Results 231 to 240 of about 708,238 (289)

Quadratic diophantine equations

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1960
Tartakowsky (1929) proved that a positive definite quadratic form, with integral coefficients, in 5 or more variables represents all but at most finitely many of the positive integers not excluded by congruence considerations. Tartakowsky’s argument does not lead to any estimate for a positive integer which, though not so excluded, is not represented ...
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Quadratic Convolution Equations

Journal of Mathematics and Physics, 1942
Not ...
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Quadratic Diophantine Equations

2004
34.1. We take a nondegenerate quadratic space \((V,\,{\varphi})\) of dimension \(\,n\,\) over a local or global field F in the sense of §21.1.
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Quadratic equations

2021
This chapter discusses quadratic equations and quadratic functions, which are the simplest type of non-linear relationship. It illustrates that a quadratic function, when graphed, produces a characteristically U-shaped curve. The chapter then shows how to solve quadratic equations, including simultaneous quadratic equations.
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The Babylonian Quadratic Equation

The Mathematical Gazette, 1956
The purpose of this note is to show at a glance the significance of successive steps in the solutions to some of the quadratic equations that have come down in the cuneiform texts as examples of the mathematical instruction given to Babylonian students c. 1600 B.C .
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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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