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where x and y are real numbers and the hyperbolic unit [1] j satisfies = + In the field of complex numbers the imaginary unit i satisfies = The change of sign distinguishes the split-complex numbers from the ordinary complex ones. The hyperbolic unit j is not a real number but an independent quantity.
Every vector a in three dimensions is a linear combination of the standard basis vectors i, j and k.. In mathematics, the standard basis (also called natural basis or canonical basis) of a coordinate vector space (such as or ) is the set of vectors, each of whose components are all zero, except one that equals 1. [1]
When more precision is needed, katastarsko jutro (meaning cadastral jutro) is used, that equals exactly 0.5754642 hectares [1] (5,754.642 square meters). Other historical units that are sometimes used to measure surface together with the square hvat are: dulum; one dulum equals 1,000 square meters. [1] šinik; one šinik equals 1,000 square ...
In Cartesian coordinates, the divergence of a continuously differentiable vector field = + + is the scalar-valued function: = = (, , ) (, , ) = + +.. As the name implies, the divergence is a (local) measure of the degree to which vectors in the field diverge.
In electromagnetism, current density is the amount of charge per unit time that flows through a unit area of a chosen cross section. [1] The current density vector is defined as a vector whose magnitude is the electric current per cross-sectional area at a given point in space, its direction being that of the motion of the positive charges at this point.
Melton averaged 10.3 points and 3.3 rebounds per game with the Warriors this season, his first with the team. He signed a one-year, $12.8 million deal with the team this past offseason after he ...
The US will honor the late former President Jimmy Carter, who died at age 100 on December 29. President Joe Biden declared January 9 as a day of mourning in an executive order – the same day as ...
For a vector field F : U ⊆ R 2 → R 2, the line integral along a piecewise smooth curve C ⊂ U, in the direction of r, is defined as