## Boundary value problem

In mathematics , in the field of differential equations , a **boundary value** problem is a differential equation together with a set of additional restraints, called the **boundary** conditions . A solution to a **boundary value** problem is a solution to the differential equation which also satisfies

**wikipedia.org**| 2011/5/25 17:06:03

## Elliptic boundary value problem

In mathematics , an elliptic **boundary value** problem is a special kind of **boundary value** problem which can be thought of as the stable state of an evolution problem . For example, the Dirichlet problem for the Laplacian gives the eventual distribution of heat in a room several hours

**wikipedia.org**| 2011/5/5 6:56:08

## Lagrange's identity (boundary value problem)

In the study of ordinary differential equations and their associated **boundary value** problems , Lagrange's identity , named after Joseph Louis Lagrange , gives the **boundary** terms arising from integration by parts of a self-adjoint linear differential operator . Lagrange's identity is fundamental

**wikipedia.org**| 2011/9/18 6:48:21

## Boundary-value analysis

-------------|------------------- invalid partition 1 valid partition invalid partition 2 The **boundary** between two partitions is the place where the behavior of the application changes and is not a real number itself. The **boundary value** is the minimum (or maximum) **value** that is at the

**wikipedia.org**| 2011/5/17 1:27:18

## Aroostook War

undeclared confrontation in 1838/1839 between the United States and Great Britain over the international **boundary** between British North America (Canada) and Maine. The dispute resulted in a mutually accepted border between the state of Maine and the provinces of New Brunswick and Quebec

**wikipedia.org**| 2011/3/29 21:08:39

## Cauchy boundary condition

In mathematics , a Cauchy (pronounced /koʊˈʃiː/ ) **boundary** condition imposed on an ordinary differential equation or a partial differential equation specifies both the values a solution of a differential equation is to take on the **boundary** of the domain and the normal derivative

**wikipedia.org**| 2011/8/26 3:57:58

## Sorites paradox

paradox 1.1 Paradox of the heap 1.2 Variations 2 Proposed resolutions 2.1 Setting a fixed **boundary** 2.2 Unknowable boundaries (or Epistemicism) 2.3 Supervaluationism 2.4 Truth gaps, gluts, and many-valued logics 2.5 Hysteresis 2.6 Group consensus 3 See also 4 References

**wikipedia.org**| 2011/5/8 17:44:41

## Minimal negation operator

the terms are disjoint. The minimal negation operator ( mno ) has a legion of aliases: logical **boundary** operator , limen operator , threshold operator , or least action operator , to name but a few. The rationale for these names is visible in the venn diagrams of the corresponding operations

**wikipedia.org**| 2011/3/25 21:50:02

## Critical value

In differential topology , a critical **value** of a differentiable function ƒ : M → N between differentiable manifolds is the image **value** ) ƒ( x ) in N of a critical point x in M . The basic result on critical values is Sard's lemma . The set of critical values can be quite irregular

**wikipedia.org**| 2011/4/18 21:12:54