-
C. D. Chester wrote a new post, Life Has Intrinsic Value: A Graphic Proposition 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, The Rubin Report: Liberal or Not? 1 month ago
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 […]
-
C. D. Chester wrote a new post, Integral of cos(ln(x)) dx: A Third Method Via Euler's Identity 1 month, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Ramanujan's Beautiful Master Formula: Integral From 0 to ∞ (e)^(-x^n)sin(x^n) dx 1 month, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Political Opinions: My Honest Answers 1 month, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Integral from 0 to 1 (ln(1/x))^b dx 1 month, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Integral from 0 to 1 ln(x)ln(1-x) dx 1 month, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Integral from 0 to ∞ [x^a/(x^b+1)] dx 1 month, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Feynman's Trick: Integral from 0 to ∞ [(e^(-x)-e^(-bx))/x] dx 1 month, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Integral from 0 to 1 [ln(x)/(x-1)] dx 1 month, 2 weeks ago
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= […]
-
C. D. Chester wrote a new post, Statistical Optimism: Investing For The Long Haul 3 months, 1 week ago
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 […]
-
C. D. Chester wrote a new post, Everyone Can Be Racist: A Response to Sociological Alternatives 3 months, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Hermeneutic Pragmatism: The Prelude 3 months, 2 weeks ago
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: […]
-
C. D. Chester commented on the post, Response to Kyle Osborne's "What I Learned From Watching Ben Shapiro for a Week" 4 months, 2 weeks ago
He replied saying he had no intention to do so. He simply just wanted to get out his thoughts. I find this rather stupid to do on a topic like this but oh well it’s his choice.
-
C. D. Chester commented on the post, Daniel's Running Model 4 months, 4 weeks ago
Hello I actually did deduce that problem you spoke of. I should’ve noted that your SPD used the RF specifically. My fault! Anyways I did find that problem you spoke of. IMO it’s not very deep math, it’s just that […]
-
C. D. Chester wrote a new post, Male Strength Standards in Specific Exercises 5 months ago
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 […]
-
C. D. Chester wrote a new post, Daniel's Running Model 5 months, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Guided Approach to Approximating π 7 months, 2 weeks ago
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 […]
-
C. D. Chester wrote a new post, Integrals: Royal Properties 7 months, 2 weeks ago
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} […]
- Load More