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"MathCAD"

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Π

 

MathCAD

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: - 514

: ..

: ..

- 1997

:

1. ________________________________________________3

2.1 ____________________________________4

2.2 1______________________________________________5

2.3 _______________________________6

2.4 2______________________________________________7

2.5 3______________________________________________8

2.6 4______________________________________________9

2.7 5______________________________________________10

2.8 _______________________________11

2.9 _______________________11

3. MathCAD

3.1 MathCAD 3.0______________________________11

3.2 MathCAD PLUS 6.0

3.2.1 _________________________12

3.2.2 MathCAD_________________________15

3.2.3 ___________________________________________16

3.2.4 ______________________________16

3.2.5 _________________________17

3.2.6 ____________________________________17

4. MathCAD _18

1.

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(Eureka, MathCAD, MatLab .). - MathCAD.

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2.

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蠠 蠠

2

XY 3 = 9

ࠠ X! 4! = 24

\X 9 = 3

½X ½-5½ = 5

堠 X+Y 2 + 3 = 5

堠 X*Y 23 = 6

12

堠 X/Y `3 = 4

X:Y X : = 8

頠 X = X = 8

頠 i : = N1..N2 i : = 1,...,5

ࠠ i \ X X = 2i

i i

3

ࠠ i # X X = 3.8410

i i

1

ࠠ x&f(x) 2xdx = 0.93

0

f(X) : ... f(x): = sin x

頠 : ... x : = 1, f (x) = 0.841

df(x) = 0.54

頠 x ? f (x) ` dx

ࠠ X > Y 5 > 4 = 1, 4 > 5 = 0

頠 Jn(x) = Jn(1,.5) = 0. 242

蠠 J1(x) = J1(.5) = 0.242

erf(x) = erf(1) = 0.843

1. .

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logs = 0,0 subdivs = 1,1 size = 5,15 type = 1

logs - , , - ( ) . subdivs , size - , . Y , - . type . , L , d .. .

VO : = 7.5

W : = 4

L : = 8

X : = 0,0.2 .. 5

V(X) : = (L - 2X)(W - 2X)X

F(X) : = V(X) -VO

60

F(X), 0


20

0 X 5

X : = 0 root(V(X) - VO, X) = 0.297 ꠠ

X : = 1 root(V(X) - VO, X) = 1.5

X : = 4 root(V(X) - VO, X) = 4.203

(X > W/2)

X : = 1

Given

V(X) : = (L - 2X)(W - 2X)X

V(X) 100 ,

X M : = minerr ( X )

X M = 0.848

V(X M ) = 12.317

2. 


i : = -1

Z1 : = 2 + 3i Z2 : = 4 + 5i

Z : = Z1 + Z2 Z = 6 + 8i

Re ( Z ) = 6 Im ( Z ) = 8

sin ( Z1 ) = 9.154 - 4. 169i

: = 0 + 3i ( )

2

root(x + 2x +15, x) = - 1 + 3.742i ( )

x : = 0 - 3i ( )

2

root(x + 2x +15, x) = - 1 + 3.742i ( )

10 + 200i 0 - 200i 5 + 0i

: =ꠠ B : = ꠠ

0 - 200i 0 + 170i 0 + 0i

-1

X : = A B ( )

0.037 + 0.131i

ՠ : =ꠠ ( )

0.044 + 0.154i

1

f(x) : = ¾ z(t) : = cos(t) + sin(t)

x

-4

te : = 6.2832 TOL : = 10 ()

te

d

f(z(t)) ¾ z(t) dt = 6.283

     dt

0

3. .


0 0

.2 50 ( ,

.4 20

U: = .6 I : = 3 )

.8 4

1.0 14

1.2 55

linterp(U, I, 0.15 ) = 37.5 ( )

linterp(U , I, 0.5) = 11.5

J(V) : = linterp(U, I, V) ( J(V) )

V : = -0.05, - 0.025 .. 1.2

40

,

J(V),0

-40

-0.05 V 1.2

IS : = cspline(U ,I) ( )

interp (IS, U, I, 0.15) = 49.493 ( - )

interp (IS, U, I, 0.5) = 8.191

J(V) : = interp (IS, U, I, V ) ( J(V) )

V : = -0.05, - 0.025 .. 1.2

40 -

J(V),0

-40

-0.05 V 1.2

4. - N - () .

200

i : = 1..200 x : = rnd ( 10 )

i

10

i

0

1 i 200

mean(x) = 4.619 var(x) = 8.869

max (x) = 9.95 min (x) = 0

stdev (x) = 2.978

N : = 10 j : = 0..N k : = 0..N - 1

10

intervals : = 1 + j ¾ P : = hist (intervals, x )

j N

30


P

k

0

0 intervals 10

k

5. .

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2.50 . - .

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MathCAD PLUS 6.0

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A$ = Mid$(²COMPUTER², 3, 3) ¢ Mid$ -

Mid$(A$, 2,1) =²$$$² ¢ Mid$ -

StartTime$ = Time$ ¢ Time$ -

Time$ = ²12:30² ¢ Time$ -

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, , - MathCAD, - Mathemateca, Maple, Gauss . MathCAD Did not find solution ( ), - () TOL (TOLerance - , ). Find , , TOL. () MathCAD, 0.001, , MathCAD - TOL : = 0.00000001, . . MathCAD . , - ! - Find : Did not find solution . - . ( Given...Find) , , , , (, , ..) . (, , ..), , , , . , , , , . Given...Find, , . - ( ) , . . - , ... , , . Find Minerr (MINimal ERRor). Given...Minner .

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Add line

if

while

for

break

otherwise

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While - : while . while (), , ( while ) - .

If - .

Otherwise - :

C D if A > B

E F otherwise

for - .

Break - .

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1.   ʻ 891 43

2. ʻ 891 48

3. . MathCAD PLUS 6.0 . - .: ,1996.



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