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Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The n th triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers, starting with the 0th triangular number, is
[39] [40] The factorial number system is a mixed radix notation for numbers in which the place values of each digit are factorials. [41] Factorials are used extensively in probability theory, for instance in the Poisson distribution [42] and in the probabilities of random permutations. [43]
The simplified form of Bernoulli's equation can be summarized in the following memorable word equation: [1]: § 3.5 Static pressure + Dynamic pressure = Total pressure. Every point in a steadily flowing fluid, regardless of the fluid speed at that point, has its own unique static pressure p and dynamic pressure q .
In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming. [1]The name of the algorithm is derived from the concept of a simplex and was suggested by T. S. Motzkin. [2]
In field theory, the independent variable is replaced by an event in spacetime (x, y, z, t), or more generally still by a point s on a Riemannian manifold.The dependent variables are replaced by the value of a field at that point in spacetime (,,,) so that the equations of motion are obtained by means of an action principle, written as: =, where the action, , is a functional of the dependent ...
From 2006 to 2009, the Toyota Racing Formula One team cars were powered by 2.4 L (146 cu in) naturally-aspirated V8 engines, as mandated by the Formula One rules. These Toyota engines were rated to produce 559 kW (750 hp) at 19,000 rpm (552 kW (740 hp) at 18,000 rpm for 2009) and were also used by the Williams , Midland, and Jordan teams.
The gross world product (GWP), also known as gross world income (GWI), [1] is the combined gross national income (previously, the "gross national product") of all the countries in the world.
In an attempt to reduce the number of overdoses from taking other drugs mixed with fentanyl, drug testing kits, strips, and labs are available. [ 28 ] [ 29 ] Fentanyl's ease of manufacture and high potency makes it easier to produce and smuggle , resulting in fentanyl replacing other abused narcotics and becoming more widely used.