arbitrary function in a sentence
1) Let __FORMULA__ and __FORMULA__ be arbitrary functions .
arbitrary collocations
2) For example functions could map from arbitrary functions to arbitrary functions...).
3) For example functions could map from arbitrary functions to arbitrary functions ...).
arbitrary function example sentences
4) However, he used the undetermined factor __FORMULA__ as an arbitrary function of __FORMULA__.5) If the arbitrary function is then set to zero, the gauge is said to be fixed.
6) The Hankel transform can express a fairly arbitrary function as an integral of Bessel functions of different scales.
7) I also hope that the ability to use an arbitrary function for verification will provide any necessary flexibility.
8) Arbitrary functions of one variable were provided by cams, with gearing to convert follower movement to shaft rotation.
9) The resulting class of solutions depends on two arbitrary functions , and retains the same pair of commuting Killing vectors.
10) The user supplies an arbitrary function , in the form of a named or lambda expression, which projects the data members.
11) These equations, however, contain the derivatives of U , and hence they depend on the arbitrary functions f(u) and g(v) that are specified by the incoming waves.
12) In his "Théorie Analytique de la Chaleur," Fourier claimed that an arbitrary function could be represented by a Fourier series.
13) Again, consider an arbitrary function f with arguments in A and values in B. Let α and β be the ordered-field isomorphisms from R onto A and B, respectively.
14) Here __FORMULA__ and __FORMULA__ are arbitrary functions selected to give Newtonian and MOND behaviour in the correct limits, and __FORMULA__ is the MOND length scale.
15) Therefore, a solution with such simultaneous for the whole space fictional singularity must exist with a full set of arbitrary functions needed for the general solution.
example sentences with arbitrary function
16) Therefore, the final solution contains overall 10 − 4 − 3 = 3 physically arbitrary functions which is 1 less than what is needed for the general solution in vacuum.17) The second observation is that, once the level surfaces are known, all solutions can then be given in terms of an arbitrary function .
18) Code documents are often organized into a "reference guide" style, allowing a programmer to quickly look up an arbitrary function or class.
19) The skills required to solve a quadratic equation on a calculator are in fact applicable to finding the real roots of any arbitrary function .
20) Perhaps the greatest advantage of ANNs is their ability to be used as an arbitrary function approximation mechanism that 'learns' from observed data.
21) Feature functions are arbitrary functions of document and query, and as such can easily incorporate almost any other retrieval model as just a yet another feature.
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