In mathematics, a hyperbolic partial differential equation of order is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first derivatives. More precisely, the Cauchy problem can be locally solved for arbitrary initial data along any non-characteristic hypersurface.Many of the equations of mechanics are hyperbolic, …

Spectrum of a bounded operator Definition. Let be a bounded linear operator acting on a Banach space over the complex scalar field , and be the identity operator on .The spectrum of is the set of all for which the operator does not have an inverse that is a bounded linear operator.. Since is a linear operator, the inverse is linear if it exists; and, by the bounded inverse theorem, it is …

In the mathematical fields of partial differential equations and geometric analysis, the maximum principle is any of a collection of results and techniques of fundamental importance in the study of elliptic and parabolic differential equations.. In the simplest case, consider a function of two variables u(x,y) such that + = The weak maximum principle, in this setting, says that for any …

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Christianity is an Abrahamic monotheistic religion based on the life and teachings of Jesus of Nazareth. It is the world's largest and most widespread religion with roughly 2.38 billion followers representing one-third of the global population. Its adherents, known as Christians, are estimated to make up a majority of the population in 157 countries and territories and are a minority in all ...

Her work has generated productive discussions about how to define femininity and sexual difference, whether strategic essentialism should be employed, and assessing the risk involved in engaging categories historically used to oppress women. ... lifeless, inessential matter. With this critique in place, Irigaray suggests how women can begin to ...

Superfluous definition, being more than is sufficient or required; excessive. See more.

Online release of Data-Oriented Design : This is the free, online, reduced version. Some inessential chapters are excluded from this version, but in the spirit of this being an education resource, the essentials are present for anyone wanting to learn about data-oriented design.

Dec 8, 2022 · Even my magpie preference for beauty over practicality necessitates some provision of the blissfully inessential to keep me resident; galleries, parks, libraries.

Feb 8, 1996 · Ontological arguments are arguments, for the conclusion that God exists, from premises which are supposed to derive from some source other than observation of the world—e.g., from reason alone.