The Natural Logarithm Rules
The 4 rules of ln
1. ln(ab) = ln(a) + ln(b)
2. ln(a/b) = ln(a) – ln(b)
3. ln(1/x) = -ln(x)
4. ln(a^b)=b ln(a)
The Art of Argumentation-Making: Statistics as Modern Rhetoric
The process of statistical measurement is used to make precise the evaluation of a claim relies upon our assumptions about the sampling measurement process and the empirical phenomena measured. The independence of the sampling measurements leads to the...
Continuous Democracy System
The future of participatory direct democracy, as advocated by Bernie Sander, lies in information systems of coordination that allow deep public opinion to be integrated within a whole reflexive administrative state. The ideal of a fully adaptive and sensitive...
The Bias of 1-D Opinion Polling: Explaining the Low Polling Numbers for Candidate Beto O’Rourke
In Electoral Opinion Sampling, whether of candidates, policies, or values, it is commonplace to ask subjects yes/no questions, where someone either choses one person out of a list of candidates or says whether or not he or she agrees or disagrees with a political...
Quantum Computing Democracy
Consider the binary computer. All bits have one of two states either 0 or 1, symbolic for 'off' and 'on' with reference to a circuit as symbolic of a 'fact of the world' propositionally, A is true or false. In a quantum computer, the states may be occupied in...
The Bias of Underreporting in Experimental Design: Ranked-Choice Voting & The Case of the Latino Vote
The ‘hidden 2nd-place bias’ from my previous blog post <a href=“blog 1”> is due to a bias in the question-asking of political candidate polling, neglecting a necessary ambiguity in the answer when it can’t be precisely known. This ambiguity is essential to the...
Navier-Stokes is hard?
Navier-Stokes is hard? Author: James Lowman I was recently asked the question; "How can the Navier-Stokes equations both describe our observable world and not be known to always have solutions in 3D?" For those that don't know, the Navier-Stokes (NS) equations...
The Quadratic Equation
The Quadratic Equation Author: James Lowman The quadratic equation is always the answer. Time and time again, while tutoring students, I encounter a resistance to using an unfailing tool called the quadratic equation. This simple algebraic...
Cardinality and Countably Infinite Sets
Cardinality is a term used to describe the size of sets. Set A has the same cardinality as set B if a bijection exists between the two sets. We write this as |A| = |B|. One important type of cardinality is called “countably infinite.”
Cryptography: How the Internet We Love Almost Never Existed
Resources -The internet we love almost never existed.