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The following list is composed of items, techniques and processes that were invented by or discovered by people from Switzerland.
Leonhard Euler's work:
Jacob Bernoulli's work:
Nicolaus I Bernoulli's s contributions:
Nicolaus II Bernoulli's contribution:
Daniel Bernoulli's contributions:
Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, one has where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively. This complex exponential function is sometimes denoted cis x. The formula is still valid if x is a complex number, and is also called Euler's formula in this more general case.
The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function. It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted . Alternatively, e can be called Napier's constant after John Napier. The Swiss mathematician Jacob Bernoulli discovered the constant while studying compound interest.
Leonhard Euler was a Swiss mathematician, physicist, astronomer, geographer, logician, and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function. He is also known for his work in mechanics, fluid dynamics, optics, astronomy, and music theory.
The calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers. Functionals are often expressed as definite integrals involving functions and their derivatives. Functions that maximize or minimize functionals may be found using the Euler–Lagrange equation of the calculus of variations.
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.
Euler–Bernoulli beam theory is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case corresponding to small deflections of a beam that is subjected to lateral loads only. By ignoring the effects of shear deformation and rotatory inertia, it is thus a special case of Timoshenko–Ehrenfest beam theory. It was first enunciated circa 1750, but was not applied on a large scale until the development of the Eiffel Tower and the Ferris wheel in the late 19th century. Following these successful demonstrations, it quickly became a cornerstone of engineering and an enabler of the Second Industrial Revolution.
Aurel Boleslav Stodola was a Slovak engineer, physicist, and inventor. He was a pioneer in the area of technical thermodynamics and its applications and published his book Die Dampfturbine in 1903. In addition to the thermodynamic issues involved in turbine design the book discussed aspects of fluid flow, vibration, stress analysis of plates, shells and rotating discs and stress concentrations at holes and fillets. Stodola was a professor of mechanical engineering at the Swiss Polytechnical Institute in Zurich. He maintained friendly contact with Albert Einstein. In 1892, Stodola founded the Laboratory for Energy Conversion.
Brown, Boveri & Cie. was a Swiss group of electrical engineering companies. It was founded in Baden bei Zürich, in 1891 by Charles Eugene Lancelot Brown and Walter Boveri who worked at the Maschinenfabrik Oerlikon. In 1970 BBC took over the Maschinenfabrik Oerlikon and in 1988 it merged with ASEA to form ABB.
In mathematics and statistics, sums of powers occur in a number of contexts:
The Timoshenko–Ehrenfest beam theory was developed by Stephen Timoshenko and Paul Ehrenfest early in the 20th century. The model takes into account shear deformation and rotational bending effects, making it suitable for describing the behaviour of thick beams, sandwich composite beams, or beams subject to high-frequency excitation when the wavelength approaches the thickness of the beam. The resulting equation is of 4th order but, unlike Euler–Bernoulli beam theory, there is also a second-order partial derivative present. Physically, taking into account the added mechanisms of deformation effectively lowers the stiffness of the beam, while the result is a larger deflection under a static load and lower predicted eigenfrequencies for a given set of boundary conditions. The latter effect is more noticeable for higher frequencies as the wavelength becomes shorter, and thus the distance between opposing shear forces decreases.
Science and technology in Switzerland play an important role in the Swiss economy, which has very few natural resources that are available in the country. The Swiss National Science Foundation, mandated by the Federal government, is the most important institute for promoting scientific research.
Maschinenfabrik Oerlikon was a Swiss engineering company based in the Zürich district of Oerlikon known for the early development of electric locomotives. It was founded in 1876 as the Werkzeug- und Maschinen-Fabrik Oerlikon by the industrialist Peter Emil Huber-Werdmüller, and occupied a large site immediately to the west of Oerlikon railway station.
Gustav Guanella was a Swiss inventor who held numerous patents.
Alfred Büchi was a Swiss engineer and inventor. He was best known as the inventor of turbocharging. Büchi was born July 11, 1879, in Winterthur, Switzerland, growing up there and in Ludwigshafen. He was the son of Johann Büchi, a chief executive at Swiss industrial engineering and manufacturing firm Sulzer.
Charles Brown was a British industrialist, inventor and engineer. He founded the Swiss Locomotive and Machine Works (SLM), and was an engineer and executive of Sulzer and Maschinenfabrik Oerlikon.
Baron Patrice Lancelot "David" de Pury colloquially David de Pury was a Swiss businessman and diplomat. He was the Swiss trade ambassador, representing Swiss interests at the General Agreement on Tariffs & Trade and at the Inter-American Development Bank. He was the chair of ABB, and chair and publisher of Le Temps.
Peter J. Wild is a Swiss electronics engineer and a pioneer of liquid-crystal display (LCD) technology.
The Neuchâtel gas turbine is the world's first electric power-generating gas turbine to go into commercial operation. It was designed and constructed by Brown, Boveri & Cie and installed in 1939 at the municipal power station in Neuchâtel, Switzerland. The gas turbine was in service as a standby unit from 1940 until its retirement in 2002.
Sidney William Brown was a Swiss industrialist, engineer and art collector who was primarily known for his collection of French Impressionists such as Eugène Boudin, Paul Cézanne, Paul Gauguin, Camille Pissarro and Pierre-Auguste Renoir.
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