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