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This is a list of some well-known periodic functions. The constant function f (x) = c, where c is independent of x, is periodic with any period, but lacks a fundamental period. A definition is given for some of the following functions, though each function may have many equivalent definitions.
A periodic function, also called a periodic waveform (or simply periodic wave), is a function that repeats its values at regular intervals or periods. The repeatable part of the function or waveform is called a cycle . [ 1 ]
Periodic tables usually at least show the elements' symbols; many also provide supplementary information about the elements, either via colour-coding or as data in the cells. The above table shows the names and atomic numbers of the elements, and also their blocks, natural occurrences and standard atomic weights .
These axes provide scales (quantitative and categorical) used to label and assign values to the visual objects. Many graphs are also referred to as charts. [54] Eppler and Lengler have developed the "Periodic Table of Visualization Methods," an interactive chart displaying various data visualization methods.
This template is a wrapper for a number of legends, each called a theme, used in periodic tables. Examples of themes are: block, state of matter. Examples of themes are: block, state of matter. Each theme can have individual settings for that theme, for example to show "unknown".
It is possible to envision three-dimensional (3D) graphs showing three thermodynamic quantities. [12] [13] For example, for a single component, a 3D Cartesian coordinate type graph can show temperature (T) on one axis, pressure (p) on a second axis, and specific volume (v) on a third. Such a 3D graph is sometimes called a p–v–T diagram. The ...
This table shows the real hydrogen-like wave functions for all atomic orbitals up to 7s, and therefore covers the occupied orbitals in the ground state of all elements in the periodic table up to radium and some beyond. "ψ" graphs are shown with − and + wave function phases shown in two different colors (arbitrarily red and blue).
the chromatic number of a graph in graph theory [65] the Euler characteristic in algebraic topology [66] electronegativity in the periodic table; the Fourier transform of a linear response function; a character in mathematics; especially a Dirichlet character in number theory; sometimes the mole fraction; a characteristic or indicator function ...