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Oliver Dimon Kellogg
Oliver Dimon Kellogg (10 July 1878 – 27 August 1932) was an American mathematician. His father, Day Otis Kellogg, was a professor of literature at the University of Kansas and editor of the American edition of the ''Encyclopædia Britannica''. In 1895 Oliver Kellogg began his undergraduate study at Princeton University, where he earned his master's degree in 1900. With a John S. Kennedy stipend he first studied at the Humboldt University of Berlin and then in 1901/1902 at Georg-August-Universität Göttingen. At Göttingen in 1902 he earned his PhD with a thesis ''Zur Theorie der Integralgleichungen und des Dirichlet'schen Prinzips'' under the direction of David Hilbert. After completing his thesis, Kellogg became an instructor at Princeton and from 1905 at the University of Missouri, where he became a professor in 1910. In World War I he was a scientific advisor at the Coast Guard Academy in New London, Connecticut, where he worked on submarine detection. Kellogg became a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linwood, Pennsylvania
Linwood is a census-designated place (CDP) in Delaware County, Pennsylvania, United States. The population was 3,281 at the 2010 census. Geography Linwood is located in southern Delaware County at (39.825945, -75.422808). It occupies the eastern half of Lower Chichester and is home to more than 90% of the township's population. It is bordered to the south by the borough of Marcus Hook and to the east by the borough of Trainer. The northern border is with Upper Chichester Township. According to the United States Census Bureau, the Linwood CDP has a total area of , all of it land. Education Linwood is a part of Chichester School District. Children within the area usually atten Linwood Elementary School(Grades K-4) Chichester Middle School(Grades 5-8), or Chichester High School (Grades 9-12). Holy Family Regional Catholic School in Aston is the area Catholic school. It formed in 2012 from a merger of Holy Savior-St. John Fisher Elementary School in Linwood and St. Joseph Ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Coast Guard Academy
The United States Coast Guard Academy (USCGA) is a service academy of the United States Coast Guard in New London, Connecticut. Founded in 1876, it is the smallest of the five U.S. service academies and provides education to future Coast Guard officers in one of nine major fields of study. Students are officers-in-training and are referred to as cadets, and upon graduation receive a Bachelor of Science degree and are commissioned as Coast Guard ensigns with a five-year active-duty service obligation, with additional years if the graduate attends flight school or subsequent government-funded graduate school. Out of approximately 250 cadets entering the academy each summer, around 200 graduate. Cadets can choose from among nine majors, with a curriculum that is graded according to their performance in a holistic program of academics, physical fitness, character, and leadership. Cadets are required to adhere to the academy's "Honor Concept," "''Who lives here reveres honor, ho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1932 Deaths
Year 193 ( CXCIII) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Sosius and Ericius (or, less frequently, year 946 ''Ab urbe condita''). The denomination 193 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * January 1 – Year of the Five Emperors: The Roman Senate chooses Publius Helvius Pertinax, against his will, to succeed the late Commodus as Emperor. Pertinax is forced to reorganize the handling of finances, which were wrecked under Commodus, to reestablish discipline in the Roman army, and to suspend the food programs established by Trajan, provoking the ire of the Praetorian Guard. * March 28 – Pertinax is assassinated by members of the Praetorian Guard, who storm the imperial palace. The Empire is auctioned off ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1878 Births
Events January–March * January 5 – Russo-Turkish War – Battle of Shipka Pass IV: Russian and Bulgarian forces defeat the Ottoman Empire. * January 9 – Umberto I becomes King of Italy. * January 17 – Battle of Philippopolis: Russian troops defeat the Turks. * January 23 – Benjamin Disraeli orders the British fleet to the Dardanelles. * January 24 – Russian revolutionary Vera Zasulich shoots at Fyodor Trepov, Governor of Saint Petersburg. * January 28 – ''The Yale News'' becomes the first daily college newspaper in the United States. * January 31 – Turkey agrees to an armistice at Adrianople. * February 2 – Greece declares war on the Ottoman Empire. * February 7 – Pope Pius IX dies, after a 31½ year reign (the longest definitely confirmed). * February 8 – The British fleet enters Turkish waters, and anchors off Istanbul; Russia threatens to occupy Istanbul, but does not carry out the threat. * Febru ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kellogg's Theorem
Kellogg's theorem is a pair of related results in the mathematical study of the regularity of harmonic functions on sufficiently smooth domains by Oliver Dimon Kellogg. In the first version, it states that, for k \geq 2 , if the domain's boundary is of class C^k and the ''k''-th derivatives of the boundary are Dini continuous, then the harmonic functions are uniformly C^k as well. The second, more common version of the theorem states that for domains which are C^, if the boundary data is of class C^, then so is the harmonic function itself. Kellogg's method of proof analyzes the representation of harmonic functions provided by the Poisson kernel, applied to an interior tangent sphere. In modern presentations, Kellogg's theorem is usually covered as a specific case of the boundary Schauder estimates for elliptic partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Earle Raymond Hedrick
Earle Raymond Hedrick (September 27, 1876 – February 3, 1943), was an American mathematician and a vice-president of the University of California. Education and career Hedrick was born in Union City, Indiana. After undergraduate work at the University of Michigan, he obtained a Master of Arts from Harvard University. With a Parker fellowship, he went to Europe and obtained his PhD from Göttingen University in Germany under the supervision of David Hilbert in 1901. He then spent several months at the École Normale Supérieure in France, where he became acquainted with Édouard Goursat, Jacques Hadamard, Jules Tannery, Émile Picard and Paul Émile Appell, before becoming an instructor at Yale University. In 1903, he became professor at the University of Missouri. He moved in 1920 to the University of California, Los Angeles to become head of the department of mathematics. In 1933, he was giving the first graduate lecture on mathematics at UCLA. He became provost and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brouwer Fixed Point Theorem
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f mapping a compact convex set to itself there is a point x_0 such that f(x_0)=x_0. The simplest forms of Brouwer's theorem are for continuous functions f from a closed interval I in the real numbers to itself or from a closed disk D to itself. A more general form than the latter is for continuous functions from a convex compact subset K of Euclidean space to itself. Among hundreds of fixed-point theorems, Brouwer's is particularly well known, due in part to its use across numerous fields of mathematics. In its original field, this result is one of the key theorems characterizing the topology of Euclidean spaces, along with the Jordan curve theorem, the hairy ball theorem, the invariance of dimension and the Borsuk–Ulam theorem. This gives it a place among the fundamental theorems of topology. The theorem is also used for proving ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George David Birkhoff
George David Birkhoff (March 21, 1884 – November 12, 1944) was an American mathematician best known for what is now called the ergodic theorem. Birkhoff was one of the most important leaders in American mathematics in his generation, and during his time he was considered by many to be the preeminent American mathematician. The George D. Birkhoff House, his residence in Cambridge, Massachusetts, has been designated a National Historic Landmark. Personal life He was born in Overisel Township, Michigan, the son of David Birkhoff and Jane Gertrude Droppers. The mathematician Garrett Birkhoff (1911–1996) was his son. Career Birkhoff obtained his A.B. and A.M. from Harvard University. He completed his Ph.D. in 1907, on differential equations, at the University of Chicago. While E. H. Moore was his supervisor, he was most influenced by the writings of Henri Poincaré. After teaching at the University of Wisconsin–Madison and Princeton University, he taught at Harvard from 191 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Potential Theory
In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravity and the electrostatic force, could be modeled using functions called the gravitational potential and electrostatic potential, both of which satisfy Poisson's equation—or in the vacuum, Laplace's equation. There is considerable overlap between potential theory and the theory of Poisson's equation to the extent that it is impossible to draw a distinction between these two fields. The difference is more one of emphasis than subject matter and rests on the following distinction: potential theory focuses on the properties of the functions as opposed to the properties of the equation. For example, a result about the singularities of harmonic functions would be said to belong to potential theory whilst a result on how the solution depends ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sun Journal (Lewiston)
The ''Sun Journal'' is a newspaper published in Lewiston, Maine, United States, which covers central and western Maine. In addition to its main office in Lewiston, the paper maintains satellite news and sales bureaus in the Maine towns of Farmington, Norway and Rumford. Its daily circulation is approximately 18,600, making it one of the most-read dailies in the state. Though its history dates back to 1847, the ''Sun Journal'' has existed in its current iteration since 1989, when Lewiston's two largest newspapers, the morning ''Lewiston Daily Sun'' and afternoon ''Lewiston Evening Journal'' were combined into one publication. Long owned and published by the Costello family, the newspaper was purchased by Reade Brower, owner of MaineToday Media, in 2017. History The lineage of the ''Sun Journal'' can be traced back to May 20, 1847, when printer William Waldron and future Governor of Maine, Dr. Alonzo Garcelon founded Lewiston's first paper, a weekly called the ''Lewiston Falls Jou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doubletop Mountain (Maine)
Doubletop Mountain is a mountain located in Piscataquis County, Maine, in Baxter State Park. According to Fannie Hardy Eckstorm, the mountain's Indigenous name was Psinskihegan-I-Outop. Psinskihegan means notch and I-Outop means head. in 1828 in the Survey of Maine, Moses Greenleaf called the mountain a variation Chinskihegan or Outop. It eventually became Doubletop, named for its two peaks. The mountain's two peaks are a north peak () and a south peak (). From the north a trail from the Nesowednehunk Campground to the north peak is long and another to the south peak. From Foster Field, to the south, a trail leads to the summit. The last third of mile () is steep and climbs about . The north peak is wooded while the south peak is more open. Beneath north peak, set in the rock, is a south facing bronze memorial tablet which reads: KEPPELE HALL JUNE 10, 1872—APRIL 25, 1926 HIS ASHES WERE GIVEN TO THE WINDS AT THIS PLACE AUGUST 20, 1926, AT SUNSET, BY HIS WIFE. Keppele Hall' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
