How To Use Euler In A Sentence

A simple formula for ray path is derived from the Euler equation in continuous stratified medium.

An important part of von EulerChelpin's work was done in collaboration with K. Josephson on the enzymes saccharase and catalase.
Hans von EulerChelpin  Biography

He considered the Euler angles and studied rotational problems which were motivated by the problem of the precession of the equinoxes.

Undersökningar, _ presented to the Stockholm Academy in 1853, he not only pointed out that the electric spark yields two superposed spectra, one from the metal of the electrode and the other from the gas in which it passes, but deduced from Euler's theory of resonance that an incandescent gas emits luminous rays of the same refrangibility as those which it can absorb.
Encyclopaedia Britannica, 11th Edition, Volume 2, Part 1, Slice 1

Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup.

Comme je ne repondais pas parce que tout simplement je n'y arrivais pas j'avais les yeux ouvert je vois clairement le plafond mais impossible de reagir ... alors j'entends mon pere qui crie 'alors tu bouges?? on t'a appelé' et la pouf enfin mon corps reagis ... alors j'hurle 'Oui ben c bon j'ai entendu pas besoin d'gueuler!!' avec mon super ton aimable qui dit a mes parents que je vais super bien!
Pinkutk Diary Entry

S. von Euler, A specific sympathomimetic ergone in adrenergic nerve fibers (sympathin) and its relations to adrenaline and noradrenaline, Acta Physiologica Scandinavica 12 (1946): 7397.
Alcohol and The Addictive Brain

Harden and Young also demonstrated that the process stops before all sugar (glucose) has been used up, but it starts again on addition of inorganic phosphate, and they suggested that hexose phosphates are formed in the early steps of fermentation. von Euler had done important work on the structure of cozymase, shown to be nicotinamide adenine dinucleotide (NAD, earlier called DPN).
The Nobel Prize in Chemistry: The Development of Modern Chemistry

Most of his papers are solutions to problems posed by Euler on spherical geometry, trigonometry, series, differential geometry and differential equations.

The proof of Euler's theorem actually gives us a way of solving the maze.

He added his approval to the proposed monetary awards for Leonhard Euler and the widow of Tobias Mayer.

Euler asserts that the sum of the harmonic series equals the natural logarithm of infinity plus a quantity that is nearly a constant.

I consider the inviscid NavierStokes Eulerian equations as the basic
Exponential Growth in Physical Systems #2 « Climate Audit

The researches of von Euler and his pupils have further led to the concentration of the cozymase and to a far more exact study of its properties than had been previously possible.
Nobel Prize in Chemistry 1929  Presentation Speech

Euler here also begins developing the kinematics and dynamics of rigid bodies, introducing in part the differential equations for their motion.

What we call Newtonian mechanics was accordingly something for which Euler was more responsible than Newton.
Isaac Newton

The thesis contains a different proof of the fact just shown by Lefschetz that for any closed manifold the sum of the indices of a generic vector field is a topological invariant, namely the Euler characteristic.

Euler asserts that the sum of the harmonic series equals the natural logarithm of infinity plus a quantity that is nearly a constant.

He added his approval to the proposed monetary awards for Leonhard Euler and the widow of Tobias Mayer.

They learned of each other's discoveries because each of them communicated his work to James Stirling, whose approximation for the factorial is a special case of the EulerMaclaurin summation.

Conservation of mass, second Newton's law, and momentum law are introduced into traffic flow to set up traffic continuity equation, Euler's equation, and momentum integral equation.

A diamond to the clever math nerds who, The Herald reported this week, call their intramural hockey team "the Eulers," after the famous mathematical thinker and the NHLers from Edmonton.
The Brown Daily Herald RSS

In 1767 Leonhard Euler proved that for all triangles the orthocenter, the circumcenter, the centroid and the center of the midcircle are always on the same line.
HERE’S LOOKING AT EUCLID

The thesis contains a proof of the fact that for any closed manifold the sum of the indices of a generic vector field is a topological invariant, namely the Euler characteristic.

The law of psychic ambivalence and ambitendency, as so nicely developed by Bleuler,21 here shows itself in marked degree.
The Journal of Abnormal Psychology

To develop a functional lysin, Fischetti's team, including Anu Daniel and Chad Euler, a former postdoc and a senior graduate fellow in the lab, respectively, took advantage of the modular nature of lysins.
PhysOrg.com  latest science and technology news stories

By the study of the harmonic series and related sums, Euler systematically developed an important method of summation of series which is now known as EulerMaclaurin summation.

Synergism between a novel chimeric lysin and oxacillin protects against infection by methicillinresistant Staphylococcus aureus, A.u Daniel, Chad Euler, Mattias Collin, Peter Chahales, Kenneth Gorelick and Vincent A. Fischetti
PhysOrg.com  latest science and technology news stories

Tip: E is the Euler's constant, which is the base of natural logarithms ( approximately 2.7183 ) .

Gasphase field and discrete particle field are treated respectively by a Eulerian method and a Lagrangian one.

He added his approval to the proposed monetary awards for Leonhard Euler and the widow of Tobias Mayer.

In 1765, Euler decomposed the motion of a solid into a rectilinear motion and a rotational motion.

Bleuler believed, however, that the term dementia praecox was too specific and did not always fit the clinical course, which he believed more variable than originally described.
The Neuropsychiatric Guide to Modern Everyday Psychiatry

Bleuler has used the term ambivalent, thus comparing these individuals to a chemical element having two bonds and impelled to unite with two substances.
The Foundations of Personality

When Harald Euler and Barbara Weitzel asked adults to think back about their childhood and report how they were treated by their grandparents, they found that most people remembered kinder, more protective treatment from their maternal grandmothers than from their other grandparents.
Red Flags or Red Herrings?

Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup.

His publications include a biography of Leonhard Euler and a booklet on mathematical proofs.

Finding a Eulerian path in a directed graph is harder. Consult Sedgewick if you are interested.

Gimbal lock is a phenomenon that easily affects Euler angle representations.

Alas, Bleuler's views were largely neglected, probably because schizophrenic patients with negative symptoms (such as affect, anergia, apathy) make it easy to assume that they have underdeveloped emotional experiences.

In that same year, W. B. Cannon found an accelerator substance released by the sympathetic nerves, and called it sympathin.5 It was later shown by U.S. von Euler to be a combination of epinephrine and a similar substance called norepinephrine.6 Cannon went on to characterize the function of the sympathetic (norepinephrine) and parasympathetic (acetylcholine) divisions of the autonomic nervous system.
Alcohol and The Addictive Brain

Harden and Young also demonstrated that the process stops before all sugar (glucose) has been used up, but it starts again on addition of inorganic phosphate, and they suggested that hexose phosphates are formed in the early steps of fermentation. von Euler had done important work on the structure of cozymase, shown to be nicotinamide adenine dinucleotide (NAD, earlier called DPN).
The Nobel Prize in Chemistry: The Development of Modern Chemistry

Gauss in 1801 was to take Euler's work much further and gives a considerable amount of work on modular arithmetic which amounts to a fair amount of theory of abelian groups.

In addition to this expressive limitation, Euler's system also suffers other kinds of expressive limitations with respect to nonempty sets, due to topological restrictions on plane figures.

This prize was jointly awarded to Maclaurin, Euler and Daniel Bernoulli, bracketing Maclaurin with the top two mathematicians of his day.

The literature's first mention of compulsive buying was in the early 1900s by two of Freud's disciples, Eugene Bleuler and Emil Kraepelin, who coined the term oniomania  from the Greek root "onios," which means for sale  to refer to those obsessed with making purchases.
NYT > Global Home

Eugene Bleuler accepted much of Kraepelin’s thinking and, in fact, applied the term schizophrenia to the disorder to imply that a schism or splitting of the various psychic functions “was one of the most outstanding characteristics” Arieti, 1974, p. 13 of the disease.
Clinical Work with Adolescents

The CSA orientation is described by two Euler angles alpha and Beta, whereas the third angle gamma is evenly distributed about the sample normal.

The Swiss mathematician Leonhard Euler had proved that a geodesic structure must contain 12 pentagons to close into a spheroid, although the number of hexagons may vary.

They learned of each other's discoveries because each of them communicated his work to James Stirling, whose approximation for the factorial is a special case of the EulerMaclaurin summation.

Of course you never know you look like Leonhard Euler until some stogy algebra professor comes up to you when you're an undergraduate and says, “You know, you look just like Leonhard Euler.”
Don't Forget the Sun

However, the EighteenthCentury defenders of the incompetence of both Descartes and Newton, such as de Moivre, D'Alembert, Euler, and Lagrange, claimed to have proven their case against Leibniz, by simply accepting de Moivre's proposal that they agree to denounce what they termed, fraudulently, as "imaginary" roots of the relevant cubic and biquadratic functions.
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Euler starts with an nth degree polynomial p with the following properties.

However, he also edited the collected works of Christoffel and volumes 14, 15, 16 of Euler's collected works.

Harden and Young also demonstrated that the process stops before all sugar (glucose) has been used up, but it starts again on addition of inorganic phosphate, and they suggested that hexose phosphates are formed in the early steps of fermentation. von Euler had done important work on the structure of cozymase, shown to be nicotinamide adenine dinucleotide (NAD, earlier called DPN).
The Nobel Prize in Chemistry: The Development of Modern Chemistry