.


:




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MathCad




.

- . AddLine. ' , . . . AddLine. , <DEL>.

:=, .

2.1. :

2.2. F (1,5,3) F (2,3,5)

2.3. . :

: (x,y,z):=

Programming palette;

Add Line ( );

:

- ;

: ;

.

򳺿 F (x,y,z), .

ϳ (1,5,3) (2,3,5) , .

3. 2.1 23 . :

4. 2.2 23.

5. , if:

. = 12, if . otherwise .

ϳ (1.2) (-0.8).

4. ().

6. :

7. _5.


26

: MathCad. .

: .

ճ .

MathCad.

N:=100

3. FOR

N:=100

F(n):= F 0

For n 1..N

F F+

F(N) .2.

4. 1 n FOR

Sum(n):= S 0

For i 1..n

S S+i

Sum(10)=

Sum(20)=

5. .

n = 10

: - ;

- (Symboli Keyword Palette)

- , ;

:

6. ,

- (t)= A*F -at cos(2× ×F×t) , F, , N, t 1 2 0,01 (t);

- (t)

- 0 2;

- : = 0..N

- t:=
(): = (tK)

- ()

7. = 9 ×10-31 q = 6 ×10-19 = 0.1 = 300 . .

:

- m, q, B ;

- j: = 1..2

- Vj : = j× 0.2 × 107

- ; 0 2 × 10-4;

Vx : = Vj ×cos() Vy: = Vj ×sin(),

-
rj: =

-
: = 110-10 fi =

N: = 100

i: = 0..N-1

- Z

Xi: = Vx ×i ×

Yi: = rj ×sin (fi)

Zi: = rj (1-cos (fi))

- . 3d Scatter Plot X, Y, Z.

8. MathCad

q1 = 2 ×10-8 q2 = 10-8 , L = 1, E0 =8.85 ×10-12

ճ

r1, r2 q1, q2 ,

( = 1.5 = -1.5)

i: = 0..N

j: = 0..N , z = F(, ); N:=20

. ³ . ' _6.


27

: MathCad.

ճ .

1. .

l . , . v. ?

г.

t, , vt , , l :

г v ( ).

.

, t1, , , , .

 

г MathCad

2. .

г:

(t)=Ae-(KAt)

B(t)=-LBe-(KBt)[e-(KAt)-1]

; .

:

thA=10yr; thB=100yr; L=1,1;

t [0;120]; t=2.

(t) (t).

г MathCad

 

 

 

3.

, >

W() = , =

<

=2,5

 

4. .

, , 2. , , . k.

г

,

,

=0, .

 

г MathCad

 

5.

R1=sin(3 W)

R2=1,2sin(5 W)

W [0;2 ]; W =0,01 .

MathCad :

 

6.

x m,n= m)

zm,n=

ym,n= m)

Qm=2

Qn=2

m=020

n=020

r=2

R=6

г MathCad

 

7. -,

R=1; R1 = sin (W).

W [0;2 ]; W =0,1 .

MathCad :

8. f(r):= -(ri sin(ri)2).

i [1;XN]; j [1;rN];

a=0, b=4, rN=25, xN=40.

Sj=- 2 j/rN; ri=a+b-a/XN*i

i,j=risin (Sj)

i,j= ri cos (Sj)

Zi,j=f(r)

г MathCad

 

9. f(x,y)=sin(x2+y2).

Mi,j=f(x2,y2).

i [0;20]; j [0;20];

j=-1,5+0,15i

j=-1.5+0,15j

г MathCad

10. = .

:

ü ;

ü ;

ü ;

ü ;

ü = ;

ü .

11. .

=

 

12.

cosx + cos2x + cos4x + cos5x = 0

(1 tgx)(1+ sin2 x) = 1+tgx

sin2x 3cos2x = 3


7. Adobe Photoshop.

Photoshop Adobe. , .

 

Adobe Photoshop

 

 

Adobe Photoshop , . . .

File () Open (), Import (). , Adobe PDF . ' TWAIN, .

, ' . Image ð Image Size ( ð ) Image Size ( ). Pixel Dimensions () Document Size ( ) , ( ppi). ³ . 72 ppi, , ppi = 1,5 lpi, lpi , . , - , lpi dpi. 1:1 , , .

Tools () . , , , . ( ). , .

, . :

ü ';

ü ;

ü ';

ü ;

ü ;

ü ;

ü ;

ü Adobe Image Ready.

'

' , ' Marquee (), Move (), Lasso (), Magic Wand ( ), Crop () Slice ( ). , . ( ) , . ֳ ' . . () , , . , .

. Healing Brush ( ) Patch (), Brush () Pencil (), Clone Stamp ( ) Pattern Stamp ( ), History Brush ( ) Art History Brush ( ), Eraser (), Paint Bucket ( ) Gradient ( ). Blur (), Sharpen (), Smudge () Dodge (), Burn (), Sponge ().

. Pattern. 䳿 , . - , . - . 䳿 , .

. . / , // .

'

' , . n () . Text () . '. ' Path Selection ( ) Direct Selection ( ) .

' . Hand () , Zoom ( ) / . Eyedropper () - . Measure ( ). Notes () ' . Audio Annotation ( ).

.

, , . . , , .

Mask () Standard () Quick ( ).

, ( ) ( ).

Jump to Image Ready ( Image Ready).

. - ' .

, , . Adobe Photoshop .

Window () , . , , . , , , . , , ' . , , , . , ' , .

. . , , . , .

( ) , Palettes Well ( ). , .

Brushes () . , .

File Browser ( ) .

Info () . : , , .

Navigator () . .

Color () . .

Swatches () . , . . , Pantone.

Layers () , . , , .

Channels () , , , , , ' .

Paths () . Adobe Photoshop .

Actions () . , , , , .

. , , , . , , . Kai's Power Tools, Alien Skin, Andromeda .


28.

:

: , .

ճ .

1. Adobe Photoshop, Old lmage.jpg. , , \Adobe Photoshop 7.0\Samples. ' LR1_PS.jpg.

2. , . Image ð Adjustments ð Levels ( ð ð). , , .

3. . Auto (). 20, 238. .

4. , . . ³ Image ð Adjustments Curves ð - , . ( ) . , . ( ð ð ). .

5. - Levels (г). Input Levels -, . , -. .

6. LR1_PS.jpg.


29.

:

: , , , .

ճ .

1. Adobe Photoshop, LR1_PS.jpg. ' LR2_PS.jpg.

2. :

ü Lasso ()

ü Anti-aliased ( ) (Feather) 4 .

ü Lasso () .

3. Image ð Adjustments ð Levels ( ð ð ) Auto (). . , , .

4. . Stamp () Healing Brush ( ). .

ü Layers () Background () , , Duplicate Layer ( ). .

ü Stamp (). Brush () , , , Master Diameter ( ). ' (Soft Round).

ü , ALT, , , . . . ALT. Stamp .

5. ij , Healing Brush ( ˳) .

6. . Sharpen (). 䳿 . . , .

7. LR2_PS.jpg.


30.

: .

: . , . , , , . . , Adobe Photoshop.

ճ .

1. Adobe Photoshop, LR2_PS.jpg. ' LR3_PS.jpg.

2. . Filter ð Noise Dust & ð Scratches ( ð ð ). , . ³ , .

3. ϳ . Filter ð Sharpen ð Sharpen Edges ( ð ð ). , .

4. Stylize ().

5. Pixelate ().

6. LR3_PS.jpg.

7. Adobe Photoshop, LR3_PS.jpg. ' LR4_PS.jpg.

8. . Polygonal Lasso ( ). Feather ().

9. Polygonal Lasso ( ) . , Polygonal Lasso ( ) SHIFT ( ) ALT ( ).

10. . Magic Wand ( ). Tolerance () 24 (72-), , . SHIFT ALT. ().

11.. Lasso ().

12.. , . . Channels () . ' . CTRL.


31.

: Adobe Photoshop.

: .

ճ .

1. Adobe Photoshop, Ducky.tif Dune.tif.

2. Dune.tif Image Adjustments ð Levels ð Auto ( ð ð ð ).

3. Polygonal Lasso ( ), Ducky. tif .

4. Ducky.tif. Channels () .

5. Image ð Adjustments ð Levels ð Auto ( ð ð ð ).

6. - , 0,85 Image ð Adjustments ð Levels ( ð ð ).

7. , Feather () 4 .

8. Edit ð Copy ( ð ).

9. Dune.tif Edit ð Paste ( ð ).

10. Layers () 50%.

 

 

11. , , Layers ().

12. , . .

     
     
     

13.ϳ . -10(20), -15(30) -300. . ( ).


Photoshop

1 ³ Island girl.jpg .

2 - VARIATIONS (IMAGE ADJUSTMEMENTS VARIATIONS).

3 Fine Coarse , , , .

 

ð ð (Image ð Adjustments ð Auto Color) ( Find Dark & Light Colors). , . . .

, Auto Color .

 

1 ³ Island girl.jpg .

2 - - (Image ð Adjustments ð Auto Color)

3 .

 

1 . ³ Levels, ðð(Image ð Adjustments ð Levels). ALT, . ³ . .

2 (Eyedropper). , . SHIFT, . (Info) ' .

3 1 2 . Info ' .

4 (Levels). (Info) . (Blue).

5 (Channel) (Red) , R Info .

6 5 (Green).

7 4-6 .

1 . . #1 #2 . .

2 (Info) .

3 ð ð (Image ð Adjustments ð Color Balance). (Preserve Luminosity). (Shadows).

4 Blue - Yellow , Info. Red - Cyan. #1.

5 (Highlights). #2.

' .





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