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British Prime Minister Margaret Thatcher and US President Ronald Reagan in 1985. Their strong bond epitomised UK–US relations in the late 20th century.. The Special Relationship is a term that is often used to describe the political, social, diplomatic, cultural, economic, legal, environmental, religious, military and historic relations between the United Kingdom and the United States or its ...
In the early 21st century, Britain affirmed its relationship with the United States as its "most important bilateral partnership" in current British foreign policy, [1] and the American foreign policy also affirms its relationship with Britain as its most important relationship, [2] [3] as evidenced in aligned political affairs, mutual ...
Every Laurent polynomial can be written as a rational function while the converse is not necessarily true, i.e., the ring of Laurent polynomials is a subring of the rational functions. The rational function f ( x ) = x x {\displaystyle f(x)={\tfrac {x}{x}}} is equal to 1 for all x except 0, where there is a removable singularity .
The image of a function f(x 1, x 2, …, x n) is the set of all values of f when the n-tuple (x 1, x 2, …, x n) runs in the whole domain of f.For a continuous (see below for a definition) real-valued function which has a connected domain, the image is either an interval or a single value.
The sheaf of rational functions K X of a scheme X is the generalization to scheme theory of the notion of function field of an algebraic variety in classical algebraic geometry. In the case of algebraic varieties , such a sheaf associates to each open set U the ring of all rational functions on that open set; in other words, K X ( U ) is the ...
The rational actor model is based on rational choice theory. The model adopts the state as the primary unit of analysis, and inter-state relations (or international relations) as the context for analysis. The state is seen as a monolithic unitary actor, capable of making rational decisions based on preference ranking and value maximization.
A special relationship is a diplomatic relationship that is especially strong and important. This term is usually used to refer to the relationship between the United States and the United Kingdom .
A generalization to the matrix case (matrices with polynomial function entries that are always positive semidefinite can be expressed as sum of squares of symmetric matrices with rational function entries) was given by Gondard, Ribenboim [13] and Procesi, Schacher, [14] with an elementary proof given by Hillar and Nie.