Basic Mathematical Constants
Pi (π)
Symbol: π
LaTeX: \pi
The ratio of a circle's circumference to its diameter (approximately 3.14159)
Euler's Number (e)
Symbol: e
LaTeX: e
A fundamental mathematical constant (approximately 2.71828) used in calculus, complex numbers, and exponential growth
Operators and Operations
Summation (∑)
Symbol: ∑
LaTeX: \sum
Represents the sum of a sequence of numbers or expressions
Product (∏)
Symbol: ∏
LaTeX: \prod
Represents the product of a sequence of numbers or expressions
Integral (∫)
Symbol: ∫
LaTeX: \int
Represents the integral of a function over a given interval
Set Theory
Set Membership (∈)
Symbol: ∈
LaTeX: \in
Indicates element membership in a set
Subset (⊆)
Symbol: ⊆
LaTeX: \subseteq
Indicates that one set is contained within another
Vector Operations
Dot Product (·)
Symbol: ·
LaTeX: \cdot
Represents the scalar product of two vectors
Cross Product (×)
Symbol: ×
LaTeX: \times
Represents the vector product of two vectors
Element-wise Product (⊙)
Symbol: ⊙
LaTeX: \odot
Represents the Hadamard (element-wise) product of matrices or vectors
Tensor Product (⊗)
Symbol: ⊗
LaTeX: \otimes
Represents the tensor product of mathematical objects
Logical Operators
For All (∀)
Symbol: ∀
LaTeX: \forall
Indicates universal quantification
There Exists (∃)
Symbol: ∃
LaTeX: \exists
Indicates existential quantification
Therefore (∴)
Symbol: ∴
LaTeX: \therefore
Indicates a logical conclusion
Because (∵)
Symbol: ∵
LaTeX: \because
Indicates a reason or cause
Geometric Relations
Parallel (∥)
Symbol: ∥
LaTeX: \parallel
Indicates parallel lines or planes
Perpendicular (⊥)
Symbol: ⊥
LaTeX: \perp
Indicates perpendicular lines or planes
Congruent (≅)
Symbol: ≅
LaTeX: \cong
Indicates geometric figures with same shape and size
Similar (∼)
Symbol: ∼
LaTeX: \sim
Indicates geometric figures with same shape
Calculus and Analysis
Limit (lim)
Symbol: lim
LaTeX: \lim
Represents the value a function approaches
Partial Derivative (∂/∂x)
Symbol: ∂/∂x
LaTeX: \frac{\partial}{\partial x}
Rate of change with respect to one variable
Complex Conjugate
Symbol: z̄
LaTeX: \overline{z}
Represents the complex conjugate of a complex number
Functions and Special Notation
Floor Function (⌊x⌋)
Symbol: ⌊x⌋
LaTeX: \lfloor x \rfloor
Largest integer less than or equal to x
Ceiling Function (⌈x⌉)
Symbol: ⌈x⌉
LaTeX: \lceil x \rceil
Smallest integer greater than or equal to x
Factorial (n!)
Symbol: n!
LaTeX: n!
Product of all positive integers up to n
Binomial Coefficient
Symbol: (n k)
LaTeX: \binom{n}{k}
Number of ways to choose k items from n items
Matrix Operations
Matrix Inverse
Symbol: A⁻¹
LaTeX: A^{-1}
Represents the inverse of a square matrix
Matrix Transpose
Symbol: Aᵀ
LaTeX: A^T
Represents the transpose of a matrix
Kronecker Delta
Symbol: δᵢⱼ
LaTeX: \delta_{ij}
Function that equals 1 when i=j and 0 otherwise
Accessibility Notes
- All mathematical symbols include clear text descriptions
- LaTeX notation provided for digital typesetting
- Hierarchical organization for easy navigation
- Grouped by mathematical concept for logical flow