An important postulate concerning stationary points that we adopt in smooth infinitesimal analysis is the Constancy Principle. |
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For whatever infinitesimal consolation it may offer, Wellstone could feel the victory coming. |
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Really, what I want to do is impossible, for any listing of an endless series is doomed to be infinitesimal. |
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It was a pause so infinitesimal that I almost didn't catch it, but I knew what I glimpsed. |
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Among the renewed disciplines, one could list infinitesimal geometry, spheric geometry, and so on. |
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Infants are very sensitive to it and only the most infinitesimal fractional doses should be used. |
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Just a slight tensing of the muscles, an infinitesimal straightening of the back, a tiny lift of the head, betrayed his sudden interest. |
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In most cases, such concentrations of atoms are so rarefied that the chances of colliding are infinitesimal. |
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But Clark sees something change in his eyes, some infinitesimal flicker of emotion. |
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Smooth infinitesimal analysis embodies a concept of intensive magnitude in the form of infinitesimal tangent vectors to curves. |
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The changes in timing a hit are almost laughably infinitesimal but are utterly crucial to the way the foil is used. |
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Or maybe, we fear that if we pause for even an infinitesimal second, someone else will grab our place and get ahead? |
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What an infinitesimal fraction of time's fathomless abyss is assigned to each of us! |
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But the new puritans argue that any risk, no matter how infinitesimal, is intolerable. |
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Ultimately, El Hanani's drawings are meditations on the relationship of the macroscopic to the microscopic, the infinite to the infinitesimal. |
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Minute, infinitesimal amounts of chemical contaminants crossing the placenta can cause cancer in young adults decades later. |
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The curvature of the central line is a one-dimension variable characterizing each infinitesimal cross-section. |
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There are infinitesimal numbers of cycles of improvement and degradation, one following the other like the phases of waxing and waning moons. |
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And that's critical to the analysis of the solar wind, the particles of which contain infinitesimal traces of the 83 naturally occurring elements. |
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There isn't a single person in all these millions, including the president of the pencil company, who contributes more than a tiny, infinitesimal bit of know-how. |
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He blinked and rapidly adjusted the viewer's dials, but what seemed to be a tiny, almost infinitesimal flashing green light on one end of the diamond, did not disappear. |
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Mr. Gerald Keddy: Mr. Speaker, it is infinitesimal, not even a blimp on the radar screen. |
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The territory in dispute is grand in the imaginings of history and infinitesimal in geography. |
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But with so little time before actual voting begins, the margin for error is infinitesimal. |
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Although progress is made every day, the state of science still does not allow us to account for the mode of action of infinitesimal dilutions. |
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Mr. John Cummins: To ask what percentage of streams you cover is really meaningless, because the number is almost infinitesimal, isn't it? |
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These chemicals are virtually odorless and tasteless, and infinitesimal amounts can kill a human being in a matter of minutes. |
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There are suggestions that only an infinitesimal part of knowledge and skills are transmitted from older to younger workers. |
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Every infinitesimal movement is thus maximally exploited for an optimized winding of the watch. |
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But on a continental scale, its financial value for mass poverty reduction through trade appears infinitesimal. |
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He discovered the law of gravitation and formulated a corpuscular theory of light and the infinitesimal calculus. |
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Until now, poisoning has been legal provided that it is carried out in infinitesimal doses. |
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Consumers would find it incomprehensible that even an infinitesimal quantity of prohibited GMOs could be tolerated. |
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Each clear glass lens is strategically positioned above key timepieces to enlarge the infinitesimal details renowned in Swiss watchmaking. |
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On the other hand, if the particles become visible, only an infinitesimal part of these particles is revealed to you. |
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Along the way, we remarked on the strange powdery consistency of the soil and marveled as we were surrounded by a swarm of infinitesimal white insects. |
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It is fair to say that in the entire North Western area that the level of infrastructural investment has been infinitesimal in comparison to spending on the east coast. |
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There was an infinitesimal pause before the last word, as the principal tactfully searched for the right word, but an untrained ear wouldn't have noticed it. |
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People worry more about infinitesimal risks they feel are imposed on them than they do about the more important ones they voluntarily bring upon themselves. |
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Yearly raises in our profession range from infinitesimal to nonexistent. |
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The beauty of not only every infinitesimal detail around me, but also the tangibleness of the hillsides that surrounded us, gave me a tremendous hopefulness. |
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Quantum theory explains the small stuff, where matter and energy divide into infinitesimal particles. |
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The exaggerated reflection suddenly revealed that my pores were hardly as infinitesimal as my naked eye had led me to believe. |
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Bernoulli greatly advanced algebra, the infinitesimal calculus, the calculus of variations, mechanics, the theory of series, and the theory of probability. |
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Like stone, wood is an unforgiving material that demands a carver with a sure sense of design, an unerring eye for infinitesimal detail, and the patience of Job. |
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Newton also made seminal contributions to optics, and he shares credit with Gottfried Wilhelm Leibniz for developing the infinitesimal calculus. |
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It was during these visits that he came up with the design for a calculating machine as well as the infinitesimal calculus. |
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Pairs consisting of a particle and its matching antimatter antiparticle pop out of the vacuum for infinitesimal periods before annihilating each other and popping back in again. |
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Only 77 attempts to use euro notes and coins were recorded before 1 January 2002, an infinitesimal number compared with the billions of notes and coins distributed. |
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Every time someone mistakes the meaning of an instruction or botches a shipping order, our international competitiveness suffers just that infinitesimal little bit more. |
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The problems of determining infinitesimal holomorphically projective transformation on M and T have been considered by several authors. |
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In the first semester of 2002 only 68 counterfeit coins were detected, an infinitesimal number compared to the more than 38 billion coins in circulation. |
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This chemical messenger is dopamine, an infinitesimal chemical molecule, released by the neuron, which will act on other neurons, connecting to precise sites, the receptors, like a key that is inserted into a lock. |
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He did not publish all these discoveries, and at this time infinitesimal methods were still considered disreputable. |
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One of the first and most complete works on both infinitesimal and integral calculus was written in 1748 by Maria Gaetana Agnesi. |
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The infinitesimal approach fell out of favor in the 19th century because it was difficult to make the notion of an infinitesimal precise. |
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To do this one simply compresses all energy into an infinitesimal time slice. |
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But of course, the percentage of Americans who know that is infinitesimal. |
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In making that statement he is confronted with the uncomfortable fact that the Commission has found, as is the case, that the scale of any radiation from the MOX plant would be infinitesimal. |
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Who can say that an individual needing to be in a hazardous area will not suffer consequences some day, even if exposed to an infinitesimal amount? |
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But aren't these international fan bases infinitesimal slivers of the American fan bases? |
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Subsequent thinkers struggled with the same tension and proposed different solutions to it as the case of infinitesimal calculus illustrates. |
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Yosemite's El Capitan – despite appearances as a sold lump of rock – is actually expanding at an infinitesimal rate meaning everything from tiny holds to whole rock features can ultimately fall off. |
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Unfazed, scientists like Dr Goulielmakis have lighted on ways to operate on such infinitesimal timescales. They use two sets of ultra-fast laser pulses. |
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We recognize that the displacement error is probably infinitesimal compared to the probable error in the reaction rates used in the calculation, but it is nonetheless a finite calculable error. |
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Cavalieri's work was not well respected since his methods could lead to erroneous results, and the infinitesimal quantities he introduced were disreputable at first. |
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Pierre de Fermat, claiming that he borrowed from Diophantus, introduced the concept of adequality, which represented equality up to an infinitesimal error term. |
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To a mathematician, a googolplex is the figure 1 followed by a googol of zeroes. To a real-estate man, it's one infinitesimal parcel of a plot of land. |
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However, if we reject any theory that falls short of this ideal, science will have to progress in quantum leaps, each with infinitesimal probability. |
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The symbols dx and dy were taken to be infinitesimal, and the derivative. |
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Then you could say that the doorway exploded. But the particular verb doesn't do the action justice. Rather, it shattered into infinitesimal pieces. |
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This led Abraham Robinson to investigate if it were possible to develop a number system with infinitesimal quantities over which the theorems of calculus were still valid. |
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