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Pursuit of such a research program of successive approximations promises to yield either further evidence for the theory of gravity when the program is successful or the exceptions Newton speaks of in Rule 4 that require the theory to be revised.
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Nevertheless, there is no doubt that his attention was drawn to the theory of invariants of groups, the full analysis of which requires the theory of group representations.
Definitive experimental tests will require that the theory also incorporate and improve upon the standard models of particle physics and cosmology.
We require that the theory induced from the examples explains the examples in terms of the given reasons.
The rivalry predictions from this network require using the theory of Hopf bifurcation in the presence of S 4 symmetry (Stewart [27] and Dias and Rodrigues [31]).
This, in turn, appears to require that the theory yields explicit information about the use of 'horse'barn'rn', etc., or, in other words, that it includes information which goes beyond the logical type of lexical units.
This required the (Normal Theory Weighted Least Squares) Chi-square of the model to be small, i.e. less than twice the number of degrees of freedom (df).
The design of engineering works may require the application of design theory from many fields e.g., hydraulics, thermodynamics, or nuclear physics.
Systemic thinking and the application of systems theory require the employment of a definition of what a system is.
Unfortunately for common sense, these theories require the universe to have ten or even 11 dimensions rather than the familiar three of space and one of time.
Field provides an account of the application of mathematics that does not require the truth of mathematical theories.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com