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Titlebook: Infinite Processes; Background to Analys A. Gardiner Textbook 1982 Springer-Verlag New York Inc. 1982 Analysis.Area.Calc.Elementary Analysi

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樓主: cerebral
41#
發(fā)表于 2025-3-28 16:02:12 | 只看該作者
42#
發(fā)表于 2025-3-28 20:48:17 | 只看該作者
development. The book argues that meeting this challenge requires a holistic understanding of the context-specific factors that influence economic behavior and structures in poor countries. .Contextual Development Economics. approaches this task by offering a methodology that allows analysing the dy
43#
發(fā)表于 2025-3-28 23:57:26 | 只看該作者
A. Gardinerdevelopment. The book argues that meeting this challenge requires a holistic understanding of the context-specific factors that influence economic behavior and structures in poor countries. .Contextual Development Economics. approaches this task by offering a methodology that allows analysing the dy
44#
發(fā)表于 2025-3-29 03:04:38 | 只看該作者
45#
發(fā)表于 2025-3-29 10:55:13 | 只看該作者
Mathematics: Rational or Irrational?cal, then we should not be surprised to find them beginning with these counting numbers—their patterns of odd and even; the squares, cubes, and higher powers; the triangular numbers 1, 3, 6, 10, 15,...; the primes; the divisors of a given number and its factorisation as a product of primes; and many
46#
發(fā)表于 2025-3-29 12:07:18 | 只看該作者
Constructive and Non-constructive Methods in MathematicsBut, when this assumption was applied to the pair of segments AB, AC in Figure 6, we derived a contradiction. We were thus forced by the principles of logic to admit that our tacit assumption was untenable: there clearly exist . pairs of segments (such as AB, AC in Figure 6) which have ..
47#
發(fā)表于 2025-3-29 18:05:10 | 只看該作者
48#
發(fā)表于 2025-3-29 20:22:03 | 只看該作者
Infinite Decimals (Part 1)he usual base 10 representation of numbers (that is, the idea of . corresponding to increasing powers of 10). Similar efforts are made when the time comes to introduce negative whole numbers, fractions, and the decimal representation of decimal fractions. But though the long division process, which
49#
發(fā)表于 2025-3-30 02:29:55 | 只看該作者
Recurring Ninesce 9/100 ( = .09) is less than 10/100 ( = .1). But we have gone out of our way to stress the fact that, unlike ordinary finite decimals, .; instead they have to be interpreted in a completely new way as .. We therefore have to resist any temptation to assume that procedures which work with finite de
50#
發(fā)表于 2025-3-30 04:28:32 | 只看該作者
Numbers and Geometryl concepts whose very meaning depends on .. In contrast, you have in the past been encouraged to use real numbers (whether rational or irrational) in a naive, unquestioning way—especially in geometry: for example, you have been quietly encouraged to assume that, if we measure the length of a line se
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