Physical Sciences and Mathematics | Open Access Articles

Solutio Singularis Casus Circa Tautochronismum, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

De Curvis Rectificabilibus Algebraicis Atque Traiectoriis Reciprocis Algebraicis, Leonhard Euler

All Works by Eneström Number

No abstract provided.

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

Problematis Isoperimetrici In Latissimo Sensu Accepti Solutio Generalis, Leonhard Euler

All Works by Eneström Number

No abstract provided.

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

De Solutione Problematum Diophanteorum Per Numeros Integros, Leonhard Euler

All Works by Eneström Number

Euler searches for integer solutions to axx+bx+c=yy and considers some applications to figurate numbers.

Go to article

De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler

All Works by Eneström Number

For an equation of degree n, Euler wants to define a "resolvent equation" of degree n-1 whose roots are related to the roots of the original equation. Thus, by solving the resolvent one can solve the original equation. In sections 2 to 7 he works this out for quadratic, cubic, and biquadratic equations. In section 8 Euler says that he wants to try the same approach for solving the quintic equation and general nth degree equations. In the rest of the paper he tries to figure out in what cases resolvents will work.

Go to article

Constructio Aequationis Differentialis AxN Dx = Dy + Y2 Dx, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Mechanica, Volume 2, Leonhard Euler

All Works by Eneström Number

Mechanica (this volume, along with E15) is Euler's outline of a program of studies embracing every branch of science, involving a systematic application of analysis. It laid the foundations of analytical mechanics, the result of Euler's consideration of the motion produced by forces acting on both free and constrained points. It was also the first published work in which the number e appeared. In this volume, Euler considers motion of a point-mass lying on a given curve or surface. He derives some differential equations of the geodesics governing the problem of free motion on a surface. In this way, …

Go to article

Mechanica, Volume 1, Leonhard Euler

All Works by Eneström Number

Mechanica (this volume, along with E16) is Euler's outline of a program of studies embracing every branch of science, involving a systematic application of analysis. It laid the foundations of analytical mechanics, the result of Euler's consideration of the motion produced by forces acting on both free and constrained points. It was also the first published work in which the number e appeared. This volume focuses on the kinematics and dynamics of a point-mass, introducing infinitely small bodies that can be considered to be points under certain assumptions. Euler focuses on single mass-points except for a few pages at …

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

De Innumerabilibus Curvis Tautochronis In Vacuo, Leonhard Euler

All Works by Eneström Number

No abstract provided.

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

Constructio Aequationum Quarundam Differentialium, Quae Indeterminatarum Separationem Non Admittunt, 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

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

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

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

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

Meditationes Super Problemate Nautico, Quod Illustrissima Regia Parisiensis Academia Scientiarum Proposuit, Leonhard Euler

All Works by Eneström Number

No abstract provided.

Go to article

Dissertatio Physica De Sono, Leonhard Euler

All Works by Eneström Number

Euler first explains his theory of what makes up the atmosphere; the basis of his theory lies in the theory of elasticity of the teacher he had before Johann Bernoulli. He also states without proof a formula for the speed of propagation and derives from it numerical values of the correct order of magnitude for air.

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

Self‐Consistent Electronic Structure Of Disordered Fe0.65ni0.35, Duane D. Johnson, F. J. Pinski, G. M. Stocks

Duane D. Johnson

We present the results of the first a b i n i t i o calculation of the electronic structure of the disordered alloy Fe0.65Ni0.35. The calculation is based on the multiple‐scattering coherent‐potential approach (KKR‐CPA) and is fully self‐consistent and spin polarized. Magnetic effects are included within local‐spin‐density functional theory using the exchange‐correlation function of Vosko–Wilk–Nusair. The most striking feature of the calculation is that electrons of different spins experience different degrees of disorder. The minority spin electrons see a very large disorder, whereas the majority spin electrons see little disorder. Consequently, the minority spin density of states is smooth …

Go to article

Cercidiphyllum Japonicum (Katsura) Id, Caidan Zhuoma

BIO 140 Arboretum Project

Location: Between O'Hare and McKillop

Go to article

Studying Properties Of Xenon Doped Argon And Developing Optical Simulation Techniques For The Legend Collaboration, A Neutrinoless Double Beta Decay Experiment, Neil Christopher Mcfadden Dr

Physics & Astronomy ETDs

Neutrinoless double beta decay is a hypothesized lepton-number-violating process in which two neutrons decay to two protons, producing two electrons but no electron antineutrinos. The LEGEND collaboration will search for this decay in ⁷⁶Ge. To improve the argon active veto for LEGEND-1000, xenon doped argon was explored as an alternative active volume. Simulations using argon doped with 10 ppm xenon and pure liquid argon were used to predict the light yield from cosmic muons in a 100 liter cryogenic vessel. The simulations predicted that xenon doping would yield 1.83+/-0.02 more light, while an increase of 1.81+/-0.05 was measured. From …

Go to article

1901, Soil Survey Of The Lower Salinas Valley California, Macy H. Lapham And W. H. Heleman

State and Federal Documents Relating to Monterey and San Luis Obispo Counties

1901 report by Macy H. Lapham and W. H. Heilman on the Lower Salinas Valley including location and boundaries, history of settlement and agricultural development, climate, physiography and geology and the classes of soil. The report includes a map depicting underground water.

Go to article

The Aerosphere As A Network Connector Of Organisms And Their Diseases, Jeremy D. Ross, Eli S. Bridge, Diann J. Prosser, John Y. Takekawa

United States Geological Survey: Staff Publications

Aeroecological processes, especially powered flight of animals, can rapidly connect biological communities across the globe. This can have profound consequences for evolutionary diversification, energy and nutrient transfers, and the spread of infectious diseases. The latter is of particular consequence for human populations, since migratory birds are known to host diseases which have a history of transmission into domestic poultry or even jumping to human hosts. In this chapter, we present a scenario under which a highly pathogenic avian influenza (HPAI) strain enters North America from East Asia via postmolting waterfowl migration. We use an agent-based model (ABM) to simulate the …

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

Full-Text Articles in Physical Sciences and Mathematics

Solutio Singularis Casus Circa Tautochronismum, Leonhard Euler

All Works by Eneström Number

De Curvis Rectificabilibus Algebraicis Atque Traiectoriis Reciprocis Algebraicis, Leonhard Euler

All Works by Eneström Number

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

All Works by Eneström Number

Problematis Isoperimetrici In Latissimo Sensu Accepti Solutio Generalis, Leonhard Euler

All Works by Eneström Number

Specimen De Constructione Aequationum Differentialium Sine Indeterminatarum Separatione, Leonhard Euler

All Works by Eneström Number

De Solutione Problematum Diophanteorum Per Numeros Integros, Leonhard Euler

All Works by Eneström Number

De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler

All Works by Eneström Number

Constructio Aequationis Differentialis AxN Dx = Dy + Y2 Dx, Leonhard Euler

All Works by Eneström Number

Mechanica, Volume 2, Leonhard Euler

All Works by Eneström Number

Mechanica, Volume 1, 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

De Innumerabilibus Curvis Tautochronis In Vacuo, Leonhard Euler

All Works by Eneström Number

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

All Works by Eneström Number

Constructio Aequationum Quarundam Differentialium, Quae Indeterminatarum Separationem Non Admittunt, 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

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

All Works by Eneström Number

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

All Works by Eneström Number

Dissertatio De Novo Quodam Curvarum Tautochronarum Genere, Leonhard Euler

All Works by Eneström Number

Problematis Traiectoriarum Reciprocarum Solutio, Leonhard Euler

All Works by Eneström Number

Meditationes Super Problemate Nautico, Quod Illustrissima Regia Parisiensis Academia Scientiarum Proposuit, Leonhard Euler

All Works by Eneström Number

Dissertatio Physica De Sono, 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

Self‐Consistent Electronic Structure Of Disordered Fe0.65ni0.35, Duane D. Johnson, F. J. Pinski, G. M. Stocks

Duane D. Johnson

Cercidiphyllum Japonicum (Katsura) Id, Caidan Zhuoma

BIO 140 Arboretum Project

Studying Properties Of Xenon Doped Argon And Developing Optical Simulation Techniques For The Legend Collaboration, A Neutrinoless Double Beta Decay Experiment, Neil Christopher Mcfadden Dr

Physics & Astronomy ETDs

1901, Soil Survey Of The Lower Salinas Valley California, Macy H. Lapham And W. H. Heleman

State and Federal Documents Relating to Monterey and San Luis Obispo Counties

The Aerosphere As A Network Connector Of Organisms And Their Diseases, Jeremy D. Ross, Eli S. Bridge, Diann J. Prosser, John Y. Takekawa

United States Geological Survey: Staff 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