yhwu-is / linear-algebra-left-undone Goto Github PK
View Code? Open in Web Editor NEW线性代数:未竟之美
License: Other
线性代数:未竟之美
License: Other
v0.4版107页例5.8中的“连续函数”应改为“光滑函数”,毕竟该例中的线性空间V要求对求导运算封闭
是蓄意为之吗🥺
Linear-Algebra-Left-Undone/讲义/其它/序.tex
Line 42 in 2428614
容易把向量和坐标混淆起来,向量本身不会随着坐标变换而改变,但是坐标会;它们两个对于任意映射相同是在F^m,F^n的自然基下讨论的。
在之前丹青辅学的时候遇到过有同学有这个疑问。
预备**章节中用这个命题作为非构造性证明的例子:
$$
证明:存在无理数
假定
$$
我感觉这个不能算是严格的非构造性证明了,因为还是构造出了一个具体的数,只是没有对这个数是否是有理数做出定论。严格意义上非构造性证明应该是不依赖于具体的什么例子的。
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