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clear notation for F and n

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Signed-off-by: szdytom <szdytom@qq.com>
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方而静 2025-07-07 13:18:48 +08:00
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sections/1A.typ
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@ -1,4 +1,4 @@
#import "../styles.typ": exercise_sol, ee, ii, note, tab, simple_box #import "../styles.typ": exercise_sol, ii, note, tab, simple_box
== $RR^n$ 和 $CC^n$ == $RR^n$ 和 $CC^n$
@ -115,6 +115,8 @@
#exercise_sol(type: "proof")[ #exercise_sol(type: "proof")[
证明：$(x+y)+z=x+(y+z)$ 对所有 $x,y,z in FF^n$ 成立。 证明：$(x+y)+z=x+(y+z)$ 对所有 $x,y,z in FF^n$ 成立。
#note[注：沿用原书记号1.6与记号1.10，即 $FF$ 表示 $RR$ 或 $CC$，$n$ 表示某一固定的正整数。下文不再赘述。]
][ ][
#tab 根据定义，令 $x = (x_1, x_2, dots, x_n)$，$y = (y_1, y_2, dots, y_n)$，$z = (z_1, z_2, dots, z_n)$，则有： #tab 根据定义，令 $x = (x_1, x_2, dots, x_n)$，$y = (y_1, y_2, dots, y_n)$，$z = (z_1, z_2, dots, z_n)$，则有：
$ (x+y)+z &= ((x_1+y_1, x_2+y_2, dots, x_n+y_n) + (z_1, z_2, dots, z_n)) \ $ (x+y)+z &= ((x_1+y_1, x_2+y_2, dots, x_n+y_n) + (z_1, z_2, dots, z_n)) \