Exponential function
From Wikipedia, the free encyclopedia
This article is about functions of the form f(x) = abx. For functions of the form f(x,y) = xy, see
Exponentiation. For functions of the form f(x) = xr, see Power function.
The natural exponential
Physics (from Ancient Greek: () phusik (epistm) "knowledge of nature",
from phsis "nature"[1][2][3]) is the natural science that involves the study of matter[4] and its
motion through space and time, along with related concepts such as energy and force.[5
Basic notions
In calculus, the differential represents a change in the linearization of a function.
o The total differential is its generalization for functions of multiple variables.
In traditional approaches to calculus, the differentials (e.g. dx, dy,
Physics and engineering
Dynamics (mechanics),
Aerodynamics, the study of gases in motion
Analytical dynamics, the motion of bodies as induced by external forces
Anomalous dynamics (Random walk#Anomalous diffusion), the stochastic motion of
objects with m
An automaton (pronunciation: /tmtn/)(plural: automata or automatons) is a self-operating
machine, or a machine or control mechanism designed to follow automatically a predetermined
sequence of operations, or respond to predetermined instructions.[1] Some
In statistics, quality assurance, and survey methodology, sampling is concerned with the
selection of a subset of individuals from within a statistical population to estimate characteristics
of the whole population. Each observation measures one or more p
Growth
Advanta began in 1951 as a provider of personal loans to schoolteachers. In 1971, when the
current CEO, Dennis Alter, took over the company from his father, it had 30 employees. It
served mostly teachers and was licensed only in Pennsylvania, Flori
In probability and statistics, a probability distribution is a mathematical description of a
random phenomenon in terms of the probabilities of events. Examples of random phenomena
include the results of an experiment or survey. A probability distribution
Astronomy, a natural science, is the study of celestial objects (such as stars, galaxies, planets,
moons, asteroids, comets and nebulae) and processes (such as supernovae explosions, gamma
ray bursts, and cosmic microwave background radiation), the physic
Metrology is the science of measurement and includes all theoretical and practical aspects of
measurement.
Metrology is defined by the International Bureau of Weights and Measures (BIPM) as "the
science of measurement, embracing both experimental and theo
An experiment is a procedure carried out to verify, refute, or validate a hypothesis. Experiments
provide insight into cause-and-effect by demonstrating what outcome occurs when a particular
factor is manipulated. Experiments vary greatly in goal and scal
Program refinement
In formal methods, program refinement is the verifiable transformation of an abstract (highlevel) formal specification into a concrete (low-level) executable program.[citation needed] Stepwise
refinement allows this process to be done i
Logic programming is a programming paradigm based on formal logic. A program written in a
logic programming language is a set of sentences in logical form, expressing facts and rules
about some problem domain. Major logic programming language families inc
A computation can be seen as a purely physical phenomenon occurring inside a closed physical
system called a computer. Examples of such physical systems include digital computers,
mechanical computers, quantum computers, DNA computers, molecular computers
Computer simulation
Main article: Computer simulation
A computer simulation (or "sim") is an attempt to model a real-life or hypothetical situation on a
computer so that it can be studied to see how the system works. By changing variables in the
simulatio
Computer science is the scientific and practical approach to computation and its applications. It
is the systematic study of the feasibility, structure, expression, and mechanization of the
methodical procedures (or algorithms) that underlie the acquisiti
Measurement is the assignment of a number to a characteristic of an object or event, which can
be compared with other objects or events.[1][2] The scope and application of a measurement is
dependent on the context and discipline. In the natural sciences a
A program transformation is any operation that takes a computer program and generates
another program. In many cases the transformed program is required to be semantically
equivalent to the original, relative to a particular formal semantics and in fewer
Statistics is the study of the collection, analysis, interpretation, presentation, and
organization of data.[1] In applying statistics to, e.g., a scientific, industrial, or social problem, it
is conventional to begin with a statistical population or a st