Question

tell me 10 new mathematical symbols of class 10-12
and their origin meaning and their uses in different areas of mathematics

Answer 1

Step-by-step explanation:

This is a list of commonly used symbols in the stream of mathematics.

Symbol Symbol Name Meaning or Definition Example

≠ not equal sign inequality 10 ≠ 6

= equals sign equality 3 = 1 + 2

< strict inequality less than 7 < 10

> strict inequality greater than 6 > 2

≤ inequality less than or equal to x ≤ y, means, y = x or y > x, but not vice-versa.

≥ inequality greater than or equal to a ≥ b, means, a = b or a > b, but vice-versa does not holds true.

[ ] brackets calculate expression inside first [ 2×5] + 7 = 17

( ) parentheses calculate expression inside first 3 × (3 + 7) = 30

− minus sign subtraction 5 − 2 = 3

+ plus sign addition 4 + 5 = 9

∓ minus – plus both minus and plus operations 1 ∓ 4 = -3 and 5

± plus – minus both plus and minus operations 5 ± 3 = 8 and 2

× times sign multiplication 4 × 3 = 12

* asterisk multiplication 2 * 3 = 6

÷ division sign / obelus division 15 ÷ 5 = 3

∙ multiplication dot multiplication 2 ∙ 3 = 6

– horizontal line division / fraction 8/2 = 4

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Answer 2

Answer:

Symbol Name Date of earliest use First author to use

≠

inequality sign (not equal to) unknown Leonhard Euler

⌊x⌋

⌈x⌉

greatest integer ≤ x (a.k.a. floor)

smallest integer ≥ x (a.k.a. ceiling) 1962[4] Kenneth E. Iverson

∎

end of proof sign (a.k.a. tombstone) 1950[3] Paul Halmos

→

arrow (for function notation) 1940 (in the present form of f: X → Y) Witold Hurewicz

ℂ

Blackboard bold capital C (for complex numbers set) 1939 Nathan Jacobson

∅

empty set sign 1939 André Weil / Nicolas Bourbaki[2]

→

arrow (for function notation) 1936 (to denote images of specific elements) Øystein Ore

∀

universal quantifier (for all) 1935 Gerhard Gentzen

ℤ

Blackboard bold capital Z (for integer numbers set) 1930 Edmund Landau

∮

contour integral sign 1917 Arnold Sommerfeld

(...)

matrix notation 1909[1] Maxime Bôcher

[...]

 

matrix notation 1909[1] Gerhard Kowalewski

∨

logical disjunction (a.k.a. OR) 1906 Bertrand Russell

·

middle dot (for dot product) 1902 J. Willard Gibbs

×

multiplication sign (for cross product) 1902 J. Willard Gibbs

∃

existential quantifier (there exists) 1897 Giuseppe Peano

ℕ

Blackboard bold capital N (for natural numbers set) 1895 Giuseppe Peano

ℚ

Blackboard bold capital Q (for rational numbers set) 1895 Giuseppe Peano

{...}

braces, a.k.a. curly brackets (for set notation) 1895 Georg Cantor

∈

Step-by-step explanation: