Space-time in simple terms is a mathematical model that combines space and time into a single continuum.
In 1852 he graduated at Harvard, and became computer to the American Ephemeris and Nautical Almanac. He made his name by contributions on mathematical and physical subjects in the Mathematical Monthly.
We may now investigate the mathematical expression for the disturbance propagated in any direction from a small particle upon which a beam of light strikes.
But these defects need not blind us to the fact that this hypothesis made the mathematical progress of Hooke, Borelli and Newton much more easy and certain.
P. Mahaffy, Descartes (1902), with an appendix on Descartes's mathematical work by Frederick Purser; Victor de Swarte, Descartes directeur spirituel (Paris, 1904), correspondence with the Princess Palatine; C. J.
It has been stated that Napier's mathematical pursuits led him to dissipate his means.
In England, Robert Recorde had indeed published his mathematical treatises, but they were of trifling importance and without influence on the history of science.
He was president of the mathematical and physical section of the British Association at Bradford in 1873 and of the London Mathematical Society in 18 741876.
To the public Boole was known only as the author of numerous abstruse papers on mathematical topics, and of three or four distinct publications which have become standard works.
The fundamental geographical conceptions are mathematical, the relations of space and form.
The angle which the earth's axis makes with the plane in which the planet revolves round the sun determines the varying seasonal distribution of solar radiation over the surface and the mathematical zones of climate.
All these rest upon the facts of mathematical geography, and the three are so closely inter-related that they cannot be rigidly separated in any discussion.
With this machine movable type shuttles can be used, and one can have several shuttles, each with a different set of characters--Greek, French, or mathematical, according to the kind of writing one wishes to do on the typewriter.
He also made important contributions to the mathematical theory of electrodynamics, and in papers published in 1845 and 1847 established mathematically the laws of the induction of electric currents.
Scotland had produced nothing, and was perhaps the last country in Europe from which a great mathematical discovery would have been expected.
Napier's three mathematical works are reprinted by N.
In the year following his marriage Mendelssohn won the prize offered by the Berlin Academy for an essay on the application of mathematical proofs metaphysics, although among the competitors were Abbt and Kant.
His early mathematical and physical papers, written under the name of J.
He won the Ireland scholarship in 1848 and obtained a first class in both the classical and the mathematical schools in 1849.
To the Cambridge Mathematical Journal and its successor, the Cambridge and Dublin Mathematical Journal, Boole contributed in all twenty-two articles.
To these lists should be added a paper on the mathematical basis of logic, published in the Mechanic's Magazine for 1848.
Only two systematic treatises on mathematical subjects were completed by Boole during his lifetime.
Peacock's original contributions to mathematical science were concerned chiefly with the philosophy of its first principles.
His writings include: Mathematical Investigations in the Theory of Value and Prices (1892); Elements of Geometry (with A.
The above statements, though correct as far as they go, are an imperfect account of the nature of the radiation from a coupled antenna, but a mathematical treatment is required for a fuller explanation.
1 The mathematical theory of this antenna was given by J.
24) followed Eratosthenes rather than Aristotle, but with sympathies which went out more to the human interests than the mathematical basis of geography.
Ptolemy used the word geography to signify the description of the whole oekumene on mathematical principles, while chorography signified the fuller description of a particular region, and topography the very detailed description of a smaller locality.
Sebastian Munster, on the other hand, in his Cosmographia universalis of 1544, paid no regard to the mathematical basis of Munster.
Thus early commenced the separation between what were long called mathematical and political geography, the one subject appealing mainly to mathematicians, the other to historians.
It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life.
(1) Mathematical geography, which deals with the form, size and movements of the earth and its place in the solar system; (2) Moral geography, or an account of the different customs and characters of mankind according to the region they inhabit; (3) Political geography, the divisions according to their organized governments; (4) Mercantile geography, dealing with the trade in the surplus products of countries; (5) Theological geography, or the distribution of religions.
Being especially interested in mathematical science, the father gave his son his first lessons; but the extraordinary mathematical powers of George Boole did not manifest themselves in early life.
The disturbing conditions of will, life and organic forces are eliminated from the problem; he starts with the clear and distinct idea of extension, figured and moved, and thence by mathematical laws he gives a hypothetical explanation of all things.
Archimedes died at the capture of Syracuse by Marcellus, 212 B.C. In the general massacre which followed the fall of the city, Archimedes, while engaged in drawing a mathematical figure on the sand, was run through the body by a Roman soldier.
From 1863 to 1870 he was secretary and recorder to the American Academy of Arts and Sciences, and in the last year of his life he lectured on mathematical physics at Harvard.
This confusion Lotze, who had been trained in the school of mathematical reasoning, tried to dispel.