例2:
L
(
Y
,
f
(
x
)
)
=
{
1
,
Y
!
=
f
(
x
)
0
,
Y
=
f
(
x
)
L(Y,f(x))= \begin{cases} 1, Y!=f(x) \\ 0, Y = f(x) \end{cases}
L(Y,f(x))={1,Y!=f(x)0,Y=f(x)
L(Y,f(x))=
\begin{cases}
1, Y!=f(x) \\
0, Y = f(x)
\end{cases}
例3:
{
d
r
d
ω
′
=
v
f
ω
′
d
v
d
ω
′
=
(
F
/
m
)
sin
ψ
−
g
/
r
2
+
r
ω
2
f
ω
′
d
θ
d
ω
′
=
ω
f
ω
d
ω
d
ω
′
=
−
1
d
m
d
ω
′
=
−
F
I
s
p
⋅
1
f
ω
′
\left\{ \begin{aligned} \frac{d r}{d \omega^{\prime}}&=\frac{v}{f \omega^{\prime}} \\ \frac{d v}{d \omega^{\prime}}&=\frac{(F / m) \sin \psi-g / r^{2}+r_{\omega^{2}}}{f \omega^{\prime}} \\ \frac{\mathrm{d} \theta}{\mathrm{d} \omega^{\prime}}&=\frac{\omega}{f \omega}\\ \frac{\mathrm{d} \omega}{\mathrm{d} \omega^{\prime}}&=-1 \\ \frac{\mathrm{d} m}{\mathrm{d} \omega^{\prime}}&=-\frac{F}{I_{\mathrm{sp}}} \cdot \frac{1}{f \omega^{\prime}} \end{aligned} \right.
⎩⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎧dω′drdω′dvdω′dθdω′dωdω′dm=fω′v=fω′(F/m)sinψ−g/r2+rω2=fωω=−1=−IspF⋅fω′1
例1:普通矩阵,不带括号
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
\begin{matrix} a & b & c & d & e\\ f & g & h & i & j \\ k & l & m & n & o \\ p & q & r & s & t \end{matrix}
afkpbglqchmrdinsejot
\begin{matrix}
a & b & c & d & e\\
f & g & h & i & j\\
k & l & m & n & o\\
p & q & r & s & t
\end{matrix}
例2:带中括号的矩阵
[
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
]
\left[ \begin{matrix} a & b & c & d & e\\ f & g & h & i & j \\ k & l & m & n & o \\ p & q & r & s & t \end{matrix} \right]
⎣⎢⎢⎡afkpbglqchmrdinsejot⎦⎥⎥⎤
\left[
\begin{matrix}
a & b & c & d & e\\
f & g & h & i & j \\
k & l & m & n & o \\
p & q & r & s & t
\end{matrix}
\right]
例3:带大括号的矩阵
{
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
}
\left\{ \begin{matrix} a & b & c & d & e\\ f & g & h & i & j \\ k & l & m & n & o \\ p & q & r & s & t \end{matrix} \right\}
⎩⎪⎪⎨⎪⎪⎧afkpbglqchmrdinsejot⎭⎪⎪⎬⎪⎪⎫
\left\{
\begin{matrix}
a & b & c & d & e\\
f & g & h & i & j \\
k & l & m & n & o \\
p & q & r & s & t
\end{matrix}
\right\}
例4:矩阵前有参数
A
=
{
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
}
A= \left\{ \begin{matrix} a & b & c & d & e\\ f & g & h & i & j \\ k & l & m & n & o \\ p & q & r & s & t \end{matrix} \right\}
A=⎩⎪⎪⎨⎪⎪⎧afkpbglqchmrdinsejot⎭⎪⎪⎬⎪⎪⎫
A=
\left\{
\begin{matrix}
a & b & c & d & e\\
f & g & h & i & j \\
k & l & m & n & o \\
p & q & r & s & t
\end{matrix}
\right\}
例5:矩阵中间有省略号
A
=
{
a
b
⋯
e
f
g
⋯
j
⋮
⋮
⋱
⋮
p
q
⋯
t
}
A= \left\{ \begin{matrix} a & b & \cdots & e\\ f & g & \cdots & j \\ \vdots & \vdots & \ddots & \vdots \\ p & q & \cdots & t \end{matrix} \right\}
A=⎩⎪⎪⎪⎨⎪⎪⎪⎧af⋮pbg⋮q⋯⋯⋱⋯ej⋮t⎭⎪⎪⎪⎬⎪⎪⎪⎫
A=
\left\{
\begin{matrix}
a & b & \cdots & e\\
f & g & \cdots & j \\
\vdots & \vdots & \ddots & \vdots \\
p & q & \cdots & t
\end{matrix}
\right\}
\cdots为水平方向的省略号 \vdots为竖直方向的省略号 \ddots为斜线方向的省略号
例6:矩阵中间加根横线
A
=
{
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
}
A= \left\{ \begin{array}{cccc|c} a & b & c & d & e\\ f & g & h & i & j \\ k & l & m & n & o \\ p & q & r & s & t \end{array} \right\}
A=⎩⎪⎪⎨⎪⎪⎧afkpbglqchmrdinsejot⎭⎪⎪⎬⎪⎪⎫
A=
\left\{
\begin{array}{cccc|c}
a & b & c & d & e\\
f & g & h & i & j \\
k & l & m & n & o \\
p & q & r & s & t
\end{array}
\right\}