Sometimes the solution to a complicated problem is remarkably simple.

A simple approximation to the sinc function, a function that comes up constantly in signal analysis.

Entropy increases as system states become more uniform and decreases as they become further from uniform.

I saw a post online this morning that recomended the transformation I could see how this could be very handy. Often you want something like a logarithmic scale, not for the exact properties of the…

When you patch two functions together, how smooth does the patch need to be? How do you measure smoothness?

Most numbers that are representable as machine integers are not exactly representable as floating point numbers.

Using Newton's method to soive for the roots of a quadratic equation, there's a sort of

Using optimal transport to weight what matters most In LLM-generated responses

For any x, the behavior of multiples of x mod 1 is easy to classify. The powers of x mod 1 are more interesting. We give examples of different behavior.

How to calculate large powers of 3 + √2 numerically with bc and symbolically with Mathematica. Conjecture regarding the integer and irrational parts.

How frequently do you have to compound interest before compounding it more often makes no difference

A numerical issue causes an incorrect conclusion, implying that compounding interest more often results in less interest. How to fix it.

Financial calculations involve implicit assumptions that go out the window under hyperinflation.

Visualizing matrix transposition, to make sense of transpose-related formulas. The post Understanding Matrices | Part 3: Matrix Transpose appeared first on Towards Data Science. Generated by RSStT.…

Using knowledge graphs to handle the unexpected in semantic communication

Two uses of bracket notation: actuarial symbols related to annuities and an obsolete notation for factorial

Numbers like binomial coefficients satisfy identities like Pascal's triangle.

Present value approximation that implicitly assumes moderate interest rates gives absurd results when applied at high interest rates.

Exploring the elliptic curve used in Monero for digital signatures. Making explicit some things that are often left implicit.

The elliptic curves Ed25519 and Curve25519 are both used in cryptography, and are equivalent in one sense and not in another.