Esempi in Python per Module

Esempio n. 1

File: armbruster.py Progetto: Eeeeddddy/gittest

#
# jython examples for jas.

from jas import Module
from jas import SubModule

# Armbruster module example

r = Module( "Rat(u,v,l) L" );
print "Module: " + str(r);
print;


ps = """
(
(     ( 1 ),         ( 2 ),       ( 0 ),       ( l^2 ) ),
(     ( 0 ),   ( l + 3 v ),       ( 0 ),         ( u ) ),
(     ( 1 ),         ( 0 ),       ( 0 ),       ( l^2 ) ),
( ( l + v ),         ( 0 ),       ( 0 ),         ( u ) ),
(   ( l^2 ),         ( 0 ),       ( 0 ),         ( v ) ),
(     ( u ),         ( 0 ),       ( 0 ), ( v l + v^2 ) ),
(     ( 1 ),         ( 0 ), ( l + 3 v ),         ( 0 ) ),
(   ( l^2 ),         ( 0 ),     ( 2 u ),         ( v ) ),
(     ( 0 ),         ( 1 ),   ( l + v ),         ( 0 ) ),
(     ( 0 ),       ( l^2 ),       ( u ),         ( 0 ) ),
(     ( 0 ),         ( v ),   ( u l^2 ),         ( 0 ) ),
(     ( 0 ), ( v l + v^2 ),     ( u^2 ),         ( 0 ) )
) 
""";

f = SubModule( r, ps );

Esempio n. 2

print "s9  = " + str(s9);
s10 = s9 - s7;
print "s10 = " + str(s10);
print;


print "------- SubModule(PolyRing(QQ(),\"u, v, l\",PolyRing.lex) ---------";
p = PolyRing(QQ(),"u, v, l",PolyRing.lex);
print "p = " + str(p);
[one,u,v,l] = p.gens();
print "one = " + str(one);
print "u   = " + str(u);
print "v   = " + str(v);
print "l   = " + str(l);

m = Module(ring=p,cols=4);
print "m = " + str(m);
for g in m.gens():
    print "g =", str(g);

m1  = ( 0, 1, l + v, 0 )
m2  = ( 0, v, u * l**2, 0 )
m3  = ( 0, l + 3 * v, 0, u )
m4  = ( 0, v * l + v**2, u**2, 0 )
m5  = ( 0, l**2, u, 0 )
m6  = ( 1, 0, 0, l**2 )
m7  = ( 1, 0, l + 3 * v, 0 )
m8  = ( 1, 2, 0, l**2 )
m9  = ( u, 0, 0, v * l + v**2 )
m10 = ( l + v, 0, 0, u )
m11 = ( l**2, 0, 0, v )

Esempio n. 3

#
# jython examples for jas.

from jas import PolyRing, QQ, Module
#, SubModule

# module example

p = PolyRing(QQ(),"u,v,l", PolyRing.lex);
#r = Module( "Rat(u,v,l) L", cols=4 );
r = Module( "", p, cols=4 );
print "Module: " + str(r);
print;

G = r.gens();
print "gens() = ", [str(e) for e in G];

L = [ e.elem.val for e in G ]
print "gens() = ", [str(e) for e in L];

M = r.submodul( list=L );
print "M = ", M;

P = M.mset.getPolynomialList();
print "P = ", P.toScript();

print "M.isGB(): ", M.isGB();

Esempio n. 4

File: all_rings.py Progetto: siwiwit/java-algebra-system

print "s9  = " + str(s9);
s10 = s9 - s7;
print "s10 = " + str(s10);
print;


print "------- SubModule(PolyRing(QQ(),\"u, v, l\",PolyRing.lex) ---------";
p = PolyRing(QQ(),"u, v, l",PolyRing.lex);
print "p = " + str(p);
[one,u,v,l] = p.gens();
print "one = " + str(one);
print "u   = " + str(u);
print "v   = " + str(v);
print "l   = " + str(l);

m = Module(ring=p,cols=4);
print "m = " + str(m);
for g in m.gens():
    print "g =", str(g);

m1  = ( 0, 1, l + v, 0 )
m2  = ( 0, v, u * l**2, 0 )
m3  = ( 0, l + 3 * v, 0, u )
m4  = ( 0, v * l + v**2, u**2, 0 )
m5  = ( 0, l**2, u, 0 )
m6  = ( 1, 0, 0, l**2 )
m7  = ( 1, 0, l + 3 * v, 0 )
m8  = ( 1, 2, 0, l**2 )
m9  = ( u, 0, 0, v * l + v**2 )
m10 = ( l + v, 0, 0, u )
m11 = ( l**2, 0, 0, v )

Esempio n. 5

File: module.py Progetto: siwiwit/java-algebra-system

#
# jython examples for jas.

from jas import PolyRing, QQ, Module

# , SubModule

# module example

p = PolyRing(QQ(), "u,v,l", PolyRing.lex)
# r = Module( "Rat(u,v,l) L", cols=4 );
r = Module("", p, cols=4)
print "Module: " + str(r)
print

G = r.gens()
print "gens() = ", [str(e) for e in G]

L = [e.elem.val for e in G]
print "gens() = ", [str(e) for e in L]

M = r.submodul(list=L)
print "M = ", M

P = M.mset.getPolynomialList()
print "P = ", P.toScript()

print "M.isGB(): ", M.isGB()