linear constraint - significado y definición. Qué es linear constraint
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Qué (quién) es linear constraint - definición

EQUATION THAT DOES NOT INVOLVE POWERS OR PRODUCTS OF VARIABLES
Linear equations; Point-slope; Point-slope formula; Point-slope equation; Point-slope form; Slope-intercept form; Y=mx+b; Slope intercept form; Y-y1=m(x-x1); Y = mx + b; Point slope form; Point slope formula; Y=x; Ax+By=C; Y=mx+c; Y-b=m(x-a); Linear equality; Linear Equation; Slope-intercept; Equation of a straight line; Equation of the straight line; Line equation; Intercept terms; First degree equation; First-degree equation; Point–slope form; Slope–intercept form; Y=b+mx; Ax+b=0; Linear constraint; Y line; Line Y; Equation of a line through 2 points
  • Two graphs of linear equations in two variables

Constraint (computational chemistry)         
  • Resolving the constraints of a rigid water molecule using [[Lagrange multipliers]]: a) the unconstrained positions are obtained after a simulation time-step, b) the [[gradients]] of each constraint over each particle are computed and c) the Lagrange multipliers are computed for each gradient such that the constraints are satisfied.
METHOD FOR SATISFYING THE NEWTONIAN MOTION OF A RIGID BODY WHICH CONSISTS OF MASS POINTS
SHAKE (constraint); SETTLE (constraint); LINCS (constraint); Constraint algorithm (mechanics); SHAKE algorithm; Simple constraint; M-SHAKE; SETTLE (algorithm); SETTLE; Constraint algorithm
In computational chemistry, a constraint algorithm is a method for satisfying the Newtonian motion of a rigid body which consists of mass points. A restraint algorithm is used to ensure that the distance between mass points is maintained.
Geometric constraint solving         
CONSTRAINT SATISFACTION IN A COMPUTATIONAL GEOMETRY SETTING
Draft:Geometric constraint solving
Geometric constraint solving is constraint satisfaction in a computational geometry setting, which has primary applications in computer aided design. A problem to be solved consists of a given set of geometric elements and a description of geometric constraints between the elements, which could be non-parametric (tangency, horizontality, coaxiality, etc) or parametric (like distance, angle, radius).
Budget constraint         
  • Budget constraint, where <math>A=\frac{m}{P_y}</math> and <math>B=\frac{m}{P_x}</math>
  • An individual should consume at (Qx, Qy).
  • Point X is unobtainable given the current "budget" constraints on production.
THE COMBINATIONS OF GOODS AND SERVICES THAT A CONSUMER MAY PURCHASE GIVEN CURRENT PRICES WITHIN THEIR GIVEN INCOME
Budget line; Resource constraint; Individual budget constraint; Budget Constraint; Soft budget constraint
In economics, a budget constraint represents all the combinations of goods and services that a consumer may purchase given current prices within his or her given income. Consumer theory uses the concepts of a budget constraint and a preference map as tools to examine the parameters of consumer choices .

Wikipedia

Linear equation

In mathematics, a linear equation is an equation that may be put in the form a 1 x 1 + + a n x n + b = 0 , {\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0,} where x 1 , , x n {\displaystyle x_{1},\ldots ,x_{n}} are the variables (or unknowns), and b , a 1 , , a n {\displaystyle b,a_{1},\ldots ,a_{n}} are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a 1 , , a n {\displaystyle a_{1},\ldots ,a_{n}} are required to not all be zero.

Alternatively, a linear equation can be obtained by equating to zero a linear polynomial over some field, from which the coefficients are taken.

The solutions of such an equation are the values that, when substituted for the unknowns, make the equality true.

In the case of just one variable, there is exactly one solution (provided that a 1 0 {\displaystyle a_{1}\neq 0} ). Often, the term linear equation refers implicitly to this particular case, in which the variable is sensibly called the unknown.

In the case of two variables, each solution may be interpreted as the Cartesian coordinates of a point of the Euclidean plane. The solutions of a linear equation form a line in the Euclidean plane, and, conversely, every line can be viewed as the set of all solutions of a linear equation in two variables. This is the origin of the term linear for describing this type of equations. More generally, the solutions of a linear equation in n variables form a hyperplane (a subspace of dimension n − 1) in the Euclidean space of dimension n.

Linear equations occur frequently in all mathematics and their applications in physics and engineering, partly because non-linear systems are often well approximated by linear equations.

This article considers the case of a single equation with coefficients from the field of real numbers, for which one studies the real solutions. All of its content applies to complex solutions and, more generally, for linear equations with coefficients and solutions in any field. For the case of several simultaneous linear equations, see system of linear equations.