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A locally adaptive regularization of a hybrid variational model for color image diffusion via integration of diffusion with normalized data. [PDF]

Sci Rep
Arain MB, Amur KB, Tantawy SS, Alburaikan A, Khalifa HAE, Ishtiaq U, Popa IL.   +6 more
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Multi-constraint model predictive control of flexible joint drive system based on unknown state estimator and constraint adaptive hierarchical planning. [PDF]

Sci Rep
Song C, Du Q, Guo X.
europepmc   +1 more source

An Analytic Compact Model for P-Type Quasi-Ballistic/Ballistic Nanowire GAA MOSFETs Incorporating DIBL Effect. [PDF]

Nanomaterials (Basel)
Cheng H, Yang Z, Zhang C, Zhang Z.
europepmc   +1 more source

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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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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. It is due to the translations made by O. Neugebauer in Germany and later, with A. Sachs,
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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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