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How in particular could physics, the science of motion in space and time, be possible if the pure forms of intuition, space and time, were banished from science?[38] The point is that the scientific or epistemic value of, say, astronomy, is not to be found in what is given and observable by the senses, but rather in the mathematical exactness of its equations.
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The mathematical exactness for retrieving the group velocity of equatorial waves times wave energy has been achieved by the set of (17a) and (17b)—what we call the level-0 expression.
"Show me the manner in which a nation cares for its dead, and I will measure with mathematical exactness the tender mercies of its people," William Gladstone, the British statesman, is said to have observed.
And empirical estimates are being replaced by mathematical exactness.Welcome to the world of bioinformatics—a branch of computing concerned with the acquisition, storage and analysis of biological data.
A fully condensed elemental equilibrium equations as mathematical exactness in the piece-wise linear sense is explicitly derived within AFEM formulation.
To summarize, the set of (18a) and (18c) [together with the boundary condition (17c)] what we call the level-2 expression originates from a trade-off between mathematical exactness and practical accessibility.
Łukasiewicz's verdict on Aristotle's categorical syllogistic is, that despite its narrowness, it is "a system the exactness of which surpasses even the exactness of a mathematical theory, and this is its everlasting merit".
Numerical results are also provided, sustained by simulations which corroborate the exactness of the theoretical analysis.
Nor, therefore, is exactness of language.
We also state sufficient conditions for the exactness of turnpikes.
Ozawa found useful characterizations of weak exactness and he proved that weak exactness for group von Neumann algebras is equivalent to exactness of the groups.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com