linear equation

(redirected from Linear equations)
Also found in: Thesaurus, Medical, Encyclopedia.

linear equation

n.
An algebraic equation, such as y = 2x + 7 or 3x + 2y - z = 4, in which the highest degree term in the variable or variables is of the first degree. The graph of such an equation is a straight line if there are two variables.

linear equation

n
(Mathematics) a polynomial equation of the first degree, such as x + y = 7

lin′ear equa′tion


n.
a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.linear equation - a polynomial equation of the first degree
equation - a mathematical statement that two expressions are equal
References in periodicals archive ?
Bazlar Rahman, Solving Linear Equations Using a Jacobi Based Time-Variant Adaptive Hybrid Evolutionary Algorithm, Procs.
They cover regularization methods for linear equations, finite difference methods, iterative regularization methods, finite-dimensional iterative processes, and variational inequalities and optimization problems.
In various fields of sciences, in solving real-life problems, where the system of linear equations is noticed, there are situations where the values of the parameters cannot be stated exactly, but their estimation or some bounds on them can be measured.
The equation can be found using only the algebra of quadratic functions, and the method for solving two simultaneous linear equations. Here is an opportunity to bring together the concepts of parabolas, simultaneous equations, and regression, to reveal hidden connections across the curriculum (Goos et al., 2017, chapter 3; Sullivan, 2011, p.
Third, we present a parallel solving system of linear equations in GF([([2.sup.4]).sup.2])) based on Gauss-Jordan elimination, which is based on the work in [28].
The ships are inputted as linear equations into Desmos.
It has been shown that if the linear equations are not too ill-conditioned, the iterative sequence of the approximate solution will be convergent to the solution.
Topics in pre-algebra include: exponents, solving equations, and linear equation. The algebra topics include: graphing linear equations and inequalities, exponents, and roots and radicals.
Previous studies using two linear equations for velocities higher and lower than 0.3 m [s.sup.-1], for the same current meter propellers, reported that for low velocities the linear equation is no longer adequate, and proposed an exponential model (Eq.
The security of our scheme is mainly based on the basic theories for solving linear equations. Compared with other centralized key distribution schemes of Key trees, or hierarchical key structures, our scheme has four highlighted advantages: 1) Our proposed scheme is not based on any difficult assumption; 2) When any group member joins/leaves the group, the number of auxiliary secrets (or keys) required to be updated is O(1) instead of O(logN); 3) In order to obtain the group key, the computation cost of each group member is very low because it only needs to compute one inner product instead of other complex cryptographic operations; 4) It can provide group key authentication without using encryption and signature techniques.
When it originally launched on iOS and Windows Phone, the app supported arithmetic expressions, fractions and decimals, powers and roots, and simple linear equations. For the Android version, MicroBlink has added a number of new features.
Since giving crisp calculations are difficult in different calculations and usually measurements get through fuzzy arithmetic, it is important to necessity of development of linear algebra to fuzzy linear algebra specially in solving linear equations and mutual equations.

Full browser ?