aekul / aether Goto Github PK
View Code? Open in Web Editor NEWHome Page: https://aekul.github.io/aetherlang
License: MIT License
Home Page: https://aekul.github.io/aetherlang
License: MIT License
aether::variable<0> u0;
aether::variable<1> u1;
auto r = sqrt(aether::one - sq(u0));
auto phi = two * get_pi() * u1;
auto x = r * cos(phi);
auto x_jac = aether::jacobian(x);
auto x_det = abs(rcp(make_expr(determinant_tag, x_jac)));
How to simplify x_det
which should be 0
?
aether::variable<0> u0;
aether::variable<1> u1;
auto r = sqrt(aether::one - sq(u0));
auto phi = two * get_pi() * u1;
auto x = r * cos(phi);
auto y = r * sin(phi);
auto z = u0;
auto dir = make_vector_expr(x, y, z);
auto dir_jac = aether::jacobian(dir);
auto dir_det = abs(rcp(make_expr(determinant_tag, dir_jac)));
How to simplify dir_det
which should be 1/(2pi)
?
aether::variable<0> u0;
aether::variable<1> u1;
auto r = sqrt(aether::one - sq(u0));
auto phi = two * get_pi() * u1;
auto x = r * cos(phi);
auto x_jac = aether::jacobian(x); // OK
// auto x_det = aether::det(x); // Error
auto x_det = abs(rcp(make_expr(determinant_tag, x_jac))); // OK
Lines 391 to 394 in 6703980
A declarative, efficient, and flexible JavaScript library for building user interfaces.
๐ Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.
TypeScript is a superset of JavaScript that compiles to clean JavaScript output.
An Open Source Machine Learning Framework for Everyone
The Web framework for perfectionists with deadlines.
A PHP framework for web artisans
Bring data to life with SVG, Canvas and HTML. ๐๐๐
JavaScript (JS) is a lightweight interpreted programming language with first-class functions.
Some thing interesting about web. New door for the world.
A server is a program made to process requests and deliver data to clients.
Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.
Some thing interesting about visualization, use data art
Some thing interesting about game, make everyone happy.
We are working to build community through open source technology. NB: members must have two-factor auth.
Open source projects and samples from Microsoft.
Google โค๏ธ Open Source for everyone.
Alibaba Open Source for everyone
Data-Driven Documents codes.
China tencent open source team.