fizyk20 / differential-geometry Goto Github PK
View Code? Open in Web Editor NEWA Rust crate for differential-geometric calculations.
License: MIT License
A Rust crate for differential-geometric calculations.
License: MIT License
Current documentation is very basic, so it would be a good idea to develop it a bit before releasing the crate.
Currently the only way of using a tensor requires knowing the coordinate system it is defined in statically. This may not always be possible.
Let's say I want to calculate a geodesic in a space partially described with one coordinate system, and partially with another. The current position and tangent vector might then be defined in each of the systems and the object containing them shouldn't have to worry about that - it should just know a point and a vector, period.
The solution will be a trait (or traits) implementing operations on tensors and points, providing an interface that doesn't depend on the coordinate system.
inverse()
- calculation of the inverse matrixtranspose()
- calculation of the transposed matrixidentity()
- returning the identity matrixAny other ideas?
The plan is to implement Metric
trait for coordinate systems with the following methods:
metric(Point)
inv_metric(Point)
christoffel(Point)
This will provide the basis on which it will be possible to implement covariant derivatives.
That will complete the ConversionTo trait. Requires Matrix::inverse()
.
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.