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Vor 5 Tagen · This can be seen from the reversed Cauchy–Schwarz inequality below. It follows that if the scalar product of two vectors is zero, then one of these, at least, must be space-like. The scalar product of two space-like vectors can be positive or negative as can be seen by considering the product of two space-like vectors having ...
Vor 4 Tagen · More formally, the uncertainty principle is any of a variety of mathematical inequalities asserting a fundamental limit to the product of the accuracy of certain related pairs of measurements on a quantum system, such as position, x, and momentum, p. [1]
Vor 2 Tagen · Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with local hidden-variable theories, given some basic assumptions about the nature of measurement.
Vor 4 Tagen · Kenta Kojin. Abstract. We study a Schwarz–Pick type inequality for the Schur–Agler class \ (SA (B_ {\delta })\). In our operator theoretical approach, von Neumann’s inequality for a class of generic tuples of \ (2\times 2\) matrices plays an important role rather than holomorphy.
Vor einem Tag · Linear Algebra. Henry Maltby , Christopher Williams , Jimin Khim , and. 1 other. contributed. Linear algebra is an area of study in mathematics that concerns itself primarily with the study of vector spaces and the linear transformations between them. Linear algebra initially emerged as a method for solving systems of linear equations.
Vor 17 Stunden · The paper introduces a powerful method for developing lightweight designs and enhancing the load-bearing capacity of common structures. The method, referred to as the ‘method of aggregation’, has been derived from reverse engineering of sub-additive and super-additive algebraic inequalities. The essence of the proposed method is consolidating multiple elements loaded in bending into a ...
Vor 3 Tagen · In this paper, we consider a class of structured DC programming, where the objective function is the difference of two (possibly nonsmooth) convex functions, and the constraint is a linear function belonging to a nonempty closed convex set. To fully exploit the favorable structure of the problem under consideration, we propose an implementable algorithm, proximal Alternating Direction Method ...
