In the following example I would like to make Sage realize that (p,q,r)
are constants and (a,b) are variables
so in the end everything should be expressed as a polynomial in a,b. In
particular b^2 should be rewritten as 1-a^2
(b and a are actually sin and cosine of something) but b should
Dear friends - I have a quotient which I need to differentiate and show the
differential is always positive for unknown H>0. We have 7 unknown
constants all known to be positive and less than 1 except for A which may
be any positive value. In Sage Cell Server I did this
I am having difficulty in simplifying certain symbolc expressions in
Sage. As I do not have much experience with this side of Sage it is
possible that there are some tricks I am missing. Here are two
examples:
1. It is a fact that if a^2+b^2=1 then arcsin(a)+arcsin(b)=pi/2, but
how can I get
Hello,
I want to work with multivariate polynomials over a multivariate polynomial
ring (see below for the reason I want to do this).
K.a,b=PolynomialRing(QQ, 2, order='lex')
QM.X,Y,Z = PolynomialRing(K, 3, order='lex')
However, I have problems when I want to simplify. Consider for example,
On Feb 18, 2013, at 1:47 PM, Emmanuel wrote:
Hello,
I want to work with multivariate polynomials over a multivariate polynomial
ring (see below for the reason I want to do this).
K.a,b=PolynomialRing(QQ, 2, order='lex')
QM.X,Y,Z = PolynomialRing(K, 3, order='lex')
However, I have
Hello sage-support,
I'm a Sage newbie who just joined the group. Before I get to the meat
of my post, I'd like to thank the open source math software community
for all of your hard work! Nothing I say should be misinterpreted as
a complaint. I have only admiration and gratitude.
I ran into an
sage: version()
'Sage Version 4.4.3, Release Date: 2010-06-04'
sage: f=e^(i*x*pi-i*2*pi)
sage: f.simplify_full()
e^(I*pi*x)
# So far, so good
sage: n=var('n')
sage: f=e^(i*x*pi*n-i*2*pi*n)
sage: f.simplify_full()
e^(I*pi*n*x - 2*I*pi*n)
# Is there a way I can get this to simplify?
sage:
Dumb basic CAS question that's been driving me batty...
x = var('x');
k = var('k');
j = var('j');
t = function('t',j);
B = function('B', j, k, x);
eqn1 = B(j,k,x) == (x-t(j)) / (t(j+k) - t(j))*B(j,k-1,x) + (t(j+k
+1)-x) / (t(j+k+1)-t(j+1))*B(j+1,k-1,x);
eqn2 = eqn1*k/(x-t(j));
What sequence
Hello
x,y=var('x,y')
s = x*y2 + x*(-y2 - x2 + 1) + x3 - x
print simplify(s)
Answer :
2 22 3
x y + x (- y - x + 1) + x - x
+
I'm quite disappointed that
Hi,
Is there a specific way to add rules (and apply them) to rewrite
expressions in Sage?
Such as, log(a)-log(b) = log(a/b)
I need this (and others) in order to properly compare the integration
results from Sage to the list of integrals I have. I'm trying to put
together a suite of integration
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