It is by essentially similar processes that we learn speaking, writing, mathematics, or the government of an empire.
"The Analysis of Mind" by Bertrand Russell
All this was quite true, but Newton did not succeed in establishing it by a mathematical process.
"Biographies of Distinguished Scientific Men" by Francois Arago
Those who desire to follow the process by mathematical formula are referred to pages 9 and 10, Bulletin No.
"Scientific American Supplement, No. 633, February 18, 1888" by Various
The consideration shall be brief as a mathematical process.
"The Atlantic Monthly, Volume 14, No. 85, November, 1864" by Various
Descartes's method in philosophy gives signs of formation on the model of a process in mathematics.
"Library of the World's Best Literature, Ancient and Modern Volume 11" by Various
It is customary to treat "estimate of situation" as if it were pure mathematical process, pointing almost infallibly to a definite result.
"The Armed Forces Officer" by U. S. Department of Defense
Action and reaction are definite mathematical processes.
"The New Avatar and The Destiny of the Soul" by Jirah D. Buck
Such a process is mathematically correct, because all of the units comprising the 3, 4, and 8 are exactly alike.
"The New Education" by Scott Nearing
Since then the process of mathematical synthesis in science has been carried many stages further.
"Progress and History" by Various
It owes to astronomy all that it knows of mathematical processes and planetary positions.
"The Astronomy of the Bible" by E. Walter Maunder
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Mathematically the problem is formulated in terms of SDE for a complex-valued probability process deﬁned on the extended space R1 ⊗ R{ξ} .
Exactly solvable models of quantum mechanics including fluctuations in the framework of representation of the wave function by random process
In this communication we prove that this non-stationary random process is mathematically well deﬁned, and show that generalizations of the fundamental results for stationary processes, like Wiener-Khintchine theorem and Cram`er representation, exist.
Resampled random processes in gravitational-wave data analysis
The main result of this communication, proven in the next section, will be to show that this non-sationary random process is mathematically well deﬁned and generalizations of the fundamental results for stationary processes like Wiener-Khintchine theorem and cram`er representation exist.
Resampled random processes in gravitational-wave data analysis
Indeed for the resampled process which is non-stationary the concept of spectrum is not mathematically well deﬁned.
Resampled random processes in gravitational-wave data analysis
Jouannot, in: Mathematical Morphology and Applications to Image Processing.
Euler-Poincare' Characteristic and Phase Transition in the Potts Model
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