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## Algebra Symbols

### Algebra symbols

Algebra symbols, including +, -,  *,  =, <, >, and parentheses, provide a concise language for expressing mathematical concepts. They represent operators, variables like "x" or "y," and aid in solving equations by indicating priority and grouping. The equals sign "=" and inequality symbols (< less than, > greater than/ ≤ less than or equal to sign/ ≥ Means greater than or equal to sign ) play pivotal roles in balancing and comparing algebraic expressions.

### Table Of Algebric Symbols

 Symbol Name of the Symbol Meaning / Definition x Variable Represents an unknown or placeholder value in an equation. ≡ Equivalence Denotes identical or equivalent in value or definition. ≜ Equal by Definition Represents equal by definition. ≈ Approximately Equal Indicates an approximation, the values are nearly equal. ∝ Proportional To Denotes a proportional relationship between quantities. ∞ Lemniscate Represents infinity or a figure-eight-shaped curve. < Less Than Signifies that one quantity is smaller than another. ≤ Inequality Means less than or equal to sign > Greater Than Signifies that one quantity is greater than another. ≥ Inequality Means greater than or equal to sign ≪ Much Less Than Signifies that one quantity is significantly smaller than another. ≫ Much Greater Than Signifies that one quantity is significantly larger than another. () Parentheses Used for grouping terms or to indicate order of operations. [] Brackets Used for intervals or grouping terms in equations. {} Braces Used for sets or functions. ⌊x⌋ Floor Brackets Denotes the greatest integer less than or equal to a given number. ⌈x⌉ Ceiling Brackets Denotes the smallest integer greater than or equal to a given number. x! Exclamation Mark Denotes factorial (product of an integer and all below it). | x | Vertical Bars Represents absolute value or in sets to denote cardinality. f(x) Function of x Denotes a function with 'x' as its input variable. fog Function Composition Represents the composition of two functions 'f' and 'g'. (a, b) Open Interval Represents a range of values including 'a' but not 'b'. [a, b] Closed Interval Represents a range of values including both 'a' and 'b'. Δ Delta Represents change or difference between values. Δ Discriminant In quadratic equations, it represents part of the quadratic formula. Σ Sigma Denotes summation of a sequence of values. Σ Sigma (Capital Pi) Denotes product of a sequence of values. e E Constant / Euler's Number Represents the base of the natural logarithm. γ Euler-Mascheroni Constant Represents the difference between the harmonic series and natural logarithm. φ Golden Ratio Represents the ratio found in mathematics and nature. π Pi Constant Represents the ratio of a circle's circumference to its diameter.

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