Examples of using Euler in English and their translations into Vietnamese
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Euler product formula.
Leonhard Euler has shown that.
Euler- Lagrange equation.
Very few of us have the abilities of someone like Euler.
Its Euler characteristic is 1.
People also translate
As promised yesterday,today we will be solving problem 4 of Project Euler.
Euler's Seven Bridges of Königsberg problem was based on the river's bridges in Königsberg, now Kaliningrad.
The use of the Greek letter π to denote the ratio of a circle'scircumference to its diameter was also popularized by Euler, although it originated with Welsh mathematician William Jones.[35].
The first Project Euler problem is If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9.
In 1738, three years after nearly expiring from fever,he became almost blind in his right eye, but Euler rather blamed the painstaking work on cartography he performed for the St. Petersburg Academy for his condition.
If the Euler method is applied to the linear equation y′= k y{\displaystyle y'=ky}, then the numerical solution is unstable if the product h k{\displaystyle hk} is outside the region.
Introduction Graph theory may besaid to have its begin-ning in 1736 when EULER considered the(gen- eral case of the) Königsberg bridge problem: Does there exist a walk crossing each of the?
The Euler characteristic can be defined for connected plane graphs by the same V- E+ F{\displaystyle V-E+F} formula as for polyhedral surfaces, where F is the number of faces in the graph, including the exterior face.
A commonly used[citation needed] model, especially in computational fluid dynamics,is to use two flow models: the Euler equations away from the body, and boundary layer equations in a region close to the body.
In particular, the Euler characteristic of a finite set is simply its cardinality, and the Euler characteristic of a graph is the number of vertices minus the number of edges.[11].
The existence of Earth's free nutation was predicted by Isaac Newton in Corollaries 20 to 22 of Proposition 66, Book 1 of the Philosophiæ Naturalis Principia Mathematica,and by Leonhard Euler in 1765 as part of his studies of the dynamics of rotating bodies.
Noether observed that her idea of a Betti group makes the Euler- Poincaré formula simpler to understand, and Hopf's own work on this subject"bears the imprint of these remarks of Emmy Noether".
Euler worked in almost all areas of mathematics, such as geometry, infinitesimal calculus, trigonometry, algebra, and number theory, as well as continuum physics, lunar theory and other areas of physics.
In St. Petersburg on 18 September 1783, after a lunch with his family,Leonhard Euler was discussing the newly discovered planet Uranus and its orbit with a fellow academician Anders Johan Lexell, when he collapsed from a brain hemorrhage.
Euler was a simple, devoutly religious man who never questioned the existing social order or conventional beliefs, in many ways the polar opposite of Voltaire, who enjoyed a high place of prestige at Frederick's court.
In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic(or Euler number, or Euler- Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.
Euler devised a specific graph, the Speculum musicum, to illustrate the diatonico-chromatic genre, and discussed paths in this graph for specific intervals, recalling his interest in the Seven Bridges of Königsberg(see above).
China's double digit increase in corporate defaults this year will"result on one hand from the ongoing softening and adjustments of the Chinese economy, notably in regards to credit growth,Belt and Road Initiative and international trade issues," the Euler report stressed.
Started by Leonhard Euler and studied for 250 years as a purely theoretical discipline, it has in the last two decades found applications in areas as diverse as genetics, the study of galaxy formation and robotics.
Do you want to develop a child's way of thinking and a flexible logic- give him a good charge for the mind in the form of a variety of logical tasks, for which you need to use different logical laws and methods of solution(method end table method,using graphs or Euler diagram and so on. d.).
Euler first published a proof in 1736 in a paper entitled"Theorematum Quorundam ad Numeros Primos Spectantium Demonstratio", but Leibniz left virtually the same proof in an unpublished manuscript from sometime before 1683.
The early history of astronautics is theoretical: the fundamental mathematics of space travel was established by Isaac Newton in his 1687 treatise Philosophiae Naturalis Principia Mathematica.[6] Other mathematicians,such as Swiss Leonhard Euler and Franco-Italian Joseph Louis Lagrange also made essential contributions in the 18th and 19th centuries.
Solved the end, with the help of tables, lines, graphs or Euler circles- it's not all a variety of logical tasks, the solution of which activated all sorts of mental operations and develop creative, thinking outside the box.
The number e is occasionally called Euler's number after the Swiss mathematician Leonhard Euler, or Napier's constant in honor of the Scottish mathematician John Napier who introduced logarithms.(e is not to be confused with γ- the Euler- Mascheroni constant, sometimes called simply Euler's constant.).