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quadratic
quadrat
quadrat An ecological sampling unit consisting of a small square area of ground within which all species of interest are noted or measurements taken. Quadrats may be spaced over a larger area to form an overall view when a total survey would be impracticable, or they may be used to sample along a
transect.
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A multidimensional functional equation having quadratic forms as solutions.(Research Article)(Report)
Magazine article from: Journal of Inequalities and Applications; 1/1/2007; ; 700+ words
; ...and the stability of the m-variable quadratic functional equation f([x.sub.1...1], ..., [y.sub.m]). The quadratic form f ([x.sub.1...vector spaces. A mapping f is called a quadratic form if there exist [a.sub.ij...
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Generalized stability of [C.sup.*]-ternary quadratic mappings.(Research Article)
Magazine article from: Abstract and Applied Analysis; 1/1/2007; ; 700+ words
; ...stability of [C.sup.*]-ternary quadratic mappings in [C.sup.*]-ternary rings for the quadratic functional equation f (x + y)+ f...2f (y) (1.3) is called the quadratic functional equation whose solution is...
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Cardinality constrained linear-quadratic control in discrete time.
Magazine article from: International Journal of Tomography & Statistics; 1/1/2007; ; 700+ words
; ...considers a discrete-time linear-quadratic control problem with a limited number...the cardinality constrained linear-quadratic control problem (CCLQ) in discrete...solution scheme for discrete-time linear-quadratic control problems with set-up costs...
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All square: a surprising, far-reaching overhaul for theories about quadratic expressions.
Magazine article from: Science News; 3/11/2006; ; 700+ words
; ...Ramanujan focused on quadratic expressions of the...found the 53 universal quadratics in that group. For...z, and t in the quadratic form [x.sup.2...a certain group of quadratic forms into universal...expressions. The universal quadratics previously recognized...
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A successive linear programming algorithm for SDP relaxation of binary quadratic programming (1).(Technical report)
Magazine article from: Scientia Magna; 12/1/2007; ; 700+ words
; ...programming (SDP) relaxation of the binary quadratic programming. Combining with a randomized...efficient approximation for the binary quadratic programming. Furthermore, its convergence...method on Maxcut problem. Keywords Binary quadratic programming, successive quadratic programming...
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Interval stochastic quadratic programming approach for municipal solid waste management.(Report)
Magazine article from: Journal of Environmental Engineering and Science; 11/1/2008; ; 700+ words
; ...and Chang 2003). [FIGURE 1 OMITTED] Quadratic programming (QP) is a useful tool for...for solving optimization problems with quadratic objective function and several fuzzy...a stochastic quasigradient method for quadratic optimization under dependent observations...
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Quadratic interpolation and linear lifting design.(Research Article)(Report)
Magazine article from: International Journal of Image and Video Processing; 1/1/2007; ; 700+ words
; A quadratic image interpolation method is stated...theory of convex optimization to minimize quadratic functions with linear constraints. The...design of lifting steps based on adaptive quadratic interpolation methods. First, a family...
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Hyers-Ulam-Rassias stability of the Apollonius type quadratic mapping in non--Archimedean spaces.
Magazine article from: Tamsui Oxford Journal of Mathematical Sciences; 12/15/2008; ; 700+ words
; ...x) + 2Q(y), (3) is called a quadratic functional equation, and every solution of equation (3) is said to be a quadratic mapping. F. Skof (24) proved the Hyers--Ulam stability of the quadratic functional equation (3) for mappings...
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Students' preferences when solving quadratic inequalities.
Magazine article from: Focus on Learning Problems in Mathematics; 1/1/2006; ; 700+ words
; ...with a number of methods for solving quadratic inequalities. Twenty 10th graders were...Students' Preferences When Solving Quadratic Inequalities When planning instruction...with regard to the process of solving quadratic inequalities. The literature commonly...
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Stability problem of Ulam for Euler-Lagrange quadratic mappings.(Research Article)
Magazine article from: Journal of Inequalities and Applications; 1/1/2007; ; 700+ words
; ...for multidimensional Euler-Lagrange quadratic mappings which extend the original Euler-Lagrange quadratic mappings. 1. Introduction In 1940...Rassias introduced the Euler-Lagrange quadratic mappings, motivated from the following...
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Quadratic Formula and Equations
Book article from: Mathematics
...and Equations A quadratic equation is an...exponent on x is 2. Quadratics most commonly refer...factoring, using the quadratic formula, and completing...square. Solving Quadratic Equations by Factoring Not all quadratics can easily be factored...
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quadratic
Book article from: The Columbia Encyclopedia, Sixth Edition
quadratic mathematical expression of the second...unknowns (see polynomial ). The general quadratic in one unknown has the form ax 2 + bx...are constants and x is the variable. A quadratic equation ax 2 + bx + c =0 always has...
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sequential quadratic programming
Book article from: A Dictionary of Computing
sequential quadratic programming A widely used and successful...2 ,…,λ t ) A quadratic approximation to this function is now...with linearized constraints forms a quadratic programming problem – i...
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quadratic equation
Book article from: World Encyclopedia
quadratic equation Algebraic equation in which the highest exponent of the variable is 2; an equation of the second degree. A quadratic equation has the general form ax 2 + bx + c = 0, where a , b and c are constants. It has, at most, two...
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quadratic spline
Book article from: A Dictionary of Computing
quadratic spline A spline of degree 2.
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