Results 231 to 240 of about 705,175 (281)

The quadratic function and quadratic equations

1985
The function f(x), where f(x) = ax2 + bx + c, and a, b, c are constants, a ≠ 0, is called a quadratic function, or sometimes a quadratic polynomial. From elementary algebra $${(x + d)^2} \equiv {x^2} + 2dx + {d^2}.$$ Using this, we write $$a{x^2} + bx + c \equiv a\left( {{x^2} + \frac{b}{a}x + \frac{c}{a}} \right) \equiv a\left[ {{{\left( {x
J. E. Hebborn, C. Plumpton
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Quadratic Operators and Quadratic Functional Equation

2012
In the first part of this paper, we consider some quadratic difference operators (e.g., Lobaczewski difference operators) and quadratic-linear difference operators (d’Alembert difference operators and quadratic difference operators) in some special function spaces X λ . We present results about boundedness and find the norms of such operators.
M. Adam, S. Czerwik
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Simultaneous Quadratic Equations

The American Mathematical Monthly, 1896
(1896). Simultaneous Quadratic Equations. The American Mathematical Monthly: Vol. 3, No. 5, pp. 137-138.
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Temporal walk-off induced dissipative quadratic solitons

Nature Photonics, 2022
Arkadev Roy, Rajveer Nehra, Saman Jahani
exaly  

Simultaneous Quadratic Equations

Journal of the London Mathematical Society, 1971
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Quadratic Equations

2023
Vassilis C. Mavron, Timothy N. Phillips
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Quadratic Interpolation Optimization (QIO): A new optimization algorithm based on generalized quadratic interpolation and its applications to real-world engineering problems

Computer Methods in Applied Mechanics and Engineering, 2023
Liying Wang, Zhenxing Zhang
exaly  

Quadratic Functional Equations

2009
Quadratic functional equations, bilinear forms equivalent to the quadratic equation, and some generalizations are treated in this chapter. Among the normed linear spaces (n.l.s.), inner product spaces (i.p.s.) play an important role. The interesting question when an n.l.s. is an i.p.s. led to several characterizations of i.p.s.
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OSQP: an operator splitting solver for quadratic programs

Mathematical Programming Computation, 2020
Bartolomeo Stellato, Goran Banjac, Paul J Goulart   +2 more
exaly  

4. Quadratic equations

2015
A quadratic equation is one involving a squared term and takes on the form ax2 + bx + c = 0. Quadratic expressions are central to mathematics, and quadratic approximations are extremely useful in describing processes that are changing in direction from moment to moment. ‘Quadratic equations’ outlines the three-stage solution process.
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