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[254] [255] There are small pockets of molten rock in the upper mantle, but these make up a tiny fraction of the mantle's volume. [256] The Earth's outer core is liquid, but it is liquid metal, not rock. [257] The Amazon rainforest does not provide 20% of Earth's oxygen. This is a misinterpretation of a 2010 study which found that approximately ...
A mathematical coincidence often involves an integer, and the surprising feature is the fact that a real number arising in some context is considered by some standard as a "close" approximation to a small integer or to a multiple or power of ten, or more generally, to a rational number with a small denominator.
In mathematics, the supersilver ratio is a geometrical proportion close to 75/34. Its true value is the real solution of the equation x 3 = 2 x 2 + 1. The name supersilver ratio results from analogy with the silver ratio , the positive solution of the equation x 2 = 2 x + 1 , and the supergolden ratio .
Approximating an irrational number by a fraction π: 22/7 1-digit-denominator Approximating a rational number by a fraction with smaller denominator 399 / 941 3 / 7 1-digit-denominator Approximating a fraction by a fractional decimal number: 5 / 3 1.6667: 4 decimal places: Approximating a fractional decimal number by one with fewer digits 2.1784
The mole (symbol mol) is a unit of measurement, the base unit in the International System of Units (SI) for amount of substance, an SI base quantity proportional to the number of elementary entities of a substance.
the form of invariant theory that deals with describing polynomial functions that are invariant under transformations from a given linear group. Classical mathematics the standard approach to mathematics based on classical logic and ZFC set theory. Classical projective geometry Classical tensor calculus Clifford algebra Clifford analysis
The Baire category theorem (BCT) is an important result in general topology and functional analysis.The theorem has two forms, each of which gives sufficient conditions for a topological space to be a Baire space (a topological space such that the intersection of countably many dense open sets is still dense).
Every non-zero element x of R can be written in the form αt k with α a unit in R and k≥0, both uniquely determined by x. The valuation is given by ν ( x ) = kv ( t ). So to understand the ring completely, one needs to know the group of units of R and how the units interact additively with the powers of t .
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