C. D. Chester

This article will detail where to find my online footprint and what to expect on each.

Parler: cdchester

I’ll pry use this instead of Twitter from now on and it’ll probably be mainly […]

I’ve long told people since I was a senior in HS that looking at state polls should really only give a surface-level view of elections, especially something like the presidential election. With the possibility of […]

This past week I spent roughly 10 hours learning LaTeX. I figured if I was actually going to use it to the full extent it should be merited I’d share the PDF’s it makes. So, from now on I will be making […]

Pre-Reflection

First off what even is a treatise? A treatise is a systematic, written argument using methodical discussion(s) of the facts, the principles involved, and the conclusions reached. Just wanted to […]

Over the course of my lifetime I have garnered quite a collection of literature spanning the tedious to the abstract. From discussions on what is existence to specific supreme court cases. I’d say I own roughly […]

begin{align*}& int cos left( ln (x) right) : dx = dfrac{x}{2} left( cos left( ln (x) right) + sin left( ln (x) right) right) + C & &{rm{Proof}}: & & a= ln (x) Longrightarrow int cos […]

begin{align*}& f(x)=sum_{n=0}^{infty} phi(n) dfrac{(-x)^n}{n!} LongrightarrowM left[ f(s) right] = int_0^{infty} x^{s-1}f(x) dx = Gamma(s) phi(-s) & &therefore int_0^ {infty} e^{{-x}^n} sin […]

Prelude

I am taking this test on 10/19/19.

Result:

QnA

If economic globalisation is inevitable, it should primarily serve humanity rather than the interests of trans-national […]

begin{align*}& int_0^1 ln^b{(x)} dx = (-1)^b (b)! & &{rm{Proof}}: & & therefore x=e^u Longrightarrow int_{-infty}^0 u^b e^u du & &therefore u=-g Longrightarrow (-1)^b int_0^{infty} g^b […]

BPRP achieved this result using power series. Today I will solve it using the Bose Integral.

begin{align*}& int_0^1 ln{(x)}ln{(1-x)} dx = 2 – dfrac{pi^2}{6} & &{rm{Proof}}: & &therefore […]

begin{align*}& I(a, b) = int_0^infty dfrac{x^a}{x^b+1} dx =dfrac{beta(dfrac{a+1}{b}, 1-dfrac{a+1}{b})}{b} & &{rm{Proof}}: & &therefore u=x^b Longrightarrow int_0^infty […]

begin{align*}& I(b) = int_0^infty dfrac{e^{-x}-e^{-bx}}{x} dx = ln{(b)}& &{rm{Proof}}: & &I'(b) = int_0^infty e^{-bx} dx = dfrac{1}{b} & &therefore I(b) = ln{(b)} + C & &therefore b=1 […]

BPRP solved this integral using power series back in 2017. Today I will solve it using the Bose Integral.

begin{align*}& int_0^1 dfrac{ln{(x)}}{x-1} dx = dfrac{pi^2}{6} & &Proof: & &therefore u= […]

I want to note that I believe my argument does need some more work, and the finalized version of my argument will be available in both the Hermeneutic Pragmatism PDF I spoke of in my prelude article as well as […]

Hey y’all! Sorry I’ve been less than usual in my site’s upkeep. Military and college got in the way.

Anyways, this post is simply to give the prelude to a series of posts that will concern my philosophy: […]

Many people wish to approximate their strength level through certain exercises. These exercises include the OG bench press, squat, and so on and so forth. Fitness experts over the years have created an assortment […]

In the U.S. Army we run the 2mi and I’ve been interested in estimating times for this off others, just like how I try to estimate 100m, 200m, and 400m times. It took me a long while to find out the majority of […]