Finite Difference Boundary Conditions
Differential geometry is all about constructing things which are independent of the representation
Metacademy - Differential geometry for machine learning
3.3 Approximate Solutions and Bisection Search
John Guttag • Introduction to Computation and Programming Using Python, second edition: With Application to Understanding Data
If p is a polynomial and r a real number, we will write p(r) to stand for the value of the polynomial when x = r. A root of the polynomial p is a solution to the equation p = 0, i.e., an r such that p(r) = 0. So, for example, the problem of finding an approximation to the square root of 24 can be formulated as finding an x such that x2 − 24 ≈ 0.
John Guttag • Introduction to Computation and Programming Using Python, second edition: With Application to Understanding Data
Deep learning tries to fudge this, with a bunch of vectors that capture a little bit of what’s going on, in a rough sort of way, but that never directly represent propositions at all.
Ernest Davis • Rebooting AI: Building Artificial Intelligence We Can Trust
3 SOME SIMPLE NUMERICAL PROGRAMS