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C. D. Chester wrote a new post, Guided Approach to Approximating π 1 year, 8 months 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 […]
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C. D. Chester wrote a new post, Integrals: Royal Properties 1 year, 8 months 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} […]
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C. D. Chester wrote a new post, Estimating Fitness Levels: FFMI Method 1 year, 9 months ago
I recently discovered the Fat Free Mass Index a couple of days ago. I actually have to thank the YouTube Algorithm for suggesting another video series by Vitruvian Physique on distinguishing whether or not […]
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C. D. Chester wrote a new post, How Much Time is Required to Reach a Specific BF%? 1 year, 9 months ago
I’ve long wondered this question so I thought I’d do some research based on past experiences and information given from various fitness outlets. I stumbled upon a good video by Vitruvian Physique that you can see […]
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C. D. Chester wrote a new post, Integral of [1+(x^g)]^(-n) from 0 to ∞ 1 year, 9 months ago
begin{align*}& int_0^infty dfrac{1}{(1+x^g)^n} dx =int_0^infty dfrac{(x)^{gn-2}}{(1+x^g)^n} dx & &therefore x^g = t : , : x = t^{frac{1}{g}} Longrightarrowdx = dfrac{t^{frac{1}{g}-1}}{g} dt & […]
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C. D. Chester wrote a new post, Integral of (1+[x^2])^(-n) from 0 to ∞ 1 year, 9 months ago
begin{align*}& int_0^{infty} dfrac{1}{(1+x^2)^n} dx & & &{rm{Lemma : (1)}}: int_0^{infty} left[ f(x) right] dx = int_0^{infty} left[ dfrac{f(frac{1}{x})}{(x^2)} right] dx & &{rm{Lemma […]
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C. D. Chester wrote a new post, 200m MLR Estimate 1 year, 9 months ago
16 April 2019 Formula (19/718 sampled)
begin{align*}rm{200m} &approx rm{100m} left[ 1.997383 + left( dfrac{7.633557}{rm{60m}} right) right] – 11.1841 pm 0.3 & approxrm{100m} left[ 2 + […]
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C. D. Chester wrote a new post, Reflections: HS and College Requirements 1 year, 9 months ago
Context
I was reading through one of the various eBooks by James Gray (How to Become a Philosopher) and I wanted to see if he had written anything on Philosophy in relation to school requirements. It turns out […]
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C. D. Chester wrote a new post, Why I'd Support A Negative Income Tax (NIT) 1 year, 9 months ago
Let me start off by saying I actually have to thank someone I formerly worked with, Kelly Hernandez. We got into a discussion about UBI, the poor, etc. and from our conversation I discovered this amazing idea. […]
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C. D. Chester wrote a new post, Integral of [a(x^n)+b]/[c(x)+d] 1 year, 9 months ago
begin{align*}I = displaystyle int_alpha^betadfrac{a(x)^n+b}{cx+d} : dx &=displaystyle dfrac{a}{c} int_alpha^betadfrac{(x)^n+ frac{b}{a}}{x+frac{d}{c}} : dx &=displaystyle dfrac{a}{c} […]
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C. D. Chester wrote a new post, Walking / Running Calories Burned Based on MET 1 year, 9 months ago
Walking / Running Calories Burned Based on MET
by C. D. Chester
Using previous data from my article on MET Values to accurately calculate caloric burn (based on weight and other values) I have produced […] -
C. D. Chester wrote a new post, Integral of 1/(x^n+1) from 0 to ∞ 1 year, 9 months ago
begin{aligned} I = int_0^infty dfrac{1}{(x)^n+1} dx = dfrac{pi}{nsin{( frac{pi}{n}} )} end{aligned}
begin{aligned} therefore rho=left[ (x)^n+1 right]^{-1} :;: rho mid_0^1 : […]
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C. D. Chester wrote a new post, Multiplication … But With Sigma Notation? 1 year, 9 months ago
So most people know
begin{aligned} 2 times 2 = 4 end{aligned}
and the basic methods taught to us in school using carries (base 10 system), but what if we introduced some calculus just to be a sadist? […]
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C. D. Chester wrote a new post, Creator Spotlight – Zachary Lee 1 year, 9 months ago
Zachary Lee
“Obsessed with Integrals” https://philosophicalmath.wordpress.com/
Zachary’s site is very straightforward, unlike the majority of my early work. My earliest work concerned primarily finding […] -
C. D. Chester wrote a new post, Integral of 1/[(x^3)+1] from 0 to ∞ 1 year, 9 months ago
I=∫∞01×3+1dx=2π31.5≈1.209199576156145begin{aligned} I=int_0^{infty} frac{1}{x^3+1} ,dx=dfrac{2pi}{3^{1.5}} approx {1.209199576156145} end{aligned}
Partial Fraction Decomposition Method […]
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C. D. Chester wrote a new post, 400m Estimate Using Multiple Linear Regression 1 year, 12 months ago
Context
In 2018 I saw a post:
Predicting 800m Timesby Sam Harding
In it he used Multiple Linear Regression to perform more and more accurate 800m estimations. I had done something similiar in my article […]
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C. D. Chester wrote a new post, 1RM Formulae and its Applications 1 year, 12 months ago
Context
Earlier today I did a small workout using a hexagon bar (deadlift alternative). During it I managed to do 5 x 255 lb. I wondered as I got to my room what I could achieve as my ultimate rep. […]
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C. D. Chester wrote a new post, Swainson et al. (WHtR) Body Fat Calculator 1 year, 12 months ago
After perusing PubMed for awhile I have found various articles/studies on predicting body fat. You can find some here. Anyways, this one comes from one published May 11th, 2017. It was a joint study between […]
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C. D. Chester wrote a new post, Heller Institute of Medical Research Body Fat Calculator 1 year, 12 months ago
(function() { var qs,j,q,s,d=document, gi=d.getElementById,
ce=d.createElement, gt=d.getElementsByTagName,
id=”calconic_”, b=”https://storage.googleapis.com/calconic-cdn/static/js/”; […] -
C. D. Chester wrote a new post, NSCA's Macronutrient Training Guidelines 1 year, 12 months ago
Daily Nutrient Recommendations
Macronutrientg / kg / dayProtein1.2 – 2Carbohydrate(general training)5 – 7Carbohydrate(athlete training)7 – 10FatThe rest of the calories. Minimum 1g / kg and 15% of […]
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