Math Analysis Homework - Week 8
Math Analysis Homework Week 8 Class 1 T1 <div class='cbox' $ $ </div
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A Fun Problem about Function Limits
A Fun Problem about Function Limits <div class='cbox' $ \epsilon x n \lim {n \to \infty} x n=+\infty f(x n) \epsilon \delta n,\forall x\in (x i \delta i,x i+\delta i) \vert f(x) f...
Math Analysis Homework - Week 7
Math Analysis Homework Week 7 Class 1 T1 <div class='cbox' $ a,b 0 4 5 o(x^5) $ </div
Right Continuous Function
Can you find a function such that right continuous at every point but not left continuous on a point $ q 1,q 2\ldots 2^{ i} x \epsilon \forall \delta,\exists y\in [x \delta,x],\ve...
Math Analysis Homework - Week 6
Math Analysis Homework Week 6 Class 1 T1 <div class='cbox' analysis the function's convexity and inflection point $ ab=0 a,b\ne 0 a $ </div
Math Analysis Homework - Week 5
Math Analysis Homework Week 5 Class 1 T1 <div class='cbox' $ f(b) f(a) \vert k \vert f'(x 1),f'(x 2) a=0 f(x) 0 (c,d) f(c)=0 f(x) 0,\forall x\in (c,d) g(x)=\ln \vert f(x) \vert \v...
Math Analysis Homework - Week 4
Math Analysis Homework Week 4 Class 1 T1 <div class='cbox' $ $ </div
Linear Algebra Done Right
Linear Algebra Done Right 记录大致讲了什么 Book Edition 3 向量空间 我们定义向量空间 <div class='dbox' 向量空间 向量空间定义在域 上,要求支持: 加法 中数的数乘 加法单位元(0元) 加法逆元 加法交换结合 数乘结合 加法对数乘分配 对加法和数乘封闭 </div 加粗部分用于判断子空间,根据 区...
Math Analysis Homework - Week 3
Math Analysis Homework Week 3 Class 1 T1 <div class='cbox' $ f(0) $ </div
Math Analysis Homework - Week 2
Math Analysis Homework Week 2 Class 4 T1 <div class="cbox" 设 </div <div class='pbox' $ 0 < a 1 < b 1 a {n+1} = \sqrt{a n b n}, b {n+1} = \frac{a n + b n}{2}, n \in \mathbb{N} + \{...
Linea Algebra Homework - Class 1
Linear Algebra Class1 Homework T2 <div class='cbox' Going around a triangle from to to to , what are those three vectors ? What is ? What are their lengths , , and ? The length sq...
Math Analysis Homework - Week 1
Math Analysis Homework Week 1 Class 1 Homework T1 <div class='cbox' </div <div class='pbox' Obviously wrong. $ a n=2^{ n} A 0 \epsilon<A n N a n 0 a n 0 ,\epsilon 1<1,\epsilon 2<A...