mirror of
https://github.com/szdytom/LADRSolutions.git
synced 2025-10-19 16:30:16 +00:00
简化了条件表达式
Signed-off-by: szdytom <szdytom@qq.com>
This commit is contained in:
parent
3d5b9d595a
commit
3e2891e1af
@ -63,19 +63,19 @@
|
|||||||
令 $infinity$ 和 $-infinity$ 是不在 $RR$ 中的不同对象。以最符合直觉的方式定义 $RR union {infinity, -infinity}$ 上的加法和标量乘法。具体而言,两个实数的和和积照常定义,而对于 $t in RR$,我们定义
|
令 $infinity$ 和 $-infinity$ 是不在 $RR$ 中的不同对象。以最符合直觉的方式定义 $RR union {infinity, -infinity}$ 上的加法和标量乘法。具体而言,两个实数的和和积照常定义,而对于 $t in RR$,我们定义
|
||||||
|
|
||||||
$ t infinity = cases(
|
$ t infinity = cases(
|
||||||
-infinity wide& "若 " t<0 ",",
|
-infinity wide& t < 0,
|
||||||
0 &"若 " t=0 ",",
|
0 & t = 0,
|
||||||
infinity &"若 " t>0 ";")
|
infinity & t > 0)
|
||||||
wide
|
wide
|
||||||
t (-infinity) = cases(
|
t (-infinity) = cases(
|
||||||
infinity wide& "若 " t<0 ",",
|
infinity wide& t < 0,
|
||||||
0 &"若 " t=0 ",",
|
0 & t = 0,
|
||||||
-infinity &"若 " t>0 ";") $
|
-infinity & t > 0) $
|
||||||
|
|
||||||
#tab 以及
|
#tab 以及
|
||||||
|
|
||||||
$ t + infinity &= infinity + t = infinity + infinity = infinity "," \
|
$ t + infinity &= infinity + t = infinity + infinity = infinity \
|
||||||
t + (-infinity) &= (-infinity) + t = (-infinity) + (-infinity) = -infinity "," \
|
t + (-infinity) &= (-infinity) + t = (-infinity) + (-infinity) = -infinity \
|
||||||
infinity + (-infinity) &= (-infinity) + infinity = 0 $
|
infinity + (-infinity) &= (-infinity) + infinity = 0 $
|
||||||
|
|
||||||
#tab 具有这样的加法和标量乘法的 $RR union {infinity, -infinity}$ 是 $RR$ 上的向量空间吗?解释一下。
|
#tab 具有这样的加法和标量乘法的 $RR union {infinity, -infinity}$ 是 $RR$ 上的向量空间吗?解释一下。
|
||||||
|
Loading…
x
Reference in New Issue
Block a user