Sets, Relations, and Functions

A Short Note on Odd and Even Function

Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

There are various sorts of functions that we learn in mathematics. We can use algebra or graphics to determine whether a function is even or odd. Even and odd functions can be tested by substituting negative inputs (-x) for x in the function f(x) and examining the resulting output value. The symmetry relations of even […]

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

A Guide about Transformation Theorem

Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

One of the related results about the moments and probability distribution of a random variable transformation is the transformation theorem (or vector). A transformation in mathematics is a function f that maps a set X to itself, i.e. f: X —>X. It usually has some geometrical grounding. Linear vector space transformations and geometric transformations, such

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

A Clear Explanation of Step Function

Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

A step function, also known as a staircase function, is a real-number function that can be written as a finite linear combination of interval indicator functions. Informally, a step function is a piecewise constant function with a finite number of pieces. On given intervals, a step function has a constant value, but the constant is

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

Absolute Value Functions

Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

What to do after 10th? A function in mathematics is a relationship between a group of inputs with one output. A function, in simple terms, is a relationship between inputs in which each input is associated with only one output. Each function has a domain and a co-domain, often known as a range. The general

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

Construction of Graphs and Transforming Theorem

Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

“The great beauty of a graph is that it is an oblique, difficult to comprehend representation of a wonderful thing made up of lines and knots. Can be reduced.” (Das chinesische Dreieck: die kniffligsten, D. Olivastro. 10000-year-old mathematise Rattle Droemer. Munches: Knauer, 1995, S.273) Graph transformation, often known as graph rewriting, is a computer science

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Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

Differences Between Sets and Relations

Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

Sets, relations, and functions is one of the most important subjects in set theory in mathematics. Sets, relations, and functions are three distinct words with distinct mathematical meanings but equal importance. The set is a group of well specified things. Only on the basis of simplicity are the objects in a set considered distinct. A

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Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

Understanding Covariance vs Correlation

Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

Understanding the change that occurs in a variable based on the changes in another variable is an important measurement. The parameters used to measure such kinds of relative changes that happen in a variable based on some other variables are correlation and covariance.  The covariance of the dataset gives us an idea of what predictions

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Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

Types of Relations and their Significance

Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

One of the most significant subjects in set theory is relations and their kinds of ideas. Sets, relations, and functions are all interconnected concepts. Sets are collections of ordered elements, whereas relations and functions are the actions that may be performed on them. The relations establish the link between the two sets. There are also

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Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

Types of Relations & Equivalent Relations

Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

If and only if a relation R on a set A is reflexive, symmetric, and transitive, it is said to be an equivalence relation. The equivalence relation is a set relationship that is usually denoted by the symbol “∼”.An equivalence relation defined on a set is a binary relation that is reflexive, symmetric, and transitive

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Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

Types of Properties

Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions

A binary relation is said to be defined on a set X as having an equivalence relation if and only if the relation is reflexive, symmetric, and transitive. The connection can’t be an equivalence relation if any one of the three conditions—reflexive, symmetric, or transitive—is not met. The equivalence relation separates the set into distinct

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Class 11, IIT JEE, Maths, Relations and equivalence relations, Sets, Relations, and Functions