C. D. Chester

A little over a month ago I was pressed to prove or justify why I believed life has intrinsic value (valuable in itself, for its own sake). With this article I will propose a counter to the notion given that life […]

I’m writing this article actually rather late in comparison to the story, but oh well! So WHAT IS THE STORY … Dave Rubin and his show the Rubin Report are suddenly a conservative show/podcast and that he is now […]

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= […]

After seeing the numerous ads for Robinhood and Acorns I thought I’d give it some thought … so yes good marketing on their part! That’s something quite rare IMO. In the end I wound up using Acorns and NOT […]

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 […]

Start with the equation:

begin{align*} &f(x) = dfrac{1}{1+x^2}end{align*}

Integrating with respect to x from 0 to 1 yields 0.25π. What makes this a guided approach is that this integration range can be […]

begin{align*}& {rm{Given}}:int_0^infty f(x) dx & &(1) : rm{Queen : Property} & &therefore u=(x)^{-1} Longrightarrowint_0^infty f[(x)^{-1}] (x)^{-2} dx & &(2) : rm{Jacksonian : Property} […]