Posts

2019-05-16: Glow worms return

2019-04-11: Original memetic sin

2019-01-31: The theory of weight

2018-11-06: Origins of telephone network theory

2018-10-24: Modern thought

2018-09-10: Feeding a controversy

2018-06-11: Glow worm distribution

2018-04-23: Outlawing risk

2017-08-22: A rebuttal on the beauty in applying math

2017-04-22: Free googles book library

2016-11-02: In search of Theodore von Karman

2016-09-25: Amath Timeline

2016-02-24: Math errors and risk reporting

2016-02-20: Apple VS FBI

2016-02-19: More Zika may be better than less

2016-02-17: Dependent Non-Commuting Random Variable Systems

2016-01-14: Life at the multifurcation

2015-09-28: AI ain't that smart

2015-06-24: MathEpi citation tree

2015-03-31: Too much STEM is bad

2015-03-24: Dawn of the CRISPR age

2015-02-12: A Comment on How Biased Dispersal can Preclude Competitive Exclusion

2015-02-09: Hamilton's selfish-herd paradox

2015-02-08: Risks and values of microparasite research

2014-11-10: Vaccine mandates and bioethics

2014-10-18: Ebola, travel, president

2014-10-17: Ebola comments

2014-10-12: Ebola numbers

2014-09-23: More stochastic than?

2014-08-17: Feynman's missing method for third-orders?

2014-07-31: CIA spies even on congress

2014-07-16: Rehm on vaccines

2014-06-21: Kurtosis, 4th order diffusion, and wave speed

2014-06-20: Random dispersal speeds invasions

2014-05-06: Preservation of information asymetry in Academia

2014-04-16: Dual numbers are really just calculus infinitessimals

2014-04-14: More on fairer markets

2014-03-18: It's a mad mad mad mad prisoner's dilemma

2014-03-05: Integration techniques: Fourier--Laplace Commutation

2014-02-25: Fiber-bundles for root-polishing in two dimensions

2014-02-17: Is life a simulation or a dream?

2014-01-30: PSU should be infosocialist

2014-01-12: The dark house of math

2014-01-11: Inconsistencies hinder pylab adoption

2013-12-24: Cuvier and the birth of extinction

2013-12-17: Risk Resonance

2013-12-15: The cult of the Levy flight

2013-12-09: 2013 Flu Shots at PSU

2013-12-02: Amazon sucker-punches 60 minutes

2013-11-26: Zombies are REAL, Dr. Tyson!

2013-11-22: Crying wolf over synthetic biology?

2013-11-21: Tilting Drake's Equation

2013-11-18: Why $1^\infty != 1$

2013-11-15: Adobe leaks of PSU data + NSA success accounting

2013-11-14: 60 Minutes misreport on Benghazi

2013-11-11: Making fairer trading markets

2013-11-10: L'Hopital's Rule for Multidimensional Systems

2013-11-09: Using infinitessimals in vector calculus

2013-11-08: Functional Calculus

2013-11-03: Elementary mathematical theory of the health poverty trap

2013-11-02: Proof of the circle area formula using elementary methods

Origins of telephone network theory

In the course of researching the history of applied mathematics in the US, one of the problems I came across was the problem of telephone network design. Phone calls couldn't be predicted reliably, and where one of the first industrial applications of probability theory. Below is a citation network of the early theoretical work on the subject, color-coded with yellow nodes for the USA, cyan for the UK, and red for Denmark. Gray nodes are review articles, rather than original research.

Telephone connection modelling citation network Grinsted1907 Grinsted,1907 Grinsted1915 Grinsted,1915 Grinsted1907->Grinsted1915 Molina1907 Molina,1907 Molina1913 Molina,1913 Molina1907->Molina1913 Wilkinson1956 Wilkinson,1956 Molina1907->Wilkinson1956 1907 1907 1908 1908 Flood2002 Flood,2002 2002 2002 2010 2010 1918 1918 1920 1920 Erlang1918 Erlang,1918 Grinsted1918 Grinsted,1918 Erlang1918->Grinsted1918 Erlang1918->Wilkinson1956 Bojkovic2010 Bojkovic,2010 Erlang1918->Bojkovic2010 ODell1920 ODell,1920 Erlang1918->ODell1920 Grinsted1918->ODell1920 Engset1918 Engset,1918 Engset1918->Erlang1918 Kosten1957 Kosten,1957 Engset1918->Kosten1957 Engset1918->ODell1920 1922 1922 1924 1924 Molina1922 Molina,1922 Molina1922->Flood2002 ODell1927 ODell,1927 Molina1922->ODell1927 Molina1924 Molina,1924 Molina1922->Molina1924 Blood1898 Blood,1898 Blood1898->Molina1922 Rorty1903 Rorty,1903 Blood1898->Rorty1903 1898 1898 1903 1903 Molina1925 Molina,1925 Molina1927 Molina,1927 Molina1925->Molina1927 1925 1925 1927 1927 Johannsen1911 Johannsen,1911 Johannsen1911->Erlang1918 Johannsen1911->ODell1920 1911 1911 1913 1913 Molina1913->Molina1922 Molina1913->ODell1920 1914 1914 Erlang1917 Erlang,1917 Erlang1917->Erlang1918 Erlang1917->Kosten1957 1917 1917 Molina1927->Kosten1957 ODell1927->Wilkinson1956 1956 1956 1905 1905 Rorty1905 Rorty,1905 Rorty1903->Grinsted1907 Rorty1903->Molina1907 Rorty1903->Rorty1905 Wilkinson1956->Flood2002 1957 1957 Molina1924->Molina1925 1910 1910 WLCampbell1908 WLCampbell,1908 WLCampbell1914 WLCampbell,1914 WLCampbell1908->WLCampbell1914 WLCampbell1914->ODell1927 WLCampbell1921 WLCampbell,1921 WLCampbell1914->WLCampbell1921 1915 1915 1921 1921 Johannsen1910 Johannsen,1910 Johannsen1910->Flood2002 Johannsen1910->Johannsen1911 Grinsted1915->Flood2002 Grinsted1915->Erlang1918 Grinsted1915->Grinsted1918 ODell1920->Molina1922 ODell1920->ODell1927 ODell1920->Wilkinson1956 ODell1920->WLCampbell1921 ODell1920->Kosten1957 Year Year