From Cauchy–Schwarz to the House of Representatives: Applications of Lagrange’s Identity

DOI10.1080/0025570X.2021.1951575zbMath1505.00007OpenAlexW3201389021MaRDI QIDQ5019901

Tommy Wright

Publication date: 11 January 2022

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0025570x.2021.1951575

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Sampling theory, sample surveys (62D05) Voting theory (91B12) Inequalities for sums, series and integrals (26D15) Resource and cost allocation (including fair division, apportionment, etc.) (91B32) Popularization of mathematics (00A09)

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The many apportionment paradoxes of the 2020 Iowa Democratic presidential caucuses

Cites Work

• Exact optimal sample allocation: more efficient than Neyman
• Lagrange's Identity and Congressional Apportionment
• On the Two Different Aspects of the Representative Method: The Method of Stratified Sampling and the Method of Purposive Selection
• The Equivalence of Neyman Optimum Allocation for Sampling and Equal Proportions for Apportioning the U.S. House of Representatives
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