Entire DC Network | Open Access Articles | Digital Commons Network™

Additamentum Ad Dissertationem De Infinitis Curvis Eiusdem Generis, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

De Minimis Oscillationibus Corporum Tam Rigidorum Quam Flexibilium. Methodus Nova Et Facilis., Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler

All Works by Eneström Number

Euler proves the Chinese Remainder Theorem by constructing an algorithm to find the smallest number which, divided by given numbers, leaves given remainders. He begins by solving the case in which two relatively prime divisors with corresponding remainders are given and proposes that by repeating his algorithm, he can solve similar problems with any number of constraints. Euler then discusses scenarios in which divisors are not relatively prime, and ends the paper with an application of his algorithm to a classic problem: dating events in Roman indictions.

Go to article

Solutio Problematum Quorundam Astronomicorum, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

De Infinitis Curvis Eiusdem Generis Seu Methodus Inveniendi Aequationes Pro Infinitis Curvis Eiusdem Generis, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

De Linea Celerrimi Descensus In Medio Quocunque Resistente, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

De Motu Planetarum Et Orbitarum Determinatione, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Orbitae Solaris Determinatio, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

De Summis Serierum Reciprocarum, Leonhard Euler

All Works by Eneström Number

Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces the Euler numbers E_n. All the odd-indexed Euler numbers are zero, E₀=1, E₂=-1, E₄=5, E₆=-61, E₈=1380, and they satisfy (E+1)ⁿ+(E-1)ⁿ = 0. (The Euler numbers are the coefficients of the series expansion of sech(x) and are related to Bernoulli numbers.) Among other things, this paper includes an infinite product formula for sin(x)/x.

Go to article

De Progressionibus Harmonicis Observationes, Leonhard Euler

All Works by Eneström Number

Euler gives the now-named Euler-Mascheroni constant, accurate to five decimal places, and examines several series related to log(n).

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Scherzgedichte, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Schäferlied, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Ode, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Brief, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Brief, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Brief, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Brief, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Brief, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Brief, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Cantata, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Cantata, Christiana Mariana Von Ziegler

Poetry

This title is part of a compilation, Gedichte, found at https://scholarsarchive.byu.edu/sophpm_poetry/22/.

Go to article

Full-Text Articles in Entire DC Network

Additamentum Ad Dissertationem De Infinitis Curvis Eiusdem Generis, Leonhard Euler

All Works by Eneström Number

De Minimis Oscillationibus Corporum Tam Rigidorum Quam Flexibilium. Methodus Nova Et Facilis., Leonhard Euler

All Works by Eneström Number

Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler

All Works by Eneström Number

Solutio Problematum Quorundam Astronomicorum, Leonhard Euler

All Works by Eneström Number

De Infinitis Curvis Eiusdem Generis Seu Methodus Inveniendi Aequationes Pro Infinitis Curvis Eiusdem Generis, Leonhard Euler

All Works by Eneström Number

De Linea Celerrimi Descensus In Medio Quocunque Resistente, Leonhard Euler

All Works by Eneström Number

De Motu Planetarum Et Orbitarum Determinatione, Leonhard Euler

All Works by Eneström Number

Orbitae Solaris Determinatio, Leonhard Euler

All Works by Eneström Number

De Summis Serierum Reciprocarum, Leonhard Euler

All Works by Eneström Number

De Progressionibus Harmonicis Observationes, Leonhard Euler

All Works by Eneström Number

Ode, Christiana Mariana Von Ziegler

Poetry

Scherzgedichte, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Schäferlied, Christiana Mariana Von Ziegler

Poetry

Ode, Christiana Mariana Von Ziegler

Poetry

Brief, Christiana Mariana Von Ziegler

Poetry

Brief, Christiana Mariana Von Ziegler

Poetry

Brief, Christiana Mariana Von Ziegler

Poetry

Brief, Christiana Mariana Von Ziegler

Poetry

Brief, Christiana Mariana Von Ziegler

Poetry

Brief, Christiana Mariana Von Ziegler

Poetry

Cantata, Christiana Mariana Von Ziegler

Poetry

Cantata, Christiana Mariana Von Ziegler

Poetry