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For example, the number of times a given polynomial has a root at a given point is the multiplicity of that root. The notion of multiplicity is important to be able to count correctly without specifying exceptions (for example, double roots counted twice). Hence the expression, "counted with multiplicity".
Fold mountains form in areas of thrust tectonics, such as where two tectonic plates move towards each other at convergent plate boundary.When plates and the continents riding on them collide or undergo subduction (that is – ride one over another), the accumulated layers of rock may crumple and fold like a tablecloth that is pushed across a table, particularly if there is a mechanically weak ...
Zard-Kuh, a fold mountain in the central Zagros range of Iran. When plates collide or undergo subduction (that is, ride one over another), the plates tend to buckle and fold, forming mountains. While volcanic arcs form at oceanic-continental plate boundaries, folding occurs at continental-continental plate boundaries.
This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...
In the south a fold and thrust belt exists as sediments are folded and stacked (thrust) on top of the other. An example of thin-skinned thrusting in Montana . The white Madison Limestone is repeated, with one example in the foreground (that pinches out with distance) and another to the upper right corner and top of the picture.
There are eight ways to fold a 2 × 2 map along its creases, counting each different vertical sequence of folded squares as a distinct way of folding the map: [5] However, the general problem of counting the number of ways to fold a map remains unsolved. The numbers of ways of folding an n × n map are known only for n ≤ 7. They are:
In mathematics, Serre's multiplicity conjectures, named after Jean-Pierre Serre, are certain problems in commutative algebra, motivated by the needs of algebraic geometry. Since André Weil 's initial definition of intersection numbers , around 1949, there had been a question of how to provide a more flexible and computable theory, which Serre ...
This terminology is also used with units of measurement (for example by the BIPM [2] and NIST [3]), where a unit submultiple is obtained by prefixing the main unit, defined as the quotient of the main unit by an integer, mostly a power of 10 3. For example, a millimetre is the 1000-fold submultiple of a metre.