| 单词 | modulus |
| 例句 | The experiments revealed that water had a significant effect, enhancing the energy dispersion and reducing the elastic moduli of the rocks across a wide range of frequencies. Exploring the effect of water on seismic wave attenuation in the upper mantle 2023-09-27T04:00:00Z But in algebraic geometry, I would say intersection theory is especially interesting when we work with moduli spaces. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z Young's moduli Y for tension and compression sometimes differ but are averaged here. College Physics for AP Courses 2015-08-12T00:00:00Z The rules are based on multiplying the moduli and adding the arguments. Algebra and Trigonometry 2015-02-13T00:00:00Z The current version features an improved layer just below the cover, a high-flex modulus resin. TaylorMade Pix 2.0 balls developed through the scientific perspective of a tour player - Golf Digest 2020-01-27T05:00:00Z A database of Cepheid distance moduli and tip of the red giant branch, globular cluster luminosity function, planetary nebula luminosity function, and surface brightness fluctuation data useful for distance determinations. A single population of red globular clusters around the massive compact galaxy NGC 1277 2018-03-11T05:00:00Z A moduli space is a space where each point corresponds to an object of some type that we’re interested in. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z Bone has significantly different Young's moduli for tension and compression. College Physics for AP Courses 2015-08-12T00:00:00Z It states that, for a positive integer is found by raising the modulus to the power and multiplying the argument by It is the standard method used in modern mathematics. Algebra and Trigonometry 2015-02-13T00:00:00Z One key is the use of one of the strongest intermediate modulus carbon fiber materials, which has been used in the aerospace industry. Fujikura Speeder Evolution IV continues shaft platform that been a presence on tour since the 1990s - Golf Digest 2017-10-02T04:00:00Z A clever recursive formula for the volumes of various moduli spaces solved the problem. Maryam Mirzakhani (1977-2017) : Nature : Nature Research 2017-09-05T04:00:00Z The moduli space helps us do that because the points of the moduli space keep track of all the different objects of a certain type. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z For example, k is directly related to Young’s modulus when we stretch a string. College Physics for AP Courses 2015-08-12T00:00:00Z To find the product of two complex numbers, multiply the two moduli and add the two angles. Algebra and Trigonometry 2015-02-13T00:00:00Z Mirzakhani won the prize for her “outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces”. Maryam Mirzakhani: Iranian newspapers break hijab taboo in tributes 2017-07-16T04:00:00Z “Mirzakhani specialized in theoretical mathematics that read like a foreign language by those outside of mathematics: moduli spaces, Teichmüller theory, hyperbolic geometry, Ergodic theory and symplectic geometry,” the Stanford press announcement said. Maryam Mirzakhani, first woman to win mathematics' Fields medal, dies at 40 2017-07-15T04:00:00Z Furthermore, if I trace out a path within the moduli space, that corresponds to a continuously varying family of our objects. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z The bulk modulus of granite is greater than its shear modulus. College Physics for AP Courses 2015-08-12T00:00:00Z To find the quotient of two complex numbers in polar form, find the quotient of the two moduli and the difference of the two angles. Algebra and Trigonometry 2015-02-13T00:00:00Z “Mirzakhani specialized in theoretical mathematics that read like a foreign language by those outside of mathematics: moduli spaces, Teichmüller theory, hyperbolic geometry, Ergodic theory and symplectic geometry,” according to the Stanford press announcement. Maryam Mirzakhani, first woman to win Fields Medal, dies 2017-07-15T04:00:00Z A property called Young's modulus, which is an indicator of stiffness, was greater than that of some metals, and on its way to values associated with steel. Scientists develop ultra-hard glass - BBC News 2015-11-03T05:00:00Z What that means is a little difficult to make precise, but we can take this example: the moduli space of circles. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z Young's moduli are not listed for liquids and gases in Table 5.3 because they cannot be stretched or compressed in only one direction. College Physics for AP Courses 2015-08-12T00:00:00Z Mirzakhani, according to the International Mathematical Union was recognized for “her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.” Maryam Mirzakhani becomes first woman awarded math’s “Nobel Prize” 2014-08-13T04:00:00Z According to a citation released by the International Mathematical Union, Marzakhani won the prize for her "outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces". Fields Medal mathematics prize won by woman for first time in its history 2014-08-12T04:00:00Z Her thesis showed how to compute the Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces. Maryam Mirzakhani: 'The more I spent time on maths, the more excited I got' 2014-08-12T04:00:00Z If I trace out a continuous path in the moduli space, you can imagine a movie of a circle that is rolling around and increasing and decreasing in size. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear deformation, taking it to have the shear modulus of 1×109 N / m2 . College Physics for AP Courses 2015-08-12T00:00:00Z In particular, she has studied "moduli spaces" of these shapes, which map all of the possible geometries of a Riemann surface into their own, new space. First female winner for maths medal 2014-08-12T04:00:00Z She won for her work on “the dynamics and geometry of Riemann surfaces and their moduli spaces.” Iranian is first woman to nab highest prize in maths 2014-08-11T04:00:00Z The probability that the cavity stores a given number of photons is the squared modulus of the corresponding complex amplitude. Cavity Quantum Electrodynamics 2012-10-09T20:45:02.517Z If you’re interested in certain subsets of a moduli space, those will tend to correspond to objects that have a certain property. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z Note that the compression value for Young's modulus for bone must be used here. College Physics for AP Courses 2015-08-12T00:00:00Z The modulus of ultimate resilience of the cold-rolled iron is, however, above 50 per cent. of that of the untreated iron. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z Young's contributions to this subject will be chiefly remembered in connection with his "modulus of elasticity." Heroes of Science: Physicists 2012-01-17T03:00:17Z Then, perhaps, his seven moduli would be roughly, 1 bushel 3 pecks, and 18 vessels full would be about 31 bushels—say, roughly, 5,400 lbs. of ore. De Re Metallica, Translated from the First Latin Edition of 1556 2011-11-16T03:00:21.977Z So when you intersect two subsets in the moduli space, you’re trying to understand what objects have both of those properties. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z Examination of the shear moduli in Table 5.3 reveals some telling patterns. College Physics for AP Courses 2015-08-12T00:00:00Z It will be found that these obey the ordinary relations holding when z is real, except that their moduli are not inferior to unity. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z It is not usual now to express Young's modulus of elasticity in terms of a length of the substance considered. Heroes of Science: Physicists 2012-01-17T03:00:17Z Homogeneous solids offer definite resistance to compression, twisting, stretching, and bending, and this resistance is expressed by a number called a modulus. The New Gresham Encyclopedia Volume 4, Part 2: Ebert to Estremadura 2011-04-14T02:00:56.200Z One tool I use a lot that’s very important is: when you’re studying a moduli space, you try to cut it into pieces and understand what’s happening in each of those pieces. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z For example, shear moduli are less than Young's moduli for most materials. College Physics for AP Courses 2015-08-12T00:00:00Z If, however, we describe a circle of radius R in the z plane, and consider the greatest value of the modulus of an integral function upon this circle, this certainly increases indefinitely as R increases. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z The elasticity of a fluid is always expressed by means of a single quantity of the same kind as the modulus of compression of a solid body. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z The modulus is obtained by dividing the stress by the strain; if this is done with the above example, the ratio will give the bulk modulus. The New Gresham Encyclopedia Volume 4, Part 2: Ebert to Estremadura 2011-04-14T02:00:56.200Z But if you cut up your moduli space into too-small pieces, it can sometimes be really hard to put them back together. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z Almost by definition, liquids and gases have shear moduli near zero, because they flow in response to shearing forces. College Physics for AP Courses 2015-08-12T00:00:00Z This is because the modulus of our composite foam is matching perfectly with that of bone. Medical Implants Made of Foam? 2010-05-03T14:39:00Z To define the modulus of compression, we suppose that a solid body of any form is subjected to uniform hydrostatic pressure of amount p. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z In particular μ is the shape modulus or the rigidity, already referred to. The New Gresham Encyclopedia Volume 4, Part 2: Ebert to Estremadura 2011-04-14T02:00:56.200Z Giving a map from one moduli space to another is like a rule for taking objects of one type and getting objects of a different—hopefully simpler—type. How Mathematical Objects Are like People and Other Mysteries of Intersection Theory 2023-09-26T04:00:00Z Although bone is rigid compared with fat or muscle, several of the substances listed in Table 5.3 have larger values of Young's modulus Y . College Physics for AP Courses 2015-08-12T00:00:00Z An exact computation of the effect is not possible without a knowledge of the earth’s modulus of elasticity. Astronomical Discovery The modulus of compression and the rigidity are quantities of the same kind as Young’s modulus. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z Young's modulus is employed in the cases of stretching and bending. The New Gresham Encyclopedia Volume 4, Part 2: Ebert to Estremadura 2011-04-14T02:00:56.200Z The moduli of Young and of simple rigidity lend themselves readily to quantitative laboratory experiments. College Teaching Studies in Methods of Teaching in the College Its shear modulus is not only greater than its Young's modulus, but it is as large as that of steel. College Physics for AP Courses 2015-08-12T00:00:00Z And is 2�d. so precisely the modulus of popular wants, that an alteration of 4 per cent. would make it useless? A Budget of Paradoxes, Volume II This constant is called Young’s modulus after Thomas Young, who introduced it into the science in 1807. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z An ear but moderately learned in that language cannot be deceived as to the rate and modulus of the suffering which it indicates. The Posthumous Works of Thomas De Quincey, Vol. 1 Owing to the yielding of joints when a beam is first loaded a smaller modulus of elasticity should be taken than for a solid bar. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 "Brescia" to "Bulgaria" The shear moduli for concrete and brick are very small; they are too highly variable to be listed. College Physics for AP Courses 2015-08-12T00:00:00Z Poems of this class were technically known as moduli—a name which points significantly to the importance of music in their structure. Wine, Women, and Song Mediaeval Latin Students' songs; Now first translated into English verse The Young’s modulus and the rigidity of a fluid are always zero. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z The modulus of elasticity of concrete is so variable that any formulas containing it and pretending to determine the stress in the concrete are unreliable, but the author's proposed method is equally so. Some Mooted Questions in Reinforced Concrete Design American Society of Civil Engineers, Transactions, Paper No. 1169, Volume LXX, Dec. 1910 The measure of the breaking strength of a beam is expressed in terms of unit stress by a modulus of rupture, which is a purely hypothetical expression for points beyond the elastic limit. The Mechanical Properties of Wood Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber Testing Note that no bulk moduli are given for gases. College Physics for AP Courses 2015-08-12T00:00:00Z The songs of the Wandering Students were in a strict sense moduli as distinguished from versus; popular and not scholastic. Wine, Women, and Song Mediaeval Latin Students' songs; Now first translated into English verse In such a material the Young’s modulus depends upon the direction of the tension, and its variations about a point are expressed by means of a surface of the fourth degree. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z It works both ways, the modulus of elasticity of concrete being elastic enough to be shifted again to suit the designer's notion in selecting his reinforcement. Some Mooted Questions in Reinforced Concrete Design American Society of Civil Engineers, Transactions, Paper No. 1169, Volume LXX, Dec. 1910 This ratio, to which the name speed-strength modulus has been given, may be expressed as a coefficient which, if multiplied into any proportional change in speed, will give the proportional change in strength. The Mechanical Properties of Wood Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber Testing Elasticity -- N. elasticity, springiness, spring, resilience, renitency, buoyancy. rubber, India rubber, Indian rubber, latex, caoutchouc, whalebone, gum elastic, baleen, natural rubber; neoprene, synthetic rubber, Buna-S, plastic. flexibility, Young's modulus. Roget's Thesaurus of English Words and Phrases The quantity k is the modulus of compression. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z In general there is no simple relation between the Young’s moduluses and Poisson’s ratios and rigidities for assigned directions and the modulus of compression. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z Why should frightfully complex formulas be proposed, which bring in the unknowable modulus of elasticity of concrete and can only be solved by stages or dependence on the calculations of some one else? Some Mooted Questions in Reinforced Concrete Design American Society of Civil Engineers, Transactions, Paper No. 1169, Volume LXX, Dec. 1910 R = modulus of rupture, pounds per square inch. The Mechanical Properties of Wood Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber Testing These values are small when compared with steel which has a modulus of elasticity of about 30,000,000 pounds per square inch. The Mechanical Properties of Wood Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber Testing R = modulus of rupture, pounds per square inch. The Mechanical Properties of Wood Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber Testing The modulus of compression k may be determined directly by means of the piezometer, as was done by E.H. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z Of course a wonderful agreement between the double-refined theory and test can generally be effected by "hunching" the modulus of elasticity to suit. Some Mooted Questions in Reinforced Concrete Design American Society of Civil Engineers, Transactions, Paper No. 1169, Volume LXX, Dec. 1910 The modulus of rupture in bending lies between the first power and the square of the density. The Mechanical Properties of Wood Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber Testing G = modulus of elasticity in shear across the grain, pounds per square inch. The Mechanical Properties of Wood Including a Discussion of the Factors Affecting the Mechanical Properties, and Methods of Timber Testing |
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