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A Set Of Completely Independent Postulates For The Linear Order Η*, M. G. Gaba Jan 1920

A Set Of Completely Independent Postulates For The Linear Order Η*, M. G. Gaba

Department of Mathematics: Faculty Publications

Professor E. V. Huntington has published three sets of completely independent postulates for serial order. His set A involves four postulates, which is as high a number of postulates as had been proved completely independent. In the present paper are given seven postulates which form a categorical and completely independent set for the linear order.
Our basis is a class of elements [p] and an undefined dyadic relation (called 'less than') among the elements. If we are given two elements p1p2 and if the relation p1 less than p2 holds, we will symbolize …


A Theorem On Semi-Continuous Functions, Henry Blumberg Jan 1918

A Theorem On Semi-Continuous Functions, Henry Blumberg

Department of Mathematics: Faculty Publications

Recently G. C. Young and A. Denjoy have communicated theorems—those in Denjoy's memoir are of an especially comprehensive character—dealing, in particular, with point sets where the four derivatives of a given continuous function are identical. It is the purpose of this note to treat an analogous problem that arises when "derivative" is replaced by "saltus." However, instead of confining ourselves to "saltus," we prove a more general theorem that applies essentially to all semi-continuous functions. We preface the proof of this theorem with the following


Ein Brief Eulers An D'Alembert, Leonhard Euler Jan 1911

Ein Brief Eulers An D'Alembert, Leonhard Euler

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No abstract provided.


Several Lines Of A Letter From Euler To The Royal Society Dated 21 October/1 November 1768, Leonhard Euler Jan 1908

Several Lines Of A Letter From Euler To The Royal Society Dated 21 October/1 November 1768, Leonhard Euler

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No abstract provided.


Three Letters From Euler To Daniel Bernoulli, 1734-1740, Leonhard Euler Jan 1907

Three Letters From Euler To Daniel Bernoulli, 1734-1740, Leonhard Euler

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No abstract provided.


Extracts Of Letters From Euler To Johann I Bernoulli, 1728-1729, Leonhard Euler Jan 1899

Extracts Of Letters From Euler To Johann I Bernoulli, 1728-1729, Leonhard Euler

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No abstract provided.


Inversion Applied To The Common Equations Of The Conic Sections, Edna Maria Cargill Jan 1898

Inversion Applied To The Common Equations Of The Conic Sections, Edna Maria Cargill

Student and Lippitt Prize Essays

A solution of applying inversion to the mathematic equation of conic sections, beginning with a definition of inversion and statement of the problem.


Some Contributions Of Pure Math To Science, Herbert B.E. Case Jan 1897

Some Contributions Of Pure Math To Science, Herbert B.E. Case

Student and Lippitt Prize Essays

An examination of the connection between math and science through discoveries in the subjects of astronomy, mechanics, physics and chemistry.


Extracts Of Letters From Euler To Johann I Bernoulli, 1739-1740, Leonhard Euler Jan 1897

Extracts Of Letters From Euler To Johann I Bernoulli, 1739-1740, Leonhard Euler

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No abstract provided.


Fourteen Letters From Euler To P. L. M. De Maupertuis, 1752-1759, Leonhard Euler Jan 1896

Fourteen Letters From Euler To P. L. M. De Maupertuis, 1752-1759, Leonhard Euler

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No abstract provided.


Student Algebra Notebook, Jack Thorington, Joseph S. Winter Jan 1888

Student Algebra Notebook, Jack Thorington, Joseph S. Winter

Winter Letterbooks

Jack Thorington's Algebra notebook. Contains practice algebra problems.


Lettres Inédites D'Euler À D'Alembert, Leonhard Euler Jan 1886

Lettres Inédites D'Euler À D'Alembert, Leonhard Euler

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No abstract provided.


The Voice Of The Phi Sigma -- 1881 -- Volume 03, No. 15, Phi Sigma Jun 1881

The Voice Of The Phi Sigma -- 1881 -- Volume 03, No. 15, Phi Sigma

The Voice of the Phi Sigma

This item is part of the Phi Sigma collection at the College Archives & Special Collections department of Columbia College Chicago. Contact [email protected] for more information and to view the collection.


Auszüge Aus Briefen Von L. Euler An Johann I. Bernoulli 1729-1737, Leonhard Euler Dec 1879

Auszüge Aus Briefen Von L. Euler An Johann I. Bernoulli 1729-1737, Leonhard Euler

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No abstract provided.


Series Maxime Idoneae Pro Circuli Quadratura Proxime Invenienda, Leonhard Euler Jan 1862

Series Maxime Idoneae Pro Circuli Quadratura Proxime Invenienda, Leonhard Euler

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No abstract provided.


De Emendatione Tabularum Lunarium Per Observationes Eclipsium Lunae, Leonhard Euler Jan 1862

De Emendatione Tabularum Lunarium Per Observationes Eclipsium Lunae, Leonhard Euler

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No abstract provided.


Fragmentum Ex Adversariis Mathematicis Depromtum, Leonhard Euler Jan 1862

Fragmentum Ex Adversariis Mathematicis Depromtum, Leonhard Euler

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No abstract provided.


Sur Les Logarithmes Des Nombres Négatifs Et Imaginaires, Leonhard Euler Dec 1861

Sur Les Logarithmes Des Nombres Négatifs Et Imaginaires, Leonhard Euler

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No abstract provided.


Analyse D'Un Problème Du Calcul Des Probabilités, Leonhard Euler Dec 1861

Analyse D'Un Problème Du Calcul Des Probabilités, Leonhard Euler

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No abstract provided.


Vera Aestimatio Sortis In Ludis, Leonhard Euler Dec 1861

Vera Aestimatio Sortis In Ludis, Leonhard Euler

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No abstract provided.


Institutionum Calculi Differentialis Sectio Iii, Leonhard Euler Dec 1861

Institutionum Calculi Differentialis Sectio Iii, Leonhard Euler

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No abstract provided.


Problematis Ex Theoria Maximorum Et Minimorum Solutio, Leonhard Euler Dec 1861

Problematis Ex Theoria Maximorum Et Minimorum Solutio, Leonhard Euler

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No abstract provided.


De Lineis Curvis, Quarum Rectificatio Per Datam Quadraturam Mensuratur, Leonhard Euler Dec 1861

De Lineis Curvis, Quarum Rectificatio Per Datam Quadraturam Mensuratur, Leonhard Euler

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No abstract provided.


Vera Vires Existimandi Ratio, Leonhard Euler Dec 1861

Vera Vires Existimandi Ratio, Leonhard Euler

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No abstract provided.


De Motu Corporum Super Superficiebus Mobilibus, Leonhard Euler Dec 1861

De Motu Corporum Super Superficiebus Mobilibus, Leonhard Euler

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No abstract provided.


Dissertation Sur Le Mouvement Des Corps Enfermés Dans Un Tube Droit, Mobile Autour D'Un Axe Fixe, Leonhard Euler Dec 1861

Dissertation Sur Le Mouvement Des Corps Enfermés Dans Un Tube Droit, Mobile Autour D'Un Axe Fixe, Leonhard Euler

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No abstract provided.


Recensio Litterarum A Cl. D. Bernoullio Basileae Die 26. Oct. 1735 Ad Me Datarum, Una Cum Annotationibus Meis, Leonhard Euler Dec 1861

Recensio Litterarum A Cl. D. Bernoullio Basileae Die 26. Oct. 1735 Ad Me Datarum, Una Cum Annotationibus Meis, Leonhard Euler

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No abstract provided.


Nouvelles Tables Astronomiques Pour Calculer La Place Du Soliel, Leonhard Euler Dec 1861

Nouvelles Tables Astronomiques Pour Calculer La Place Du Soliel, Leonhard Euler

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No abstract provided.


Tria Capita Ex Opere Quodam Majori Inedito De Theoria Lunae, Leonhard Euler Dec 1861

Tria Capita Ex Opere Quodam Majori Inedito De Theoria Lunae, Leonhard Euler

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No abstract provided.


De Atmosphaera Lunae Ex Eclipsi Colis Annulari Evicta, Leonhard Euler Dec 1861

De Atmosphaera Lunae Ex Eclipsi Colis Annulari Evicta, Leonhard Euler

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No abstract provided.