a GCSE and the others an Entry Level qualification, the majority of these at level 3, the highest available.
At Keystage 5 the students will follow either the Maths Functional Skills course, which is at three levels; Entry Level, Level 1 and Level 2 or follow the GCSE course.
In Keystages 4 and 5 pupils use their knowledge and skills of mathematics and use and apply them as part of their PSHE lessons, ASDAN courses as well as Life Skills.


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Editorials News | Jan-07-2019
Mathematics is a methodical presentation of the matter. The subject makes a man more methodical and systematic, mathematics makes our life orderly and prevents chaos. Certain qualities that you are nurtured while studying mathematics like creativity, reasoning, abstract or spatial thinking, critical thinking, and problem-solving, and even effective communication skills.
Mathematics is the mother of all creations, without mathematics world cannot move an inch. Be it farmer, doctor, engineer, scientist, musician, or magician use mathematics in day to day life. Insects also use mathematics for their existence. Many insects like snails, spiders, and bees build hexagonal combs. There are countless examples of mathematical patterns in nature’s fabric. A good curriculum of mathematics is helpful in teaching and learning the subject.
Experts say that if mathematics is included in your curriculum, you can make your life more easy and enjoyable. Maths puzzles and riddles encourage many youngsters and help them to build their thinking.
If a teacher is failed to teach the understanding of mathematics then phobia will be created in the child's mind till the higher classes for explaining the mathematics. The teacher should take examples while teaching mathematics through sketches, diagrams, and models as far as possible. The open-ended questions should be given to the students to answer the question in all possible ways. The child should be appreciated for every attempt they make. Mistakes should be corrected by the teacher without any criticism.
Hurdles in the Process of Mathematics
The greatest hurdle in the process of mathematics is through lack of practice. Students should do daily work out by solving problems at least 10 problems a day just to get the grip on the accuracy and speed duration in solving the problems. Learning multiplication tables should be introduced in lower classes. There is another way for effective learning of mathematics is through peer teaching. Once the students have learned from the teacher and they ask him to teach the same to his fellow mates. If there is a doubt about the problem, that problem should be solved through discussion in a group.
The one of the skill development and innovation, the more mathematics we are in our approach the more successful we will be. Mathematics provides rationality to our thoughts. It is a tool of our hand that makes us easier and simpler. Now let’s see what is most useful about mathematics for humankind.
It might seem like math problems have no real use in life. But the importance of maths in everyday life is huge as we use mathematical concepts and skills every day. Mathematics laws govern everything around us, and without understanding them we can face difficulties in life.
Here Are A Few Reasons How Useful Is Mathematics To Humankind.
- Learning math is good for the brain
According to the research conducted by Stanford University children knowing math can employ certain brain regions more reliably than those who perform poorly in math. The brain regions involved in higher math skills are associated with various tasks such as visual attention and decision-making.
- Math helps you tell time
When you know math and fractions this can help you better tell time. Analog clocks might eventually are becoming outdated, but don’t let your ability to tell the time to become outdated.
- Math helps you with your finances
With math, you can balance your budget because you will have an understanding of your expenditure are less than the money you have. Balancing a bank account is an important life skill that requires math. People knowing math are less likely to go into debt.
- Math makes you a better cook
With the help of math, you can quickly assume that a half-cup of flour is the same as eight tablespoons of flour. This skill would be handy if you find that your half-cup measure is missing. Same way, cooking from a recipe serving four people, to cook for eight people, math skills are required to double all of the ingredients.
- Math helps us have better problem-solving skills
With math, we can think analytically and have better reasoning abilities. Analytical thinking means the ability to think critically. Reasoning is the ability to think logically. Analytical and reasoning skills are essential as they help us solve problems.
- Practically every career uses math
While operating a cash register you must have to understand basic arithmetic. People working in a factory have to do mental arithmetic to keep track of the parts on the assembly line. Any job requires math because you must know how to understand your paycheck and balance your budget.
- Math is all around us
We live in a mathematically-driven world and not knowing math is like walking through an art museum with closed eyes. Learning math can help you appreciate things; math is everywhere also in nature. As you can see bees are masters of geometry and use hexagons to build their honeycombs. The Fibonacci sequence, a famous sequence of numbers found throughout nature: in pinecones, seashells, trees, and leaves.
- Math can help you shop for a good sale
Your math skills can help you shop with the knowledge of percentages and how to calculate them quickly by this you save time while shopping at a sale– for example, you can quickly calculate a discounted price, or determine whether you have been correctly charged while paying for a shirt. Thus, the importance of mathematics in society is huge.
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shown below are the calculations for generating a cartesian X and Y coordinate system based upon a "direction" measured in degrees from 1 to 360 and a "speed" measured in wind speed. The result is a powerful mechanism to display wind charts which can be combined with time series or other analysis types, and in general can leverage the rest of the Tableau features.
You only need to know the direction (in degrees) and the wind speed.
The excel file which this book is connected to contains 100% ficticious data. No Wind Farm Corporations were harmed in the making of this workbook.
The X calculation for showing "east west" is:
And the Y calculation for "north south" is:


Today we took a river cruise on the Thames, and under the Tower Bridge, to Greenwhic in Greater London. After a quick jaunt through the Maritime Museum, we went up to the Royal Observatory to stand on the Prime meridan, the line of latitude that divides the western and eastern hemispheres. The Greenwhich time also provides the GMT (or Greenwhich Mean Time) for the U.K. In the Museum we did some research about the history of the trouble of cartographers comming up with a way to determine latitude and longitude. Eratosthenes (ca. 275-194 B.C.) devised a system similar to meridians and parallels, but Hipparchus (ca. 190-126 B.C.) related astronomical measurements to the determination of climata, or latitudinal positions. He was the first to use a formalized system of longitude and latitude in which the meridian and parallel circles were each divided into 360 degrees, each degree into 60 minutes, and each minute into 60 seconds. I did not realize the history was so extensive, and this is just a tibit, of a system we take advantage of today.


Statistics may be defined as science of collection, presentation, analysis and interpretation of quantitative data. We also have essays on sale that will help you in your assignments if you do not want your paper written from scratch by our writers. We also have a money-back policy if you are not satisfied with the paper or if it does not conform to your instructions. We can assure you to provide best assignments help for your homework in maths.
In the previous article we explored multiple area of maths assignment help online. Why Students Seek, maths, assignment, help Accounting assignment help Australia offers plagiarism free precisely written assignments. With the advent of the internet and related apps, the scope of applied maths and its implementation has increased in an exponential.
Moreover, students feel lost if their homework is beyond their understanding. Math involves solving lot of problems and working out on many different kind of problems. Our writers deliver assignments quickly, often within 3 to 6 hours. Also, they fear that the company will not respond to their communications on time, especially if they face a tight deadline. Major colleges of Ireland like University of Dublin and Trinity College Ireland are well known for assigning such assignments to the students. Each paper goes through a rigorous editing and proofing process by in-house editors and quality assurance teams. Along with this we can help students with Measurement of central tendency, calculation of dispersion, regression and correlation, theoretical distribution, sampling etc. Please send us an email to or submit an enquiry form on our website. So go to the website m and take professional help for maths assignments. This could be checked through the reviews of students about the services of Students Assignment Help. You are definitely going to have good assignments score by taking our help.
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We offer a range of English and Math’s courses for Adults, ranging from entry level Functional Skills through to GCSE resits.
Adult GCSEs (English Language and Maths)
We offer English Language and Mathematics GCSE intensive resit programmes over 32 weeks to adults over the age of 19. These are part-time courses consisting of one 3 hour session per week with a subject specialist tutor, and learners can undertake both GCSE Maths and English at the same time.
If you are under the age of 19, GCSE English and Maths can form part of your full-time study programme.
Functional Skills Development in English, Maths and ICT
Our Adult Learning Shops offer Functional Skills courses in English and Maths for adult (19+) learners. The programmes offer a range of learning opportunities; English and Mathematics courses ranging from Entry Level to Level 2 qualifications. All our courses lead to nationally recognised qualifications. Courses are tailored so you can learn at your own pace, build confidence, aid career development or to help you get back into work.
You will work independently online in our Learning Shops with teachers on hand to support you along the way. If you wish you can continue to work independently from home to gain your qualifications more quickly.
- City & Guilds Certificate in English or Mathematics Entry Level 3 & Level 1
- City & Guilds Functional Skills Certificate in English or Mathematics Level 1 & 2
Functional Skills in English and maths are practical skills that allow learners to work confidently, effectively and independently in life, including education and training. They aim to increase achievement in all learning, improve employability and provide a sound basis for progression to further study or training. They also help develop other important skills such as team work, presentation and problem solving. Functional Skills are common to all our lives.
They help make sense of daily life, from working out which deal is best value, to writing an application letter or surfing the Internet. They are about using English, maths and ICT in everyday situations.
They are essential for:
- Getting the most from education and training
- Personal development of all young people and adults
- Developing employability skills
The Learning Shops
Would you like to do something different or try something new? The Learning Shop can help you find the course you’re looking for. We have Learning Shops in Braintree, Clacton, Colchester, Dovercourt and Witham offering a range of flexible learning programmes to learners aged 18 or over. Find out more about our adult learning shops.


Chair of Statistics and Econometrics
Ingo Klein (born in 1953) studied Economics with a focus on statistics and mathematics at the University of Kiel. In 1979, he became a research associate at the university’s Department of Statistics and Econometrics, where he received his doctoral degree. From 1986 to 1987, Ingo Klein was head of the Department of Statistics at the Institute of Demoscopy in Allensbach. He then worked as a research associate at the Institute of Business Cycle Research at ETH Zurich, Switzerland, from 1987 to 1989 and as a senior research fellow for mathematics at the University of Kiel from 1989 to 1993. He completed his habilitation in statistics and econometrics and was appointed as a Privatdozent in 1993. Professor Klein has been Chair of Statistics and Econometrics at the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) since 1994. He has served on the Scientific Advisory Council of the Institute of Employment Research in Nuremberg and as a member of the review board for economics and business administration at the DFG. He was dean of the School of Business and Economics from 2005 to 2007.
His research focuses on fundamental questions of measurement theory and statistics, as well as robust and non-parametric statistical methods with applications for financial and market research data.


Why Must I Learn Math?
by Mark Karadimos (e-mail)
TABLE OF CONTENTS
What is this essay about?
What is math?
How can math help me solve problems?
What do all problems have in common?
What does problem solving have to do with math in school?
Who commonly uses math?
Which professions use math?
How can I get a good job without learning a lot of math?
What are employers looking for?
After high school, what do I do to learn more math?
What is this essay about?Every subject contains information necessary to become a knowledgeable and functional member of our society. As we become more technologically dependent, technical reasoning is needed for survival. Mathematics is no longer just a subject taken by the elite. Now it has rightfully become a staple in our educational systems even though it is not appreciated by many people until it is needed. I decided to write this essay to help people become open to learning math by understanding what math is all about. [Hidden Agenda: Since I am a high school math teacher, this essay allows me to spend more time teaching mathematical techniques instead of talking about this during class.]
What is math?Those who do not appreciate math are those who do not understand what math is all about. That is why the nature of math desperately needs to be explained. Simply put, math is about solving problems.
How can math help me solve problems?Ever since there were humans in existence, there have been problems to solve. Whether the problems were over basic requirements like sustaining sufficient amounts of food or major accomplishments like constructing multifunctional homes, problems such as these remain with us to this day. The peculiar thing about problems is that they all have similar properties.
What do all problems have in common?Successful problem solvers are able to understand what is expected of the problems they face. In other words, they know all of the details surrounding the problem at hand, which is the most important step to solving problems. It requires an attention to detail and therefore patience. After examining the details, intelligent choices need to be made as well as the beginning steps of developing a strategy. The plan must be carried out in an order that makes sense. So careful planning, possibly by justifiable experimentation, must take place. Once an actual solution is obtained, it must be tested to determine whether or not it is reasonable.
What does problem solving have to do with math in school?Every math problem that gets discussed, handled, and assigned forces us to use many, if not all, of the detailed methods of problem solving. Each individual problem becomes a small but important lesson for solving problems in general. Math is traditionally learned by first doing many smaller problems. Then the small problems are put together to solve bigger problems. For instance, in order to solve algebraic equations, being knowledgeable about addition, subtraction, multiplication, and division is a must. Ordering the steps to be carried out, evaluating expressions, and learning how and when equations are used must be learned, too.
Who commonly uses math?Everybody uses math whether they realize it or not. Shoppers use math to calculate change, tax, and sales prices. Cooks use math to modify the amount a recipe will make. Vacationers use math to find time of arrivals and departures to plan their trips. Even homeowners use math to determine the cost of materials when doing projects.
Which professions use math?Here is a small list of math orientated careers:
Accountants assist businesses by working on their taxes and planning for upcoming years. They work with tax codes and forms, use formulas for measuring interest, and spend a considerable amount of energy organizing paperwork.
Agriculturists determine the proper amounts of fertilizers, pesticides, and water to produce bountiful foods. They must be familiar with mixture problems.
Architects design buildings for structural integrity and beauty. They must know how to calculate loads for finding acceptable materials in design.
Biologists study nature to act in concert with it since we are so closely tied to nature. They use proportions to count animals as well as use statistics/probability.
Chemists find ways to use chemicals to assist us which entails purifying water, dealing with waste management, researching superconductors, analyzing crime scenes, making food products, ...
Computer Programmers create complicated sets of instructions called programs/software to help us use computers to solve problems. They must have strong logic skills.
Engineers (Chemical, Civil, Electrical, Industrial, Material) build products/structures/systems like automobiles, buildings, computers, machines, and planes, to name just a few examples. They cannot escape the frequent use of calculus!
Geologists use mathematical models to find oil and study earthquakes.
Lawyers argue cases using complicated lines of reason. That skill is nurtured by high level math courses. The also spend a lot of time researching cases.
Managers maintain schedules, regulate worker performance, and analyze productivity.
Medical Doctors must understand the dynamic systems of the human body. They research illnesses, carefully administer the proper amounts of medicine, read charts/tables, and organize their workload.
Meteorologists forecast the weather for agriculturists, pilots, vacationers, and those who are marine dependent.
Military Personnel carry out a variety of tasks ranging from aircraft maintenance to following detailed procedures.
Nurses carry out the detailed instructions doctors give them. They adjust intravenous drip rates, take vitals, dispense medicine, and even assist in operations, .
Politicians help solve the social problems of our time by making complicated decisions.
Technicians repair and maintain the technical gadgets we depend on like computers, TV's, VCR's, cars, refrigerators, ... They are always reading measuring devices, referring to manuals, and diagnosing system problems.
Tradesmen (carpenters, electricians, mechanics, and plumbers) estimate job costs and use technical math skills specific to their field. They deal with slopes, areas, volumes, distances and must have an excellent foundation in math.
Can I get a good job without learning a lot of math?In all honesty, anything is possible. However, less and less labor intensive jobs are available. Workers in those fields are being replaced by machinery and robotics. Even when those jobs are available, the pay is usually substandard. In order to gain successful employment, technical skills must be learned. Someone has to fix all of those machines and robots.
What are employers looking for?Employers are looking for three basic traits. They want their employees to be able to reason, work with technical equipment, and communicate their thoughts with other employees. It is clear that math deals with developing reason and working with technical equipment. It is not so clear how math affects communication. Successfully using math can improve the ability to speak and write more clearly. Language, at least the type needed for work, tends to be extremely structured and mathematical ability helps deal with that structure.
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University of Calgary, Canada.Received Date: 2022-06-15 | Accepted Date: 2022-06-23 | Published Date: 2022-06-30
Neuroinformatics is a trans-disciplinary field that studies the neurological models and neural representations of internal information in the brain by Neuro-computing methodologies and denotational mathematics. It investigates neural information transmission, processing, memorization, retrieval, fusion and their engineering applications in cognitive systems, brain-inspired systems, cognitive computing and computational intelligence. There were different perceptions on whether neural signals of human nerves systems are digital (discrete) or analogue (continuous). The latest neural signaling theory known as Spike Frequency Modulation (SFM) explains that the mathematical model of neural signal transformations is unified in the form of SFM as digital signals, which is supported by both experimental data and empirical observations in neurology, neurophysiology and brain science. The SFM theory provides a formal explanation of the time-divided signaling mechanism for internal information transformation and the space-divided signaling pathways for semantics representations in the central/peripheral neural systems. It reveals the neurological foundation of higher level cognitive processes of the brain such as those of sensing, perception, action, knowledge expression, thinking, learning, problem solving and decision making. It is recognized that although the external detections of neural signals in brain-machine interfaces are analogue, they are merely a demodulation (DS-FM) of internal spike signals as an effect of the integration of the discrete time series or the sum of a set of Fourier components in the time domain.


The Fibonacci Quarterly has an editorial board of nineteen members and is overseen by the nine-member board of directors of The Fibonacci Association. The journal includes research articles, expository articles, Elementary Problems and Solutions, Advanced Problems and Solutions, and announcements of interest to members of The Fibonacci Association. Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study.
In  5 the Fibonacci number fG of a simple graph G is introduced as the total number of all Fibonacci subsets S of the vertex set VG of G9 where a Fibonacci subset S is a possibly empty subset of VG such that any two vertices of S are not adjacent. In Graph Theory [6, p 257] a Fibonacci subset is called an independent set of vertices. The set of journals have been ranked according to their SJR and divided into four equal groups, four quartiles. Q1 green comprises the quarter of the journals with the highest values, Q2 yellow the second highest values, Q3 orange the third highest values and Q4 red the lowest values.
The Fibonacci quarterly. [Fibonacci Association.;] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create lists, bibliographies and reviews: or Search WorldCat. Find items in. Search Tips. Phrase Searching You can use double quotes to search for a series of words in a particular order. For example, "World war II" with quotes will give more precise results than World war II.
FIBQ - Fibonacci Quarterly. Looking for abbreviations of FIBQ? It is Fibonacci Quarterly. Fibonacci Quarterly listed as FIBQ. Fibonacci Quarterly - How is Fibonacci Quarterly abbreviated?. Fibonacci Quarterly; Fibonacci Quasicrystals; Fibonacci sequence; Fibonacci sequence; Fibonacci series; Fibonacci series; Fibonacci series; Fibonacci. Fibonacci and Lucas Numbers of the Forms w 2 - 1, w 31 369 Full text. Michael D. Hirschhorn The Andrews Formula for Fibonacci Numbers 373 Full text. J. H. Clarke & A. G. Shannon Some Constraints on Fermat's Last Theorem 375 Full text. Edited by A. P. Hillman.
Get this from a library! The fibonacci quarterly. Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. La revue Fibonacci Quarterly s'intéresse aux suites des nombres de Fibonacci et au domaine des mathématiques en général. Publiée dès 1963 par The Fibonacci Association, ses premiers éditeurs furent Verner Emil Hoggatt, Jr. en et Alfred Brousseau en.
The Fibonacci Association, incorporated in 1963, focuses on Fibonacci numbers and related mathematics, emphasizing new results, research proposals, challenging problems,. The Fibonacci Quarterly is a scientific journal on mathematical topics related to the Fibonacci numbers, published four times per year. Many articles in The Fibonacci Quarterly deal directly with topics that are very closely related to Fibonacci numbers, such as Lucas numbers, the golden ratio, Zeckendorf representations, Binet forms, Fibonacci. Fibonacci numbers -- Periodicals. Notes: "The official journal of the Fibonacci Association." Local notes: Acquired for the Penn Libraries with assistance from the Benjamin Franklin Library Fund. Contributor: Fibonacci Association. Benjamin Franklin Library Fund. ISSN: 0015-0517 OCLC: 1569137 Web link: The Benjamin Franklin Library Fund Home Page. Besides, 25% scientific research articles published by Fibonacci Quarterly have received at least 1 citation in 2018. In addition to the 2-year Impact Factor, the 3-year Impact Factor and 5-year Impact Factor can provide further insights into the impact of Fibonacci Quarterly. MIAR recolecta datos para la identificación y análisis de revistas científicas. Si se introduce en la casilla de búsqueda cualquier ISSN el sistema localizará en qué bases de datos de las contempladas en la matriz está indizada la revista, esté recogida o no en MIAR, y calculará su ICDS sin contar el Índice de Pervivencia si no forma.
A Fibonacci-Related Series in an Aspect of Information Retrieval 495 Full text. Letter to the Editor 500 Full text. Edited by Raymond E. Whitney Advanced Problems and Solutions 501 Full text. Dale D. Shea On the Number of Divisions Needed in Finding the Greatest Common Divisor 508. Bruce M. Boman, Yihan Ye, Keith Decker, Christopher Raymond, and Gilberto Schleiniger Geometric Branching Patterns based on p-Fibonacci Sequences: Self-similarity Across Different Degrees of Branching and Multiple Dimensions.
On the Use of Fibonacci Recurrence Relations in the Design of Long Wavelength Filters and Interferometers 1 Full text. Michael Creutz & R. M. Sternheimer On the Convergence of Iterated Exponentiation -- III 7 Full text. Steve Ligh & Pat Jones Generalized Fermat and Mersenne Numbers. Index of the Fibonacci Quarterly, prepared by Dr. Charles K. Cook of the University of South Carolina at Sumter. This index contains all materials of the Fibonacci Quarterly, Volumes 1 - 48.2 1963 - 2010, Proceedings of the International Conferences, Volumes 1 - 13, and "A collection of manuscripts related to the Fibonacci sequence". the fibonacci quarterly Download the fibonacci quarterly or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get the fibonacci quarterly book now. This site is like a library, Use search box in the widget to get ebook that you want.
HURWITZ'S THEOREM AND THE CONTINUED FRACTION WITH CONSTANT TERMS Graham Winley, Keith Tognetti, and Tony van Ravenstein University of Wollongong, P.O. Box 1144, Wollongong, N.S.W. 2500, Australia Submitted September 1987. Convolutions of Fibonacci-Type Polynomials of Order K and the Negative Binomial Distributions of the Same Order 209 Full text. Y. H. Harris Kwong Minimum Periods of Sn,k Modulo M 217 Full text. François Dubeau On r-Generalized Fibonacci Numbers 221 Full text. John C. Turner Note on. Fibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official. Guglielmo directed a trading post in Bugia, Algeria. Fibonacci travelled with him as a young boy, and it was in Bugia that he learned about the Hindu–Arabic numeral system. Fibonacci Quarterly. Quite the same Wikipedia. Just better. Square Fibonacci Numbers, Etc. JOHN H. E. COHN Bedford College, University of London, London, N.W.1. INTRODUCTION An old conjecture about Fibonacci numbers is that 0, 1.
Full text - The Fibonacci Quarterly. Recommend Documents. No documents. Full text - The Fibonacci Quarterly. Download PDF. 4 downloads 5 Views 1MB Size Report. Comment.
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|Abstract:Aiming at the shortcomings of traditional slope stability prediction model, a support vector machine model (GS-PSO-SVM) based on grid search and particle swarm optimization is proposed. In order to solve the problem of parameter selection of support vector machine, the grid search method is used to roughly optimize the parameter range, and then the particle swarm optimization is used. Using this model to predict the slope example, 30 of the 39 sample samples are training samples, and the remaining 9 are used as prediction samples, with rock gravity, cohesion, internal friction angle, slope angle, slope height, and porosity. The influence factors of the six slope stability of water pressure are taken as input, the slope stability state is taken as the output, and the prediction result is compared with the separate grid search method, particle swarm optimization algorithm and genetic algorithm optimization support vector machine model. The results show that the classification accuracy of GS-PSO-SVM model is 100%, and it has better prediction accuracy and higher prediction efficiency. The model can effectively predict the slope stability state.


I was talking to a colleague the other day who told me about a conversation they just had with a customer. The customer had asked “Why can’t I create pie charts in Funnel?” and my colleague’s response, jokingly, was “Our product team really doesn’t like pie charts”. While it’s true most of us are no huge fans of pie charts, the reason we haven’t invested in supporting a pie charting option is because we believe they are rarely a good fit for the problem they’re intended to solve.
The pie chart (or pie graph) is one example of a visualization choice where I’d argue there's almost always an alternative that displays the data more clearly. This topic has been covered extensively by Stephen Few (among others) and if you’re interested in the topic I strongly recommend taking a closer look at his work.
This post will run through a couple of different common practices for visualizing data and show that there are better alternatives. To a large extent it draws on inspiration from Mr Few.
A better option to pie charts
Pie charts are typically used to tell a story about the parts-to-whole aspect of a set of data. That is, how big part A is in relation to part B, C, and so on. The problem with pie charts is that they force us to compare areas (or angles), which is pretty hard.
Are Tigers more popular than Lions? How much more popular are Zebras than Giraffes?
The problem with pie charts
Looking at the pie chart above, it’s not obvious how the different slices stack up in terms of size. You can, of course, find out by doing the math yourself, looking at the slices’ values. However, a chart meant to visualize size differences that forces you to do math to figure out size differences is not much better than a table, although it’s prettier.
A better option for visualizing the parts-to-whole relations of a data set is the bar chart. This is because it lets us compare the different objects by their length, which is one dimensional. Comparing objects along one dimension is a lot easier than along two, which makes comparing the length of bars a lot easier than the areas of pie slices.
Tigers are more popular than Lions! Zebras are twice as popular as Giraffes!
The one thing pie charts do well is to tell the story that what you’re looking at makes up part of a whole, signified by all the slices adding up to a complete circle. That is probably about it, though. And yes, of course, they're pretty.
When is it not appropriate to use pie charts?
In short, it is not appropriate to use pie charts when you have more than 5 'pie slices'. Also, try to avoid using pie charts when you are not talking about percentages. If the pie chart shows something that adds up to 100%, you might use it. But it still is not your best option, as explained above.
Showing change over time? Line chart!
It’s tempting to use column charts when visualizing a time series. I’m guessing that’s often due to the same reason as our propensity to use pie charts: it’s quite pretty. Provided we’re prioritizing ease of interpretation over aesthetics, however, it’s not the best option.
The two charts above are showing the exact same data. While the column chart isn’t as bad for time series as the pie chart is for comparing parts of a whole, the line chart is the better option as it provides more help to our eyes when we try to figure out how a value is developing over time.
The actual data really is just a collection of data points with time stamps to them; dots, if you will. The line chart helps us connect those dots, making a story emerge quite clearly. The column chart doesn’t really connect the dots and tends to have us focus on comparing individual columns, which is typically not the goal of showing a time series.
Now, while pie charts are rarely the right solution for any problem, that’s not true for column charts. They happen to be great at visualizing the relative difference between a few different items:
Try using a ratio instead
Not as common as using pies for parts-to-whole or columns for time series, but still a usual suspect, is the double y-axis trap. Double y-axes cause problems as we’re tempted to compare things that don’t really allow comparison. As an example let’s take the metrics Orders and Marketing cost.
Say your orders keep increasing steadily and your marketing cost is somewhat stable. Depending on how you set the scale on the two axes, your chart will tell very different stories:
What’s going on at the intersection of the two lines? Oh, nothing. It was just a function of the scales of the y-axes.
The two charts above are showing exactly the same data but with different scales for the Marketing cost axis (the right axis). When there are two intersecting lines in a chart we tend to be drawn to the part of the chart where the lines cross each other. That is, in April for the left chart and in August for the right one. However, where the intersection happens is completely arbitrary and depends entirely on how I set the scales.
If we’re interested in the relation of these two metrics, plotting the ratio between the two is a better option:
Aha, the cost per order is continuously declining!
Although these examples are by no means all the mistakes that are easy to make when visualizing data, they are some of the most common. If you think I’ve missed something, or if you don’t agree please let me know in the comments!
PS. You can read more about bad visualization habits in our recent blogpost: What are Misleading Visualizations and how to avoid using them.


Little Lessons Themed Curriculum (Bundle) Finances Unit (Digital Only)
Little Lessons Themed Curriculum (Bundle) Finances Unit (Digital Only) – Link will be provided within 48 hours of payment notification)
This Finance unit covers an innovative two-week overview on counting, spending and budgeting money for children in grades 2nd – 4th. The bundle includes a three-part series of lesson plans, lesson guides and lesson activities that align with California State standards, as well as assessment activities and additional related resources.
The series Introduces grade level lessons in math and finance; including addition and subtraction calculations that teach children how to count combinations of coins and bills, and early concepts and disciplines of budgeting and saving, as well as goal setting.
Lessons plans involve reading and writing assignments, mathematics, sorting and problem solving. Lesson activities are easy to follow and modifiable. Children receive early critical training in financial literacy, preparing them with skills for real world


Gauthmath–Powerful Calculator review
Have you ever came across an impossible math word problem and you need help with math homework? Gauthmath provides math help for all levels of math problems. Gauthmath is a powerful math calculator with no cost, so you can solve math word problems like a piece of cake! Gauthmath has thousands of math helpers and math solution experts who can answer your math questions instantly. Gauthmath is your dedicated math homework help app. It's an easy-to-use app that can solve any kind of math problem. It can solve math word problems, algebra, graphing, calculus, and all other math problems.
All you need is to take a photo of your math word problem with Gauthmath and get step-by-step answers for your math homework. Gauthmath is like a math homework answer scanner that helps you solve all kinds of math problems. Gauthmath solves word problems even the hard ones, and provides step-by-step explanations for all your maths questions. Gauthmath is a math app with a powerful math problem solver that can help with all kinds of maths problems. It includes a math scanner that can solve even the hardest math word problems in seconds, so you don't need to worry about whether your math homework will be done well.
Gauthmath has thousands of math helpers who can answer your math questions with detailed explanations. All you have to do is take a photo of the problem with Gauthmath- Powerful Calculator, and the math helper will answer instantly.
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Steps to solving the Rubik's cube (3x3x3)
The figures in this document represent a sample cube. Although the colors on your personal Rubik's cube may be different than the figures, I feel that the colored figures will still be helpful in solving the cube. I would suggest matching as many colors on your cube as possible to the figures, then making mental notes about which colors correspond between your cube and the figures. For example, perhaps you can match the red, green, and blue sides exactly, but the yellow in the figures corresponds to pink on your cube. Just keep this equivalency in mind when looking at the figures. In addition, I have numbered the middle-center pieces for reference such that 1 and 2 are opposite each other and 3, 4, 5, and 6 go around the cube in a circle. Finally, the diagrams show all six sides of the cube by pretending that mirrors are being held up so that you may see the "hidden" sides. If you have trouble discerning the difference between green and yellow, try this alternative page.
The directions for what parts of the cube to turn and when are given in a code that is relative to the current positioning of the cube. Each side or slice descriptor refers to a side with respect to the figure the move is referenced to. This means that the front side can be a different color, depending on the diagram being used. The code is easy to follow and instructive diagrams are included for each of the moves.
In the figures, any gray pieces represent pieces that don't matter and can be any color. To increase clarity, I have shown a lot of colored pieces. In most cases, the figures represent an example of the situation being described, while the colors don't have to match perfectly, particularly when I describe correctly positioned yet incorrectly rotated pieces. Wherever I have placed numbers on the pieces in the figures, though, they should match up perfectly.
|Pick a middle-center piece to represent the first side of the cube solved (side 1 in the diagrams) and solve that side (make it a solid color). Be sure to have correctly colored and matched edge and corner pieces, such that an evenly colored border exists around the side, as shown in Figure 1.|
Hopefully you can accomplish Step 1 without any additional help. It's just a matter of moving pieces out of the way to insert desired pieces in the correct locations. Still, if you would like further help on this, then please visit the Step 1 page.
Go on to Steps 2 and 3
Back to my home page.
Contact info: I appreciate receiving e-mails describing your success with these directions, but I cannot provide any additional help in solving the Rubik's cube beyond the instructions and steps shown here. Please also e-mail if you have problems accessing a page or seeing a graphic.
Last Modified May 9, 2009


Greg Spiliopoulos is a Ph.D. candidate in Mathematics Education at the Kapodistrian University of Athens, Greece. He holds a Master’s Degree in Mathematics from the University of Kansas, USA, and a B.Sc. in Mathematics from the Kapodistrian University of Athens. He has served as a teaching and research assistant at both universities and was a Landis-Mitchell Fellow at Kansas University. He has been teaching College Mathematics, Statistics, Operations Research and Data Analysis Methods since 1991. He has worked as a consultant at Group Dymamique Co. and as headmaster at the Montessori School of Athens “Maria Goudeli”. His research work has been published in Fundamenta Mathematicae (Mathematics Institute of the Polish Academy of Sciences) and in the Canadian Mathematical Bulletin. He is a member of the Laboratory of Epistemology & Science Education at the University of Athens, and a founding member of the Hellenic Society of History, Philosophy and Didactics of Sciences, of the Society for the Study of Greek Civilization and of the Greek branch of MENSA. He serves as the Director of Office of Institutional Research and Assessment at Hellenic American University and he is a full-time faculty member teaching in the General Education and BSBA programs.
His research interests involve mathematics education, critical education and science, set theoretic topology, and epistemology.


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The moving average (MA) is one of the most widely used indicators in technical analysis.
It uses past data to act as a guide for future decisions. The most common types are the simple, exponential and weighted moving averages (SMAs, EMAs & WMAs).
Moving averages smooth out random fluctuations in price data over time. They show the underlying trend of an asset by averaging prices together before displaying them on graph charts to be more easily read.
They are used to identify the current price trend of an asset by showing any significant changes in price direction.
They don’t predict future prices with accuracy; that’s not their role at all. To use them effectively, you need to understand their limits and how they fit within your strategy or risk losing money on trades you had thought were good ideas.
The best way to learn how they’re used is to practice using them yourself before reading more about how others have combined them with other indicators and strategies for profit. But if you’ve done that already, this article will expand on those ideas a little further, as well as explain some statistical properties of moving averages that few traders outside the financial industry understand.
Despite their simplicity, however, they can still be very effective as a means of directionally trading the markets.
The simple moving average is calculated by adding all of the closing prices over a chosen period and dividing that total by the number of prices included in the calculation.
A 10-day simple moving average, for example, is calculated by adding up all of today’s prices plus the previous nine days’ closing prices and then dividing that number by 11.
The same would be done for each subsequent day, so you’d have a value for ten days in the future – which would not happen because the second line represents tomorrow’s price(s) based on yesterday’s total.
As with most technical analysis-related, this isn’t an exact science just yet because there are no known ‘correct’ values to use as parameters.
Smooth or adjusted
Then there are three variations on that theme, known as either ‘smoothed’ or ‘adjusted’ moving averages because they don’t use the same values each time over their chosen period.
You’ll see these values on some charts, which can be confusing because they look like simple moving averages when in fact, they are not.
This one works in much the same way as the simple moving average. Instead of adding up and dividing by the number of prices used in the calculation, we multiply each entry in the price/value list by a certain weighting and then add these products together.
This time we divide our result by N-1 rather than N to get an exponential moving average value instead of a simple one.
If this is starting to look familiar, it’s because you’ve worked out already that multiplying and dividing by different numbers can give us different results when dealing with averages!
Then there’s the weighted moving average which is best used when you want to assign different amounts of significance or weighting to each value included in the MA calculation.
This is done by multiplying the price involved by a certain amount – which you’ll see on some software packages as a multiplier, or ‘alpha’ as it’s sometimes called.
To work out the weighted MA, you multiply each MA value by its multiplier and add all these products together.
The result is then divided by the total amount of data being used for this calculation, shown as N.
Depending on which method you choose, different types of calculations are performed on the historical data before a new number is produced. Still, all types generate a simple average over a specified period.
This gives us our new moving average value, but to get it plotted on price charts, we need to take the reciprocal of this number – an easy way that many charting packages allow you to do this with a built-in option that does it for you. What seems confusing at first will become second nature once you start using it, we promise!


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1 edition of Notes on dynamical systems in economics found in the catalog.
Notes on dynamical systems in economics
1982 by Institute for Economic Research, Queen"s University in Kingston, Ont .
Written in English
|Statement||David Backus, prepared for Economics 820: monetary theory.|
|Series||Discussion paper,, #501, Discussion paper (Queen"s University (Kingston, Ont.). Institute for Economic Research) ;, no. 501.|
|LC Classifications||HB135 .B32 1982|
|The Physical Object|
|Pagination||45 p. :|
|Number of Pages||45|
|LC Control Number||85154803|
Book Description. The theory and applications of random dynamical systems (RDS) are at the cutting edge of research in mathematics and economics, particularly in modeling the long-run evolution of economic systems subject to exogenous random shocks. Despite this interest, there are no books available that solely focus on RDS in finance and. This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent : Wei-Bin Zhang. This book started as the lecture notes for a one-semester course on the physics of dynamical systems, taught at the College of Engineering of the University of Porto, since The subject of this course on dynamical systems is at the borderline of physics, mathematics.
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LECTURE NOTES ON DYNAMICAL SYSTEMS, CHAOS AND FRACTAL GEOMETRY Geoﬀrey R. Goodson Dynamical Systems and Chaos: Spring CONTENTS Chapter 1. The Orbits of One-Dimensional Maps Iteration of functions and examples of dynamical systems Newton’s method and ﬁxed points Graphical iteration Attractors and repellers.
The presentation encompasses a short reminder of linear dynamical systems and traditional themes in nonlinear systems like the existence and uniqueness of limit cycles and closed orbits in predator-prey systems.
The main part of the book deals with chaotic motion in economic systems. It is demonstrated, that irregular dynamical behavior can be Cited by: Online base book. Active Networks: IFIP TC6 6th International Working Conference, IWANLawrence, KS, USA, October, Revised Papers (Lecture Notes in Computer.
This Notes on dynamical systems in economics book edition has a new chapter on simplifying Dynamical Systems covering Poincare map, Floquet theory, Centre Manifold Theorems, normal forms of dynamical systems, elimination of passive coordinates and Liapunov-Schmidt reduction theory.
It would provide a gradual transition to the study of Bifurcation, Chaos and Catastrophe in Chapter Cited by: This is the internet version of Invitation to Dynamical Systems. Unfortunately, the original publisher has let this book go out of print.
The version you are now reading is pretty close to the original version (some formatting has changed, so page numbers are unlikely to be the same, and the fonts are diﬀerent). As for context on dynamical systems in economics (to see what it may entail), formal dynamical systems in economics is not Notes on dynamical systems in economics book really a thing, but it is a direction I think a number of people wish to take the field.
Speaking as a micro theorist, much of the solution concepts from game theory are static, in the sense that while they are stable. Many problems in theoretical economics are mathematically formalized as dynam ical systems of difference and differential equations.
In recent years a truly open approach to studying the dynamical behavior of these models has begun to make its way into the mainstream. That is, economists formulateBrand: Springer-Verlag Wien. These notes review the theory of linear differential and difference equations at the first-year graduate economics student level.
The mathematical trick of transforming a system into canonical form, which I take to be diagonal, is applied to continuous and discrete time systems and perfect foresight models.
Backward and forward-looking solutions are described. Dynamical Systems, Theory and Applications Battelle Seattle Rencontres.
Editors; J. Moser; Book. Citations; 3 Mentions; k Downloads; Part of the Lecture Notes in Physics book series (LNP, volume 38) Chapters Table of contents (19 chapters) About About this book; Table of contents. Search within book. Front Matter. PDF. Time. Dynamical Systems and Turbulence, Warwick Proceedings of a Symposium Held at the University of Warwick / Editors: Rand, D.
A., Young, L.-S. (Eds.) Free Preview. I currently have the book Dynamical Systems with Applications Using Mathematica by Stephen Lynch. I used it in an undergrad introductory course for dynamical systems, but it's extremely terse.
As an example, one section of the book dropped the term 'manifold' at. The main goal of the theory of dynamical system is the study of the global orbit structure of maps and ows. In these notes, we review some fundamental concepts and results in the theory of dynamical systems with an emphasis on di erentiable dynamics.
Several important notions in the theory of dynamical systems have their roots in the work. This book is an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems.
The authors aimed at keeping the requirements of mathematical techniques minimal but giving detailed proofs and many examples and. What is a dynamical system. A dynamical system is all about the evolution of something over time.
To create a dynamical system we simply need to decide what is the “something” that will evolve over time and what is the rule that specifies how that something evolves with time. In this way, a dynamical system is simply a model describing the temporal evolution of a system. Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference differential equations are employed, the theory is called continuous dynamical a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization.
r´e is a founder of the modern theory of dynamical systems. The name of the subject, ”DYNAMICAL SYSTEMS”, came from the title of classical book: ﬀ, Dynamical Systems. Amer. Math. Soc. Colloq. Publ. American Mathematical Society, New York (), pp. These lecture notes are not meant to supplant the textbook used with this course.
The main textbook is Steven Wiggins’ “Introduction to Applied Nonlinear Dynamical Systems and Chaos” (2nd edition, ) (Springer Texts in Applied Mathematics 2). These notes are not copywrited by the author and any distribution of them is highlyFile Size: 2MB.
Written inthese notes constitute the first three chapters of a book that was never finished. It was planned as an introduction to the field of dynamical systems, in particular, of the special class of Hamiltonian systems. We aimed at keeping the requirements of mathematical techniques minimal but File Size: 6MB.
Introduction to Dynamical Systems Lecture Notes for MAS/MTHM Version18/04/ Rainer Klages pursued, e.g., in the book by Strogatz [Str94].1 The other approach starts from the study of between dynamical systems theory and other areas of the sciences, rather than dwelling.
Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified. In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers.
The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential. e-books in Dynamical Systems Theory category Random Differential Equations in Scientific Computing by Tobias Neckel, Florian Rupp - De Gruyter Open, This book is a self-contained treatment of the analysis and numerics of random differential equations from a problem-centred point of view.
Many problems in theoretical economics are mathematically formalized as dynam ical systems of difference and differential equations. In recent years a truly open approach to studying the dynamical behavior of these models has begun to make its way into the mainstream. Dynamical systems Chapter 6.
Dynamical systems § Dynamical systems § The ﬂow of an autonomous equation § Orbits and invariant sets § The Poincar´e map § Stability of ﬁxed points § Stability via Liapunov’s method § Newton’s equation in one dimension Chapter 7. Planar. Find many great new & used options and get the best deals for Lecture Notes in Economics and Mathematical Systems: Set Valued Dynamical Systems and Economic Flow by L.
Cherene (, Paperback) at the best online prices at eBay. Free shipping for many products. This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years.
In this section we consider two special kinds of dynamical systems that are often encountered in economics. xl /x2 FigureGradient systems. H, R. Varian Gradient systems 7 A dynamical system on X, 2 =f(x) is a gradient system if there is some function V: X>R such that f(x)=-DV(x).Cited by: Get this from a library.
Set valued dynamical systems and economic flow. [Louis J Cherene jr] -- The purpose of this monograph is to illuminate the central issues of dynamic analysis applied to economic models, using a generally accepted language of the study of dynamical systems at a level of.
This section contains selected lecture notes. The numbering of lectures differs slightly from that given in the Calendar section. This is one of over 2, courses on OCW. Find materials for this course in the pages linked along the left. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the.
The basic notion of nonlinear dynamical systems theory is also the notion of an attractor, primarily a chaotic attractor. Let F stand for a map of m-dimensional space into itself. The compact set A, which is situated in the m-dimensional space, we call the attractor for F if it meets the conditions of invariance, density, stability and : Aleksander Jakimowicz.
The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering. Discover the. This Fall course site has 15 sets of lecture notes and three problem sets, all The course "begins with static portfolio choice, reviews the capital asset pricing model (CAPM), then develops dynamic equilibrium asset pricing theories and studies some of the puzzles in Financial economics and proposed solutions.
If you're looking for something a little less mathy, I highly recommend Kelso's Dynamic Patterns: The Self-Organization of Brain and Behavior. I read it as an undergrad, and it has greatly influenced my thinking about how the brain works. Gibson'. Read the latest chapters of Mathematics in Science and Engineering atElsevier’s leading platform of peer-reviewed scholarly literature.
First-order systems of ODEs 1 Existence and uniqueness theorem for IVPs 3 Linear systems of ODEs 7 Phase space 8 Bifurcation theory 12 Discrete dynamical systems 13 References 15 Chapter 2. One Dimensional Dynamical Systems 17 Exponential growth and decay 17 The logistic equation 18 The phase.
Dynamical Systems. This a lecture course in Part II of the Mathematical Tripos (for third-year undergraduates). The notes are a small perturbation to those presented in previous years by Mike Proctor. I gave this course in the academic years I leave the lecture notes here in case they are helpful, but Cambridge undergraduates taking.
Set valued dynamical systems and economic flow. [Louis J Cherene] using a generally accepted language of the study of dynamical systems at a level of Read more Rating: (not yet rated) 0 with reviews - Be the first. Subjects: Statics and dynamics (Social sciences) # Lecture notes in economics and mathematical systems.
The Paperback of the Dynamical Systems: An Introduction with Applications in Economics and Biology by Pierre N.V. Tu at Barnes & Noble. FREE Shipping. Due to COVID, orders may be delayed. Thank you for your patience. Book Annex Membership Educators Gift Cards Stores & Events Help.
Book Title:Hamiltonian Dynamical Systems: A REPRINT SELECTION Classical mechanics is a subject that is teeming with life. However, most of the interesting results are scattered around in the specialist literature, which means that potential readers may be somewhat discouraged by the.
Notes: 2D dynamical systems Sebastian Boie For any questions or suggestions about the notes, please e-mail me at [email protected] Characterization of the stability of equilibria We derive a diagram that is useful for the characterization of the stability of equilibria in 2DFile Size: KB.
Notes on Dynamical Systems (continued) 2. Maps The surprisingly complicated behavior of the physical pendulum, and many other physical systems as well, can be more readily understood by examining their discrete time versions.
The fact is that observations of change are always recorded by sampling systems at discrete moments. Thus, while. System Upgrade on Feb 12th During this period, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again.Equilibrium is a concept used in operations research and economics to understand the interplay of factors and problems arising from competitive systems in the economic world. The problems in this area are large and complex and have involved a variety of mathematical methodologies.
In this monograph, the authors have widened the scope of theoretical work with a new approach, `projected.Given that this question is about dynamical systems, I probably should do it in the context of the future as time → infinity, but let’s instead think of times that are somewhat closer than that.:) One way to get an idea of what the future of dyna.