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savemyexams.com
https://www.savemyexams.com/a-level/maths/edexcel/…
Modulus Graphs - A Level Maths Revision Notes - Save My Exams
Learn about sketching the graphs of modulus functions for your A level maths exam. This revision note covers the key concepts and worked examples.
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desmos.com
https://www.desmos.com/calculator/bjtt1dx396
Modulus Function | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
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johndcook.com
https://www.johndcook.com/blog/2016/02/23/graphs-a…
Graphs and square roots modulo a prime - John D. Cook
A simple, brute force way to tell whether a number is a quadratic residue mod p is to square all the numbers from 1 to p − 1 and see if any of the results equals your number.
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mathpages.com
https://www.mathpages.com/home/kmath291.htm
Squares in Arithmetic Progression (mod p) - MathPages
It's well known that there are no four squares in arithmetic progression among the integers, but there does exist a non-trivial arithmetic progression of four or more squares (i.e., quadratic residues) modulo p for each prime p greater than 11.
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uchicago.edu
https://www.math.uchicago.edu/~may/VIGRE/VIGRE2007…
Graph Theory - University of Chicago
Prove that for every oriented graph, D, there exists a vertex whose out-degree at least doubles when you square the oriented graph. For an algorithm to create this squared graph, one begins by taking a list of the vertices.
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unacademy.com
https://unacademy.com/content/jee/study-material/m…
Graph of Modulus Function - Unacademy
The graph of the modulus function shows the relation between x and f (x). This article tells you about solved examples of modulus.
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desmos.com
https://www.desmos.com/calculator?lang=en-GB
Desmos | Graphing Calculator
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
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savemyexams.com
https://www.savemyexams.com/igcse/further-maths/ci…
Modulus Functions | Cambridge (CIE) IGCSE Additional Maths Revision ...
In both cases, graphs of the left hand side and right hand side drawn on the same diagram will reveal the number of intersections of the graphs (and so the number of solutions to the equation)
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desmos.com
https://www.desmos.com/calculator/3sqxoy3k9u
square-mod | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
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savemyexams.com
https://www.savemyexams.com/a-level/maths/cie/20/p…
Sketching Graphs of Modulus Functions
Revision notes on Sketching Graphs of Modulus Functions for the Cambridge (CIE) A Level Maths syllabus, written by the Maths experts at Save My Exams.