ACE313
发表于 2025-3-21 16:38:28
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hardheaded
发表于 2025-3-21 23:03:20
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definition
发表于 2025-3-22 02:01:34
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耕种
发表于 2025-3-22 05:38:00
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狂热语言
发表于 2025-3-22 09:24:05
Basic Concepts,s Rademacher and Otto Toeplitz, ., literally . .) Nowadays, however, such a definition will not do, for modern algebra deals with abstract structures instead of numbers, and some branches of geometry study objects that barely resemble any figure in the plane or in space. Other branches of mathema
拘留
发表于 2025-3-22 13:37:37
Infinite Sequences II,nce (18) in Example ., that is, let .. be the .th digit in the decimal expansion of .. We know that (..) does not have a limit. But does the sequence . have a limit? First of all, let us note that .. ≥ 1, and thus .. ≥ 1 for infinitely many .. Now if there are infinitely many zeros among the terms .
保留
发表于 2025-3-22 20:23:56
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Nonflammable
发表于 2025-3-22 23:10:37
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离开真充足
发表于 2025-3-23 04:46:09
The Definite Integral,called the indefinite integral of .. Now we introduce a very different kind of concept that we also call integrals—definite integrals, to be precise. This concept, in contrast to that of the indefinite integral, assigns numbers to functions (and not a family of functions). In the next chapter, we wi
Multiple
发表于 2025-3-23 08:49:39
Applications of Integration,d volume). We have already spent time computing arc lengths, but only for graphs of functions. We saw examples of computing the area of certain shapes (mostly regions under graphs), and at the same time, we got a taste of computing volumes when we determined the volume of a sphere (see item 2 in Exa