EQUATION

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 Dictionary entry overview: What does equation mean? 

• EQUATION (noun)
  The noun EQUATION has 3 senses:

1. a mathematical statement that two expressions are equal

2. a state of being essentially equal or equivalent; equally balanced

3. the act of regarding as equal

  Familiarity information: EQUATION used as a noun is uncommon.

 Dictionary entry details 

• EQUATION (noun)

Sense 1

Meaning:

A mathematical statement that two expressions are equal

Classified under:

Nouns denoting communicative processes and contents

Hypernyms ("equation" is a kind of...):

mathematical statement (a statement of a mathematical relation)

Domain category:

math; mathematics; maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement)

Hyponyms (each of the following is a kind of "equation"):

regression equation; regression of y on x (the equation representing the relation between selected values of one variable (x) and observed values of the other (y); it permits the prediction of the most probable values of y)

linear equation (a polynomial equation of the first degree)

quadratic; quadratic equation (an equation in which the highest power of an unknown quantity is a square)

biquadratic; biquadratic equation (an equation of the fourth degree)

differential equation (an equation containing differentials of a function)

simultaneous equations (a set of equations in two or more variables for which there are values that can satisfy all the equations simultaneously)

exponential equation (an equation involving exponential functions of a variable)

Derivation:

equate (be equivalent or parallel, in mathematics)

Sense 2

Meaning:

A state of being essentially equal or equivalent; equally balanced

Classified under:

Nouns denoting stable states of affairs

Synonyms:

equality; equation; equivalence; par

Context example:

on a par with the best

Hypernyms ("equation" is a kind of...):

position; status (the relative position or standing of things or especially persons in a society)

Hyponyms (each of the following is a kind of "equation"):

egalite; egality (social and political equality)

tie (equality of score in a contest)

Derivation:

equate (make equal, uniform, corresponding, or matching)

equate (be equivalent or parallel, in mathematics)

Sense 3

Meaning:

The act of regarding as equal

Classified under:

Nouns denoting acts or actions

Synonyms:

equating; equation

Hypernyms ("equation" is a kind of...):

equalisation; equalization; leveling (the act of making equal or uniform)

Derivation:

equate (consider or describe as similar, equal, or analogous)

 Context examples 

Equations are usually and sometimes tacitly accompanied by the requirement to establish these conditions.

(Equation, NCI Thesaurus)

A series of mathematical equations that relates the growth rate of tumors to the way they respond to therapy.

(Norton-Simon Model, NCI Thesaurus)

In a second stage, Maeder focused on Newton's law, a specific instance of the equations of general relativity.

(There May Be No Dark Matter, Dark Energy in Universe, The Titi Tudorancea Bulletin)

Parametric regression requires choice of the regression equation with one or a greater number of unknown parameters.

(Parametric Regression Method, NCI Thesaurus)

Theoretical representations that simulate the behavior or activity of the neurological system, processes or phenomena; includes the use of mathematical equations, computers, and other electronic equipment.

(Neurological Model, NCI Thesaurus)

A consequence of a mathematical model in which some parameters do not appear as separate data coefficients to the first power in the equations used to evaluate these from data fitting.

(Non-linear Parameter Identification, NCI Thesaurus)

A consequence of a mathematical model in which all parameters appear as separate data coefficients to the first power in the equations used to evaluate these from fitting the model to data.

(Linear Parameter Identification, NCI Thesaurus)

In this case the matter was simplified by Brunton’s intelligence being quite first-rate, so that it was unnecessary to make any allowance for the personal equation, as the astronomers have dubbed it.

(The Memoirs of Sherlock Holmes, by Sir Arthur Conan Doyle)

Then he got out note-book and algebra and lost himself in quadratic equations, while the hours slipped by, and the stars dimmed, and the gray of dawn flooded against his window.

(Martin Eden, by Jack London)

A kernel function described by the equation: ((2PI)^(-0.5))*exp(-u^(2)/2) with u=(x-xi)/h, where h is the window width and xi are the values of the independent variable in the data, and x is the value of the independent variable for which one seeks an estimate.

(Gaussian Kernel, NCI Thesaurus)