Signed-off-by: szdytom <szdytom@qq.com>
This commit is contained in:
方而静 2025-07-13 22:58:12 +08:00
parent 0757c97a0d
commit 7a90f5c94a
Signed by: szTom
GPG Key ID: 072D999D60C6473C
3 changed files with 15 additions and 3 deletions

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@ -27,3 +27,15 @@ name = "cjk-character-without-space-after-formula"
pattern = "\\$[^:,、。!?()【】—;“”‘’…\\s\\x20-\\x7E]"
enforce = true
comment = "Missing space between $ and CJK character"
[[rule]]
name = "forbid-任一"
pattern = "任一"
enforce = true
comment = "Please use 任意 instead of 任一"
[[rule]]
name = "forbid-对于所有"
pattern = "对于所有"
enforce = true
comment = "Please use 对于任意 instead of 对于所有"

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@ -46,7 +46,7 @@
]
#exercise_sol(type: "proof")[
证明:对于任 $alpha in CC$,都存在唯一的 $beta in CC$ 使得 $alpha + beta = 0$
证明:对于任 $alpha in CC$,都存在唯一的 $beta in CC$ 使得 $alpha + beta = 0$
][
根据定义,令 $alpha = a + b ii$(其中 $a,b in RR$),则取 $beta = (-a) + (-b) ii$,则有
@ -64,7 +64,7 @@
]
#exercise_sol(type: "proof")[
证明:对于任 $alpha in CC$$alpha != 0$),都存在唯一的 $beta in CC$ 使得 $alpha beta = 1$
证明:对于任 $alpha in CC$$alpha != 0$),都存在唯一的 $beta in CC$ 使得 $alpha beta = 1$
][
根据定义,令 $alpha = a + b ii$(其中 $a,b in RR$),则取 $beta = (a / (a^2 + b^2)) - (b / (a^2 + b^2)) ii$,则有

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@ -2,7 +2,7 @@
#import "../math.typ": ii, complexification
#exercise_sol(type: "proof")[
证明:$-(-v)=v$ 对任 $v in V$ 都成立。
证明:$-(-v)=v$ 对任 $v in V$ 都成立。
#note[沿用原书记号1.29,即 $V$ 表示 $FF$ 上的向量空间。下文不再赘述。]
][