Émile Léonard Mathieu
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Émile Léonard Mathieu
Émile Léonard Mathieu (; 15 May 1835, in Metz – 19 October 1890, in Nancy) was a French mathematician. He is known for his work in group theory and mathematical physics. He has given his name to the Mathieu functions, Mathieu groups and Mathieu transformation. He authored a treatise of mathematical physics in 6 volumes. Volume 1 is an exposition of the techniques to solve the differential equations of mathematical physics, and contains an account of the applications of Mathieu functions to electrostatics. Volume 2 deals with capillarity. Volumes 3 and 4 deal with electrostatics and magnetostatics. Volume 5 deals with electrodynamics, and volume 6 with elasticity. The asteroid An asteroid is a minor planet—an object larger than a meteoroid that is neither a planet nor an identified comet—that orbits within the Solar System#Inner Solar System, inner Solar System or is co-orbital with Jupiter (Trojan asteroids). As ... 27947 Emilemathieu was named in his honour. Ea ...
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Metz
Metz ( , , , then ) is a city in northeast France located at the confluence of the Moselle (river), Moselle and the Seille (Moselle), Seille rivers. Metz is the Prefectures in France, prefecture of the Moselle (department), Moselle Departments of France, department and the seat of the parliament of the Grand Est Regions of France, region. Located near the Tri-border area, tripoint along the junction of France, Germany and Luxembourg,Says J.M. (2010) La Moselle, une rivière européenne. Eds. Serpenoise. the city forms a central part of the European Greater Region and the SaarLorLux euroregion. Metz has a rich 3,000-year history,Bour R. (2007) Histoire de Metz, nouvelle édition. Eds. Serpenoise. having variously been a Celts, Celtic ''oppidum'', an important Gallo-Roman city,Vigneron B. (1986) Metz antique: Divodurum Mediomatricorum. Eds. Maisonneuve. the Merovingian capital of Austrasia,Huguenin A. (2011) Histoire du royaume mérovingien d'Austrasie. Eds. des Paraiges. p ...
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Capillarity
Capillary action (sometimes called capillarity, capillary motion, capillary rise, capillary effect, or wicking) is the process of a liquid flowing in a narrow space without the assistance of external forces like Gravitation, gravity. The effect can be seen in the drawing up of liquids between the hairs of a paint-brush, in a thin tube such as a Drinking straw, straw, in porous materials such as paper and plaster, in some non-porous materials such as clay and liquefied carbon fiber, or in a biological cell. It occurs because of intermolecular forces between the liquid and surrounding solid surfaces. If the diameter of the tube is sufficiently small, then the combination of surface tension (which is caused by Cohesion (chemistry), cohesion within the liquid) and Adhesion, adhesive forces between the liquid and container wall act to propel the liquid. Etymology Capillary comes from the Latin word capillaris, meaning "of or resembling hair". The meaning stems from the tiny, hairl ...
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1890 Deaths
Events January * January 1 – The Kingdom of Italy establishes Eritrea as its colony in the Horn of Africa. * January 2 – Alice Sanger becomes the first female staffer in the White House. * January 11 – 1890 British Ultimatum: The United Kingdom demands Portugal withdraw its forces from the land between the Portuguese colonies of Mozambique and Angola (most of present-day Zimbabwe and Zambia). * January 15 – Ballet '' The Sleeping Beauty'', with music by Tchaikovsky, is premiered at the Imperial Mariinsky Theatre in St. Petersburg, Russia. * January 25 ** The United Mine Workers of America is founded. ** American journalist Nellie Bly completes her round-the-world journey in 72 days. February * February 5 – The worldwide insurance and financial service brand Allianz is founded in Berlin, Germany. * February 18 – The National American Woman Suffrage Association (NAWSA) is founded by Elizabeth Cady Stanton and Susan B. Anthony. * February 24 – Chicago is se ...
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1835 Births
Events January–March * January 7 – anchors off the Chonos Archipelago on her second voyage, with Charles Darwin on board as naturalist. * January 8 – The United States public debt contracts to zero, for the only time in history. * January 24 – Malê Revolt: African slaves of Yoruba Muslim origin revolt against Brazilian owners at Salvador, Bahia. * January 26 ** Queen Maria II of Portugal marries Auguste de Beauharnais, 2nd Duke of Leuchtenberg, in Lisbon; he dies only two months later. ** Saint Paul's in Macau is largely destroyed by fire after a typhoon hits. * January 30 – The first assassination attempt against a President of the United States is carried out against U.S. President Andrew Jackson at the United States Capitol * February 1 – Slavery is abolished in Mauritius. * February 20 – 1835 Concepción earthquake: Concepción, Chile, is destroyed by an earthquake. The resulting tsunami destroys the neighboring city of Talcahuano. * March 2 – ...
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19th-century French Mathematicians
The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems and confirm ce ...
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Asteroid
An asteroid is a minor planet—an object larger than a meteoroid that is neither a planet nor an identified comet—that orbits within the Solar System#Inner Solar System, inner Solar System or is co-orbital with Jupiter (Trojan asteroids). Asteroids are rocky, metallic, or icy bodies with no atmosphere, and are broadly classified into C-type asteroid, C-type (carbonaceous), M-type asteroid, M-type (metallic), or S-type asteroid, S-type (silicaceous). The size and shape of asteroids vary significantly, ranging from small rubble piles under a kilometer across to Ceres (dwarf planet), Ceres, a dwarf planet almost 1000 km in diameter. A body is classified as a comet, not an asteroid, if it shows a coma (tail) when warmed by solar radiation, although recent observations suggest a continuum between these types of bodies. Of the roughly one million known asteroids, the greatest number are located between the orbits of Mars and Jupiter, approximately 2 to 4 astronomical unit, AU ...
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Elasticity (physics)
In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to ''plasticity'', in which the object fails to do so and instead remains in its deformed state. The physical reasons for elastic behavior can be quite different for different materials. In metals, the Crystal structure, atomic lattice changes size and shape when forces are applied (energy is added to the system). When forces are removed, the lattice goes back to the original lower energy state. For rubber elasticity, rubbers and other polymers, elasticity is caused by the stretching of polymer chains when forces are applied. Hooke's law states that the force required to deform elastic objects should be Prop ...
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Electrodynamics
In physics, electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields. The electromagnetic force is one of the four fundamental forces of nature. It is the dominant force in the interactions of atoms and molecules. Electromagnetism can be thought of as a combination of electrostatics and magnetism, which are distinct but closely intertwined phenomena. Electromagnetic forces occur between any two charged particles. Electric forces cause an attraction between particles with opposite charges and repulsion between particles with the same charge, while magnetism is an interaction that occurs between charged particles in relative motion. These two forces are described in terms of electromagnetic fields. Macroscopic charged objects are described in terms of Coulomb's law for electricity and Ampère's force law for magnetism; the Lorentz force describes microscopic charged particles. The electromagnetic force is responsible for m ...
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Magnetostatics
Magnetostatics is the study of magnetic fields in systems where the electric currents, currents are steady current, steady (not changing with time). It is the magnetic analogue of electrostatics, where the electric charge, charges are stationary. The magnetization need not be static; the equations of magnetostatics can be used to predict fast Magnetization reversal, magnetic switching events that occur on time scales of nanoseconds or less. Magnetostatics is even a good approximation when the currents are not static – as long as the currents do not alternating current, alternate rapidly. Magnetostatics is widely used in applications of micromagnetics such as models of magnetic storage devices as in computer memory. Applications Magnetostatics as a special case of Maxwell's equations Starting from Maxwell's equations and assuming that charges are either fixed or move as a steady current \mathbf, the equations separate into two equations for the electric field (see electrost ...
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Electrostatics
Electrostatics is a branch of physics that studies slow-moving or stationary electric charges. Since classical antiquity, classical times, it has been known that some materials, such as amber, attract lightweight particles after triboelectric effect, rubbing. The Greek language, Greek word (), meaning 'amber', was thus the Root (linguistics), root of the word ''electricity''. Electrostatic phenomena arise from the forces that electric charges exert on each other. Such forces are described by Coulomb's law. There are many examples of electrostatic phenomena, from those as simple as the attraction of plastic wrap to one's hand after it is removed from a package, to the apparently spontaneous explosion of grain silos, the damage of electronic components during manufacturing, and photocopier and laser printing, laser printer operation. The electrostatic model accurately predicts electrical phenomena in "classical" cases where the velocities are low and the system is macroscopic so ...
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Nancy, France
Nancy is the Prefectures in France, prefecture of the northeastern Departments of France, French department of Meurthe-et-Moselle. It was the capital of the Duchy of Lorraine, which was Lorraine and Barrois, annexed by France under King Louis XV in 1766 and replaced by a Provinces of France, province, with Nancy maintained as capital. Following its rise to prominence in the Age of Enlightenment, it was nicknamed the "capital of Eastern France" in the late 19th century. The metropolitan area of Nancy had a population of 508,793 inhabitants as of 2021, making it the 16th-largest functional area (France), functional urban area in France and Lorraine's largest. The population of the city of Nancy proper is 104,387 (2022). The motto of the city is —a reference to the thistle, which is a symbol of Lorraine. Place Stanislas, a large square built between 1752 and 1756 by architect Emmanuel Héré under the direction of Stanislaus I of Poland to link the medieval old town of Nancy and ...
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