## 520 Reputation

9 years, 173 days

## Social Networks and Content at Maplesoft.com

Seldom to ask question after retired math hobby Just waiting for beauty who born in 1994 And waited for her email to mavio@protonmail.com What is the difference in ownership among different universe?

## i mean this is to calculate the Groebner...

i mean this is to calculate the Groebner basis of kernel of this map

Q[r,u,v,w] -> Q[x,y]

= G intersect k[r,u,v,w]

## Leading power of product should be the t...

Leading power of product should be the term with a variable has the highest degree

## i mean this map r -> x^4u -&g...

i mean this map

r  ->  x^4
u -> (x^3)*y
v -> x*y^3
w -> y^4
this question is only allowed to use basis to solve this problem
correct output should be := {v*u-w*r,v^3-u*w^2,-u^2*w+v^2*r,u^3-v*r^2};

actually i am not sure whether k[r,u,v,w] is K[1],K[2],K[3],K[4] of above list
do we or can we need to further eliminate G2 to correct output stated above

## i mean the term which contain the single...

i mean the term which contain the a variable which power is the highest among all the terms

in above case should be y^2

however after i search manual no function result in this

product means a product term only has product, for example a*b, a*b*c, a*b*c*d ,etc

## i mean the term which contain the single...

i mean the term which contain the a variable which power is the highest among all the terms

in above case should be y^2

however after i search manual no function result in this

product means a product term only has product, for example a*b, a*b*c, a*b*c*d ,etc

## if there is a framework to let me plug i...

if there is a framework to let me plug in integration rules in it, then it is very convenient

## if there is a framework to let me plug i...

if there is a framework to let me plug in integration rules in it, then it is very convenient

http://www.maplesoft.com/support/help/Maple/view.aspx?path=LREtools/HypergeometricTerm&term=LREtools[HypergeometricTerm]

it do not have q-Laplace, i need inverse q-Laplace, it has q for q-hypergoemetric

why look LREtools?

actually i need q integration, how to implement a new kind of integration like maple do such as

http://en.wikipedia.org/wiki/Integration_by_substitution

http://www.maplesoft.com/support/help/Maple/view.aspx?path=LREtools/HypergeometricTerm&term=LREtools[HypergeometricTerm]

it do not have q-Laplace, i need inverse q-Laplace, it has q for q-hypergoemetric

why look LREtools?

actually i need q integration, how to implement a new kind of integration like maple do such as

http://en.wikipedia.org/wiki/Integration_by_substitution

## i use continuous fourier transform conti...

i use continuous fourier transform continous to discrete, failed

i := 2;

disnetwork := int(exp(-I*s*u)*contnetwork, s=-infinity..infinity);

ztrans(disnetwork, s, z);

then i use dynamic system's function, can not convert because not a system object

restart;
with(inttrans):
with(SumTools):
with(DynamicSystems):
network := sqrt(2*p)*((s-p)^(i-1))/((s+p)^i):
sys := subs(i=2, network):
disnetwork := ToDiscrete(sys, 1, method = forward);
disnetwork := ToDiscrete(sys, 1, method = backward);
disnetwork := ToDiscrete(sys, 1, method = bilinear);

then i try matlab, it can convert but not the expected

syms s p;
contnetwork = sqrt(2*p)*((s-p)^(i-1))/((s+p)^i);
c2d(contnetwork,0.1,'foh')
c2d(contnetwork,0.1,'imp')

## i use continuous fourier transform conti...

i use continuous fourier transform continous to discrete, failed

i := 2;

disnetwork := int(exp(-I*s*u)*contnetwork, s=-infinity..infinity);

ztrans(disnetwork, s, z);

then i use dynamic system's function, can not convert because not a system object

restart;
with(inttrans):
with(SumTools):
with(DynamicSystems):
network := sqrt(2*p)*((s-p)^(i-1))/((s+p)^i):
sys := subs(i=2, network):
disnetwork := ToDiscrete(sys, 1, method = forward);
disnetwork := ToDiscrete(sys, 1, method = backward);
disnetwork := ToDiscrete(sys, 1, method = bilinear);

then i try matlab, it can convert but not the expected

syms s p;
contnetwork = sqrt(2*p)*((s-p)^(i-1))/((s+p)^i);
c2d(contnetwork,0.1,'foh')
c2d(contnetwork,0.1,'imp')

## when try to reverse find back alpha and ...

when try to reverse find back alpha and x from existing equations

x and alpha are very complex

solve({sqrt(2*p)*exp(-p*t) = exp(x)*(x^(-alpha))/0!*exp(-x)*(x^(0+alpha)), sqrt(2*p)*(-2*p*t+1)*exp(-p*t) = exp(x)*(x^(-alpha))/1!*diff(exp(-x)*(x^(1+alpha)), x\$1)},{alpha,x});

i still suspect this rodrigue formula is the source

## when try to reverse find back alpha and ...

when try to reverse find back alpha and x from existing equations

x and alpha are very complex

solve({sqrt(2*p)*exp(-p*t) = exp(x)*(x^(-alpha))/0!*exp(-x)*(x^(0+alpha)), sqrt(2*p)*(-2*p*t+1)*exp(-p*t) = exp(x)*(x^(-alpha))/1!*diff(exp(-x)*(x^(1+alpha)), x\$1)},{alpha,x});

i still suspect this rodrigue formula is the source

## https://skydrive.live.com/redir?resid=E0...

https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!293
https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!292

here it is,

once you got it, tell me, i will delete it after you got it.

## https://skydrive.live.com/redir?resid=E0...

https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!293
https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!292

here it is,

once you got it, tell me, i will delete it after you got it.

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