標題: Titlebook: Real Numbers, Generalizations of the Reals, and Theories of Continua; Philip Ehrlich Book 1994 Springer Science+Business Media Dordrecht 1 [打印本頁] 作者: 一再 時間: 2025-3-21 17:24
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作者: 特別容易碎 時間: 2025-3-21 21:05
Book 1994standard mathematical philosophy.On the other hand, this period also witnessed the emergence of avariety of alternative theories of real numbers and correspondingtheories of continua, as well as non-Archimedean geometry,non-standard analysis, and a number of important generalizations ofthe system of作者: FADE 時間: 2025-3-22 01:09
A Constructive Look at the Real Number Lineinition of ‘closed subset of ?’ is inappropriate in the constructive setting (6.2); and we devote a considerable amount of space to the property of locatedness, which plays no role whatsoever in traditional analysis (Section 12).作者: 鎮(zhèn)壓 時間: 2025-3-22 05:37
On Non-Archimedean Geometrynt and method which are connected to the essence of the principles of pure mathematics and of geometry, upon which it seems to me that geometers have not yet agreed, although these are questions of geometry..作者: STRIA 時間: 2025-3-22 10:48
All Numbers Great and Smalls and the ordinals as well as many less familiar numbers including -ω, ω/2, 1/ω, (Math) and ω – πt to name only a few. He further showed that the arithmetic of the reals may be extended to the entire class yielding a ..作者: deriver 時間: 2025-3-22 15:51
On the Infinite and the Infinitesimal in Mathematical Analysishat of delivering an address upon topics chosen by himself to the assembled multitude on Tower Hill. Although my conscience acquits me of having been guilty during my period of office of conduct traitorous to the interests of our Society, I avail myself of the corresponding privilege accorded by our作者: Antimicrobial 時間: 2025-3-22 19:51 作者: Ccu106 時間: 2025-3-22 22:42
Veronese’s Non-Archimedean Linear Continuum to Paul du Bois-Reymond and Otto Stolz. (It actually goes back further — consider horn angles in ancient Greece, for example.) The work of du Bois-Reymond was published between 1870 and 1882 (Hahn cites only two articles, 1875 and 1877). That of Stolz appeared from 1879 to 1896 (Hahn cites articles作者: Hearten 時間: 2025-3-23 05:07
On Non-Archimedean Geometrytoday since mathematicians such as Poincaré have recognised its importance.. Critics have already recognized its logical validity; therefore, instead of attempting a systematic exposition, as I would have done in Heildelberg, I believe that it is more valuable to focus here on the questions of conte作者: 內(nèi)向者 時間: 2025-3-23 09:30
Calculation, order and Continuityeory, the real algebra of Artin and Schreier (1926). The term ‘real algebra’ refers to an algebraic theory of real numbers; that is to say, an . theory of the conceptual instrument which, from the Greeks to Cantor (and still later), has been used to render the linear . numerical. Real algebra is an 作者: 語源學 時間: 2025-3-23 12:57
The Hyperreal Lineall draw pictures of the hyperreal line and sketch its construction as an ultrapower of the real line. In the middle part of the article, we shall survey mathematical results about the structure of the hyperreal line. Near the end, we shall discuss philosophical issues concerning the nature and sign作者: 美食家 時間: 2025-3-23 14:08
All Numbers Great and Smallentified each ordinal with the set of all ordinals previously created, so that, 0 = ?, 1 = {0}, … , ω = {0, 1, …}, and so on. More recently, Conway [5, 6] discovered that these two methods can be subsumed under a more general construction which leads to an ordered class of numbers embracing the real作者: 無政府主義者 時間: 2025-3-23 19:39
Rational and Real Ordinal Numbers for the real axis have been constructed by Sikorski [9] and, independently, Klaua [4, 5]. Reference [9] introduced integral and rational ordinal numbers; references [4, 5] introduced integral, rational, and real ordinal numbers. The purpose of these constructions is to extend the real axis into the作者: crockery 時間: 2025-3-24 01:17 作者: 撫育 時間: 2025-3-24 04:47
Veronese’s Non-Archimedean Linear Continuums of 1896, 1897 and 1898. Tullio Levi-Civita, as Hahn says, gave an arithmetical representation of Veronese’s continuum in 1892/1893 and 1898 [5, 6]. Finally, Hahn cites Arthur Schoenflies’ article of 1906 [7].作者: 浪費物質(zhì) 時間: 2025-3-24 07:19
Calculation, order and Continuityreal algebra achieved a long-standing objective which up until then had been considered as desirable but probably unattainable. I shall then identify the immediate ancestral lines whose convergence gave rise to this new approach to the continuum. Finally, I shall point out that, by providing an alge作者: Interregnum 時間: 2025-3-24 13:42 作者: 手術刀 時間: 2025-3-24 17:02 作者: 傀儡 時間: 2025-3-24 19:16
tion, most apparent in the demands for “zero exposure”. One way to open a sustainable and acceptable path between such extreme views is the establishment and application of environmental standards understood as quantitative specifications of target values concerning the environment, referred to as e作者: 明智的人 時間: 2025-3-25 03:12 作者: 軟弱 時間: 2025-3-25 03:44
sions from these ten cities accounted for 10.71 and 13.15% of the total national emissions, respectively, although these cities took up less than 3% of the country’s land area. In the top ten cities of CO. emission in China, the CO. and SO. emissions accounted for 15.30 and 10.45% of the total natio作者: 不遵守 時間: 2025-3-25 11:09
Douglas S. Bridgesratified turbulence mediates the upward transport of bottom water, nutrients, chemical and biological species, and pollutants. In the atmosphere, stratification affects the transport of pollutants released at ground level, a critical problem being the thermal inversion in urban areas that causes the作者: 邪惡的你 時間: 2025-3-25 11:43
J. H. Conwayn ranges in the ocean or atmosphere on the motion fields in their respective environments and the motion of vehicles (e.g. submarines) through stratified waters. The general conclusion is that, while much has been learned from past laboratory studies, the rapid development of new data acquisition me作者: 地牢 時間: 2025-3-25 17:45
n ranges in the ocean or atmosphere on the motion fields in their respective environments and the motion of vehicles (e.g. submarines) through stratified waters. The general conclusion is that, while much has been learned from past laboratory studies, the rapid development of new data acquisition me作者: RECUR 時間: 2025-3-25 21:33
Gordon Fishern ranges in the ocean or atmosphere on the motion fields in their respective environments and the motion of vehicles (e.g. submarines) through stratified waters. The general conclusion is that, while much has been learned from past laboratory studies, the rapid development of new data acquisition me作者: Cardioplegia 時間: 2025-3-26 03:37
Henri Poincarén ranges in the ocean or atmosphere on the motion fields in their respective environments and the motion of vehicles (e.g. submarines) through stratified waters. The general conclusion is that, while much has been learned from past laboratory studies, the rapid development of new data acquisition me作者: 雪上輕舟飛過 時間: 2025-3-26 04:58 作者: Urologist 時間: 2025-3-26 11:50
al roles as regulator of protein folding and structural function. Studies done on the unicellular yeast depict the temporal variation in the gene expression profile when various stressors are used as treatment and thereby many common environment-specific response genes (CER) were identified constitu作者: 注意 時間: 2025-3-26 14:42
Hourya Sinaceurperiods of heat stress. Management alternatives, such as the strategic use of wind protection and bedding in the winter or sprinklers and shade in the summer, need to be considered to help livestock cope with adverse conditions. In addition to these changes, manipulation of diet energy density and i作者: Pantry 時間: 2025-3-26 17:57 作者: Pamphlet 時間: 2025-3-27 00:19 作者: craven 時間: 2025-3-27 02:11 作者: 積極詞匯 時間: 2025-3-27 06:03 作者: 有抱負者 時間: 2025-3-27 13:11
Real Numbers, Generalizations of the Reals, and Theories of Continua作者: 笨拙處理 時間: 2025-3-27 16:23 作者: Coma704 時間: 2025-3-27 20:40 作者: 現(xiàn)任者 時間: 2025-3-27 23:04 作者: 發(fā)生 時間: 2025-3-28 03:33 作者: 殘酷的地方 時間: 2025-3-28 06:20
ombustion, almost all air pollutants are related to carbon dioxide (CO.) emission. Using the Emission Database for Global Atmospheric Research (EDGAR) database and prefecture boundary data, studies comparing CO. and sulfur dioxide (SO.) emissions of 113 key environmental protection cities in China w作者: ENACT 時間: 2025-3-28 12:44 作者: Lyme-disease 時間: 2025-3-28 17:51
J. H. Conwayspheric and oceanic environment, there continues to be a substantial interest in conducting research in the broad field of environmental fluid mechanics. This area of inquiry encompasses the role of background stratification and rotation on fluid motions and includes the effects of turbulence, compl作者: 畸形 時間: 2025-3-28 22:22
spheric and oceanic environment, there continues to be a substantial interest in conducting research in the broad field of environmental fluid mechanics. This area of inquiry encompasses the role of background stratification and rotation on fluid motions and includes the effects of turbulence, compl作者: 狂熱文化 時間: 2025-3-29 01:44
Gordon Fisherspheric and oceanic environment, there continues to be a substantial interest in conducting research in the broad field of environmental fluid mechanics. This area of inquiry encompasses the role of background stratification and rotation on fluid motions and includes the effects of turbulence, compl作者: 食料 時間: 2025-3-29 05:08
Henri Poincaréspheric and oceanic environment, there continues to be a substantial interest in conducting research in the broad field of environmental fluid mechanics. This area of inquiry encompasses the role of background stratification and rotation on fluid motions and includes the effects of turbulence, compl
