"Even though I had my child advance to high school math (Math I/Math II) through Kumon while in elementary school, they can't ...

Recall that an indefinite integral (or antiderivative) is so called as it provides a family of solutions with a constant term. It is called indefinite as the constant \(c\) can take any real value, ...

Aligning and integrating different datasets is a key challenge in single-cell research. However, existing methods suffer from several fundamental and under-appreciated limitations. First, we do not ...

Before we get into too much discussion, let’s look at a Hyperscript example that communicates the spirit of the thing: In English, it says: “When the div element is loaded, send an async request to ...

PowerSeries.jl defines Series types that represent truncated power series by their coefficients. You can do arithmetic on Series and apply functions to series just as you would Real or Complex numbers ...

Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...

$\bullet$ Random analytic functions and random polynomials. $\bullet$ Stochastic, convex and integral geometry. $\bullet$ Random trees, branching random walks. $\bullet$ Analysis of algorithms and ...

Measuring the degree of causal influences among multiple elements of a system is a fundamental problem in physics and biology. We propose a unified framework for quantifying any combination of causal ...

Previous set of notes: Notes 1. Next set of notes: Notes 3. Having discussed differentiation of complex mappings in the preceding notes, we now turn to the integration of complex maps. We first ...