Question

What is the example of symbols? ​

Answer 1

Answer:

Explanation:

Basic Maths Symbols Names With Meaning and Examples

The basic symbols help us to work with mathematical concepts in a theoretical manner. In simple words, without symbols, we cannot do maths. The mathematical signs and symbols are considered as the representative of the value. The basic symbols in maths are used to express the mathematical thoughts. The relationship between the sign and the value refers to the fundamental need of mathematics. With the help of symbols, certain concepts and ideas are clearly explained. Here 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 hold 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

/ division slash division 6 ⁄ 2 = 3

mod modulo remainder calculation 7 mod 3 = 1

ab power exponent 24 = 16

. period decimal point, decimal separator 4.36 = 4 +36/100

√a square root √a · √a = a √9 = ±3

a^b caret exponent 2 ^ 3 = 8

4√a fourth root 4√a ·4√a · 4√a · 4√a = a 4√16= ± 2

3√a cube root 3√a ·3√a · 3√a = a 3√343 = 7

% percent 1% = 1/100 10% × 30 = 3

n√a n-th root (radical) n√a · n√a · · · n times = a for n=3, n√8 = 2

ppm per-million 1 ppm = 1/1000000 10ppm × 30 = 0.0003

‰ per-mille 1‰ = 1/1000 = 0.1% 10‰ × 30 = 0.3

ppt per-trillion 1ppt = 10-12 10ppt × 30 = 3×10-10

ppb per-billion 1 ppb = 1/1000000000 10 ppb × 30 = 3×10-7

Maths Logic symbols With Meaning

Symbol Symbol Name Meaning or Definition Example

^ caret / circumflex and x ^ y

· and and x · y

+ plus or x + y

& ampersand and x & y

| vertical line or x | y

∨ reversed caret or x ∨ y

x bar not – negation x

x’ single-quote not – negation x’

! Exclamation mark not – negation ! x

¬ not not – negation ¬ x

~ tilde negation ~ x

⊕ circled plus / oplus exclusive or – xor x ⊕ y

⇔ equivalent if and only if (iff)

⇒ implies n/a n/a

∀ for all n/a n/a

↔ equivalent if and only if (iff) n/a

∄ there does not exist n/a n/a

∃ there exists n/a n/a

∵ because / since n/a n/a

∴ therefore n/a n/a

Calculus and Analysis Symbols in Maths

Symbol Symbol Name Meaning or definition Example

ε epsilon represents a very small number, near-zero ε → 0

limx→a limit limit value of a function limx→a(3x+1)= 3 × a + 1 = 3a + 1

y ‘ derivative derivative – Lagrange’s notation (5x3)’ = 15x2

e e constant / Euler’s number e = 2.718281828… e = lim (1+1/x)x , x→∞

y(n) nth derivative n times derivation nth derivative of 3xn = 3 n (n-1)(n-2)….(2)(1)= 3n!

y” second derivative derivative of derivative (4x3)” = 24x

d2ydx2 second derivative derivative of derivative d2dx2(6x3+x2+3x+1)=36x+1

dy/dx derivative derivative – Leibniz’s notation ddx(5x)=5

dnydxn nth derivative n times derivation n/a

y¨=d2ydt2 Second derivative of time derivative of derivative n/a

y˙ Single derivative of time derivative by time – Newton’s notation n/a

D2x second derivative derivative of derivative n/a

Dx derivative derivative – Euler’s notation n/a

∫ integral opposite to derivation n/a

af(x,y)ax partial derivative ∂(x2+y2)/∂x = 2x n/a

∭ triple integral integration of function of 3 variables n/a

∬ double integral integration of function of 2 variables n/a

∯ closed surface integral n/a n/a

∮ closed contour / line integral n/a n/a

[a,b] closed interval [a,b] = {x | a ≤ x ≤ b} n/a

∰ closed volume integral n/a

(a,b) open interval (a,b) = {x | a < x < b} n/a

z* complex conjugate z = a+bi → z*=a-bi z* = 3 + 2i

i imaginary unit i ≡ √-1 z = 3 + 2i

∇ nabla / del gradient / divergence operator ∇f (x,y,z)

z complex conjugate z = a+bi → z = a-bi z = 3 + 2i

x⃗  vector V⃗ =xi^+yj^+zk^ n/a

x * y convolution y(t) = x(t) * h(t) n/a

∞ lemniscate infinity symbol n/a

δ delta function n/a n/a

Answer 2

Answer:

• ☆
• $
• @
• ₩

Explanation:

These are examples of symbols