调停 发表于 2025-3-21 18:31:51

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垫子 发表于 2025-3-22 00:05:26

Conclusion and Recommendations for Actionversely, one can use one’s experience in analytic rigour to extend one’s geometric intuition to such abstract settings; as mentioned earlier, the two viewpoints complement rather than oppose each other.)

垫子 发表于 2025-3-22 01:20:18

Differentiation of functions,versely, one can use one’s experience in analytic rigour to extend one’s geometric intuition to such abstract settings; as mentioned earlier, the two viewpoints complement rather than oppose each other.)

木讷 发表于 2025-3-22 06:29:27

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intrude 发表于 2025-3-22 12:32:08

Starting at the beginning: The natural numbers,ore fundamental issue, which is: . do the rules of algebra work at all? For instance, why is it true that .(.+.) is equal to . + . for any three numbers .? This is not an arbitrary choice of rule; it can be proven from more primitive, and more fundamental, properties of the number system.

pantomime 发表于 2025-3-22 16:08:16

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繁重 发表于 2025-3-22 18:09:28

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languid 发表于 2025-3-22 23:48:47

https://doi.org/10.1007/978-94-011-5318-8als (where we eventually replaced formal quotients with actual quotients), we never really finished the job of constructing the real numbers, because we never got around to replacing formal limits LIM. .. with actual limits lim. ... In fact, we haven’t defined limits at all yet. This will now be rectified.

hegemony 发表于 2025-3-23 03:26:52

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Collected 发表于 2025-3-23 07:38:28

Limits of sequences,als (where we eventually replaced formal quotients with actual quotients), we never really finished the job of constructing the real numbers, because we never got around to replacing formal limits LIM. .. with actual limits lim. ... In fact, we haven’t defined limits at all yet. This will now be rectified.
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