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Ask AI3: What is mathematics?
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This is an unsolved problem which probably has never been seriously investigated, although one frequently hears the comment that we have insufficient specialists of the kind who can compete with the Germans or Swiss, for example, in precision machinery and mathematics, or the Finns in geochemistry.
There had not yet supervened between understanding and expression the new languages of mathematics and scientific formulas.
Next September, after receiving a degree from Yale's Master of Arts in Teaching Program, I will be teaching somewhere -- that much is guaranteed by the present shortage of mathematics teachers.
Scientists say that the world and everything in it are based on mathematics.
But because science is based on mathematics doesn't mean that a hot rodder must necessarily be a mathematician.
They involve only simple mathematics that are taught in grammar school arithmetic classes.
Any fraction of an inch involved in the measurement must be converted to a decimal equivalent to simplify the mathematics.
From the town surveyor, Hans learned drawing and mathematics and, from a university student, some academic subjects.
Like primitive numbers in mathematics, the entire axiological framework is taken to rest upon its operational worth.
In the new situation, philosophy is able to provide the social sciences with the same guidance that mathematics offers the physical sciences, a reservoir of logical relations that can be used in framing hypotheses having explanatory and predictive value.
He not only knew soldiering, but mathematics, history and literature as well.
So, too, is the mathematical competence of a college graduate who has majored in mathematics.
This would provide for long-term Federal loans for construction of parochial and other private-school facilities for teaching science, languages and mathematics.
The principal of the school announced that -- despite the help of private tutors in Hollywood and Philadelphia -- Fabian is a 10-o'clock scholar in English and mathematics.
These keys are the working principles of physics, mathematics and astronomy, principles which are then extrapolated, or projected, to explain phenomena of which we have little or no direct knowledge.
The participants were Professor H. Bondi, professor of mathematics at King's College, London ; ;
Dr. W. B. Bonnor, reader in mathematics at Queen Elizabeth College, London ; ;
and Dr. G. J. Whitrow, reader in applied mathematics at the Imperial College of Science and Technology, London.
Connes has applied his work in areas of mathematics and theoretical physics, including number theory, differential geometry and particle physics.
Pythagoras believed that behind the appearance of things, there was the permanent principle of mathematics, and that the forms were based on a transcendental mathematical relation.
Just as in the arts the Greeks sought some reality behind appearances, so in mathematics they sought permanent principles which could be applied wherever the conditions were the same.
Artists and sculptors tried to find this ideal order in relation with mathematics, but they believed that this ideal order revealed itself not so much to the dispassionate intellect, as to the whole sentient self.
In mathematics and statistics, the arithmetic mean, or simply the mean or average when the context is clear, is the central tendency of a collection of numbers taken as the sum of the numbers divided by the size of the collection.
The term " arithmetic mean " is preferred in mathematics and statistics because it helps distinguish it from other means such as the geometric and harmonic mean.
In addition to mathematics and statistics, the arithmetic mean is used frequently in fields such as economics, sociology, and history, though it is used in almost every academic field to some extent.

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