In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept...
19 KB (2,467 words) - 19:43, 4 August 2024
absolutely monotonic function and a completely monotonic function are two very closely related concepts. Both imply very strong monotonicity properties...
10 KB (1,414 words) - 19:40, 14 August 2024
well the relationship between two variables can be described using a monotonic function. The Spearman correlation between two variables is equal to the Pearson...
31 KB (4,158 words) - 13:03, 5 August 2024
}\left(1\wedge x\right)\mu (dx)<\infty .} Absolutely and completely monotonic functions and sequences S. N. Bernstein (1928). "Sur les fonctions absolument...
3 KB (344 words) - 11:14, 24 March 2024
mathematical functions Injective metric space – Type of metric space Monotonic function – Order-preserving mathematical function Univalent function – mathematical...
16 KB (2,499 words) - 13:11, 1 June 2024
{\displaystyle g:\mathbb {R} \to \mathbb {R} } be a monotonic function, then the resulting density function is f Y ( y ) = f X ( g − 1 ( y ) ) | d d y ( g...
30 KB (4,938 words) - 16:36, 31 May 2024
inputs. Strict monotonic function: preserves the given order. Real function: a function whose domain is real. Complex function: a function whose domain...
13 KB (1,407 words) - 21:21, 26 January 2023
Square (algebra) (redirect from Square function)
square function preserves the order of positive numbers: larger numbers have larger squares. In other words, the square is a monotonic function on the...
15 KB (1,988 words) - 08:16, 5 July 2024
be a complete lattice and let f : L → L be an order-preserving (monotonic) function w.r.t. ≤ . Then the set of fixed points of f in L forms a complete...
19 KB (2,415 words) - 04:32, 29 July 2024
Sequence (redirect from Monotonic sequence)
sequence. This is a special case of the more general notion of a monotonic function. The terms nondecreasing and nonincreasing are often used in place...
39 KB (6,156 words) - 04:01, 4 August 2024