Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 2 pot
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 2 pot
... =
111 122
123 3
123 211
22 2 22 2
22 2 2
22 2 222 22
Ak
k
k
Bk
k
k
() ()=−
+
=
+11
2
and
lk
k
kk
()
!
()!()
+=
+
=
+
1
1
1
1
vk
j
j
jCjC
kkk
C
j
k
j
k
()
()
()
()( )
+=
+
++= +=
++
+
==
∑∑
1
1
1
12 1
6
2
1
2
1
© ... n=1: 120 00
a =-0 .99;b1=1;b2=0.98;
x1(1)=4;y1(1)=0;x2(1)=4;y2(1)=0;
x1(n+1)=b1*y1(n)+a*x1(n) +2* (1-a)*(x1(n)) ^2/ (1+
(x1(n) ^2) );
y1(n+1)=-x1(n)+a*x1(...
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 3 docx
... )
=+
=+
−∞
∫
2
22
π
ππ ττ
yx
xx x
xx x() . . .=
++ −≤<−
−−<<
2
2
44 2 1
0 16 0 48 1 1 5
0
for
for
elsewhere
© 20 01 by CRC Press LLC
In-Class Exercise
Pb. 3.19 In ... F
FaFF
=
=
=
−
−−
−−
10
10
10 10
3
9 12
15 18
(milli-Farad); F = 10 (micro-Farad);
(nano-Farad); pF = 10 (pico-Farad);
fF = (femto-Farad); (atto-Farad);
–6
µ
D
a
b
a
,
Take
0
ε
ε
=
...
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 4 docx
... system gov-
erned by the difference equation:
wxwww() () () ( )20
1
2
210
22 2
== + +
…
∆
etc.
w
x
2
0
2
()=
∆
wi
x
i
i
2
4
1 123 () ( ) , , ,=− = …
∆
for
b
x
0
2
2
()
=
∆
b
x
1
2
2
()
=−
∆
a
1
2
1
()
=
Dk
t
yk ... signal.
()
()
(/)
(/)
/
/
/
/
ax b dx
b
a
ba
ba
2
32
12
12
12
4
3
+=
−
−−
−
∫
bba
b
a
(( /) )
()
,
/
/
/
2
2
12
32
12
−=
−
© 20 01 by CRC...
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 5 potx
... can-
zxy
zxy
1
3
2
22
023
034
== + −
== + −
zxyyx
zxy
1
32 2
2
22
027 4
0331
== + + −−
== + −
sin ( ) /
zxy
zxy
1
32 2
2
03 12
09
== + − −
==+−
/
()
zxy
zx
y
1
2
2
0
0
4
1
4
== ... that:
(5 .25 )
(5 .26 )
(5 .27 )
Now, replacing the values of a (2) and b (2) from Eqs. (5 .26 ) and (5 .27 ) into Eq.
(5 .25 ), we are led to a second-degree equation in r:
r...
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 6 pdf
... ba
12 12 12 12 12
()()
zz z z
12 1
2
2
2
,,
zjz j
12
31==−;
zjzj
12
46 23 =+ =−;
zjzj
12
1
3
24
1
2
15=+ =−(); ()
zjzj
12
1
3
24
1
2
15=− =+(); ()
( )2
1
2
2
2
++
jj
© 20 01 ... )]
1
22
z
z
zz
=
−
+
a. b c
34
25
3
13
12
23
3
2
+
+
+
−+
−
+
−
+
j
j
j
jj
j
j
j
j()()
zz zz
zz zz
zz zz
zz zz
zz
12 12
12 12...
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 7 pot
... v v ucos( ) ( )θ
1
2
2
2
2
r
r
uv u u v v v u v u uv uv⋅= +++− − − − = +
1
2
1
2
2
2
1
2
2
2
11
2
22
2
11 22
(()()
r
r
uv uv uv uv
nn
⋅= + +…+
11 22
rrr
uuuuu u
n
2
1
2
2
22
=⋅= + +…+
r
u
r
v
r
r
u ... n
=++…+
12
111 1
12
RRR R
parallel
n
=++…+
uv u v+≤ +
uv uvuv uv uv vv
uuvvu uvv
+=++= + +
=+ +≤+ +
2
222 2
2
22
uv u uv v u v+≤ + + =+
()
22 2
2
2
©...
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 8 pdf
... vw
11 22 33 1 1 2 2 3 3
1
2
11 2
2
22 3
2
33 121 2 21 21
1313 3131 23 32 3 3 23 2
vw vw+σ σ )
()()()σσσ
1
2
11 2
2
22 3
2
33 11 22 33
vw vw vw vw vw vw v w++ =++=⋅II
rr
()()σσ σσ σ
121 2 21 2 1 3 12 21
vw ... and 2; therefore:
giving:
and
dx
dt
xx
dx
dt
xx
1
12
2
12
2
22
=+
=−
A =
−
12
22
eab
eab
t
t
−
=−
=+
3
2
3
2
ae e
be e
tt
tt
=+
=...
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 9 ppt
... by:
′
=
−
−
′
=
′
=
′
=
−
−
x
xvt
v
c
yyzzt
t
v
c
x
v
c
11
2
2
2
2
2
,,,
′
+
′
+
′
−
′
=++−xyzctxyzct
22 222 222 22
x x x y x z x jct
123 4
====,,,
L
β
β
β
β
β
ββ
=
−−
−
−−
1
1
00
1
0100
0010
1
00
1
1
22
22
j
j
β=
v
c
,
© ... )
( cos( ) )
[ ( / ) cos( )]
θ
θ
θ
=
′′
+
+
′′
1
2
u
u
uv c
sin( )
sin( )
[ ( / ) cos( )]
θ
θβ
θ
=
′′
−
+
′′
1
1
2
2...
Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 10 docx
... θ θπ θ+= += 2 2and
sin( / ) cos( ) cos( / ) sin( )πθ θ πθ 22 −= − =and
tan( )
sin( )
cos( )
cot( )
tan( )
θ
θ
θ
θ
θ
= =and
1
cab ab
22 2
2= +− cos( )γ
sin( ) sin( ) sin( )αβγ
abc
==
© 20 01 by CRC ... n
ae
k
ae
k
ae
k
mm
→∞
+
−−
−
…= …
12 1
1
1
2
2
11 22
lim !
n
nn
nnne
→∞
−
≈ 2
© 20 01 by CRC Press LLC
• For n = 2, the result holds because by Eq. (10 .26 ) we have:
and s...
Engineering and Scientific Computations Using MATLAB phần 2 pot
...
displayed for all
MATLAB
versions.
For
example, for
MATLAB
6.1,
see
Figure
1. 12.
Chapter
2:
MA
TLAB
Functions,
Operators, and Commands 34
Chapter
2:
MA
TLAB
Functions, operators, and ... application of the
MATLAB
environment and
SIMULINK
to perform simulations for the F-14
and three-degrees-of-freedom guided missile models.
Chapter
1:
MATLAB...
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