Moscow, Russia

Quantitative Texture Analysis

Language: English Studies in English
University website: mipt.ru/english/
4 years
Analysis
Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though analysis as a formal concept is a relatively recent development.
Quantitative
Quantitative information or data is based on quantities obtained using a quantifiable measurement process. In contrast, qualitative information records qualities that are descriptive, subjective or difficult to measure.
Analysis
By this way of Analysis we may proceed from Compounds to Ingredients, and from Motions to the Forces producing them; and in general, from Effects to their Causes, and from particular Causes to more general ones, till the Argument end in the most general. This is the Method of Analysis: and the Synthesis consists in assuming the Causes discover'd, and establish'd as Principles, and by them explaining the Phænomena proceeding from them, and proving the Explanations.
Isaac Newton, Opticks (1704) {pp. 380-381 in 4th edition (1730)}
Analysis
The investigation of difficult things by the method of analysis ought ever to precede the method of composition.
Isaac Newton, reported in Austin Allibone ed. Prose Quotations from Socrates to Macaulay. (1903), p. 34
Analysis
The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists in the analysis of Symbolic Logic itself.
Bertrand Russell, Principles of Mathematics (1903), Ch. I: Definition of Pure Mathematics, p. 5
Scarcity of fresh water is of growing concern in the Mediterranean area due to urbanisation, irrigation and changing rainfall patterns. The influx of millions of Sun-seeking tourists puts even more pressure on limited water resources during the summer season.
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