@Markiyan Hirnyk 

could you show me example ?

for a simple example, y= x+1, input random number x, genreate output y

i would like to generate a table of data like this for electromagnetism equations, but it has so many variables, i do not know starting from which variables.

and i do not have experimental data about this, feeling difficult

@Rouben Rostamian  

thanks, after copy the first x, i forget to change y and z

@Kitonum 

how can you generalize this into permutation form?

any extra tools to help ?

i can not think with my eye

@rit 

when there is not enough zeros, it need to pad zeros, 

how bits package do?

c# code

public static String Maoperation(int value1, int value2)
{
String result = "";
String shortvalue;
if(DecimalToArbitrarySystem(value1, 2).ToString().Length > DecimalToArbitrarySystem(value2, 2).ToString().Length)
{
shortvalue = DecimalToArbitrarySystem(value2, 2).ToString();
String zerostring = "";
for (int i = 0; i < DecimalToArbitrarySystem(value1, 2).ToString().Length - DecimalToArbitrarySystem(value2, 2).ToString().Length; ++i)
{
zerostring = zerostring + "0";
}
string value2string = zerostring + shortvalue;
for (int i = DecimalToArbitrarySystem(value1, 2).ToString().Length; i >= 1; --i)
{
if (Right(DecimalToArbitrarySystem(value1, 2).ToString(), i)[0] == '0' && Right(value2string, i)[0] == '0')
{
result = result + "1";
}
if (Right(DecimalToArbitrarySystem(value1, 2).ToString(), i)[0] == '0' && Right(value2string, i)[0] == '1')
{
result = result + "0";
}
if (Right(DecimalToArbitrarySystem(value1, 2).ToString(), i)[0] == '1' && Right(value2string, i)[0] == '0')
{
result = result + "1";
}
if (Right(DecimalToArbitrarySystem(value1, 2).ToString(), i)[0] == '1' && Right(value2string, i)[0] == '1')
{
result = result + "0";
}
}
}

@Carl Love 

there are not only 16 possible operations on 2 variables

since

other baes such as base 4 has 12 outputs, can bits package do this?

@Markiyan Hirnyk 

i can not google enough information or no books give clear information so this is an empty talk.

Bye.

@Markiyan Hirnyk 

in book local algebra page 92 by Jean

monomials using symmetric function

how they relate with poincare series in maple?

i change poincare series into taylor series is just a one variable polynomials

but symmetric function can have multiple variables

how to go from poincare series to symmetric function?

how to go from symmetric function to poincare series?

@roman_pearce 

it is example 3.6.1 in page 153 of an introduction to grobner bases by william W. adams.

could you demonstrate how to calculate this example above in maple?

@Markiyan Hirnyk 

it is example 3.6.1 in page 153 of an introduction to grobner bases by william W. adams.

how to calculate in maple

@Markiyan Hirnyk 

actually i am using with algorithm in page 145 as well

it need to calculate LeadingMonomial first

the example is calculating with the algorithm above the question

which using TOP

but i do not know how to do TOP for leading monomial

@Markiyan Hirnyk 

you already find it , it is example 3.5.11 which is at the bottom of the page in your  screen_28.11.2014.docx

or you can search and download in bookos-z1.org

P.S.: it is real and reality and i believe maple can do this

@Markiyan Hirnyk 

page 145 

http://www.ams.org/bookstore-getitem/item=GSM-3

@Markiyan Hirnyk 

it is just a variable M to express a module.

the example in help file is to calculate a ideal , however it is not an example of a module which have a matrix of polynomials.

can maple do for module case?

@Markiyan Hirnyk 

i am implementing the algorithm in page 145 of book an introduction to groebner bases 

with the example for verification.

this is the standard result for TOP before implement groebner bases for modules

how to do?

@ecterrab 

do we need to see polynomials system of 3 variables as a parametric form

so that we need to change parametric form back to one function in terms of 3 variables

how about next step to calculate RicciTensor?

where can input this function or polynomial system?