ALGEBRA
| Mantrakshar | Hindi | Symbol Name | Meaning / definition | Example | |
| x | X चर | x variable | unknown value to find | when 2x = 4, then x = 2 | |
| ≡ | समानक | equivalence | identical to | | |
| ≜ | परिभाषा के बराबर | equal by definition | equal by definition | | |
| := | परिभाषा के बराबर | equal by definition | equal by definition | | |
| ~ | लगभग समान | approximately equal | weak approximation | 11 ~ 10 | |
| ≈ | लगभग समान | approximately equal | approximation | sin(0.01) ≈ 0.01 | |
| ∝ | आनुपातिक | proportional to | proportional to | y ∝ x when y = kx, k constant | |
| ∞ | अनंत चिन्ह | lemniscate | infinity symbol | | |
| ≪ | से अधिक कम | much less than | much less than | 1 ≪ 1000000 | |
| ≫ | से अधिक ज्यादा | much greater than | much greater than | 1000000 ≫ 1 | |
| ( ) | | parentheses | calculate expression inside first | 2 * (3+5) = 16 | |
| [ ] | | brackets | calculate expression inside first | = 18 | |
| { } | | braces | set | | |
| ⌊x⌋ | फर्श कोष्ठक | floor brackets | rounds number to lower integer | ⌊4.3⌋ = 4 | |
| ⌈x⌉ | छत कोष्ठक | ceiling brackets | rounds number to upper integer | ⌈4.3⌉ = 5 | |
| x! | विस्मयादिबोधक चिह्न | exclamation mark | factorial | 4! = 1*2*3*4 = 24 | |
| delim{]}{x}{]} | लंबवत सलाखों | vertical bars | absolute value | FALSE | |
| f (x) | | function of x | maps values of x to f(x) | f (x) = 3x+5 | |
| (f ∘ g) | | function composition | (f ∘ g) (x) = f (g(x)) | f (x)=3x,g(x)=x-1 ⇒(f ∘ g)(x)=3(x-1) | |
| (a,b) | खुला अंतराल | open interval | <m> (a,b) = {x | a < x < b} </m> | x∈ (2,6) |
| [a,b] | बंद अंतराल | closed interval | <m> [a,b] = {x | a ≤ x ≤ b} </m> | x ∈ [2,6] |
| ∆ | बदलाव चिन्ह | delta | change / difference | ∆t = t1 - t0 | |
| ∆ | | discriminant | Δ = b2 - 4ac | | |
| ∑ | | sigma | summation - sum of all values in range of series | ∑ xi= x1+x2+…+xn | |
| ∑∑ | | sigma | double summation | | |
| ∏ | | capital pi | product - product of all values in range of series | ∏ xi=x1∙x2∙…∙xn | |
| e | | e constant / Euler's number | e = 2.718281828… | e = lim (1+1/x)x , x→∞ | |
| γ | | Euler-Mascheroni constant | γ = 0.5772156649… | | |
| φ | सुनहरा अनुपात | golden ratio | golden ratio constant | | |
| π | | pi constant | π = 3.141592654…is the ratio between the circumference and diameter of a circle | c = π⋅d = 2⋅π⋅r | |
ALGEBRA
LINEAR Algebra symbols
| hindi | Symbol | Symbol Name | Meaning / definition | Example |
| | · | dot | scalar product | a · b |
| | × | cross | vector product | a × b |
| | A⊗B | tensor product | tensor product of A and B | A ⊗ B |
| | \langle x,y \rangle | inner product | | |
| | [ ] | brackets | matrix of numbers | |
| | ( ) | parentheses | matrix of numbers | |
| | A | determinant | determinant of matrix A | |
| | det(A) | determinant | determinant of matrix A | |
| | <m>delim{vert}{x}{vert}</m> | double vertical bars | norm | |
| | AT | transpose | matrix transpose | (AT)ij = (A)ji |
| | A† | Hermitian matrix | matrix conjugate transpose | (A†)ij = (A)ji |
| | A* | Hermitian matrix | matrix conjugate transpose | (A*)ij = (A)ji |
| | A -1 | inverse matrix | A A-1 = I | |
| | rank(A) | matrix rank | rank of matrix A | rank(A) = 3 |
| | dim(U) | dimension | dimension of matrix A | dim(U) = 3 |
