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Felix and theorem
* Cantor – Bernstein – Schroeder theorem, after Felix Bernstein
In the context of gravitation, Felix Klein's statement of Noether's theorem for action I stipulates for the invariants:
In set theory, the Cantor – Bernstein – Schroeder theorem, named after Georg Cantor, Felix Bernstein, and Ernst Schröder, states that, if there exist injective functions and between the sets A and B, then there exists a bijective function.
Kőnig applied a theorem proved in the thesis of Felix Bernstein ; this theorem, however, was not as generally valid as Bernstein had claimed.
Felix Bernstein ( February 24, 1878, Halle, Germany – December 3, 1956, Zurich, Switzerland ) was a German Jewish mathematician known for developing a theorem of the equivalence of sets in 1897, and less well known for demonstrating the correct blood group inheritance pattern of multiple alleles at one locus in 1924 through statistical analysis.

Felix and for
By the time Felix turned up it was early afternoon, which, one would think, would be late enough so that by then, except for small children and a few hardy souls who had not yet sobered up, it could have been expected that people would no longer be having any sort of active interest in the previous night's noisemakers and paper hats.
We were not, however, prepared for anything like the apparition that confronted us as Felix came up the stairs.
Gen. Felix Huston, challenging each other for the command of the Texas Army ; Johnston refused to fire on Huston and lost the position after he was wounded in the pelvis.
Eastern Tennessee was held for the Confederacy by two unimpressive brigadier generals appointed by Jefferson Davis, Felix Zollicoffer, a brave but untrained and inexperienced officer, and soon to be Maj. Gen. George B. Crittenden, a former U. S. Army officer with apparent alcohol problems.
Antipope Felix II was installed as Pope in 355 after the Emperor Constantius II banished the reigning Pope, Liberius, for refusing to subscribe the sentence of condemnation against Saint Athanasius.
The antipope Felix died, as stated above, on a 22 November, and his death was not a martyr's, occurring when the Peace of Constantine had been in force for half a century.
Bacardi had architects Ludwig Mies Van Der Rohe and Felix Candela design office buildings and a bottling plant for them in Mexico City during the 1950s.
Linebarger also employed the literary pseudonyms " Carmichael Smith " ( for his political thriller Atomsk ), " Anthony Bearden " ( for his poetry ) and " Felix C. Forrest " ( for the novels Ria and Carola ).
However, injuries mounted during the season with the team losing several starters for the year, such as Kyle Kosier, Felix Jones, safety Roy Williams and punter Mat McBriar, and several other starters playing with injuries.
In 1895, as a result of intervention on his behalf by Felix Klein, he obtained the position of Chairman of Mathematics at the University of Göttingen, at that time the best research-center for mathematics in the world.
Slightly larger sextets written for piano, string quartet, and double bass have been written by Felix Mendelssohn, Mikhail Glinka, Richard Wernick, and Charles Ives.
Very shortly after that work was submitted, by March 1918, Felix Hausdorff expanded the definition of " dimension ", significantly for the evolution of the definition of fractals, to allow for sets to have noninteger dimensions.
A recent biography of Mendelssohn's grandson, Felix, describes their friendship as one of the most " illuminating metaphors the clarion call of the Enlightenment for religious tolerance ".
Felix Holt, the Radical and The Legend of Jubal were overtly political, and political crisis is at the heart of Middlemarch, in which she presents the stories of a number of denizens of a small English town on the eve of the Reform Bill of 1832 ; the novel is notable for its deep psychological insight and sophisticated character portraits.
Hausdorff spaces are named for Felix Hausdorff, one of the founders of topology.
The guests in attendance included Aaron's first manager with the Braves, Charlie Grimm, his teammate from Jacksonville, Felix Mantilla, Eau Claire president Ron Berganson, and Del Crandall, the catcher for the 1957 world champion Braves and the-then manager of the Brewers.
In September 1941, the Reich Plenipotentiary for Serbia, Felix Benzler, reported to Ribbentrop that the SS had arrested 8, 000 Serbian Jews, whom they were planning to execute en masse, and asked for permission to try to stop the massacre.
Even the music of the Romantic movement, including Liszt, Chopin, Robert Schumann, Felix Mendelssohn and Johannes Brahms, was written for pianos substantially different from modern pianos.
Already during his governorship Paulinus had developed a fondness for the 3rd century martyr Saint Felix of Nola.
Paulinus wrote an annual hymn ( natalicium ) in honor of St. Felix for the feast day when processions of pilgrims were at their peak.
Its iconography illustrating the donor's career gives an edited version of Pius ' life, passing over his former support of the antipope Felix V. Though Pinturrichio labored for five years, the books never reached their splendid destination ; yet the Piccolomini Library is a monument of the High Renaissance in Siena.

Felix and Riemann
Historically, the concept of fundamental group first emerged in the theory of Riemann surfaces, in the work of Bernhard Riemann, Henri Poincaré and Felix Klein, where it describes the monodromy properties of complex functions, as well as providing a complete topological classification of closed surfaces.
In hyperbolic geometry, the Klein quartic, named after Felix Klein, is a compact Riemann surface of genus 3 with the highest possible order automorphism group for this genus, namely order 168 orientation-preserving automorphisms, and 336 automorphisms if orientation may be reversed.
Bianchi was also greatly influenced by the geometrical ideas of Bernhard Riemann and by the work on transformation groups of Sophus Lie and Felix Klein.

Felix and surfaces
The affine subspaces are model surfaces — they are the simplest surfaces in R < sup > 3 </ sup >, and are homogeneous under the Euclidean group of the plane, hence they are Klein geometries in the sense of Felix Klein's Erlangen programme.
These model surfaces are Klein geometries in the sense of Felix Klein's Erlangen programme.

Felix and algebraic
Several major strands of more abstract mathematics ( including invariant theory, the Italian school of algebraic geometry, and Felix Klein's Erlangen programme leading to the study of the classical groups ) built on projective geometry.
* Felix A. E. Pirani ( gravitational radiation, Petrov / Pirani classification of algebraic properties of Weyl curvature tensor ),

Felix and .
Last week it opened at the J. B. Speed Museum in Louisville, at the very moment that a second Schiele exhibit was being made ready at the Felix Landau gallery in Los Angeles.
In this country, the two guiding lights are, without doubt, Felix Fing and Anna Pulova.
Felix Kopstein states that `` when the snake reaches its maturity it has already reached about its maximal length '', but goes on to cite the reticulate python as an exception, with maximum length approximately three times that at maturity.
Perhaps if Felix had first come upon us when this boy was not cavorting so gaily up and down the hall outside the murdered woman's apartment, we might have had less trouble convincing Felix of our seriousness.
Felix was the exception.
That, incidentally, might give you some idea of what Felix was like.
If Felix was still wearing the hat and carrying the horn because he'd forgotten about them, he now remembered.
Our man stopped dead and glowered at Felix.
Felix threw his head back and laughed a laugh that shook the timbers of even that solidly built old house.
For Felix it was a bit of a stretch to make even that measurement.
`` I try '', Felix said blithely.
Felix is all there is ''.
`` The past I leave to historians '', Felix intoned, demonstrating that he could be pompous as well as happy.
`` In the present '', Felix proclaimed.
Felix asked.
`` Grubb '', Felix whispered.
`` Shh '', Felix implored.
For years it's been just Felix.
This was a broth of a boy, our Felix, and nothing was more obvious than the joy he took in demonstrating how agile he was and how full of juice and spirit.
Felix took us into his studio.
When Felix first opened the door on it, all these shades were tightly drawn and the whole studio was as dark as night.
The new school superintendent is Harry Davis, a veteran agriculture teacher, who defeated Felix Bush, a school principal and chairman of the Miller County Democratic Executive Committee.

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