Submitted By Clarie
A real-valued function f is one whose codomain is the set of real numbers or a subset thereof. If, in addition, the domain is also a subset of the reals, f is a real valued function of a real variable. The study of such functions is called real analysis.
Affine functions | Quadratic function | Continuous function | Trigonometric function | An affine function | A quadratic function. | The signum function is not continuous, since it "jumps" at 0. | The sine and cosine function. | f(x) = ax + b. | f(x) = ax2 + bx + c. | Roughly speaking, a continuous function is one whose graph can be drawn without lifting the pen. | e.g., sin(x), cos(x) |
Further types of function * differentiable, integrable * polynomial, rational * algebraic, transcendental * odd or even * convex, monotonic * holomorphic, meromorphic, entire * vector-valued * computable *
In logic and philosophy the term proposition refers to either (a) the "content" or "meaning" of a meaningful declarative sentence or (b) the pattern of symbols, marks, or sounds that make up a meaningful declarative sentence. In classical logic, the meaning of a proposition includes having the quality or property of being either true or false, and as such propositions are claimed to betruthbearers Example | Name | Result | $a and $b | And | TRUE if both $a and $b are TRUE. | $a or $b | Or | TRUE if either $a or $b is TRUE. | $a xor $b | Xor | TRUE if either $a or $b is TRUE, but not both. | ! $a | Not | TRUE if $a is not TRUE. | $a && $b | And | TRUE if both $a and $b are TRUE. | $a || $b | Or | TRUE if either $a or $b is TRUE. |…...