In mathematics, auxiliary functions are an important construction in transcendental number theory. They are functions that appear in most proofs in this area of mathematics and that have specific, desirable properties, such as taking the value zero for many arguments, or having a zero of high order at some point.[1]
^Waldschmidt (2008).
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In mathematics, auxiliaryfunctions are an important construction in transcendental number theory. They are functions that appear in most proofs in this...
attitude of the unconscious. Later in the book, Jung describes the auxiliaryfunction as being capable of some significant development or differentiation...
\mathbb {C} } . The Jacobi theta function defined above is sometimes considered along with three auxiliary theta functions, in which case it is written with...
grammatical behavior, as described below. In some cases, verbs that function similarly to auxiliaries, but are not considered full members of that class (perhaps...
To incorporate these conditions into one equation, we introduce an auxiliaryfunction L ( x , y , λ ) ≡ f ( x , y ) + λ ⋅ g ( x , y ) , {\displaystyle {\mathcal...
In quantum mechanics and quantum field theory, the propagator is a function that specifies the probability amplitude for a particle to travel from one...
dominant function is supported by two auxiliaryfunctions. (In MBTI publications the first auxiliary is usually called the auxiliary or secondary function and...
Euler's identity. This work centred on use of the so-called auxiliaryfunction. These are functions which typically have many zeros at the points under consideration...
a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function. In other words, a...
The Museum of Jurassic Technology at 9341 Venice Boulevard in the Palms district of Los Angeles, California, was founded by David Hildebrand Wilson and...
function C(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D Plot of the Fresnel auxiliary function...
support functions or performing certain duties such as garrison troops, usually on a part-time basis. Unlike a military reserve force, an auxiliary force...
four main functions of consciousness: two perceiving or non-rational functions (Sensation and Intuition), and two judging or rational functions (Thinking...
Auxiliary polynomial is a term in mathematics which may refer to: The auxiliaryfunction argument in transcendence theory The characteristic polynomial...
program used by technical writers to create online help systems. The basic functions of a Help Authoring Tool (HAT) can be divided into the following categories:...
Trigonometric integrals can be understood in terms of the so-called "auxiliaryfunctions" f ( x ) ≡ ∫ 0 ∞ sin ( t ) t + x d t = ∫ 0 ∞ e − x t t 2 + 1 d...
inspecting the shaft, reduction gears, bearings, and turbines. As an auxiliaryfunction, the jacking gear also helps to maintain a protective oil membrane...
corresponding virial expansions. The auxiliaryfunction y ( r ) {\displaystyle y(r)} is known as the cavity distribution function.: Table 4.1 It has been shown...
these languages heavily use auxiliaryfunctions called thunks to compute the argument values, and memoize these functions to avoid repeated calculations...
or shadow vessel, are specialized ships which provide support and auxiliaryfunctions for large sailing and motor yachts. Support yachts are generally...
An auxiliary power unit (APU) is a device on a vehicle that provides energy for functions other than propulsion. They are commonly found on large aircraft...
of "verbs in auxiliaryfunction" that "In contrast to full [i.e. lexical] verbs, [these verbs] are capable of functioning as auxiliary or 'helping' verbs...
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