In physics, angular momentum is the rotational analog of linear momentum. It is an important physical quantity because it is a conserved quantity – the total angular momentum of a closed system remains constant. Angular momentum has both a direction and a magnitude, and both are conserved. Bicycles and motorcycles, flying discs, rifled bullets, and gyroscopes owe their useful properties to conservation of angular momentum. Conservation of angular momentum is also why hurricanes form spirals and neutron stars have high rotational rates. In general, conservation limits the possible motion of a system, but it does not uniquely determine it.
In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. It generalizes a circle, which is the special type of ellipse in which the two focal points are the same. The elongation of an ellipse is measured by its eccentricity , a number ranging from to .
In physics, the kinetic energy of an object is the form of energy that it possesses due to its motion.
In Newtonian mechanics, momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction. If m is an object's mass and v is its velocity, then the object's momentum p is:
In physics, power is the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt, equal to one joule per second. In older works, power is sometimes called activity. Power is a scalar quantity.
In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There are many types of tensors, including scalars and vectors, dual vectors, multilinear maps between vector spaces, and even some operations such as the dot product. Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system; those components form an array, which can be thought of as a high-dimensional matrix.
The Bernese Alps are a mountain range of the Alps, located in western Switzerland. Although the name suggests that they are located in the Berner Oberland region of the canton of Bern, portions of the Bernese Alps are in the adjacent cantons of Valais, Fribourg and Vaud, the latter being usually named Fribourg Alps and Vaud Alps respectively. The highest mountain in the range, the Finsteraarhorn, is also the highest point in the canton of Bern.
The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. Its discovery was a significant landmark in the development of quantum mechanics. It is named after Erwin Schrödinger, who postulated the equation in 1925 and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933.
In biochemistry, Michaelis–Menten kinetics, named after Leonor Michaelis and Maud Menten, is the simplest case of enzyme kinetics, applied to enzyme-catalysed reactions of one substrate and one product. It takes the form of a differential equation describing the reaction rate to , the concentration of the substrate A. Its formula is given by the Michaelis–Menten equation:
Time dilation is the difference in elapsed time as measured by two clocks, either because of a relative velocity between them, or a difference in gravitational potential between their locations. When unspecified, "time dilation" usually refers to the effect due to velocity.
The Kleine Scheidegg is a mountain pass at an elevation of 2,061 m (6,762 ft), situated below and between the Eiger and Lauberhorn peaks in the Bernese Oberland region of Switzerland. The name means "minor watershed", as it only divides the two arms of the Lütschine river, both converging at Zweilütschinen, while the nearby Grosse Scheidegg divides the Lütschine from the Rychenbach stream.
In linear algebra, it is often important to know which vectors have their directions unchanged by a given linear transformation. An eigenvector or characteristic vector is such a vector. Thus an eigenvector of a linear transformation is scaled by a constant factor when the linear transformation is applied to it: . The corresponding eigenvalue, characteristic value, or characteristic root is the multiplying factor .
In electrical engineering, a capacitor is a device that stores electrical energy by accumulating electric charges on two closely spaced surfaces that are insulated from each other. The capacitor was originally known as the condenser, a term still encountered in a few compound names, such as the condenser microphone. It is a passive electronic component with two terminals.
The Schynige Platte is a small mountain ridge and a viewpoint in the Bernese Highlands and belongs to the Schwarzhorn group. The mountain range consists of three peaks: Gumihorn, Tuba, and the closest summit next to the viewpoint, Geiss. The viewpoint lies at an altitude of about 2,000 metres (7,000 ft), at the western end of a prominent ridge of the Schwarzhorn group, which separates the valley of the Schwarze Lütschine from Lake Brienz.
The Lauterbrunnen Wall is a term used in the English-speaking mountaineering world to refer to a north-west-facing mountain wall in the Bernese Alps in Switzerland. It runs for 8 kilometres from the Gletscherhorn in the east, through the Ebnefluh,, the Mittaghorn (3,897m) and the Grosshorn, to the Breithorn in the west, where the wall comes to an end at the col which separates it from the Tschingelhorn. The Wall is named after the village of Lauterbrunnen, which lies to the north.
The Mittaghorn is a mountain of the Bernese Alps, overlooking the Rawil Pass on the border between the cantons of Bern and Valais. It is located east of the Wildhorn.
The Gross Lohner, is a limestone mountain of the Bernese Alps, located between Adelboden and Kandersteg in the Bernese Oberland. The main summit has an elevation of 3,048.7 metres (10,002 ft) above sea level and is distinguished by the name Vorder Lohner. The mountain features several other peaks, from east to west:
The Lötschenlücke is a high mountain pass of the Bernese Alps, connecting the Lötschental to the valley of the Aletsch Glacier in the canton of Valais. Both sides of the pass are covered by glaciers: the Langgletscher on the west and the Grosser Aletschfirn on the east. The Lötschenlücke lies between the Mittaghorn on the north and the Sattelhorn on the south.
The Hollandia Hut is a mountain hut of the Swiss Alpine Club, located east of Blatten in the canton of Valais. The hut lies at a height of 3,240 metres above sea level, just above the Lötschenlücke, the glacier pass connecting the Lötschental from the Aletsch Glacier. All accesses to the hut involve glacier crossing.
The Rappehorn is a mountain of the Lepontine Alps, located in the canton of Valais, west of the Blinnenhorn.
