第6章 版本 Analysis I(第3版)。 章节6.1 练习6.1.1 题目: Let \( (a_n)_{n = 0}^{\infty} \) be a sequence of real numbers, such that \( a_{n + 1} > a_n \) for each natural number \( n \). Prove that whenever \( n \) and \( m \) are natural numbers such
第5章 版本 Analysis I(第3版)。 章节5.1 练习5.1.1 题目: Prove Lemma 5.1.15. (Hint: use the fact that a n is eventually 1-steady, and thus can be split into a finite sequence and a 1-steady sequence. Then use Lemma 5.1.14 for the finite part. Note there is nothing special about the number
第4章 版本 Analysis I(第3版)。 章节4.1 练习4.1.1 题目: Verify that the definition of equality on the integers is both reflexive and symmetric. 证明自反性: \( \forall a — b \in \mathbf{Z} \),有\( a + b = a + b \)
第3章 版本 Analysis I(第3版)。 章节3.1 练习3.1.1 题目: Show that the definition of equality in Definition 3.1.4 is reflexive, symmetric, and transitive. Definition 3.1.4的内容: (Equality of sets). Two sets \( A \) and \( B \) are equal, \( A = B
第2章 版本 Analysis I(第3版)。 章节2.2 练习2.2.1 题目: Prove Proposition 2.2.5. (Hint: fix two of the variables and induct on the third.) Proposition 2.2.5的内容: (Addition is associative). For any natural numbers a, b, c, we have \( (a + b) + c
注意事项 本文仅会专注于x86、x64架构下的WOW64原理,不会涉及ARM、Intel Itanium等架构下的东西,不过原理是大同小异的。 动