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

Von Der Gestalt Der Erden, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Methodus Generalis Summandi Progressiones, Leonhard Euler

All Works by Eneström Number

This paper leads to Bernoulli numbers from an integral of an infinite series and is called a beautiful triumph by Euler.

Go to article

Observationes De Theoremate Quodam Fermatiano Aliisque Ad Numeros Primos Spectantibus, Leonhard Euler

All Works by Eneström Number

Euler shows that the fifth Fermat number, 2^2⁵ +1 = 4,294,967,297, is not prime because it is divisible by 641, though he does not give any clues about how he discovered this fact. He also tacks on a few "theorems" but says that he does not yet know how to prove them.

Go to article

Specimen De Constructione Aequationum Differentialium Sine Indeterminatarum Separatione, Leonhard Euler

All Works by Eneström Number

In this paper, Euler investigates a differential equation that he encountered in finding the arc length of an ellipse. This differential equation cannot be solved by separation of variables, as is indicated in the title of the article. Euler first develops a formula for the arc length of an ellipse by cleverly manipulating a binomial series, then shows that this formula satisfies the desired differential equation. Integrating factors make a brief appearance.

Go to article

Curva Tautochrona In Fluido Resistentiam Faciente Secundum Quadrata Celeritatum, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

De Innumerabilibus Curvis Tautochronis In Vacuo, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Solutio Problematis Astronomici Ex Datis Tribus Stellae Fixae Altitudinibus Et Temporum Differentiis Invenire Elevationem Poli Et Declinationem Stellae. Auct. L. Eulero, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Constructio Aequationum Quarundam Differentialium, Quae Indeterminatarum Separationem Non Admittunt, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Solutio Problematis De Invenienda Curva, Quam Format Lamina Utcunque Elastica In Singulis Punctis A Potentiis Quibuscunque Sollicitata, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Nova Methodus Innumerabiles Aequationes Differentiales Secundi Gradus Reducendi Ad Aequationes Differentiales Primi Gradus, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

De Linea Brevissima In Superficie Quacunque Duo Quaelibet Puncta Iungente, Leonhard Euler

All Works by Eneström Number

This article arose out of a homework assignment that Euler did for Johann Bernoulli. Bernoulli asked Euler to find the shortest line between two points on a surface. This work provided some of the first analytical foundations for the calculus of variations.

Go to article

Problematis Traiectoriarum Reciprocarum Solutio, Leonhard Euler

All Works by Eneström Number

This article contains Euler's first published use of complex numbers and a many-axis geometric construction. Euler also defines even functions f(x) as those for which f(x) = f(-x), perhaps the first use of this term.

Go to article

Dissertatio De Novo Quodam Curvarum Tautochronarum Genere, Leonhard Euler

All Works by Eneström Number

According to Eneström: "Intrigued by a clock invented by D. Sully, Euler busied himself with the construction of curves which cause a pendulum to swing isochronally."

Go to article

Tentamen Explicationis Phaenomenorum Aeris, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Methodus Inveniendi Traiectorias Reciprocas Algebraicas, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Constructio Linearum Isochronarum In Medio Quocunque Resistente, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Human Complement Protein C8: The “Hole” Story, James M. Sodetz

Journal of the South Carolina Academy of Science

No abstract provided.

Go to article

Irrigated Agriculture Significantly Modifies Seasonal Boundary Layer Atmosphere And Lower Tropospheric Convective Environment, E. Lachenmeier, R. Mahmood, C. Phillips, U. Nair, E. Rappin, R. Pielke Sr., W. Brown, S. Oncley, J. Wurman, K. Kosiba, A. Kaulfus, J. Santanello Jr., E. Kim, P. Lawston-Parker, Michael Hayes, T. Franz

School of Natural Resources: Faculty Publications

No abstract provided.

Go to article

Wearable Electrochemical Sensors For Monitoring Performance Athletes, Kevin J. Fraser, Vincenzo F. Curtin, Shirley Coyle, Benjamin Schazmann, Robert Byrne, Fernando Benito-Lopez, Roisin M. Owens, George C. Malliaras, Dermot Diamond

Conference Papers

Nowadays, wearable sensors such as heart rate monitors and pedometers are in common use. The use of wearable systems such as these for personalized exercise regimes for health and rehabilitation is particularly interesting. In particular, the true potential of wearable chemical sensors, which for the real-time ambulatory monitoring of bodily fluids such as tears, sweat, urine and blood has not been realized. Here we present a brief introduction into the fields of ionogels and organic electrochemical transistors, and in particular, the concept of an OECT transistor incorporated into a sticking-plaster, along with a printable “ionogel” to provide a wearable biosensor …

Go to article

Digital Commons Network^™

Full-Text Articles in Entire DC Network

Von Der Gestalt Der Erden, Leonhard Euler

All Works by Eneström Number

Methodus Generalis Summandi Progressiones, Leonhard Euler

All Works by Eneström Number

Observationes De Theoremate Quodam Fermatiano Aliisque Ad Numeros Primos Spectantibus, Leonhard Euler

All Works by Eneström Number

Specimen De Constructione Aequationum Differentialium Sine Indeterminatarum Separatione, Leonhard Euler

All Works by Eneström Number

Curva Tautochrona In Fluido Resistentiam Faciente Secundum Quadrata Celeritatum, Leonhard Euler

All Works by Eneström Number

De Innumerabilibus Curvis Tautochronis In Vacuo, Leonhard Euler

All Works by Eneström Number

Solutio Problematis Astronomici Ex Datis Tribus Stellae Fixae Altitudinibus Et Temporum Differentiis Invenire Elevationem Poli Et Declinationem Stellae. Auct. L. Eulero, Leonhard Euler

All Works by Eneström Number

Constructio Aequationum Quarundam Differentialium, Quae Indeterminatarum Separationem Non Admittunt, Leonhard Euler

All Works by Eneström Number

Solutio Problematis De Invenienda Curva, Quam Format Lamina Utcunque Elastica In Singulis Punctis A Potentiis Quibuscunque Sollicitata, Leonhard Euler

All Works by Eneström Number

Nova Methodus Innumerabiles Aequationes Differentiales Secundi Gradus Reducendi Ad Aequationes Differentiales Primi Gradus, Leonhard Euler

All Works by Eneström Number

De Linea Brevissima In Superficie Quacunque Duo Quaelibet Puncta Iungente, Leonhard Euler

All Works by Eneström Number

Problematis Traiectoriarum Reciprocarum Solutio, Leonhard Euler

All Works by Eneström Number

Dissertatio De Novo Quodam Curvarum Tautochronarum Genere, Leonhard Euler

All Works by Eneström Number

Tentamen Explicationis Phaenomenorum Aeris, Leonhard Euler

All Works by Eneström Number

Methodus Inveniendi Traiectorias Reciprocas Algebraicas, Leonhard Euler

All Works by Eneström Number

Constructio Linearum Isochronarum In Medio Quocunque Resistente, Leonhard Euler

All Works by Eneström Number

Human Complement Protein C8: The “Hole” Story, James M. Sodetz

Journal of the South Carolina Academy of Science

School of Natural Resources: Faculty Publications

Wearable Electrochemical Sensors For Monitoring Performance Athletes, Kevin J. Fraser, Vincenzo F. Curtin, Shirley Coyle, Benjamin Schazmann, Robert Byrne, Fernando Benito-Lopez, Roisin M. Owens, George C. Malliaras, Dermot Diamond

Conference Papers