MaplePrimes Questions


 

restart

mu:=0.0025

0.25e-2

(1)

A:=1*10^(-20); Aprim:=4.46*10^(-20);

1/100000000000000000000

 

0.4460000000e-19

(2)

eta:=1.003*10^(-3)

0.1003000000e-2

(3)

V:=2*10^(-9)

1/500000000

(4)

ode:=mu*h(x)*diff(h(x),x,x)+mu*A/(6*pi*h(x)^2)-eta*V

0.25e-2*h(x)*(diff(diff(h(x), x), x))+0.4166666667e-23/(pi*h(x)^2)-0.2006000000e-11

(5)

ode1:=mu*h(x)^3*diff(h(x),x,x)-eta*V*h(x)^2+mu*A/(6*pi)=0

0.25e-2*h(x)^3*(diff(diff(h(x), x), x))-0.2006000000e-11*h(x)^2+0.4166666667e-23/pi = 0

(6)

ic1:=h(0)=3/1000000000, D(h)(-0.20e-4)=0,h(-0.20e-4)=1e-9

h(0) = 3/1000000000, (D(h))(-0.20e-4) = 0, h(-0.20e-4) = 0.1e-8

(7)

dsol1 := dsolve({ic1, ode}, numeric)

Error, (in dsolve/numeric/bvp) system is singular at left endpoint, use midpoint method instead

 

``


 

Download velocity_tehta1.mwvelocity_tehta1.mw

Hello,

I am facing a problem when trying to simplify those kind of equation: 

((((((((((((((OD &and (NPi &or NEXTotp)) &and &not ((((((((POinoBlaze &and &not (OD &and ((POLYGi1 &and POBIASPdrawing2) &or  (POLYGi1 &and POBIASMdrawing2)))) &or (OD &and (spolyp2 &or spolym2))) &and &not (OD &and ((POLYGi2 &and POBIASPdrawing4) &or (POLYGi2 &and POBIASMdrawing4)))) &or (OD &and (spolyp4 &or spolym4))) &and &not (OD &and ((POLYGi3 &and POBIASPdrawing6) &or (POLYGi3 &and POBIASMdrawing6)))) &or (OD &and (spolyp6 &or spolym6))) &and &not BLACKBOXall) &and &not POLYACTsign)) &and (((BULK &and &not (SUBS1 &and &not MSUB0)) &and &not (NWELi &and &not MKRMSKREG)) &and &not PWbki)) &and &not ((NACTALL0 &and &not  NWRNW) &and &not  PWELL1)) &and &not OD225dg) &and &not OD218dg)  &and &not ((VNPNMSIPW &and &not EMPTY) &or (VNPNMSIPW25 &and &not EMPTY))) &and &not RPOi) &and &not ((NACTALL0 &and PWELL1)  &and  POi)) &and &not (((OD &and (PPi &and &not (SEALRINGi  &and &not PMDMY))) &and &not POi) &and PWELL1)) &and &not VTHNi) &and &not VTLNi) &and ((DCOng &or DCOmsk) &or DCOdg)) &and &not MKRHPA) &and &not EMPTY

When i try to simplify the previous equation by using this methode:

with(Logic);
BooleanSimplify(Equation);

Maple runs in loop and i'm just getting those kind of replys :

    |\^/|     Maple 2016 (X86 64 LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2016
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> with(Logic);
        [&and, &iff, &implies, &nand, &nor, &not, &or, &xor, BooleanGraph, BooleanSimplify, Canonicalize, Complement, Contradiction, Dual, Environment, Equivalent, Export, Implies, Import, Normalize, Random, Satisfiable, Satisfy, Tautology, TruthTable, Tseitin]

> BooleanSimplify(((((((((((((((OD &and (NPi &or NEXTotp)) &and &not ((((((((POinoBlaze &and &not (OD &and ((POLYGi1 &and POBIASPdrawing\
> 2) &or  (POLYGi1 &and POBIASMdrawing2)))) &or (OD &and (spolyp2 &or spolym2))) &and &not (OD &and ((POLYGi2 &and POBIASPdrawing4) &or \
> (POLYGi2 &and POBIASMdrawing4)))) &or (OD &and (spolyp4 &or spolym4))) &and &not (OD &and ((POLYGi3 &and POBIASPdrawing6) &or (POLYGi3\
>  &and POBIASMdrawing6)))) &or (OD &and (spolyp6 &or spolym6))) &and &not BLACKBOXall) &and &not POLYACTsign)) &and (((BULK &and &not (\
> SUBS1 &and &not MSUB0)) &and &not (NWELi &and &not MKRMSKREG)) &and &not PWbki)) &and &not ((NACTALL0 &and &not  NWRNW) &and &not  PWE\
> LL1)) &and &not OD225dg) &and &not OD218dg)  &and &not ((VNPNMSIPW &and &not EMPTY) &or (VNPNMSIPW25 &and &not EMPTY))) &and &not RPOi\
> ) &and &not ((NACTALL0 &and PWELL1)  &and  POi)) &and &not (((OD &and (PPi &and &not (SEALRINGi  &and &not PMDMY))) &and &not POi) &and PWELL1)) &and &not VTHNi) &and &not VTLNi) &and ((DCOng &or DCOmsk) &or DCOdg)) &and &not MKRHPA) &and &not EMPTY);
memory used=3.8MB, alloc=40.3MB, time=0.23
memory used=39.0MB, alloc=78.8MB, time=0.89
memory used=96.1MB, alloc=123.9MB, time=2.22
memory used=127.6MB, alloc=411.9MB, time=3.51
memory used=130.5MB, alloc=443.9MB, time=5.71
memory used=136.2MB, alloc=443.9MB, time=7.11
memory used=203.0MB, alloc=475.9MB, time=10.22
memory used=205.5MB, alloc=475.9MB, time=11.71
memory used=326.1MB, alloc=507.9MB, time=14.84

When i delete all the parentheses, everythink work perfectly.

So i assume that when there is too much parentheses dependence maple work not correctly.

Do you have any idea if i'm wrong or not ? Maybe i'm not using the functions correctly ?

Do you have any suggestion on how i should proceed to simplify this equation ?

Thank you for your help.

Dear all,

I get the error "" if I try to plot this:

plot(minimize((s*t)^((s*t)^(s*t))/t^(t^t), t > 0), s = 1 .. 5)

Does anybody know how to get rid of this error? Is it possible/wise to increase the levels of recursion?

Thank you!


 

alias in rtables does not work when typesetting=extended (default in Maple 2017)

restart;

alias(alpha=RootOf(z^3+z+1,z));

alpha

(1)

L:=simplify([seq(alpha^k,k=0..5)]);

[1, alpha, alpha^2, -alpha-1, -alpha*(alpha+1), -alpha^2+alpha+1]

(2)

V:=convert(L,Vector);

_rtable[18446744074335181870]

(3)

interface(typesetting=standard);

extended

(4)

V;

7275930162710271107275012117273962706

(5)

 

This doesn't work directly:

is(RootOf(_Z^3-_Z-1, index = 1)+RootOf(_Z^3-_Z-1, index = 2) = 0);
                                      FAIL

But Maple can compute the bounding interval for a polynomial RootOf (convert(..., RootOf, form=interval)), and evalrC can perform operations on complex intervals:

evalrC(RootOf(_Z^3-_Z-1, index = 1)+RootOf(_Z^3-_Z-1, index = 2));
       INTERVAL(0.6623589782, 0.5622795119, 0.6623589795, 0.5622795122)

evalrC(Re(%));
Error, (in evalrC/INTERVAL) not implemented yet: 4

Re and Im are obviously positive though. Why doesn't Maple try to do that automatically, and also, how do I check if the point is inside the interval? (Without writing my own function to handle real intervals, unions of real intervals, and complex intervals.)

 

With Typesetting level: Extended, INTERVAL displays only the first argument. So evalr(1/INTERVAL(-1 .. 1)) is displayed as INTERVAL(-infinity .. -1), and INTERVAL(-1,-1,1,1) is displayed as INTERVAL(-1).

 

 

I attach a file in which i get an error though it performs.

I made a for do statement which performs perfectly for one loop, but gives an error "unexpected ',' , though performs (i cld not find the errors!).
What does this error state then? How do i remove when I use semicolon to end statement? Can any one help me. Thanks.
 

Data made for Data[i,j] [k] where i =1,2; j=1..8. Each Data has 6 values. k = 1..6

For each data i got an output list of 6 values using a module;

I made a for do statement which performs but gives an error "unexpected ','.

Can any onr help to find my mistake. Thanks.

 

restart

R1 := "SE2"; BP__ref := 3.93; BTE__optimum := .334; BP := 2.36; BTE := .271; sfc := .308; Data[1, 1] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]
NULL

R2 := "SE2"; BP__ref := 3.93; BTE__optimum := .334; BP := 2.75; BTE := .298; sfc := .282; Data[1, 2] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R3 := "SE2"; BP__ref := 3.93; BTE__optimum := .334; BP := 3.14; BTE := .318; sfc := .264; Data[1, 3] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R4 := "SE2"; BP__ref := 3.93; BTE__optimum := .334; BP := 3.53; BTE := .330; sfc := .253; Data[1, 4] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R5 := "SE2"; BP__ref := 3.93; BTE__optimum := .334; BP := 3.88; BTE := .334; sfc := .249; Data[1, 5] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R6 := "SE2"; BP__ref := 3.93; BTE__optimum := .334; BP := 3.93; BTE := .334; sfc := .249; Data[1, 6] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R7 := "SE2"; BP__ref := 3.93; BTE__optimum := .334; BP := 4.32; BTE := .330; sfc := .253; Data[1, 7] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R8 := "SE2"; BP__ref := 3.93; BTE__optimum := .334; BP := 4.71; BTE := .318; sfc := .264; Data[1, 8] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

NULL

R1 := "4S"; BP__ref := 3.88; BTE__optimum := .383; BP := 2.36; BTE := .323; sfc := .258; Data[2, 1] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R2 := "4S"; BP__ref := 3.88; BTE__optimum := .383; BP := 2.75; BTE := .350; sfc := .239; Data[2, 2] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R3 := "4S"; BP__ref := 3.88; BTE__optimum := .383; BP := 3.14; BTE := .369; sfc := .229; Data[2, 3] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R4 := "4S"; BP__ref := 3.88; BTE__optimum := .383; BP := 3.53; BTE := .380; sfc := .219; Data[2, 4] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R5 := "4S"; BP__ref := 3.88; BTE__optimum := .383; BP := 3.88; BTE := .383; sfc := .217; Data[2, 5] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R6 := "4S"; BP__ref := 3.88; BTE__optimum := .383; BP := 3.88; BTE := .383; sfc := .217; Data[2, 6] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R7 := "4S"; BP__ref := 3.88; BTE__optimum := .383; BP := 4.32; BTE := .378; sfc := .221; Data[2, 7] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

R8 := "4S"; BP__ref := 3.88; BTE__optimum := .383; BP := 4.71; BTE := .365; sfc := .229; Data[2, 8] := [R1, BP__ref, BTE__optimum, BP, BTE, sfc]

 

``

Data[1, 8][4]

4.71

(1)

``

``

for i to 2 do for j to 8 do y[i, j] := action1:-Mproc(Data[i, j]); print(Data[i, j], y[i, j]) end do end do

["4S", 3.88, .383, 4.71, .365, .229], ["4S", .4311313490, 0.5411807293e-1, 0.3357509744e-1, .4235561571, 0.6183000001e-1]

(2)

NULL

N1 := NULL; for j to 8 do N1 := N1, Data[1, j][4] end do; print(N1)

2.36, 2.75, 3.14, 3.53, 3.88, 3.93, 4.32, 4.71

(3)

for i to 2 do N[i] := NULL; for j to 8 do N[i] := N[i], Data[i, j][4] end do end do; print(N[2])

Error, `,` unexpected

 

N[2]

2.36, 2.75, 3.14, 3.53, 3.88, 3.88, 4.32, 4.71

(4)

N[1]

2.36, 2.75, 3.14, 3.53, 3.88, 3.93, 4.32, 4.71

(5)

``


 

Download Doubt_A_ReactantValues.mw

Doubt_A_ReactantValues.mw

How does one delete an empty cell. I can't see to do that easily, please see the attached for what I am trying to explain.

eq1 := 3*x^2+x+2

``

if 6*x+1 = diff(eq1(x), x) then print(yes) else print(no) end if


 

Download 2.mw

 

 

 

How do you indent your code neatly ? There should be a feature for automatic indentation, the code structure closesly follows python coding style and having it organized would be very helpful.

 

Any advise is appreciated.

Hello.

I have a problem for determining a and b?

please help me.

thanks

PADE.mw



Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/PADE.mw .
 

Download PADE.mw



 

 

where i'm wrong
 

> with(plottools);
> with(plots);
> m := PLOT(polygon([[2, 2], [2, 3], [4, 3], [4, 2]], color = blue), polygon([[1, 1], [1, 4], [5, 4], [5, 1]], color = red), polygon([[1, 4], [3, 6], [5, 4]], thickness = 3, color = red), curve([[4.5, 5.5], [5, 6]]), polygon([[3.5, 5], [4, 5.5], [4.5, 5], [4, 4.5]], color = red));
> n := PLOT(polygon([[2, 2], [2, 3], [4, 3], [4, 2]], color = green), polygon([[1, 1], [1, 4], [5, 4], [5, 1]], color = red), polygon([[1, 4], [3, 6], [5, 4]], thickness = 3, color = red), curve([[5.5, 6], [6, 6.5]]), polygon([[3.5, 5], [4, 5.5], [4.5, 5], [4, 4.5]], color = red));
> display([m, n], insequence = true);
Error, (in plots:-display) expecting plot structures but received: [m, n]
>

 

I was to define a function of two variable in terms of two other functions.  This other function depends on another two functions which are unknown.  For example

g(u,v)=alpha(u,v)*beta(u,v)

h(u,v)=alpha(u,v)+beta(u,v)

f(u,v) = D_1g(u,v)*h(u,v).

 

I tried by writtinge this line 

g:=(u,v)->alpha(u,v)*beta(u,v)

h:=(u,v)->alpha(u,v)+beta(u,v)

f:=(u,v)->D[1](g)(u,v)*h(u,v).

Is this correct?   

If this is correct, then how I make maple show f in tems of the unkown functions alpha and beta?

 

Thanks,

 

Sergio

i want to use by part integration for triple integral but parts dont work properly, how i can fix it?

 

The following procedure describes the path of a projectile fired from the origin with a launch angle of alpha and a launch velocity of u.

z := proc (x) options operator, arrow; tan(alpha)*x-(1/2)*g*x^2/(u^2*cos(alpha)^2) end proc

The projectile's path must pass through the point [a, h], both values greater than zero.

Can an expression be found for the minimum value of u and its related value for alpha?

the infint  summation  maple cant evaluated it  when my variables  are more than one decimal number 

;

First 931 932 933 934 935 936 937 Last Page 933 of 2434