# orx-math

Mathematical utilities
<!-- __demos__ -->
## Demos
### linearrange/DemoLinearRange02



![linearrange-DemoLinearRange02Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-math/images/linearrange-DemoLinearRange02Kt.png)

[source code](src/jvmDemo/kotlin/linearrange/DemoLinearRange02.kt)

### linearrange/DemoLinearRange03



![linearrange-DemoLinearRange03Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-math/images/linearrange-DemoLinearRange03Kt.png)

[source code](src/jvmDemo/kotlin/linearrange/DemoLinearRange03.kt)

### matrix/DemoLeastSquares01

Demonstrate least squares method to find a regression line through noisy points
Line drawn in red is the estimated line, in green is the ground-truth line

Ax = b => x = A⁻¹b
because A is likely inconsistent, we look for an approximate x based on AᵀA, which is consistent.
x̂ = (AᵀA)⁻¹ Aᵀb

![matrix-DemoLeastSquares01Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-math/images/matrix-DemoLeastSquares01Kt.png)

[source code](src/jvmDemo/kotlin/matrix/DemoLeastSquares01.kt)

### matrix/DemoLeastSquares02

Demonstrate least squares method to fit a cubic bezier to noisy points

![matrix-DemoLeastSquares02Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-math/images/matrix-DemoLeastSquares02Kt.png)

[source code](src/jvmDemo/kotlin/matrix/DemoLeastSquares02.kt)

### rbf/RbfInterpolation01



![rbf-RbfInterpolation01Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-math/images/rbf-RbfInterpolation01Kt.png)

[source code](src/jvmDemo/kotlin/rbf/RbfInterpolation01.kt)

### rbf/RbfInterpolation02



![rbf-RbfInterpolation02Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-math/images/rbf-RbfInterpolation02Kt.png)

[source code](src/jvmDemo/kotlin/rbf/RbfInterpolation02.kt)

### simplexrange/DemoSimplexRange3D01



![simplexrange-DemoSimplexRange3D01Kt](https://raw.githubusercontent.com/openrndr/orx/media/orx-math/images/simplexrange-DemoSimplexRange3D01Kt.png)

[source code](src/jvmDemo/kotlin/simplexrange/DemoSimplexRange3D01.kt)