Cryptosystems like Rivest–Shamir–Adleman (RSA) use large primes to construct public/private key pairs. The security of RSA relies on the fact that, in general, it is computationally expensive to identify the prime factors of a number. But if it is so hard to find prime factors, how can it be easy…
Source: Next Step in Government Data Tracking Is the Internet of Things. (2020, November 28). Wall Street Journal
The US Air Force awarded a $50,000 grant to commercial platform SignalFrame, a Washington DC based wireless technology company. SignalFrame uses cellphone data to tap into any peripheral devices connected to the…
a beginner’s primer on vectors, dot products, and linear independence
If you don’t have much training in linear algebra it’s hard crack open a textbook and identify the most important concepts. You can get lost in all the examples. …
A beginners guide to unpacking and customizing the elements of a D3 axis
We will make a horizontal axis and customize it in different ways using D3 methods and CSS selections. First I’ll show you how to render a basic horizontal axis from a linear scale. Then we will learn…
Boost your intuition for matrix multiplication from the ground up
When I first learned about matrix multiplication I was surprised by how hard it was for me to develop intuition about the operation. The usual definition of matrix multiplication hides a lot of interesting facts that are easier to recognize…
From basic concepts to not so basic concepts
Linear regression is the first step to understanding machine learning. We start our exploration into linear regression by considering simplest possible situation — linear functions.
New York University (NYU), like most schools, charges its part-time students by credit-hour. …
Outcomes, sample spaces, and events
In part 1 we considered some examples of random experiments and sketched some probability concepts that we will cover more thoroughly later. In particular we decided that the probability of tossing heads in one flip of a coin should be 1/2. This was easy because…
A few examples to start with
Probability theory is the among the most fascinating subjects you can study. It comes with an enormous variety of fascinating concrete examples and challenging problems. But if you crack open any graduate-level textbook on probability you will notice that mathematicians and statisticians use on…
