| 单词 | mathematical relation |
| 例句 | For more complex reactions involving multistep reaction mechanisms, a similar but more complex mathematical relation exists between the equilibrium constant and the rate constants of the steps in the mechanism. Chemistry 2019-02-14T00:00:00Z Mathematics focuses on understanding mathematical relations and calculations, which is useful in natural sciences but which is distinct. Biology for AP Courses 2022-06-09T00:00:00Z But strictly speaking, Strominger says, the theorem states only that two similar black holes can be “transformed” into each other by a handful of mathematical relations called diffeomorphisms, which relabel the coordinates of space-time. Hawking’s final quest: saving quantum theory from black holes 2018-03-20T04:00:00Z He starts with a blank page, and he thinks of some kind of mathematical relation that may be able to describe the physics that he’s thinking about, and then he starts with that equation. Einstein on Stage 2015-11-30T05:00:00Z Theories are just sets of mathematical relations—equations related by isomorphisms. Schrodinger’s Rats and The Search for Ultimate Reality [Excerpt] 2014-01-31T15:00:00Z This strategy is also employed to calculate sought quantities using measured quantities and appropriate mathematical relations. Chemistry 2019-02-14T00:00:00Z De Broglie used the concept of frequency in mathematical relations to define wavelengths. And Let There Be "Molecules" of Light 2013-10-14T20:45:24.920Z That the mathematical relations must likewise be subjected to a purely empirical interpretation, which even Hume denied them, is a matter of course. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z His originality lies in trying to discover an exact mathematical relation between them. Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 2 "Fairbanks, Erastus" to "Fens" 2011-06-19T02:00:16.580Z The definite mathematical relations which have been found to connect the components of stress with each other, and with other quantities, result necessarily from the formation of a clear conception of the nature of stress. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z These measured quantities are then used to compute the amount of heat produced or consumed in the process using known mathematical relations. Chemistry 2019-02-14T00:00:00Z We may then work out mathematical relations among the different quantities of value, sums, ratios, percentages, etc. The Value of Money 2011-01-04T03:01:12.363Z Instead, they had passed into the realm of the mathematical relations of kinematics: quantitative law had replaced qualitative experience of cause and effect. The Natural Philosophy of William Gilbert and His Predecessors In number, the third gift emphasized two and multiples of two; the fifth is related to the fourth in its advance in complexity of form and mathematical relations. Froebel's Gifts The mathematical relations of color waves have been calculated as accurately as the relations of sound waves have been. The Painter in Oil A complete treatise on the principles and technique necessary to the painting of pictures in oil colors The sequence of the planetary motions was discovered by Kepler, but it was reserved for Newton to prove the theoretical necessity of this motion and establish its mathematical relations. The Religious Sentiment Its Source and Aim: A Contribution to the Science and Philosophy of Religion Many explain this by saying that there is a mathematical relation between a fine physique and a firm, intellectual tread. A Man's Value to Society Studies in Self Culture and Character Did not sensation, by a constant repetition of certain sequences, and a recurring exactitude of mathematical relations, keep our fancy clear and fresh, we should fall into an imaginative lethargy. The Sense of Beauty Being the Outlines of Aesthetic Theory The Egyptian temples show us only straight-lined figures, which consequently show mathematical relations. Froebel's Gifts A simple mathematical relation then permits us to determine m′. Lectures on Stellar Statistics He defined the mathematical relation of the octave as produced by half of a given string, the fifth produced by two-thirds and the fourth by three-fourths. A Popular History of the Art of Music From the Earliest Times Until the Present Observation assigns the numerical value of these perturbations; theory, on the other hand, unfolds the general mathematical relation which connects them with the solar parallax, and with other known elements. Biographies of Distinguished Scientific Men The beauties of abstract music are but one step beyond such mathematical relations � they are those relations presented in a sensible form, and constituting an imaginable object. The Sense of Beauty Being the Outlines of Aesthetic Theory A further instance of his many-sidedness was his fidelity to pure intuition, his respect for the infallible revelation of ideal being, such as we have of sensible qualities or of mathematical relations. Some Turns of Thought in Modern Philosophy Five Essays Are mathematical relations ever those of cause and effect? An Introduction to Philosophy An extension of this principle would make our pleasure in any arrangement of forms depend on the mathematical relations of their parts. Harvard Psychological Studies, Volume 1 Containing Sixteen Experimental Investigations from the Harvard Psychological Laboratory. He relates that he suddenly felt "the galvanic circle of thought" close, and the sparks that fell from it was the fundamental mathematical relations of his problem, which is now an important law in mathematics. A Series of Lessons in Raja Yoga Observation assigns the numerical value of these perturbations; theory, on the other hand, unfolds the general mathematical relation which connects them with the solar distance and with other known elements. Library of the World's Best Literature, Ancient and Modern — Volume 2 But I perceive mathematical relations without his telling me, because they exist independent of his will. Slavery Ordained of God The distances bear an equally interesting mathematical relation to the times of the revolutions round the sun. Vestiges of the Natural History of Creation Two divisions have gone into tiny, "quiet rooms" to grapple with the intricacies of mathematical relations. Children's Rights A book of nursery logic Ignorance and superstition ever bear a close, and even a mathematical relation to each other. Jack Tier And so of all other weights; the amount added to produce the stimulus of "least-appreciable difference" always bore the same mathematical relation to the magnitude of the weight used, be that magnitude great or small. A History of Science — Volume 4 |
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