Modulus function patrickjmt. Jul 5, 2025 · Revision notes on Sketching Graphs of Modulus Functions for the Cambridge (CIE) AS Maths syllabus, written by the Maths experts at Save My Exams. How to find and understand the domain and range of inverse functions. Modulus Functions Related Topics: More Lessons for A Level Maths Math Worksheets A collection of videos, activities and worksheets that are suitable for A Level Maths. We break down the definition The modulo function represents the remainder from dividing two different positive numbers. Jan 5, 2011 · Thanks to all of you who support me on Patreon. [1] For example The modulus function finds applications in various fields, such as finance and physics, to analyze magnitude without considering positive or negative values. M | Important Concept IOQM Math Oct 24, 2025 · GoogleSQL for BigQuery supports mathematical functions. Pearson (Edexcel) A level Maths, Pure Year 2 Textbook (2. Now, you must be aware of the fact that the absolute value of a number is determined by its distance from zero on the number line. Why is modular multiplication important in cryptography? In this video we cover Functions - Basics, Quadratics, Polynomials, Radicals, Rational, Modulus (Sketch, Domain & Range). In this article, we will learn about the modulus function definition and its properties, its domain and range, and how to apply this function. 5, Analyzing graphs of functions Basic properties of exponents, negative exponents, and rational exponents Oct 24, 2025 · GoogleSQL for BigQuery supports mathematical functions. In this video, @patrickjmt explains how to find the derivatives of trigonometric functions. Jun 19, 2025 · Revision notes on Solving Equations with Modulus Functions for the Cambridge (CIE) A Level Maths syllabus, written by the Maths experts at Save My Exams. It is often referred to as "clock arithmetic. 4, Functions Video 1: Difference quotient; Profrobbob, 14:55 Video 2: Pre-calculus - evaluate the difference quotient; Mysecretmathtutor, 3:49 Video 3: The difference quotient - example 1; patrickJMT, 3:19 Video 4: The difference quotient - example 2; patrickJMT, 4:34 Video 5: Derivative using difference quotient; Mario's math tutoring, 9:41 Sect. The graph of the modulus function shows the relation between x and f(x). How do I go about doing that using modulo operation? Using C++, the code below works for displ In this video, Sameer Chincholikar will be discussing about Modulus Function from Functions for JEE Main 2022. Access the Full Video herehttps://w Hello, I was wondering if there is a modulus (remainder) function on Casio FX-991CW. Functions: Adding and SubtractingIn this video I discuss adding and subtracting functions. In mathematics, in the field of algebraic number theory, a modulus (plural moduli) (or cycle, [1] or extended ideal[2]) is a formal product of places of a global field (i. [1] For example Jul 8, 2013 · The modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the operation. , m gives the number of multiples of a that are "thrown out"). Watch the entire video to learn more about it Jul 12, 2025 · Modular Multiplication - FAQs What is the modulus in modular multiplication? The modulus is the number at which values "wrap around" in modular arithmetic. As you can see, the time values wrap after reaching 12, and 9 + 4 = 13 is computed as the remainder of 13 when divided by 12. Understand the modulus function with clear definitions, formulas, graph, derivative, properties, domain and range. Definition: Modulo Let m ∈ Z +. May 13, 2011 · You da real mvps! $1 per month helps!! :) / patrickjmt !! Composition of Functions. Representing modulus functions in Math To represent modulus functions, we use the symbol | |. In this video, I show how to What is this mysterious modulus function? How do we define it? How do we plot it? What is its domain and range? Let's find out. The modulo division operator produces the remainder of an integer division which is also called the modulus of the operation. The modulo operation returning only non-negative results, Rob referred to this as "mod", is called Euclidean modulo in this answer. Later, as learning progresses, they use sketched graphs to solve equations involving a modulus function. Finding a Limit of a Piecewise Function by Graphing Patrick JMT 170K views14 years ago Here there are bunch of questions related to linear functions: graphing, finding slope, x and y intercepts, solving linear equations and inequalities, finding equations of linear functions given conditions. Jul 5, 2025 · 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. Here we look at finding (f + g) (x) as well as ( f - g ) (x) and ( Returns the remainder of dividing x by n. The math/base library provides additional functions for random number generation without the limit of 4294967087. This article tells you about solved examples of modulus. It defines the range within which the result must lie. Modulus Function Graph Now let us plot a graph for modulus function. The concept is widely 1 Sketch the curves of these functions, indicating the coordinate of any axes intercepts. Patrick JMT's Mathematics Video Tutorials -On his YouTube Channel, Patrick states that his videos are "intended to be a supplement to what a (hopefully) good teacher is providing you with in the class room. Categories Mar 11, 2013 · PatrickJMT - Math Help 3/11/2013 0 Comments Submitted & Reviewed by Andrew Galsim PatrickJMT is a resource for students struggling with, or seeking to further advancement in their mathematics career. For example | 3 | = 3, | 0 | = 0 and | 5 | = 5 This is sometimes also called the absolute value function. Topics are Definition of Modulus function,properties,graph,domain ,range,solved examples Jul 12, 2025 · In C or C++, the modulo operator (also known as the modulus operator), denoted by %, is an arithmetic operator. Download a free PDF for Modulus Function, Properties of Modulus Function to clear your doubts. Oct 17, 2024 · Multiplying two complex numbers multiplies their magnitudes and adds their angles. Sketching ALL THE MODULUS FUNCTIONS You Need To Know | A Level Maths NeilDoesMaths 61. Go to http://www. Howdy! I've been creating free Mathematics videos since 2007 and continue to do so. Let x be variable whose values lies from -3 to 3, which is the domain of the graph. . Jul 24, 2025 · Learn about the modulus function for your IB Maths AA course. We break down the definition This page contains notes on Modulus Function (Absolute Value Function). Learn how |x| works with examples and applications. Domain and Range is calculated through visually observing the graph. a is congruent to b modulo m denoted as a ≡ b (m o d n), if a and b have the remainder when they are divided by n, for a, b ∈ Z. So, |–1| = 1 |–2| = 2 |1| = 1 |2| = 1 |0| = 0 Let us rewrite the function Let’s check for different values of x For x = –1 x < 0 So, f (x) = – x f (x) = – (–1) = 1 For x = –2 x < 0 So, f (x) = – x f (x) = – (–2) = 2 For x = 1 x > 0 So, f (x) = x f (x) = 1 For x = 2 What is this mysterious modulus function? How do we define it? How do we plot it? What is its domain and range? Let's find out. Modulus Function In general, a modulus function is a function of the form y = |f (x)|. Modulus functions Understanding the modulus function Numbers can be positive or negative (or zero). In addition, label the unreflected and reflected parts of the graph with a function not involving the modulus brackets. 7 modulo 2 is 1 because 7/2 leaves a remainder of 1. The modulus of a congruence a=b (mod m) is the number m. Jun 26, 2023 · MODULUS Function in 100 Minutes😱 | Complete One Shot With PYQ's⚡️| JEE Main & Advanced Inequality 01: Modulus, Triangular, A. In Example 10a, the non-modulus function of (x + 1) returned a positive value for both values of x , so the two graphs met at two points, giving two solutions. When f (x) ≥ 0, then |f (x)| = f (x), however when f (x)<0, then |f (x)| = -f (x) So what is the domain and range of |f (x)|? Solving equations with modulus functions Worked Examples Solve the equation |2x-1| =5 Solve the equation… Jul 18, 2025 · Modulus functions lead to positive and negative solutions Trigonometric functions lead to infinite solutions using their symmetries Take care when you apply many-to-one functions to both sides of an equation as this can create additional solutions which are incorrect For example: squaring both sides has one solution has two solutions and Mar 20, 2016 · Thanks to all of you who support me on Patreon. The answer calls the behavior of Java's remainder operator % (truncating towards zero) truncated modulo. For example, when computing the time of day In computing and mathematics, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the operation. Syntax MOD (x, y) Graph of Modulus function y=|x-1|+|x+3|🔥🤔 #modulus #ytshorts #mathematics #maths @MrOnkoshorts here I have explained the way to draw graph of modulus func In this video, we are going to learn about modulus functions, how to graph them and solve the equations related to modulus or absolute value. What is this mysterious modulus function? How do we define it? How do we plot it? What is its domain and range? Let's find out. examsolutions. Modulus FunctionThis applet shows the effect of the mudulus function. Jun 27, 2025 · Revision notes on Modulus Functions for the Cambridge (CIE) IGCSE Additional Maths syllabus, written by the Further Maths experts at Save My Exams. I was taught the function f (x)=|x| is 'modulus' in mathematics, but whenever we needed to use it in programming or Excel we would use the Absolute (ABS) function or equivalent. The modulus function returns the remainder of a division operation. Categories In arithmetic, the division of two integers produces a quotient and a remainder. The graph of the modulus function is as shown in figure, for x > 0, the graph coincides with the graph of the identity function i. Patrick has been teaching at the University level for 8 years at various colleges, and has 15 years of experience in tutoring. So, the range of function f (x) should be always positive for all values of x, as per the definition. In computing and mathematics, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the operation. It is the "base" with respect to which a congruence is computed (i. 4 of package base: Added support for ranges. You da real mvps! $1 per month helps!! :) / patrickjmt !! Complex Numbers: Graphing and Finding the Modulus, Ex 1. 2K subscribers Subscribe Explore the essentials of modulus functions, their properties, graphical representation, and use in solving equations and inequalities. In this article, you will learn about the graphs of different types of functions. For example, in (a×b) mod M, M is the modulus. Teachers please feel free to reach out if I can help you although I do get a lot of emails! You can find my What staying up all night does to your brain - Anna Rothschild Functions and Graphs 1 • The Modulus Function • P2 Ex2A • 🚀 A-Level Maths: B7-09 Graphs: Examples of Solving Modulus Equations PatrickJMT At PatrickJMT, you will find engaging math tutorials designed to simplify complex concepts. Note: In Complex Mode, all angles are displayed in radians. the line y = x and for x > 0, it is coincident to the line y = -x, Oct 29, 2021 · A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with equation f ( x ) = L 1 + e − k ( x − x 0 ) , {\displaystyle f (x)= {\frac {L} {1+e^ {-k (x-x_ {0})}}},} where , the value of the sigmoid's midpoint; , the curve's maximum value; , the logistic growth rate or steepness of the curve. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. In mathematics, the result of a modulo operation is the remainder of an arithmetic division. You da real mvps! $1 per month helps!! :) / patrickjmt !! Part 2 • Heaviside Function : Formula for a Pi Just a quick intro to the Heaviside Oct 14, 2010 · How to graph an inverse function f^ (−1) (x) based on the original function. com and click omore Jun 19, 2025 · Revision notes on Solving Equations with Modulus Functions for the Edexcel International A Level (IAL) Maths syllabus, written by the Maths experts at Save My Exams. We break down the definition of the function given in set-builder form and plot the graph by connecting points on the cartesian plane. Examples of modulus functions The modulus function, also known as the absolute value function, is a real-valued function that measures the "size" or "magnitude" of a real number, regardless of its sign. The absolute value of a number is the distance of the number from zero, meaning that the absolute values of 6 and -6 are 6. Discover the absolute value theorem. List of Functions and Their Graphs Some of the important functions are listed below: Identity function Constant function Polynomial function Rational functions Modulus function This MATLAB function returns the remainder after division of a by m, where a is the dividend and m is the divisor. Hi there! I’m here to help you learn about this topic. With over 15 years of tutoring experience, Patrick JMT provides clear explanations that empower learners. (source: wikipedia) The modulus function is both a fascinating and crucial topic in mathematics for competitive exams. Find information on key ideas, worked examples and common mistakes. Explore math with our beautiful, free online graphing calculator. 6 days ago · The word modulus has several different meanings in mathematics with respect to complex numbers, congruences, elliptic integrals, quadratic invariants, sets, etc. Understanding the modulus function is fundamental in mathematics and helps develop problem-solving skills and mathematical intuition. The modulus of a Number x will be a number with the same magnitude, but positive. It mainly uses remainders to get the value after wrapping around. When composing functions, just remember that (f∘g)(x) = f(g(x)) for all x. Feb 11, 2025 · Learn more about Modulus Function, Properties of Modulus Function in detail with notes, formulas, properties, uses of Modulus Function, Properties of Modulus Function prepared by subject matter experts. Changed in version 6. 5, Analyzing graphs of functions Jul 23, 2025 · In this article we will explore modulus function, modulus function formula domain and range of modulus function, modulus function graph, modulus function properties. The modulo function represents the remainder from dividing two different positive numbers. M, G. For values of in the domain of real numbers from to , the S-curve shown on 中文名 模函数 外文名 Modulus function 性 质 半复平面上处处亚纯函数的一类 学 科 解析函数论 领 域 计算机、数学 Modulus function or absolute value function is said to be the one that consists of algebraic expressions that are enclosed within various absolute value symbols. The modulus function always returns a positive result for any variable or an integer . Moduli (physics), scalar fields for which the potential energy function has continuous families of global minima The measurement of standard pitch in the teeth of a rotating gear Bulk modulus, a measure of compression resistance Elastic modulus, a measure of stiffness Shear modulus, a measure of elastic stiffness Young's modulus, a specific elastic modulus Modulo operation (a % b, mod(a, b Sep 3, 2025 · Modular arithmetic is a system of arithmetic for numbers where numbers "wrap around" after reaching a certain value, called the modulus. Updated: 11/21/2023 @patrickjmt explains everything you need to know about the derivative of a function, including the graphical relationship between a function and its derivative, how to sketch the derivative Also, we have different types of functions that can be defined based on their properties. Because it gives a non-negative result for every independent variable, whether positive or negative, it is also known as the absolute value function. Learn how to get rid of absolute value and find the limit of a function. An absolute value function is defined as: Nov 21, 2023 · Learn to define the limits with absolute values. The percentage symbol that, in previous models has been used as the operator for the modulus doesn't return the result of an expression such as: 10 MOD 5 where the input into the calculator would be 10 % 5, returning 0 The percentage symbol is specifically unaccessible in the complex environment on this model Oct 29, 2025 · Students learn how to understand and use the modulus function. Here |x| is known as modulus of x |x| is always positive. We sometimes will like to convert our numbers into positive numbers (non-negative to be exact). by: patrickJMT, Daniel Kopsas, blackpenredpen, The Organic Chemistry Tutor, Prime Newtons will be watching on my next break! hope you have fun with it too he Visual and intuitive understanding of how limits describe the behavior of functions. He walks us through several example problems featuring derivative 6 days ago · The word modulus has several different meanings in mathematics with respect to complex numbers, congruences, elliptic integrals, quadratic invariants, sets, etc. 1) In this video I explain the concept of Modulus functions and how to sketch Modulus graphs where the Modulus is outside the function. The function has many applications in computer science and cycle-related problems. MODULUS Function in 100 Minutes😱 | Complete One Shot With PYQ's⚡️| JEE Main & Advanced Arjuna JEE 674K subscribers Subscribe 7. Let's say that I need to format the output of an array to display a fixed number of elements per line. Jul 12, 2025 · In C or C++, the modulo operator (also known as the modulus operator), denoted by %, is an arithmetic operator. For more free math videos, check out http://justmathtutoring. You can drag the point P about to see how its location is changed by the modulus function. net/ for the index, playlists and more maths videos on modulus functions and other maths topics. The basics of manipulating functions — adding, subtracting, multiplying, and dividing functions, and function composition Aug 1, 2023 · What are modulus functions Modulus functions or absolute functions give the magnitude (and ignore the negative sign). The Modulus Function, |x| How to draw y=|f (x)| graphs How to draw y=f (|x|) graphs Find learning resources from PatrickJMT, so you can learn what you want quickly and easily and on your own time. Sect. For example, given the input mod(5,3) the remainder of dividing 5 by 3 is 2, which is the output of the function. We will also discuss the application of modulus function and derivative and integral of modulus function. You may modify f (x) by double clicking on the definition on the right. To find the length (or magnitude) of a complex number, use the modulus operator | |, and to determine the angle, use the arg () function. How to think about approaching limit questions without diving into calculations. Try using parentheses. Also, we will see how to graph modulus function. I look at modulus equations, graphs and inequalities, using a @patrickjmt explains everything you need to know about the derivative of a function, including the graphical relationship between a function and its derivative, how to sketch the derivative This MATLAB function returns the remainder after division of a by m, where a is the dividend and m is the divisor. Definition and Usage The MOD () function returns the remainder of a number divided by another number. The modulus function, denoted by | |, does that. e. an algebraic number field or a global function field). They return NaN if any of the arguments is NaN. Hence, a modulus function is always greater than or equal to 0. Timestamp:00:00 Sect. If you need to find f∘g algebraically or symbolically, think about "plugging in g" as the input variable of f. It is used to encode ramification data for abelian extensions of a global field. This video covers the modulus function, which strips away positive and negative signs, focussing on the numerical value of a number. Modulus as a piecewise function The modulus Here |x| is known as modulus of x |x| is always positive. (source: wikipedia) Aug 16, 2013 · Tutorial on the modulus function. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. For example, when computing the time of day Modulus Functions Modulus Functions (also known as absolute value Functions) are generically represented as f (x) = | x |. The equation I have is : y^2 (mod 7) = x^3 -7 (mod 7) However, Desmos says: 'mod' is a function. Whether you're struggling with algebra or calculus, his approachable teaching style encourages understanding and retention. " -Based on views and subscribers, his tutorial videos are the most popular supplemental math education channel on YouTube. Jul 8, 2013 · The modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the operation. Let's start our learning on the topic "Modulus Function". So, |–1| = 1 |–2| = 2 |1| = 1 |2| = 1 |0| = 0 Let us rewrite the function Let’s check for different values of x For x = –1 x < 0 So, f (x) = – x f (x) = – (–1) = 1 For x = –2 x < 0 So, f (x) = – x f (x) = – (–2) = 2 For x = 1 x > 0 So, f (x) = x f (x) = 1 For x = 2 Find learning resources from PatrickJMT, so you can learn what you want quickly and easily and on your own time. 1. All mathematical functions have the following behaviors: They return NULL if any of the input parameters is NULL. Explore the essentials of modulus functions, their properties, graphical representation, and use in solving equations and inequalities. pif 3lqmr6im oz vgvo lqzzrs qoy jsb gdh7j a3w2 mr74