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Composable transformations of Python+NumPy programs
...But JAX also lets you just-in-time compile your own Python functions into XLA-optimized kernels using a one-function API, jit. Compilation and automatic differentiation can be composed arbitrarily, so you can express sophisticated algorithms and get maximal performance without leaving Python.
Shape-Safe Symbolic Differentiation with Algebraic Data Types
Kotlin∇ is a type-safe automatic differentiation framework written in Kotlin. It allows users to express differentiable programs with higher-dimensional data structures and operators. We attempt to restrict syntactically valid constructions to those which are algebraically valid and can be checked at compile-time. By enforcing these constraints in the type system, it eliminates certain classes of runtime errors that may occur during the execution of a differentiable program.
...Like this:
18-64-c*d=4
18-64-4=c*d
c*d=-50
Then the student could pick any two numbers with product of -50, like c=-25 and d=2.
Another approach would be to pick any number for c, then express d in terms of that number. For example, if the student arbitrarily chose c=13 then:
18-64-c*d=4
18-64-13*d=4
d=(4-18+64)/(-13)
A new floating-point arithmetic which has uncertainty-tracking and undertainty-bounding capability, and algorithms to test this arithmetic. The code is in C++ (Visual Studio Express 2008)
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This program is an equation solver 2nd degree. Written entirely with Visual Basic Express 2010. Addresses three types of equations the well, the spurious, and the complete.
Why is it quicker to express simple equations in plaintext that it is to write the equivalent LaTeX? Easylatex is a preprocessor to make writing LaTeX much quicker. Project activity mode (http://bayleshanks.com/pamv1 ): sporadic
Let P be a 2D point expressed in a plane area defined by four 2D points A,B,C,D. The aim of our C++ class is to express the coordinates of P in order to match when A,B,C,D is rectified as a rectangle. A demo application shows the use of the C++ class.
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