proof

Parin Sir > proof

Jun

…

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Jun

One-One & Many-One Functions

☼ One-One & Many-One Functions : Let f : A $\large \rightarrow$ B. We say that f is one-one, if disti…

Posted in: One-One & Many-One Functions,

Tags: theorems, Examples, Functions, education, definition, SUMS, online, definitions, example, One-One, tutorial, fundamental, math, & Many-One, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class,

Jun

Functions

☼ Functions : Let A and B be two non-empty sets. Then a rule f which associates to each x $\in$ A, a unique element f (x)

Posted in: Functions,

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Jun

Cartesian Product of Two Sets

☼ Cartesian Product of Two Sets : The Cartesian product A $\times$ B of two non-empty sets A and B is defined as : A

Posted in: Cartesian Product of Two Sets,

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Jun

Ordered Pair

☼ Ordered Pair : A pair of two elements a and b listed in a specific order, is called an ordered pair ( a, b ).

Note (i) ( 2, 3 ) $\ne$

Posted in: Ordered Pair,

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Jun

Venn Diagrams

☼ Venn Diagrams : We represent sets by closed bounded figures, known as Venn diagrams. The universal set is denoted by a rectangular region and each subset of it is shown by a closed bounded figure within this rectangle.

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Posted in: Venn Diagrams,

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01

Jun

Some More Important Results
☼ Some More Important Results :

(i) A $\cup$ B = $\emptyset$

Posted in: Some More Important Results,

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01

Jun

Laws of operations
$\large \mapsto$ Commutative Laws :

(i) A $\cup$ B…

Posted in: Laws of operations,

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31

May

Complement of a Set
☼ Complement of a Set :   Let A be a subset of the universal set U, then the complement of A, denoted by Aٰ or A is defined by :

Aٰ = A = { x : x U, x A }.

Clearly, x A   x A.

e.g.

Posted in: Complement of a Set,

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31

May

Universal Set
☼ Universal Set :   In the discussion about sets, all sets are assumed to be the subsets of a definite set. This definite set is called the universal set. Universal set contains the sets under discussion as subsets. The symbol U i…

Posted in: Universal Set ,

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