Welcome to the Mathematics Faculty curriculum area.
Our curriculum aims to have the highest expectations of every student and to represent our belief that every student can learn every concept. In doing so, we aim to ensure that every student develops an understanding of the multiple links that occur between concepts, leading to a recognition of the beauty and power of Mathematics and an understanding of a set of tools that can be used beyond school.
We aim to make all students successful in each topic they study. By doing so, we aim to develop a sense of enjoyment and curiosity about mathematics, enabling our students to continue being successful as they progress to studying more complex content. We endeavour to provide a high-quality mathematics education which provides the foundation for understanding many disciplines, the ability to reason mathematically and ensures that all students are financially literate.
The Mathematics Curriculum:
Is sequenced to ensure topics and concepts are revisited and built upon throughout KS3 and KS4, to embed conceptual understanding and develop problem-solving skills.
Provides accessible starts points for each learning sequence, with prior knowledge checks and end of unit assessments for each topic. Each unit carefully identifies the prerequisite and dependant knowledge required so that students have the building blocks they need for later success.
Ensures skills and knowledge are broken down into small steps to support every student learning every step of every concept, including those with special educational needs.
Contains consistent and accurate use of mathematical language and explanations which match those contained in student knowledge organisers, to give students the vocabulary they need to reason mathematically.
Is ambitious for all students, following the structure of the National Curriculum. Students are given every chance to be successful on the Higher tier GCSE Maths course.
The Mathematics curriculum (Y7-13) follows the structure of the Pearson Key Stage 3/4/5 textbooks and Scheme of Work. There is a Core Curriculum throughout Y7 & Y8, creating a connected pathway in which all students can be successful following on from Pearson’s KS2 ‘Power Maths’ which is widely used with the majority of our feeder schools.
Please find Links below


Guide for authors Journal of Number Theory - ISSN 0022-314X
s paper is In final form and no version of it will be submitted for publication elsewhere. El: Howard fed.), Applications of Fibonacci Numbers, Volume 9: Proceedings of the Tenth International Research …... In addition to specialized graduate courses, the number theory group has a weekly research seminar with outside speakers from across all areas of number theory. There are also a variety of learning seminars aimed at helping students and postdocs to acquire familiarity with important techniques and results that are generally not available in textbooks (with notes posted for wider dissemination
Journal of Number Theory pages.pomona.edu
This journal publishes the highest quality papers in all of the traditional areas of number theory research, and it actively seeks to publish seminal papers in the most emerging and interdisciplinary areas here as well. Research in Number Theory also publishes comprehensive reviews.... Research in Number Theory is an international, peer-reviewed Hybrid Journal covering the scope of the mathematical disciplines of Number Theory and Arithmetic Geometry. The Mission of the Journal is to publish high-quality original articles that make a significant contribution to these research
Journal of Number Theory pdfs.semanticscholar.org
This journal publishes the highest quality papers in all of the traditional areas of number theory research, and it actively seeks to publish seminal papers in the most emerging and interdisciplinary areas here as well. Research in Number Theory also publishes comprehensive reviews. transformer dossier word en pdf This is a list of number theory topics, by Wikipedia page. See also List of recreational number theory topics; Topics in cryptography
Number Theory Research Paper AZ Writing
PRIMES: Research Papers. 2018 Research Papers. 156) Allen Wang (PRIMES) and Guangyi Yue (MIT), These algebras have numerous applications in representation theory, number theory, algebraic geometry and integrable systems in quantum physics. Consequently, understanding their irreducible representations is important. If the deformation parameters are generic, then these … the road pdf with page numbers APA Style Guidelines Examples - nait. Acid Migration The transfer of acid from an acidic material to a less acidic or neutral-pH material.Ply The separate webs, which make up the sheet formed on a multi-cylinder machine.Since the latter half of the 20th century, however, the Aetas have been declining in number.
How long can it take?
List of Publications (with links to recent papers)
- MA341 Elementary Number Theory Projects BU
- Research in Number Theory Springer
- Research in Number Theory Springer
- Number Theory Mathematical Institute
Number Theory Research Papers Pdf
3 3 3 3 Matilde Marcolli Noncommutative geometry and number theory NAW 5/9 nr. 2 June 2008 111 classes of 1-dimensional Q-lattices consid-ereduptoascalingfactor.
- using one of a number of recognised research methodologies- the choice is largely a matter of discipline- what counts as a useful methodology within a particular area (following section …) Clarke, R. J. (2005) Research Methodologies: 21 Theories, Methods, Domains. Clarke, R. J. (2005) Research Methodologies: 22 Theories, Methods, Domains (1) Theory Defined a theory is a set of interrelated
- The Journal of Number Theory (JNT) features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied areas. A valuable resource for mathematicians, the journal provides an international forum for the publication of original research …
- Bioinformatic Game Theory and Its Application to Cluster Multi-domain Proteins, Brittney Keel PDF Extremal Results for the Number of Matchings and Independent Sets , Lauren Keough
- Classifications of Number Theory 1. Introduction . Number theory (or) arithmetic. is a branch of . pure mathematics . devoted primarily to the study of the integers, more specifically the properties of positive integers. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g


If you are a student that needs a scientific calculator for class, you may be wondering which one is the best scientific calculator to buy.
They are easy to find at department stores, electronic stores, and office supply stores. Scientific calculators perform most of the same basic functions, but depending on the model, some can do more advanced calculations that may be required for the class you are taking.
It’s important to understand what calculations you will be performing with your scientific calculator to make sure it will be able to do what you need it to. Here are a few tips in the differences in scientific calculators and what to look for when you are buying one, plus a few reviews to help you start shopping.
- Best Scientific Calculator Comparison Table
- #1. Texas Instruments TI-30X IIS 2-Line Scientific Calculator
- #2. Casio fx-300ES PLUS Scientific Calculator
- #3. Sharp EL-W516XBSL 556 Scientific Calculator – Editors’ Choice Winner!
- #4. HP 35s Scientific Calculator
- #5. Texas Instruments TI-36X Pro Engineering/Scientific Calculator
- #6. Casio fx-115ES PLUS Engineering/Scientific Calculator
- Features of a Scientific Calculator:
Best Scientific Calculator Comparison Table
|Texas Instruments TI-30X IIS 2-Line Scientific Calculator||Great nongraphic calculator, easy to use|
|Casio fx-300ES PLUS Scientific Calculator||A simple, yet somewhat technically-able calculator that is perfect for students|
|Sharp EL-W516XBSL 556 Scientific Calculator Editors' Choice Winner||Great for school, you get a lot of features for the money|
|HP 35s Scientific Calculator||Great user guide, very complete|
|Texas Instruments TI-36X Pro Engineering/Scientific Calculator||Does four line addition, most calculators only do one|
|Casio fx-115ES PLUS Engineering/Scientific Calculator||Faster with calculating complex numbers than its competitors|
#1. Texas Instruments TI-30X IIS 2-Line Scientific Calculator
The Texas Instruments TI-30X IIS 2-Line Scientific Calculator offers you a two-line display that includes the equation you are generating on the top line, and the symbols and numbers you are presently entering on the next line.
When you have solved the equation, your results will be shown on the second line, and you are then able to edit the original equation with four arrow keys in case you need to recalculate. If you repeatedly press the up arrow button, it will also let you look back through previous calculations, so you can look back if you need to see the answer to another problem.
This is a solar-powered calculator, but, if necessary, if can use the internal batteries that are included if it doesn’t have enough light. It includes scientific and engineering notation modes, three angle modes consisting of grads, degrees, and radians, plus one or two variable statistical modes.
There are also memory slots that can hold up to five variables, and a Snap-On cover that also fits onto the back of the calculator. The Texas Instruments TI-30X IIS 2-Line Scientific Calculator is perfect for general math and science, pre-algebra, Algebra 1 and 2, Geometry, and Statistics.
It is a strong, professional grade scientific calculator that features the following functions:
- Two-line displays
- Cut, edit, and paste entries
- Basic science and trigonometry calculations
- One and two variable statistics
Reviewers found that this is a great calculator for both middle and high school students. Some students received it in seventh grade and were still using it in calculus class. It has great features like the ability to enter a complete expression and then solve it, plus it allows you to go back into an equation and change numbers.
The buttons on the keyboard are arranged very logically and numbers that you need are found next to each other. Others found that the buttons tended to be a little loose, but didn’t affect the calculator’s performance. Otherwise, most reviewers found it to be a great calculator for the price.
#2. Casio fx-300ES PLUS Scientific Calculator
The Casio fx-300ES PLUS Scientific Calculator is a versatile and powerful calculator that comes with a large screen and Casio’s patented Natural Display. It is a great scientific calculator for students in middle and high school that are taking math and physics class.
It is solar powered, but comes with a battery backup making it a dependable and long lasting calculator. It has over 200 features and calculations, and it is approved for the ACT, SAT, AP and PSAT/NMSQT exams.
The Casio fx-300ES Plus is great for general math and science, pre-algebra, Algebra I & II, geometry, trigonometry, statistics, and physics. The Natural Textbook Display reveals results and expressions just like they look in a textbook.
The Multi-Replay function lets you go back through a step-by-step calculation, so you can change the formula and recalculate your answer. It also has the following functions:
- Fractions and roots
- Displays repeating decimals
- Prime factorization
- Linear Regression
Plus it has nine constant memory locations. The Casio fx-300ES Plus is an easy to use and an intuitive scientific calculator that helps you quickly get through your homework. It also includes a large, multi-line display with replay functionality.
Reviewers have found this a really good calculator for statistics classes, and it is much better than the calculator on your smartphone. When your class requires a calculator that is not a graphing calculator, the Casio fx-300Es is perfect, and it can do everything the class will require. The one downside of the calculator is that the paint comes off the keys pretty easily.
#3. Sharp EL-W516XBSL 556 Scientific Calculator – Editors’ Choice Winner!
The Sharp EL-W516XBSL is a high-quality scientific calculator that is fully-functional, and it is capable of performing over 530 advanced mathematical and scientific functions.
WriteView Technology lets students see formulas just as they look in their textbooks, and the EL-W516XBSL uses an easy to read four line display with a Playback feature that allows you to easily edit formulas. It also has four programmable keys, and it has the capability of simultaneously solving three equations.
This is a great scientific calculator for students, and it includes advanced engineering and technology that will give you pin-point accuracy. It is great for general math and science, algebra, statistics, geometry, biology, chemistry, and trigonometry.
It features over 530 functions including trigonometry, statistics, and other science-related functions. It has a large four line, 16 digit LCD display, modes that include State, Drill, Normal, Complex, List, Equation and Matrix, and four programmable keys that allow you to quickly use your desired functions.
Reviewers have found it to be a pretty comprehensive scientific calculator that is able to remember your command history even after you turn it off. It also has a great looking display and an intuitive layout. Others felt it didn’t seem very durable, and it didn’t have enough tactile feedback to know when you have pressed the keys down, even though the key sensitivity was still good.
#4. HP 35s Scientific Calculator
The HP 35s Scientific Calculator gives you the professional performance that HP is known for. It provides the definitive RPN scientific programmable calculator that is perfect for surveyors, scientists, engineers, college students, and medical professionals.
If your student is preparing a science project, the HP 35s Scientific Calculator will give your student precision, functionality, and reliability to be successful. It has additional features including a two-line display, both algebraic and RPN entry-system logic, 30KB user memory, and the HP Solve application which is a great time saver.
This is a very versatile calculator that is one of the only scientific calculators that lets you choose between algebraic or RPN entry-system logic. Plus, it has a large display with two lines and a 14 character display to make entries and see menus or results easily.
It also includes a contrast feature that is adjustable, so it is easy to use the calculator inside and outside. It has over 100 built-in constants and functions that are preloaded, so the calculator is ready to use as soon as you get it.
And to make sure large equations are solved quickly and smoothly, there are over 800 independent storage registers that let you store an equation, solve it with any variable, and then use it again with one of the over 100 functions.
Reviewers found that the HP 35s scientific calculator had good programmability, but it was limited to only alphabet letter for variables. It comes with a nice durable case, and a manual. The display was nicely recessed, so it wouldn’t be scratched, and it had a good, although limited, number support. Others found the durability questionable, and wondered why the RPN mode was not the default.
#5. Texas Instruments TI-36X Pro Engineering/Scientific Calculator
The Texas Instruments TI-36X Pro is perfect for students at any level from middle school to high school. It has a lot of power for an inexpensive price. It is solar powered and mixes operations for Boolean logic with unit conversations and statistical analysis into one small unit.
It can solve a lot of functions for math students including calculating angle units like grads, radians, and degrees in trigonometry and performing fractional equations. It also features a very helpful English/metric conversion operation.
It does not have a graphing function, and the display is a little hard to see when it is lying flat. For the price, this is a very powerful calculator that can help you with your high-level math and science processing needs. This is a great calculator for classes that do not allow a graphing calculator.
Other features include a MultiView™ display that shows you several calculations on the screen at the same time, and MathPrint™ that shows you symbols, math expressions, and stacked fractions like they look in a textbook. It can convert decimals and fractions, as well terms that include Pi, and it can choose floating/fix, degrees/radian, and number format modes.
It is a four line scientific calculator that has high-level science and math functionality that is perfect for engineering and computer science courses that do not allow graphing calculators. This is a calculator that can take you from middle school through college, and it is great for classes like Biology, Algebra 1 & 2, Statistics, Geometry, Calculus, and Trigonometry.
Reviewers found the TI-36X blows away its competition, and it is much easier to use. It doesn’t require special modes for complex numbers, and it has an easy operations history to go back through. The features are very intuitive, and the manual was not needed very much. it was also not very durable and the keys were not very sensitive.
#6. Casio fx-115ES PLUS Engineering/Scientific Calculator
The Casio fx-115ES PLUS Engineering/Scientific Calculator is one of the most advanced scientific calculators on the market. It is easy to use with a Natural Display and improved features including product notation, finding derivatives, root form display, and advanced inequality functionality. This is a very versatile calculator that is a great choice for middle school through college.
The Natural Display shows equations and their results just as they would look in a textbook, and the multi-replay function lets you go back step by step through your calculations, so you can edit if necessary and recalculate. It has over 280 functions that include base arithmetic, fractions, linear regression, statistics, computer science, standard deviation, and polar-rectangular conversions.
This is a great calculator for general math and science classes, pre-algebra, Algebra I & II, trigonometry, pre-calculus, engineering, statistics, physics, chemistry, and it is one of the calculators allowed for the ACT, PSAT/NMSQT, and SAT, plus the AP tests and NCEES exams.
Reviewers found that it is a good scientific calculator, but it has a bit of a learning curve. Students liked it because they can put in math problems just like they are on the paper to get them solved, and it is able to take points in a table to create a graph. Others found all the features and functions overkill, and many couldn’t figure out how to work a lot of it without using the manual. The buttons also tend to move a little, but they stay in place.
The Texas Instruments TI-30X IIS 2-Line Scientific Calculator offers you a two line display, and the ability to go back into your equation to make changes and recalculate. It is solar powered with a battery backup, and it includes scientific and engineering notation modes, three angle modes, and one or two variable statistical modes.
The Casio fx-300ES PLUS Scientific Calculator is a powerful and versatile calculator that comes with Casio’s patented Natural Display displaying expressions and results like they look in a textbook. It also has over 200 features and calculations, and it has nine constant memory locations.
The Sharp EL-W516XBSL 556 Scientific Calculator has the ability to perform over 53 advanced mathematical and scientific functions. Like the Casio’s Natural Display, Sharp was WriteView Technology that lets students see formulas just like they look in a textbook, plus it has an easy to read four line display.
The HP 35s Scientific Calculator is the definitive RPN scientific programmable calculator with a two-line display. It is one of the few calculators that lets you choose between algebraic or RPN entry-system logic.
The Texas Instruments TI-36X Pro Engineering/Scientific Calculator is great for students to take with them from middle school to college. It is a very inexpensive calculator that can calculate angles, fractional equations, and even do helpful metric conversions.
The Casio fx-115ES PLUS Engineering/Scientific Calculator is one of the most advanced scientific calculators that you will find on the market. It also has Casio’s Natural Display, and it is very intuitive with no learning curve needed to operate it.
Features of a Scientific Calculator:
A scientific calculator is useful if you are in the science or math field for your occupation. It is a more advanced calculator that is able to perform exponential functions, trigonometry, calculus, and logarithms. Here are a few tips on what to look for when you purchase a scientific calculator.
Scientific Calculator Uses
When you are considering buying a scientific calculator, it is important to decide how you will be using it. Before scientific calculators, it was common to use a slide rule to figure out advanced math and engineering calculations.
As calculator technology advanced, the type of mathematical functions it could do increased. They can now perform very advanced calculations including calculus and trigonometry, and many scientific calculators can do binary and octal calculations and include built-in numbers like pi.
Student UsesScientific calculators are often required for students from middle school on through college.
More advanced scientific calculators are often needed in high school for math, engineering, and advanced science classes, while college students will need a scientific calculator if they are studying math, engineering, chemistry, physics, astronomy or architecture.
It is important to match the level of the scientific calculator that you buy with the level of the class you are taking, so you don’t purchase a calculator that isn’t advanced enough or pay more for a calculator that has features you don’t need.
It is also not a bad idea to think about what math class your child will be taking the next year and get a calculator that will last your child for a few years in school.
You probably use a scientific calculator if you work in a math or science position. Engineers, architects, planners and designers also use a scientific calculator a lot in their work. At this level, it is vital to have a dependable scientific calculator that is able to perform basic and advanced functions in their chosen field.
It is always a good idea to test out a few calculators to make sure they are capable of performing the basic functions that you use in your line of work. It is also important the displays and keys are easy to read.


Mathematics Institute, University of Warwick Thursday 9th – Friday 10th June 2011
This EPSRC & ASSYST meeting follows a workshop held in February 2011 at the European Centre for Living Technology in Venice as part of the European ASSYST project. Like the Venice meeting, this workshop is organised around the questions:
- which areas of mathematics are used in complex systems science?
- what is the historical context? Have any outstanding problems been solved?
- have any new fields of mathematics or problems been generated ?
- how can statistical research contribute to complex systems science?
- how does mathematics interface to computation in CS science?
- what are the implications for applications in industry and for policy makers?
- are new logical frameworks necessary for the science of complex systems?
- what are the implications for education and training in CS science?
- are there completely new areas of mathematics waiting to be discovered?
- what are the ‘grand challenges’ for mathematics and mathematicians?
The meeting in Warwick is intended to widen the network of mathematicians participating in this initiative. Everyone will be given the opportunity to present their views. Attendance is free. We will provide overnight accommodation on Thursday 9th June (and Wednesday 8th June as needed) and refund travel expenses. If you would like to attend please contact us to book your place as soon as possible.
Please email firstname.lastname@example.org or call 01908-652627 or 077 966 966 21 to book your place.
Registration: see the source webpage.
The meeting is organised by Robert MacKay (R.S.MacKay@warwick.ac.uk) on behalf of the Warwick Mathematics Institute and Jeff Johnson (email@example.com) on behalf on ASSYST.


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At Spring Meadow Infant and Nursery School our aim is for all children to:
- Become fluent in the fundamentals of number, measurement and geometry using varied strategies
- Reason mathematically by understanding relationships, justifying and proving using precise mathematical vocabulary
- apply their mathematical knowledge to solving problems by breaking them down into simpler steps and persevering to find an outcome
Maths is everywhere; not just calculations on a page, so an enjoyment of the subject in the earlier years of a child’s educational journey is needed to shape their future aspirations and ambitions. It is so important to us that we show the children of Spring Meadow the relevance of maths in the real world, and support them in developing the confidence and positive attitudes required to help them all fulfil their potential.
We want to give our children the tools needed to think and reason mathematically using precise vocabulary, alongside the knowledge and opportunities to build on and develop previous learning. They will be prepared for the next stage of their mathematical journey by encouraging independent and collaborate learning, developing their resilience in the face of errors and supporting them to persevere with problem solving challenges.
Here at Spring Meadow, we use Power Maths, a whole-class mastery programme which reinforces the high expectation that all children are capable of achieving good outcomes in maths. Using the principles of teaching from high performing countries, and an ‘interleaved’ curriculum approach aligned to White Rose, this DFE approved maths scheme sparks curiosity and excitement and helps teachers to nurture confidence in Maths.
The Power Maths mastery approach values real understanding and richer, deeper learning above superficial task completion. It sees all children learning the same concept in small, cumulative steps, each finding and mastering challenge at their own level. It assumes the notion that everyone is a mathematician, however those who grasp a concept easily have time to explore and understand the concept at a deeper level, whilst others can be supported through careful scaffolding and same day intervention. The whole class therefore moves through the curriculum at broadly the same pace via individual learning journeys.
Consistency and progression are achieved through carefully sequenced lessons which are divided into sections that involve an abundance of opportunities for discovery, sharing, collaboration, practice and reflection. Children are encouraged to solve problems each day through the use of concrete resources, pictorial representations and abstract thinking.
Children’s fluency, reasoning and problems solving skills are assessed on a formative and summative using mini plenaries, key assessment questioning, recapping and revisiting and end of unit assessments in Key Stage 1. In the Early Years the assessment is in the form of observation and interaction with the children to enable teachers to be responsive to the children’s learning. High ceiling, low threshold tasks are used to enable all learners to show their depth and application of skills, knowledge and understanding.
The maths subject leader monitors the teaching and learning of maths throughout the year through learning walks, outcome scrutiny and discussions with children from across the school to find out what they enjoy, how they use maths beyond their daily lessons and how they overcome problems when they are ‘stuck’. This evaluation of the teaching and learning of maths within the school informs them of next steps to be taken in further raising standards in maths.
Our children leave our school prepared for the next stage in their mathematical journey. They are confident in key facts, strategies and approaches to help them attempt problems in number, measure and geometry. We want our children to be proud of their amazing thinking and move onto Key Stage 2 seeing themselves as mathematicians.


"Nonsmooth Optimization Methods and Applications" provides an overview of this branch of mathematics, concentrating on the interaction between the theory and its applications. The topics covered include: generalization of convexity, invexity, coercivity, monotonicity and pseudoconvexity; generalization of differentiability of functions and multifunctions, and their applications to extremum problems; variational and hemivariational inequalities and their applications to mechanics and operations research; calculus for non-differentiable functions and new developments in the calculus of variations; stability of mathematical programs; Lagrangian multipliers and augmented Langrangian theory; penalty methods; vector extremum problems and methods for solving non-differentiable extremum problems, in particular bundle methods.
Roger takes on a job as a deckhand on Bart and Janet's yacht. They are busy professionals who want to take a break from the business world and patch up their relationship. Crewing for a couple of lovebirds as they sail the Caribbean seems like an easy gig, but when problems develop between the couple, and Janet decides that Roger might save her vacation, it all gets tricky and erotic.
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In the 2019-2020 school year, Timber Creek will have a new Algebra 2 class provided by the University of Texas at Austin OnRamps program. This will be available to all students who have taken and passed Algebra 1 and Geometry. The course is college level, and will require a significant amount of dedication and time, much more than Pre-AP or on level Algebra 2.
“The rigor is college level and there is minimal use of a calculator, so it is recommended only for strong math students who are willing to work hard,” said math teacher, Shawna Anzaldua.
This course is completely free, and students who pass with a C will receive college credit. The credit received will be transferable to any college in the sate of Texas, but out of state schools may vary. For students in the class of 2020 or 2021, the course will bear no weight on their GPA, but for the class of 2022 it is weighted the same as Pre-AP.
“It is a great opportunity to experience college rigor and earn college credit,” said Anzaldua. “Make sure you have a strong Algebra and Geometry foundation, and are ready to work hard.”
For more information, see Anzaldua in room N231, or see flyer attached here: onramps


In English this week, we are rehearsing performance poems for Wednesday 23rd’s Eisteddfod. We will also begin exploring the language and themes of our class story ‘The Girl of Ink and Stars’.
In Maths, Year 6 pupils are applying their maths skills to a game they will create for Year 3/4. In arithmetic, we are practising calulating with fractions, and investigating Pascal’s Triangle. Pupils will also practise and sign off their targets for this half-term.


Tuesday, 19 April 2016
Saturday, 16 April 2016
We are pleased to inform you that the Department of Mathematics, Siddaganga Institute of Technology, Tumkur and Academy of Discrete Mathematics and Applications (ADMA) are jointly organizing ADMA pre-conference workshop on "Recent Advances in Signed Graphs and Applications" on June 06-08, 2016 and International Conference on Discrete Mathematics (ICDM-2016) & Graph Theory Day–XII on June 09-11, 2016 as part of its 12th Annual Conference of ADMA at S.I.T. campus. We invite you to participate in these occasions.
For further details please visit the following website: http://12ac.adma.co.in
NIT Surat is going to conduct 5 days National level Short Term Training Programme (STTP) on "Mathematical Modelling, Optimization, Fractional Calculus and their Computations in Engineering and Sciences (MMOFCCES-2016)” during June 21-25, 2016. Please bring your Laptop for practical & tutorial sessions of LaTex, Matlab, Mathematica, Maple, CPLEX, LINGO & other important softwares.
For more information please visit: www.svnit.ac.in


Mit opencourseware mathematics linear algebra
This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences. Get youtube red working mit 1806sc linear algebra, fall 2011 - duration: 11:36 mit opencourseware 188,479 views 11:36. Gilbert strang professor of mathematics and mit classes 1806 linear algebra - the video lectures are on web new videos are on mit's opencourseware. Algebra, 5th edition - mit mathematics - linear algebra is the branch of opencourseware, mit multimedia linear algebra. Support the mit opencourseware linear algebra with gilbert strang his home page is and his linear algebra lectures are on http.
Math 2270-2 linear algebra solutions for strang's book on the mit website: opencourseware course 1806 linear t benny rushing mathematics. The best mathematics opencourseware education college (mit) offers so many free mathematics courses online that it would be difficult to post linear algebra. Mit 1806 linear algebra, spring 2005 : mit opencourseware : 1806 professor gilbert strang linear algebra in mathematics (course no 18) in mit ocw.
E suas notas de aula são disponíveis no mit opencourseware (pt) gilbert strang. Linear algebra by ar vasishtha pdf mobi linear algebra | mathematics | mit opencourseware this is a basic subject on matrix theory and linear algebra. Linear algebra mit crosslinks free mathematics mit opencourseware undergraduate let us know when you did the course linear algebra. This syllabus section provides information on course goals, meeting times, prerequisites, textbook, homeowork, exams, grading, and matlab. Ver vídeo mit opencourseware 236 236 mit 1806 linear algebra, spring 2005 mit 2087 engineering mathematics: linear algebra and odes, fall 2014.Free download linear algebra and differential equations by peterson and sochacki pdf epub thu 19 apr, 2018 1/1 linear algebra | mathematics | mit opencourseware. This leading textbook for first courses in linear algebra comes from the hugely experienced mit lecturer and author gilbert strang the book's tried and tested. Read online linear algebra course notes pdf sat 05 aug, 2017 1/1 read online linear algebra course notes pdf read online linear algebra course notes pdf. One of ocw's most popular courses, linear algebra, is now available in a version designed to support independent learning. Introduction to linear algebra, 5th edition - mit mathematics - gilbert strang y x y z z ax b b 0 opencourseware (ocwmitedu and wo, 30 mei 2018 10:28:00. Awesome-math - a curated list of awesome mathematics resources skip to content features business mit opencourseware lectures on linear algebra (1806). Applets linear algebra - g strang, department of mathematics & the mit opencourseware, mit multimedia linear algebra course (text, images, videos/movies & audio/sound. Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces it includes the study of lines, planes, and subspaces. Gilbert strang's bibliography (mit opencourseware) 1806 linear algebra the mathematics of numerical analysis ams-siam park city symposium,.
Wellesley-cambridge press box 812060 wellesley ma 02482 we publish 9 textbooks in mathematics and engineering • linear algebra at mit • opencourseware. Who takes mit linear algebra watching the lectures on the mit opencourseware the one most useful and fundamental subject in all of mathematics. Linear algebra and its applications solutions linear algebra | mathematics | mit opencourseware this is a basic subject on matrix theory and linear algebra. Differential equations and linear algebra are the two crucial courses in undergraduate mit opencourseware (ocwmitedu, mathematics 18:06 in 2000 and 2014.
Unit 4: applications of numerical methods in linear algebra a witticism common among practitioners of mathematics is that a mathematical problem, to be solvable. Instructor: prof gilbert strang this is a basic subject on matrix theory and linear algebra emphasis is given to topics that will be useful in other.
Course homepage 1806 linear algebra spring 2005 course features at mit opencourseware me better understand linear algebra, and even mathematics. This is a basic subject on matrix theory and linear algebra emphasis is given to topics that will be useful in other disciplines, including systems of equations.


Functions and Constants
acos - Returns the arccosine (in radians) of a number.
asin - Returns the arcsine (in radians) of a number.
atan - Returns the arctangent (in radians) of a number.
cos - Returns the cosine of a number.
e - Euler's constant and the base of natural logarithms, approximately 2.718.
exp - Returns Ex, where
log - Returns the natural logarithm (base
log10 - The natural logarithm of 10, approximately 2.302.
log2 - The natural logarithm of 2, approximately 0.693.
pi - The ratio of the circumference of a circle to its diameter, approximately 3.14159.
pow - Returns
sqrt - Returns the square root of a number.
tan - Returns the tangent of a number.
x - Returns the square of a number.
2^x - Returns 2x , where
10^x - Returns 10x , where


The Arduino Reference text is licensed under a Creative Commons Attribution-Share Alike 3.0 License.
Pseudocode: Random number generator. 1st Random Number: 0.17434160924512265 2nd Random Number: 0.4297410090709448 3rd Random Number: 0.4828656381344487 4th Random Number: 0.13267917059488898 Remember: Every time we get a different output when we execute the program. 0 0. The length of a unique sequence of pseudo-random numbers, that is the length before the sequence starts repeating itself, is called the generator’s period. This article will describe SimpleRNG, a very simple random number generator. 1 decade ago. 1 decade ago. I used the modular exponentiation as one-way permutation and l(k) = k²-2k+1. Doubts on how to use Github? ehabtutor. Add Comment. The PRNG-generated sequence is not truly random, because it is completely determined by an initial value, called the PRNG's seed. When large samples of pseudo-random numbers are taken, each of the 10 digits in the set … That is, it may sometimes return 0.0 but will never return 1.0. 1) randomly generate number L which will be the exact length of your password. This can be accomplished by calling randomSeed() with a fixed number, before starting the random sequence. In this proceure we used table variable. The Random Number block generates normally distributed random numbers. Hardware based random-number generators can involve the use of a dice, a coin for flipping, or many other devices. In physics, an object that is in motion is said to have kinetic energy. A pseudo-random number generator (PRNG) is a program written for, and used in, probability and statistics applications when large quantities of random digits are needed. Random Integer Generator. 2. In this proceure we used table variable. There are no strict rules in writing pseudo code, so any variant mentioned below is acceptable: var rand := genRandomInt[1, 100] var rand := generateRandomInteger[1, 100] var rand := a random number between 1 and 100. rand := a random number between 1 and 100 The basic difference between PRNGs and TRNGs is easy to understand if you compare computer-generated random numbers to rolls of a die. The lcg package provides exactly that. I recently wanted to create an algorithm that could generate random fantasy names. You can use the date command to print out the number of seconds between a speciﬁed time and the Epoch, 1970-01-01 00:00:00 +0000 (UTC). Many PRNGs which are good for statistical purposes (e.g. SimpleRNG can be used to generate random unsigned integers and do… The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs. About this recipe This recipe describes a 32-bit pseudo random number generator implemented efficiently in ARM Assembly Language. » Studios . a variable named rand. A Pseudo Code generator for simple C++ programs. _ (Use the random function that was discussed in Chapter 6.) Bachelor's Degree. Copyright 1999 - 2020, TechTarget
The function requires an unsigned int value, seed, which is declared at Line 6.
Add 1 to the number. A random generator might come in handy at some point. And code using random number generators is tricky to test. Define The Array B Such That The Solution Of The System N AijX; = B; (1 Si Integer I, J, K, Real Sem, Mult Real Array ( ) For K=1 Ton-1 For I=k+1 Ton Naive. The default random number generator in 8th is a cryptographically strong one using Fortuna, which is seeded from the system's entropy provider.An additional random generator (which is considerably faster) is a PCG, though it is not cryptographically strong.. ActionScript . People use RANDOM.ORG for holding drawings, lotteries and sweepstakes, to drive online games, for scientific applications and for art and music. All the different pseudo-random number generators share the property that they in the end will repeat themselves. How to generate random numbers in programming languages and use them in conditionals. from other prob. The program should have an Integer array with 7 elements. The first parameter is number you want to list, the second parameter is the start value and the last parameter is the end value. A good deal of research has gone into pseudo-random number theory, and modern algorithms for generating pseudo-random numbers are so good that the numbers look exactly like they were really random. A random number generator, like the ones above, is a device that can generate one or many random numbers within a defined scope. Anonymous. Write a pseudocode statement that generate a random number in the range of 1 through 100 and assigns it to a variable name rand 2. Even if there was an application that would generate the pseudo-code for you, it would probably be of such poor quality that it's even harder to understand than the actual final code. from spec-i ed probability (prob.) The Mersenne Twister is a pseudorandom number generator. Put 1 into a number. Written by Ion Saliu on June 18, 2004; last update October 2012. First captured by the WayBack Machine (web.archive.org) on July 7, 2004. RANDOM.ORG offers true random numbers to anyone on the Internet. [a, b] means "a or greate… Random doubles: 0.13077348615666562 Random doubles: 0.09247016928442775 3) java.util.concurrent.ThreadLocalRandom class This class is introduced in java 1.7 to generate random numbers of type integers, doubles, booleans etc. The signal oscillates chaotically, when you combine several of these modules and XOR bits you get a truly random bit, since the jitter from each combines. That's why it's pseudo-code. Uniform random bit generators . Does one exist? Like the rand() function, the srand() function requires the stdlib.h header, shown at Line 2 in Even More Randomness. declare integer rand. (pseudo-)random number generator and includes pseudocode for many of them. $\begingroup$ Also, it should be noted that the context of the post suggests that this code is intended for a system where unsigned long is 32 bits. Design a program that generates a 7-digit lottery number. Disaster recovery as a service (DRaaS) is the replication and hosting of physical or virtual servers by a third party to provide ... RAM (Random Access Memory) is the hardware in a computing device where the operating system (OS), application programs and data ... Business impact analysis (BIA) is a systematic process to determine and evaluate the potential effects of an interruption to ... An M.2 SSD is a solid-state drive that is used in internally mounted storage expansion cards of a small form factor. Amazon SageMaker is a service that enables a developer to build and train machine learning models for predictive or analytical applications in the Amazon Web Services (AWS) public cloud. (a, b] means "greater than a and less than or equal to b". Put 1 into a number. Add 1 to the number. 10 months ago. My Request. Random number generation is tricky business. The digits in the decimal expansions of irrational number s such as pi (the ratio of a circle's circumference to its diameter in a Euclidean plane), e (the natural- logarithm base), or the square roots of numbers that are not perfect squares (such as 2 1/2 or 10 1/2 ) are believed by some mathematicians to be truly random. NextDouble returns a random number between 0.0 and 1.0 Monte Carlo simulations) are not good for cryptographic purposes. Below program explains how to use this class to generate random numbers: Answer Save. 3 Answers. The Mersenne Twister was developed in 1997 by Makoto Matsumoto and Takuji Nishimura. 8th .
int min = 1; int max =100; int a = rand(min, … You can use the date command to print out the number of seconds between a speciﬁed time and the Epoch, 1970-01-01 00:00:00 +0000 (UTC). The service has … To make the output less predictable, you need to seed the random-number generator. Most of these programs produce endless strings of single-digit numbers, usually in base 10, known as the decimal system. Write a C++ program to implement the Number Guessing Game. [a, b) means "a or greater, but less than b". The … Features of this random number generator: Generate sequence using a loop; Speed loop that lets you control the speed of random generation; History of generated numbers for both the sequence and the loop; Copy numbers to clipboard; Delete or Copy History; Create favorite random number generators; Remembers recently used random number generators A pseudo-random number generator (PRNG) is a program written for, and used in, probability and statistics applications when large quantities of random digits are needed. Using pseudocode - Create a secure password using our generator tool. ALWAYS run your simluation with more than one pseudo-random number generator. 0 1. Laga. runif: Generating Uniform random number. Risk assessment is the identification of hazards that could negatively impact an organization's ability to conduct business. set rand = random (1, 100) display rand. Each time the player enters a guess, the computer tells him whether the guess is too high, too low, or right. • RandomNumbers.BAS version 3.01 ~ October 2012 – Software, algorithms, source code for the BASIC programming language to generate true random numbers (far from pseudorandom numbers!). Although sequences that are closer to truly … Pseudo-code doesn't have to take every edge case into account. You … However, again, the existence of an algorithm to determine the digits in such numbers is used by some theoreticians to argue that even these single-digit number sequences are pseudo-random, and not truly random. Then write another loop that displays the contents of the array. Write "5 times " then the number then " is " then the product on the console. Conversely, it can occasionally be useful to use pseudo-random sequences that repeat exactly. Most of these programs produce endless strings of single-digit numbers, usually in base 10, known as the decimal system. Cookie Preferences
But it can be enhanced by working directly with bits at the cost of readability. Download randomgen.zip - 208.6 KB; Introduction. See the following example. Relevance. A suitable generator of uniform pseudo random numbers is es-sential. 6 years ago. The following formula can be used to determine a moving object’s kinetic energy: KE = 1/2mv^2. Must be in range [1..L-LL-1] It must not use any of the intended random number generation methods in your language's standard library, and produce a reasonably random integer on each call. The congruential generator is one of the most common generators. Because it is so simple, it is easy to drop into projects and easy to debug into. Loop. For sequences, there is uniform selection of a random element, a function to generate a random permutation of a list in-place, and a function for random sampling without replacement. This has given rise to the term pseudo-random for such machine-generated strings of digits. 2: Abhishek Singh Saini; Contributor No. Random number generators can be true hardware random-number generators (HRNGS), which generate random numbers as a function of current value of some physical environment attribute that is constantly … A pseudorandom number generator, also known as a deterministic random bit generator, is an algorithm for generating a sequence of numbers whose properties approximate the properties of sequences of random numbers. I've recently found out that certain generators are better than others (e.g. What I'm trying to do is make an array called "temp", and store in each of its 5 indices a unique random number (these numbers will be used later as indices to a different array). This form allows you to generate random integers. If we would get the … The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs. min: lower bound of the random value, inclusive (optional). It generates a sequence of pseudo-random numbers X with the simple formula: where M is called the modulus, a the multiplier, c the shift, and the seed. The syntax of this function is: random.randint(a,b) This returns a number N in the inclusive range [a,b], meaning a <= N <= b, where the endpoints are included in the range. I'm a rank amateur in the area of pseudo-random number generation. They are equivalent to random-number sequences for most applications, but they are not truly random according to the rigorous definition. Source code: Lib/random.py This module implements pseudo-random number generators for various distributions. Guessing Game Program Pseudocode Algorithm When the flag is clicked Declare guess, Randomnum As Variable Set guess = 0 Set Randomnum = Random number between 1-10 Repeat (Loop) until guess = Randomnum Ask user: ^Guess a number between í and í ì: _ Set guess = User answer If guess = Randomnum Then Output: ^You guessed it! The code generates random numbers and displays them. However, since Alice used time() to seed her random number generator, you should be able to ﬁnd out her key easily. Random Number Generator: Random Number Generators (RNGs) used for cryptographic applications typically produce a sequence of zero and one bits that may be combined into sub-sequences or blocks of random numbers. tics is the ability to simulate random variables (r.v.) Many algorithm s have been developed in an attempt to produce truly random sequences of numbers, endless strings of digits in which it is theoretically impossible to predict the next digit in the sequence based on the digits up to a given point. LC must be in range [1..L-2] 3) randomly generate number LU for uppercase. 1. For integers, there is uniform selection from a range. But the very existence of the algorithm, no matter how sophisticated, means that the next digit can be predicted! Returning a random "normal" name is pretty easy (ie: John, Robert, Stacy). It is basically an LFSR type structure without the flip flops, so it is a combinatorial loop that runs continuously. With table variable we saved numbers. All Rights Reserved,
However, since Alice used time() to seed her random number generator, you should be able to ﬁnd out her key easily. The tutorial gives me a random number generator function writen in pseudo-code. $ date … Suggest corrections and new documentation via GitHub. Creative Commons Attribution-Share Alike 3.0 License. Methods for generating r.v. /Pseudocode: /*generate two random numbers from 1-9 display those numbers as addition problem ask the user for an Pseudo-random number generators. Let's see our first version of a pseudo-random bit generator written in VHDL. dist. Good random number generation algorithms are tricky to invent. Pseudo-Random Number Generators Part of the postgraduate journal club series, Mathematics, UQ Vivien Challis 21 October 2008 1 Introduction Random numbers are being used more and more as part of statistical simulations. Write a pseudocode statement that generate a random number in the range of 1 through 100 and assigns it to a variable name rand. The question then becomes, Is the algorithm accurate (that is, random) to infinity, or not? The seed is often set to the computers CPU time like this: The reason why we should set the seed is to prevent getting the same sequence when running the same simulations over an over again. PRNGs generate a sequence of numbers approximating the properties of random numbers. In physics, … The most commonly used … In any case, the absolute maximum is bound to the long nature of the value generated (32 bit - 2,147,483,647). Once the player guesses the number, the game is over. Random number generation (RNG) is a process which, through a device, generates a sequence of numbers or symbols that cannot be reasonably predicted better than by a random chance.
So to generate an 'n' bit random NUMBER, we must advance the LF Shift Register by 'n' positions. Learn everything you need to know in this tutorial. The high 32 bits probably won't "randomize" as one would wish. The code generates random numbers and displays them. In both Actionscript 2 and 3, the type of pseudorandom number generator is implementation-defined. Find anything that can be improved? Loop. You may also like. These days most people are using x86-64 and compilers where unsigned long is 64 bits, so I don't think this code will work as designed. A random number between min and max-1. But computers can be programmed to expand such numbers to thousands, millions, billions, or trillions of decimal places; sequences can be selected that begin with digits far to the right of the decimal (radix) point, or that use every second, third, fourth, or n th digit. In this game the computer chooses a random number between 1 and 100, and the player tries to guess the number in as few attempts as possible. Do Not Sell My Personal Info, Artificial intelligence - machine learning, Circuit switched services equipment and providers, Business intelligence - business analytics, social recruiting (social media recruitment), Cisco IOS (Cisco Internetwork Operating System), IT strategy (information technology strategy), SAP FICO (SAP Finance and SAP Controlling), PCI DSS (Payment Card Industry Data Security Standard), SOAR (Security Orchestration, Automation and Response), Certified Information Systems Auditor (CISA), protected health information (PHI) or personal health information, HIPAA (Health Insurance Portability and Accountability Act). In C its called srand(). distributions (dist.). Add Random Numbers To Listbox in C# Generate 10 random numbers between 1-100 in C# Generate Random Number in C# Generate Random Number in C# WinForm How to Add Numbers in a ListBox in C#. -- and because no one can answer such a question definitively because it is impossible to travel to infinity and find out, the matter becomes philosophical. Write "5 times " then the number then " is " then the product on the console. Note that we may get different output because this program generates random number in range 0 and 9. A uniform random bit generator is a function object returning unsigned integer values such that each value in the range of possible results has (ideally) equal probability of being returned.. All uniform random bit generators meet the UniformRandomBitGenerator requirements. Several different classes of pseudo-random number generation algorithms are implemented as templates that can be customized.
Good random number generation algorithms are tricky to invent. For cryptographic purposes the generated numbers need to be unpredictable: from any number of generated numbers it should be impossible to gain information on how they were generated. This page discusses many ways applications can sample random content by transforming the numbers produced by an underlying source of random numbers (such as a pseudorandom number generator [PRNG] or another kind of random number generator [RNG]), and offers pseudocode for many of these methods. Code implementing the algorithms is tricky to test. Random number generators can be hardware based or pseudo-random number generators. all depend on the uniform random number generator. This is exactly what a real pseudocode generator should do! The Random class of .NET class library provides functionality to generate random numbers in C# The Random class has three public methods – Next, NextBytes, and NextDouble. It is by far the most widely used general-purpose PRNG. As the word ‘pseudo’ suggests, pseudo-random numbers are not The Payment Card Industry Data Security Standard (PCI DSS) is a widely accepted set of policies and procedures intended to ... Risk management is the process of identifying, assessing and controlling threats to an organization's capital and earnings. The first parameter is number you want to list, the second parameter is the start value and the last parameter is the end value.
Many numbers are generated in a short time and can also be reproduced later, if the … Hence, in this tutorial we will first make and test a random bit generator using an LFSR, and then, in later chapters, we will activate the LFSR 'n' times to generate a random number. 3. The details It is often necessary to generate pseudo random numbers, and the most efficient algorithms are based on shift generators with exclusive-or feedback (rather like a cyclic redundancy check generator). Write a loop that steps through the array, randomly generating number in the range of 0 through 9 for each element. Now the aim is to build a pseudo random number generator from scratch! This form allows you to generate random passwords. C.E.O. Generate random integers (maximum 10,000). This procedure generates random unique numbers between two numbers. The function returns a random number in the range [0.0,1.0). Generate Unique Random Numbers In Sql Stored Procedure. Write a solution to generate a random number. 4 views This procedure generates random unique numbers between two numbers. About Scratch; For Parents; For Educators; For Developers; Credits; Jobs; Press There are two basic classes: deterministic and nondeterministic. My Requirements. If you wrote it in Plain English “pseudocode” like this… To run: Start up. Part 1: The Integers. The random function generates pseudo-random numbers. A PRNG starts from an arbitrary starting state using a seed state. About. Its name derives from the fact that its period length is chosen to be a Mersenne prime. It gets 3 parameters. Other answers talked about “generating random numbers” and other stuff like that. Don't get me wrong, that's all [extremely] important, but not for this question. Code implementing the algorithms is tricky to test. It gets 3 parameters. This document uses the following notation for intervals: 1.
In physics, an object that is in motion is said to have kinetic en … read more. Pseudo-code typically omits details that are not essential for human understanding of the algorithm, such as variable declarations, ... Write a pseudocode statement that generate a random number in the range of 1 through 100 and assigns it to a variable name rand 2. The intention is to convey the basic idea behind an algorithm. Random number engines generate pseudo-random numbers using seed data as entropy source. + 1 ) through 9 for each element numbers and displays them the aim is to build a pseudo number! End will repeat themselves in computer programs that it can be accomplished by calling randomSeed ( ) function separate for! Should have an integer array with 7 elements have to do is load the package options... Not a random number in range [ 1.. L-2 ] 3 ) randomly generate number for. Start up 1 to N, use floor ( ( random * N ) + 1 ) randomly number... Object that is, it is completely determined by an initial value, inclusive ( optional ) the. Alike 3.0 License Twister was developed in 1997 by Makoto Matsumoto and Takuji Nishimura if needed Stacy ) be to... Idea behind an algorithm `` a or greater, but not for question... On July 7, 2004 ; last update October 2012 common generators should!... Guesses the number then `` is `` then the number, before starting the random that! Is completely determined by an initial value, inclusive ( optional pseudocode for random number generator the srand ( ) a! Object that is in motion is said to have kinetic en … read more 've... This has given rise to the term pseudo-random for such machine-generated strings of single-digit numbers usually... First captured by the WayBack Machine ( web.archive.org ) on July 7,.. Generated ( 32 bit - 2,147,483,647 ) negatively impact an organization 's ability to simulate random variables (.! Into projects and easy to drop into projects and easy to drop into projects and easy to debug into pseudo! A well-tested algorithm and is quite efficient get me wrong, that 's [... Be the exact length of your password generator uses a well-tested algorithm and is efficient. Takes No arguments numbers are not good for statistical purposes ( e.g classes: deterministic and.! An FPGA be the exact length of your password Note that we may get different output this! 0.0,1.0 ) run: Start up must be in range 0 and 9 you compare random... To produce sequences of random numbers: 1 to Python code starting random... Sophisticated, means that pseudocode for random number generator next digit can be used to determine a moving object s! ] 3 ) randomly generate number LU for uppercase many purposes is better than the pseudo-random number is... To do is load the package with options if needed out that certain generators better! ( k ) = k²-2k+1 random according to the rigorous definition and l ( )!, randomly generating number in the range of ( -1, 1 ) program generates random numbers ” other. A suitable generator of uniform pseudo random numbers is es-sential a pseudo-random bit generator written VHDL! In base 10, known as the decimal system the flip flops, it. Exponentiation as one-way permutation and l ( k ) = k²-2k+1 data as entropy source text is under. Random unique numbers between two numbers bound to the long nature of the random value, seed, is! Starts from an arbitrary starting state using a random-number generator is tricky invent... To rolls of a dice, a very simple random number generators is tricky invent... Observing the outcomes of a dice, a very simple random number generation algorithms are tricky to test pseudo number! Derives from the pseudocode shown above to Python code '' as one would.. Computer programs source code: Lib/random.py this module implements pseudo-random number generators can involve the use of a,. Engines generate pseudo-random numbers are not truly random according to the data type of the most used! Flipping, or right vs rand in C++ ) and learned what bias... Purposes is better than others ( e.g are equivalent to random-number sequences most... Determined by an initial value, seed, which for many purposes better... Object that is in motion is said to have kinetic energy and is quite.. Intention is to build a pseudo random number generator function writen in pseudo-code enhanced by working directly with bits the! Know in this tutorial.. L-2 ] 3 ) randomly generate number l which be! Classes of pseudo-random number algorithms typically used in computer programs it in Plain English pseudocode! < - random random takes No arguments value is stored in physics an! ) means `` greater than a, but less than b '' ( ) function online games, scientific! Program should have an integer array with 7 elements to determine a moving object ’ s kinetic energy generating. This class to generate uniformly distributed random numbers in programming languages and use them in conditionals pseudocode ” like to! High 32 bits probably wo n't `` randomize '' as one would wish the code generates random numbers es-sential. That works on an FPGA each time the player guesses the number, before starting random... Two basic classes: deterministic and nondeterministic said to have the algorithm accurate ( is... Function requires an unsigned int value, called the PRNG 's seed -Cumula End for X distributions. Generation algorithms are tricky to invent physical process k ) = k²-2k+1 License. At Line 6. '' as one would wish compare computer-generated random numbers to anyone on the console normally...


Taking up mathematics and statistics is a challenge that not many students are up to. This subject is challenging, but the payoff is high: a career in this field is promising, with lots of career options and challenges. Furthermore, math is necessary for many fields, from biochemistry to physics.
As such, it is a discipline that many students enjoy. So, if you’re a high school student and have a knack for statistics, you might want to pursue a degree in it. Whether you’re pursuing a career in economics or finance, you’ll be glad you studied mathematics and statistics.
This field deals with companies and consumers and relies on economic models to make decisions. Statistical methods are used by Actuaries, Risk Managers, and other professionals in the insurance and pension industries.
These professions use math and statistics to analyze data and make important decisions. You can even study your future while using these methods.
Keeping an Open Mind When Studying Math and Statistics
While learning mathematics and statistics, be sure to keep an open mind. There’s always room for improvement. The best way to improve your skills is to apply what you’ve learned. Having a broad background in statistics will help you gain a wider perspective and make better decisions.
You can also apply your knowledge in many fields, including business. You can find great careers in mathematics and statistics, as the field is expanding. The two most popular areas of mathematics and statistics are business and finance. These fields rely heavily on companies and consumers to make decisions and determine how to maximize profits.
The principles of game theory are used to study the behavior of individuals and companies. In insurance, Actuaries and Risk Managers use statistical methods to study insurance and pension schemes. And it’s worth noting that these subjects require the use of statistics and math. And in any field, the tools and knowledge of these subjects are indispensable.
A Closer Look at Applications for Math and Statistics
The applications of statistics and mathematics can be as varied as they are varied. For instance, in the field of finance, these subjects depend on the behavior of consumers and companies. In business, statisticians use game theory to study decision processes.
In the natural sciences, these students can analyze the results of insurance and pension schemes. However, the use of statistics is limited to business. It’s also widely used in the natural sciences. The techniques in studying statistics and math are not limited to these fields.
The use of statistics and mathematics are widely used in finance. Its application is used to understand consumer behavior and how companies make decisions. Applied mathematics is used in operations research and engineering. While the use of math and statistics in finance is widespread, there are several different types of applications in these fields.
In particular, they can be useful in the field of health care, banking, and insurance. There are some applications of statistics in the humanities. In economics and statistics, the focus is on understanding the behavior of consumers and businesses. It is often important to understand the process behind economics to make the right decisions.
Uses of Modified and Traditional Mathematical Formulas Today
The methods used in the field of finance can involve many mathematical formulas. The main goal of these methods is to understand the data and then draw conclusions based on it. A good understanding of the data is critical to the analysis of statistical studies. If you want to develop a career in statistics and math, you must know how to think outside the box.
In economics and statistics, the focus is on people. In the case of economics, the goal is to determine what is the best strategy for a company. It is important to consider the needs of these customers and their desires. In other words, if you want to increase sales, you can make more informed decisions.
You will be able to make good decisions based on the data you have. In addition, it will be easy to predict the future. Statistics and math are not easy subjects. It is important to understand that it involves a lot of mathematical formulas. The goal of math and statistics is to understand the data. If you’ve heard of wiley plus class help, this detailed insight should help you use the tool more properly.
In order to achieve this, you must have a thorough understanding of how it works. This means that you must learn how to interpret the data to make the right decisions. Therefore, it is crucial to know how to interpret the data. This can be done with the help of computer programs and calculators.


The Victorian Curriculum Mathematics curriculum provides students with carefully paced, in-depth study of critical skills and concepts. It encourages teachers to help students become self-motivated, confident learners through inquiry and active participation in challenging and engaging experiences. For more detail on Maths in the Victorian curriculum, visit this Victorian Curriculum webpage.
The nature of the Mathematics program at CCPS is for each child to actively participate in a wide range of skills, which will include:- number skills, problem solving, applying maths to everyday problems, geometry, measurement, (weights, length, volume, time, money), estimation and approximation, alertness to reasonable results, reading graphs, prediction and language of maths. In the upper grades, Times-tables are an important facet to help reinforce and consolidate all the four processes:-
addition, subtraction, division and multiplication.
At Clifton Creek Primary School, teachers believe there are underlying concepts that need to be firmly in place to ensure all students are successful learners of Mathematics.
We believe that children learn Maths by:
- Building on prior knowledge
- Understanding the ‘why’ part of Maths.
- Being exposed to strategies and concepts taught in a variety of ways.
- Developing a strong understanding of number, as it is the foundation on which all other topics are taught.
- Being given opportunities for self-discovery.
- Articulating the process to ensure new knowledge can be applied across a variety of settings.
- Automatically recalling fundamental number facts.
- Consolidating knowledge (for example sharing their Maths experience with parents and assisting other learners)
Teachers’ core knowledge is paramount. Teachers also know each student and plan/implement a Maths program that is based on quality not quantity. The role of the teacher includes:
- Creating a Maths rich learning environment.
- Explicitly teaching Maths vocabulary.
- Using concrete materials when introducing new concepts and strategies.
- Providing concrete materials for any students who need them.
- Giving feedback that is meaningful and instant.
- Providing opportunities to practise and consolidate knowledge.
The Victorian Curriculum English curriculum provides students with the skills to analyse, understand, communicate with and build relationships with others and with the world around them. For more detail on English in the National curriculum, visit this Victorian Curriculum webpage.
The Literacy program at CCPS includes all modes of language (listening, reading, speaking and writing) as inseparable and integrated parts of all other curriculum programs and aims to develop each child’s interest, enjoyment and competence in using language to receive and express thoughts, ideas, feelings and knowledge. There is a balance in the use of the four language modes, and an attempt to engage all students in using each mode on a planned basis. Children are continually challenged to use the four modes for productive ends.
In both the Junior and Senior Rooms, we have a two hour uninterrupted Literacy Block each morning. Take home readers continue from prep to Year 6 and your daily signature after listening to the reading is expected, in addition to weekly spelling practice and testing.
Other Areas of the Curriculum
At CCPS we have a strong specialist program that covers Science and Technology, The Arts, Health and PE, Humanities (History, Geography and Civics and Citizenship) and Languages (Auslan)
Please click on the link below to see our Curriculum Frameworks Policy
Curriculum Framework Policy


Some hints on old-fashioned navigation
Horizontal sextant angles
Some explanations on the web are either very verbose or very complicated, if not wrong. In essence, to fix your position, you need three landmarks (we’ll call them A,B and C) – With sextant (horizontally), measure the angle between two of them. Subtract this angle from 90 degrees to derive either a positive or a negative number. On your chart, draw a baseline between the two landmarks (A and B) and mark off that derived angle (at each landmark) – positive numbers towards you or negative numbers away from you. Mark where the resulting lines intersect. With compasses, draw an arc centred on that intersection and passing through both landmarks. Do the same with the other pair of landmarks (B and C). Where the arcs intersect is where you are. To confirm you did it right, do the plots again using A and C and the three arcs should intersect at the same place (which is where you are).
Angle measured between landmarks A and B is 40 degrees, so angle to mark off from each end of the baseline AB is 50 degrees (90-40). This number being positive, draw lines with angles from baseline 50 degrees towards you. With compasses centred on this intersection draw arc through A and B.
The angle between B and C is 80 degrees, so angle from baseline BC = 10 degrees, again towards you. From intersection (as the centre) draw arc through B and C. Where arcs intersect is your position.
Confirmation (not shown): Angle between A and C is 120 degrees, so angles from baseline AC = -30, this time draw these lines at angles 30 degrees away from you (because of the negative number). Draw the third (confirmatory) arc.
Here is a verbose but correct explanation on YouTube
It is possible to perform the same process using a hand bearing compass if you are able to get precise relative bearings but uncertain of the magnetic variation or deviation hence doubtful result from plotting standard cross-bearings.
This is the method for estimating position through knowledge of speed through the water (or distance measured by log) combined with tidal flow. It is most valuable when landmarks are not available to plot positions. When a single landmark is visible, dead reckoning can be combined with bearings of the single landmark to produce a “running fix”. The origin of the term “dead” is obscure but is not thought to be an abbreviation of “Deduced”.
For basic dead reckoning, plot your last known position (A) on the chart and note time. Maintain a record of speed and direction (or distance through water by log). After a known interval, (say one hour) estimate distance and direction traveled through the water and mark this (B) on the chart. From that position also estimate distance and direction carried by the tide and plot that from B. The combination (as a vector diagram) gives the estimated position at the end of that time period. This then forms the starting point for the next interval.
If you only have one landmark visible and have a reasonable idea of your speed and direction (by dead reckoning) you can estimate your position by two successive compass bearings on the single landmark. First take a compass bearing of the object and plot this on the chart. Then after an appropriate interval, estimate your distance and direction traveled. From any point on your first bearing line plot this distance and direction, and draw a second line through the resulting point, parallel to the first bearing line. At the same time, take a second bearing of the object. Plot this second bearing and where it intersects the transposed first one is where you are.
Some common ‘rules of thumb’
I believe these work only in the absence of significant cross tide, and provided the estimate of course made good allows for any following or contrary tidal stream.
“Double the angle on the bow”
This can be done with compass or a pelorus. The rule is that if you estimate the angle between an object (e.g. lighthouse) and the bow of the vessel (say it’s 25 degrees) and you estimate your course made good between then and when that angle has doubled (to 50 degrees in this example) then the distance you have travelled equals your distance from the object.
This and other rules of thumb are described in this link.


Mathnasium franchise owners operate learning centers that provide math instruction using the Mathnasium system of learning. Is the Mathnasium franchise a great business to own? What should those considering this investment know about Mathnasium and its franchise opportunity? See what others are saying and share your opinions below. (UnhappyFranchisee.Com) Mathnasium franchise owners provide math instruction […]
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What is Math Classroom Challenge?
Math Classroom Challenge is an educational game in first person and subjective view, with the mission of solving the different random mathematical exercises proposed. To do this, you have at your disposal a water hose, with which you must water the numbers and the appropriate solutions. All this in a safe environment to learn mathematics in a fun and enjoyable way. It's also the kids version of Math Combat Challenge.
Math Classroom Challenge is designed for children over the age of four. In the game the player can do several activities: learn the numbers that fly, learn how to throw the water, solve the static panels looking for the corresponding numbers, and solve the dynamic panels that appear suddenly with three solutions. Always throwing the water from the hose to the correct solution.
In the game there is simply a parameterizable timer, and you can choose the type and complexity of mathematical operations, from sums to equations. The errors of the dynamic panels are counted, but they can be reduced if the flying dragons get wet. Although caution, sometimes this can give opposite results if used too much.
It's available on iOS and Windows, and it also offers an augmented reality version for playing on the street, at the beach, or wherever you want, called Math Street Challenge. The Steam version is now finished, both in standard monitor game and virtual reality with the Oculus Rift glasses.
Math Classroom Challenge is a game for the whole family, which aims to make young people come into contact with mathematics in a fun and entertaining way.
"Math & Rocks", the new free Scenery now available on Steam
We are proud to inform that the new Math Classroom Challenge Scenario for Windows+monitor and for Oculus Rift (one build for both), "Math & Rocks", is now available on Steam as a Scenario at no extra cost. This is not a DLC, just download version 1.50 and it's done. You'll see a new button to access the new area.
Now you're a moon geologist!
Probably you've heard of the experimental fusion reactors that will provide humanity with lots of energy. It's the power of the Sun to be used for our development as societies. But this reactors need Helium 3. And where can you find Helium 3? On the Moon.
New features of Math & Rocks
In this scenario, set on the Moon, you will have to perform the same tasks as in the other scenarios. But you'll also have to collect the rocks that fall on the moon. To do this, throw water on the rocks, and a report will indicate its chemical composition, and also, if it has water and/or helium 3.
The rocks will go directly to the moon rock depot. Water is important for the maintenance of the moon base. Helium-3 is important for the fusion reactors of the Moon and on Earth.
From time to time, a large transport ship will arrive at the rock repository to collect and carry them to Earth along with helium 3, which will be used in the planet's fusion reactors.
The points accumulated by obtaining the rocks are independent of those obtained by mathematical problems. You'll have to decide what to give priority to, your spirit as a geologist or mathematician. At the end, the statistics will show you the number of rocks achieved, their points, and the helium.
This is the future of humanity
This is a game, but we think soon it will become a reality. And we want people to know that there is a new revolution in process when talking about energy. Welcome to a new era of humanity. The era of the fusion reactor. The Moon and its resources are the future of humanity.
For more info, there is a good article about Helium 3 you can find here.
Today we are pleased to announce that the Windows/Oculus version of Math Classroom Challenge is now available on Steam. Math Classroom Challenge is designed...
Math Street Challenge, the Augmented Reality version of Math Classroom Challenge (iOS, Windows), has been released, and is now available at the App Store...
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Maths Lab Maths lab with a wide range of mathematical tools Previous Play School February 18, 2020 Next Transport February 18, 2020 2 Comments on Maths Lab Veda December 3, 2021 at 7:06 pm Whoa! This blog looks just like my old one! It’s on a totally different subject but it has pretty much the same layout and design. Outstanding choice of colors! Also visit my blog post – Gretchen Kristin December 4, 2021 at 12:01 am Aw, this was a really nice post. Taking a few minutes and actual effort to generate a good article… but what can I say… I procrastinate a whole lot and don’t seem to get nearly anything done. Feel free to surf to my web page Elma Add Comment: Cancel ReplyYour email address will not be published.


MR [Ho12] H. Hofer, Arnold and symplectic geometry , Notices Amer. Hofer and D. Hofer , K. Wysocki , and E. Zehnder , Finite energy foliations of tight three-spheres and Hamiltonian dynamics , Ann. Differential Equations 20 , no.isunmunacomp.cf/tree-trimming-service-start-up-sample.php
AMS :: Transactions of the American Mathematical Society
Differential Equations 25 , no. With a supplementary chapter by Katok and Leonardo Mendoza. MR [Ko57] A. Noordhoff N. Translated from the French original by Philippe Mazaud. MR [Ma86] John N.
Dynamics and bifurcations
J; Annals of Mathematics Studies, No. MR [Ne77] Walter D. Solutions doublement asymptotiques.
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Periodic solutions of the second kind. MR [Po12] H. Palermo 33 , MR [Sm67] S.
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The slope formula is (y2-y1)/(x2-x1).
So for this graph I chose these points: (-1-3)/(2-0) this would give you -4/2 which means that the slope is -2. It is negative because the y value is decreasing as you move left to right (as the x value increases).
This line is linear because if I put different numbers in the slope formula the slope stays the same. For example, (-3-5)/(3-(-1)) which would give you -8/4 which is still -2. Therefor the line is linear.Â
https://www.expii.com/t/slope-intercept-form-from-a-graph-examples-practice-4362Links to an external site.
https://chem.libretexts.org/Courses/Lumen_Learning/Book%3A_Microeconomics-1_(Lumen)/03%3A_1-_Economic_Thinking/3.08%3A_Reading-_Interpreting_Slope#:~:text=A%20negative%20slope%20means%20that,to%20right%2C%20the%20line%20fallsLinks to an external site.


Fractal comes from the Latin word fractus (translated as ‘fractured’) and it refers to any irregular, ‘fractured’ looking shape. The term was coined by Benoit Mandelbrot, the IBM mathematician who first produced computer-generated images of fractals and mathematically interpreted nature in his book The Fractal Geometry of Nature. The most famous computer-generated fractal shape is the Mandelbrot set, related to the Julia set, and its infinite detail and depth can be described by a very simple equation. A value is fed into the equation and the result is then fed back into the equation – it is this recursive nature of the equation which leads to the infinite nature of the fractal image.
It is interesting that fractals have existed in nature, yet no-one paid any real, scientific attention to them until the 1980s. This goes to show that scientific and mathematical breakthroughs heavily depend on circumstance. Fractals in nature could only really be understood, mathematically, once computers were powerful enough to generate fractal images. This is not to say though that an essential feature of fractals, self-similarity, had not been understood in the past. Self-similarity is when the parts of a shape resemble the whole shape or are a copy of the whole shape. The Cantor Set and the Koch snowflake are prime examples of this.
In fact, some artists have even used self-similarity in their art; for example, the Japanese artist Hokusai used the repeating pattern of waves in his well-known painting The Great Wave Off Kanagawa.
A lot of religious art, particularly art from Eastern religions, make use of self-similarity and bear some similarities to fractals. Tibetan thangka paintings would be a good example of this.
Fractal geometry seems to act as a blueprint for many living things. In nature, fractals are everywhere. The centre of sunflowers, pine cones, ferns, the shape of lightning and river meanderings, the branching of trees, veins and blood vessels, lungs, and the countless other forms of other countless plants and animals. It has been said that nature has exploited fractal geometry because it is the most efficient way for something to grow or because it is the easiest way to increase surface area (making it easier for the lungs to absorb oxygen, for example).
My favourite example of a fractal in nature is the one that most resembles a computer-generated fractal, called the Romanesco broccoli. It is easy to see the repeating pattern of cones. As a whole, the cauliflower is a large cone, but at any point is another cone, which contains cones within cones etc. It’s dizzying. But if you want to appreciate how infinite complexity can arise from simple rules, watch videos of ‘fractal zooming’ on YouTube.
The study of fractals in the 80s and the later computer-generated images of the Mandelbrot set spawned a whole new type of art called fractal art.
It’s interesting that a kind of mathematics, belonging to a kind of science (the science of chaos) would lead to a new aesthetic appreciation of fractals, shapes which have always existed in nature. Perhaps the psychedelic art of the 60s though did pre-empt this in some way, since tie-dye and kaleidoscopic art is very similar to fractal art. It is also supposed to be very common to see images of fractals under the influence of LSD, psilocybin, mescaline and DMT.
This seems pretty strange. How could a drug make you see an image of a fractal? Does the drug make your visual system recursive, so that shapes and colours are fed into themselves, eventually producing a fractal image? If that’s what happens, how and why does the drug do this? High doses of these drugs can make users feel connected with nature, so maybe seeing fractals is part of the visual aspect of that experience, since fractals do have their basis in nature itself.
Fractal geometry now has a wide-range of applications. They are being applied to computer chips so that they can store more information and in computer-generated landscapes for films such as Star Wars and Star Trek. It was only because of fractal geometry that computers were able to generate images of mountains and forests which had that realistic, fractured, irregular shape. There are many other useful applications in video game design, engineering, medicine and other areas of technology. Fractal geometry is a very recent kind of geometry so its implications for the future are not clear.
It may even be relevant to physics and our view of reality. Arthur C. Clarke (author of 2001: A Space Odyssey), in a discussion with Carl Sagan and Stephen Hawking (which is on YouTube) asked Stephen Hawking if the fundamental nature of reality could be fractal. In other words, if we keep zooming deeper and deeper into matter, will we reach some smallest, fundamental particle or string (if string theory becomes verified in the future) or will the zooming go on forever? Hawking dismissed the idea by saying that the deepest level of matter is the Planck length – nothing can be smaller than this length.
But maybe as particle colliders become more sophisticated, it will become apparent that material objects are like fractals, in that they are finite in extent, but they are infinite in depth. In other words, the object takes up a limited amount of space, but the depth of the object is never-ending. You could zoom into it forever. Even if this does not turn out to be true, it’s still a fascinating fact that fractals are both finite and infinite in this way.