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C. D. Chester wrote a new post, Social Media Links 2 months, 3 weeks ago
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 […]
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C. D. Chester wrote a new post, Looking at the 2020 Election Polls: Why I Don't Trust Them 2 months, 3 weeks ago
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 […]
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C. D. Chester wrote a new post, Upgrading to LaTeX For Mathematical Posts 9 months, 3 weeks ago
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 […]
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C. D. Chester wrote a new post, Hume: The Essential Philosophical Works | Part II – A Treatise of Human Nature | Book 1 – Of Understanding | Part 1 – Of Ideas, Their Origin, Composition, Connexion, Abstraction, etc. | Section 1 – Of the Origin of Our Ideas | pp. 9 – 14 10 months, 1 week ago
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 […]
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C. D. Chester wrote a new post, Hume: The Essential Philosophical Works | Part I – Prologue 10 months, 2 weeks ago
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 […]
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C. D. Chester wrote a new post, Integral of cos(ln(x)) dx: A Third Method Via Euler's Identity 1 year, 3 months 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 […]
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C. D. Chester wrote a new post, Ramanujan's Beautiful Master Formula: Integral From 0 to ∞ (e)^(-x^n)sin(x^n) dx 1 year, 3 months 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 […]
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C. D. Chester wrote a new post, Political Opinions: My Honest Answers 1 year, 3 months 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 […]
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C. D. Chester wrote a new post, Integral from 0 to 1 (ln(1/x))^b dx 1 year, 3 months 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 […]
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C. D. Chester wrote a new post, Integral from 0 to 1 ln(x)ln(1-x) dx 1 year, 3 months 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 […]
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C. D. Chester wrote a new post, Integral from 0 to ∞ [x^a/(x^b+1)] dx 1 year, 3 months 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 […]
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C. D. Chester wrote a new post, Feynman's Trick: Integral from 0 to ∞ [(e^(-x)-e^(-bx))/x] dx 1 year, 3 months 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 […]
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C. D. Chester wrote a new post, Integral from 0 to 1 [ln(x)/(x-1)] dx 1 year, 3 months 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= […]
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C. D. Chester wrote a new post, Everyone Can Be Racist: A Response to Sociological Alternatives 1 year, 5 months 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 […]
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C. D. Chester wrote a new post, Hermeneutic Pragmatism: The Prelude 1 year, 5 months 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: […]
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C. D. Chester commented on the post, Response to Kyle Osborne's "What I Learned From Watching Ben Shapiro for a Week" 1 year, 6 months 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.
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C. D. Chester commented on the post, Daniel's Running Model 1 year, 6 months 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 […]
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C. D. Chester wrote a new post, Male Strength Standards in Specific Exercises 1 year, 6 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 […]
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C. D. Chester wrote a new post, Daniel's Running Model 1 year, 7 months 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 […]
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