Hi there,

I was asked to compute the inverse laplace transform of 
1/s^2 + (e^s - 2)/(s*(e^s-1))

I've tried to evaluate it using online calculators like wolframalpha.However,none of them was able to give an answer.

So,this is what I've got from Maple:

I was wondering if it is correct.The graph doesn't look too bad but I've no idea what 1+frac(t) means.Some help would be greatly appreciated,thanks!

p.s.I've loaded the with(inttrans) package

This fails (the code computes the quotient group directly from the definition):

with(GroupTheory):

Qgr := (sgr, gr) -> CustomGroup(LeftCosets(sgr, gr),
  `.` = ((a, b) -> LeftCoset(Representative(a) . Representative(b), sgr)),
  `/` = ((a) -> LeftCoset(Representative(a)^(-1), sgr)),
  `=` = ((a, b) -> Elements(a) = Elements(b)));

gr := QuaternionGroup();
Generators(gr);
                [(1, 2, 3, 4)(5, 6, 8, 7), (1, 5, 3, 8)(2, 7, 4, 6)]

qgr := Qgr(Subgroup({Generators(gr)[1]^2}, gr), gr);
                  qgr := ` < a custom group with 4 generators > `

AreIsomorphic(qgr, DirectProduct(CyclicGroup(2), CyclicGroup(2)));
Error, (in =) invalid keyword expression

If I rename the parameters in the definition of Qgr, e.g., change the last line to

`=` = ((aa, bb) -> Elements(aa) = Elements(bb))

then everything works, AreIsomorphic gives true.

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!

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.
 

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.

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

And the Nobel prize in physics 2017 went for work in General Relativity ! Actually, experimental work involving sophisticated detectors and Numerical Relativity, one of the branches of GR. The prize was awarded to Rainer Weiss (85 years old, 1/2 of the prize), Barry Barish (81 years old, 1/4 of the prize) and Kip Thorne (77 years old, 1/4 of the prize) who have "shaken the world again" with their work on Ligo experiment, which was able to detect ripples in the fabric of spacetime.

General Relativity continues to be at the center of work in theoretical and experimental physics. I take this opportunity to note that, in Maple 2017, among the several improvements in the Physics package regarding General Relativity, there is a new package, Physics:-ThreePlusOne, all dedicated to the symbolic manipulations necessary to formulate problems in Numerical Relativity.

The GR functionality implemented in Physics, Physics:-Tetrads and Physics:-ThreePlusOne is unique in computer algebra systems and reflects the Maplesoft intention, for several years now, to provide the very best possible computer algebra environment for Physics, regarding current research activity as well as related education in advanced mathematical-physics methods.

For what is going on in theoretical physics nowadays and its connection with General Relativity, in very short: the unification of gravity with the other forces, check for instance this map from Aug/2015 (by the way a very nice summary for whoever is interested):

It is also interesting the article behind this map of topics as well as this brilliant and accessible presentation by Nima Arkani-Hamed (Princeton):  Quantum Mechanics and Spacetime in the 21st Century, given in the Perimeter Institute for Theoretical Physics (Waterloo), November 2014. 

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

We have released a small maintenance update to Maple. Maple 2017.3 provides enhancements in several areas, including mathematical typesetting, pdsolve, and the Physics package. It also provides improvements to the MapleCloud, including a fix for a problem that prevented some Mac users from logging on with their Google credentials.

This update is available through Tools>Check for Updates in Maple, and is also available from our website on the Maple 2017.3 download page.

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]
>