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  2. Geometric mean - Wikipedia

    en.wikipedia.org/wiki/Geometric_mean

    The geometric mean of growth over periods yields the equivalent constant growth rate that would yield the same final amount. As an example, suppose an orange tree yields 100 oranges one year and then 180, 210 and 300 the following years, for growth rates of 80%, 16.7% and 42.9% respectively.

  3. Table of mathematical symbols by introduction date - Wikipedia

    en.wikipedia.org/wiki/Table_of_mathematical...

    Download as PDF; Printable version; In other projects ... 1940 (in the present form of f: ... Math Symbols List;

  4. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.

  5. Atlas (topology) - Wikipedia

    en.wikipedia.org/wiki/Atlas_(topology)

    A transition map provides a way of comparing two charts of an atlas. To make this comparison, we consider the composition of one chart with the inverse of the other. This composition is not well-defined unless we restrict both charts to the intersection of their domains of definition. (For example, if we have a chart of Europe and a chart of ...

  6. One-form (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/One-form_(differential...

    The most basic non-trivial differential one-form is the "change in angle" form . This is defined as the derivative of the angle "function" θ ( x , y ) {\\displaystyle \\theta (x,y)} (which is only defined up to an additive constant), which can be explicitly defined in terms of the atan2 function.

  7. Foundations of geometry - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_geometry

    The term axiomatic geometry can be applied to any geometry that is developed from an axiom system, but is often used to mean Euclidean geometry studied from this point of view. The completeness and independence of general axiomatic systems are important mathematical considerations, but there are also issues to do with the teaching of geometry ...

  8. Christoffel symbols - Wikipedia

    en.wikipedia.org/wiki/Christoffel_symbols

    In mathematics and physics, the Christoffel symbols are an array of numbers describing a metric connection. [1] The metric connection is a specialization of the affine connection to surfaces or other manifolds endowed with a metric, allowing distances to be measured on that surface.

  9. Mathematical Alphanumeric Symbols - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Alphanumeric...

    In the code charts for the Unicode Standard, the reserved code points corresponding to the pink cell are annotated with the name and code point of the correct character. [5] There are a few characters which have names that suggest that they should belong in the tables below, but in fact do not because their official character names are misnomers: