Theory of equations


Theory of equations
Equation E*qua"tion, n. [L. aequatio an equalizing: cf. F. ['e]quation equation. See {Equate}.] 1. A making equal; equal division; equality; equilibrium. [1913 Webster]

Again the golden day resumed its right, And ruled in just equation with the night. --Rowe. [1913 Webster]

2. (Math.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc. [1913 Webster]

3. (Astron.) A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion. [1913 Webster]

{Absolute equation}. See under {Absolute}.

{Equation box}, or {Equational box}, a system of differential gearing used in spinning machines for regulating the twist of the yarn. It resembles gearing used in equation clocks for showing apparent time.

{Equation of the center} (Astron.), the difference between the place of a planet as supposed to move uniformly in a circle, and its place as moving in an ellipse.

{Equations of condition} (Math.), equations formed for deducing the true values of certain quantities from others on which they depend, when different sets of the latter, as given by observation, would yield different values of the quantities sought, and the number of equations that may be found is greater than the number of unknown quantities.

{Equation of a curve} (Math.), an equation which expresses the relation between the co["o]rdinates of every point in the curve.

{Equation of equinoxes} (Astron.), the difference between the mean and apparent places of the equinox.

{Equation of payments} (Arith.), the process of finding the mean time of payment of several sums due at different times.

{Equation of time} (Astron.), the difference between mean and apparent time, or between the time of day indicated by the sun, and that by a perfect clock going uniformly all the year round.

{Equation clock} or {Equation watch}, a timepiece made to exhibit the differences between mean solar and apparent solar time. --Knight.

{Normal equation}. See under {Normal}.

{Personal equation} (Astron.), the difference between an observed result and the true qualities or peculiarities in the observer; particularly the difference, in an average of a large number of observation, between the instant when an observer notes a phenomenon, as the transit of a star, and the assumed instant of its actual occurrence; or, relatively, the difference between these instants as noted by two observers. It is usually only a fraction of a second; -- sometimes applied loosely to differences of judgment or method occasioned by temperamental qualities of individuals.

{Theory of equations} (Math.), the branch of algebra that treats of the properties of a single algebraic equation of any degree containing one unknown quantity. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Theory of equations — In mathematics, the theory of equations comprises a major part of traditional algebra. Topics include polynomials, algebraic equations, separation of roots including Sturm s theorem, approximation of roots, and the application of matrices and… …   Wikipedia

  • theory of equations — Math. the branch of mathematics dealing with methods of finding the solutions to algebraic equations. [1790 1800] * * * …   Universalium

  • theory of equations — Math. the branch of mathematics dealing with methods of finding the solutions to algebraic equations. [1790 1800] …   Useful english dictionary

  • theory — [thē′ə rē, thir′ē] n. pl. theories [< Fr or LL: Fr théorie < LL theoria < Gr theōria, a looking at, contemplation, speculation, theory < theōrein: see THEOREM] 1. Obs. a mental viewing; contemplation 2. a speculative idea or plan as… …   English World dictionary

  • Equations of condition — Equation E*qua tion, n. [L. aequatio an equalizing: cf. F. [ e]quation equation. See {Equate}.] 1. A making equal; equal division; equality; equilibrium. [1913 Webster] Again the golden day resumed its right, And ruled in just equation with the… …   The Collaborative International Dictionary of English

  • theory — noun (plural ries) Etymology: Late Latin theoria, from Greek theōria, from theōrein Date: 1592 1. the analysis of a set of facts in their relation to one another 2. abstract thought ; speculation 3. the general or abstract principles of a body of …   New Collegiate Dictionary

  • theory — n. (pl. ies) 1 a supposition or system of ideas explaining something, esp. one based on general principles independent of the particular things to be explained (opp. HYPOTHESIS) (atomic theory; theory of evolution). 2 a speculative (esp.… …   Useful english dictionary

  • Equations de Friedmann — Équations de Friedmann Le contenu de cet article du Portail:Cosmologie a fait l objet d une validation par un chercheur spécialiste du domaine le 18 juillet 2007 (comparer avec la version actuelle). Il est donc en principe exempt d erreur grave.… …   Wikipédia en Français

  • Équations de friedmann — Le contenu de cet article du Portail:Cosmologie a fait l objet d une validation par un chercheur spécialiste du domaine le 18 juillet 2007 (comparer avec la version actuelle). Il est donc en principe exempt d erreur grave. Ce label ne préjuge pas …   Wikipédia en Français

  • Equations de Maxwell — Équations de Maxwell  Ne doit pas être confondu avec Relations de Maxwell. Les équations de Maxwell, aussi appelées équations de Maxwell Lorentz, sont des lois fondamentales de la physique. Elles constituent les postulats de base de l… …   Wikipédia en Français


Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.