Function Symbols
The general symbols used in functions are tabulated below:
SYMBOL | NAME | MEANING/DEFINITION | EXAMPLE |
|---|---|---|---|
→ , ↦ | Maps To | It denotes the mapping of an elements to its images under the function | f : X → Y that means function f maps elements from set X to set Y |
↔ | Bijective Mapping | It indicates one-to-one and onto mapping | f : X ↔ Y that means f that f is a bijective mapping between set X and Y |
⇒ | Implies | It used in logical statements | X ⇒ Y means if X, then y |
⇔ | If and Only If | It is basically a biconditional operation | If Corresponding Angles are equal then lines are parallel and if lines are parallel corresponding angles are equal |
f(x) | Function | It means Function in terms of x | f(x) = x + 1 |
Dom(f) | Domain of Function f | It indicate input value of a function | Dom (Sin x) = R |
Range (f) | Range of Function f | It indicate Range of Function f | Range (Sin x) = [1, 1] |
fog | Composition of Function | It means function f is described in terms of function g | If f = sin x and g = x + 2 Then fog = sin(x + 2) |
⌊x⌋ | Fllor of x | It indicates the greatest integer less than x |
⌊4.46⌋ = 4 |
⌈x⌉ | Ceiling of x | It indicates the smallest integer greater than x |
⌈4.46⌉ = 5 |
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Algebra Symbols
Algebra Symbols are specific characters that are used to represent particular operations in Algebra. The branch of Algebra deals with the relation between variables and constants. There are different branches of Algebra such as linear algebra, vector algebra, and Boolean algebra for which we have different algebra symbols.
In this article, we will learn how to represent variables and constants in algebra and also different symbols
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