Bessel functions, central to many problems in mathematical physics, provide solutions to differential equations that describe wave propagation, heat conduction and vibrations in cylindrical or ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

The inequality will be solved when \({m}\) is isolated on one side of the inequality. This can be done by using inverse operations on each stage of the sum. The final answer is ...

Show values that satisfy an inequality on a set of axes by drawing the line of the corresponding equation and shading the area specified in a question. Include a dashed line for inequalities where the ...

The Annals of Probability, Vol. 7, No. 6 (Dec., 1979), pp. 1051-1055 (5 pages) An inequality for certain random sequences more general than martingales or nonnegative submartingales is proved. Three ...