weak derivative
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Weak derivative — In mathematics, a weak derivative is a generalization of the concept of the derivative of a function ( strong derivative ) for functions not assumed differentiable, but only integrable, i.e. to lie in the Lebesgue space L^1( [a,b] ). See… … Wikipedia
Weak formulation — Weak formulations are an important tool for the analysis of mathematical equations that permit the transfer of concepts of linear algebra to solve problems in other fields such as partial differential equations. In a weak formulation, an equation … Wikipedia
Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) … Wikipedia
Weak solution — In mathematics, a weak solution (also called a generalized solution) to an ordinary or partial differential equation is a function for which the derivatives appearing in the equation may not all exist but which is nonetheless deemed to satisfy… … Wikipedia
Derivative of a constant — In calculus, the derivative of a constant function is zero (A constant function is one that does not depend on the independent variable, such as f(x) = 7). The rule can be justified in various ways. The derivative is the slope of the tangent to… … Wikipedia
weak — [13] Etymologically, something that is weak is ‘bendable’. The word was borrowed from Old Norse veikr. This was descended from prehistoric Germanic *waikwaz, which also produced German weich and Dutch week ‘soft’. And this in turn was formed from … The Hutchinson dictionary of word origins
weak — [13] Etymologically, something that is weak is ‘bendable’. The word was borrowed from Old Norse veikr. This was descended from prehistoric Germanic *waikwaz, which also produced German weich and Dutch week ‘soft’. And this in turn was formed from … Word origins
Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… … Wikipedia
Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… … Wikipedia
Sobolev space — In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp norms of the function itself as well as its derivatives up to a given order. The derivatives are understood in a suitable weak sense… … Wikipedia
List of mathematics articles (W) — NOTOC Wad Wadge hierarchy Wagstaff prime Wald test Wald Wolfowitz runs test Wald s equation Waldhausen category Wall Sun Sun prime Wallenius noncentral hypergeometric distribution Wallis product Wallman compactification Wallpaper group Walrasian… … Wikipedia
