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  2. Exponential decay - Wikipedia

    en.wikipedia.org/wiki/Exponential_decay

    Exponential decay is a scalar multiple of the exponential distribution (i.e. the individual lifetime of each object is exponentially distributed), which has a well-known expected value. We can compute it here using integration by parts .

  3. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    Tetration is iterated exponentiation (call this right-associative operation ^), starting from the top right side of the expression with an instance a^a (call this value c). Exponentiating the next leftward a (call this the 'next base' b), is to work leftward after obtaining the new value b^c. Working to the left, consume the next a to the left ...

  4. Technological singularity - Wikipedia

    en.wikipedia.org/wiki/Technological_singularity

    TRL. Technology scouting. v. t. e. The technological singularity —or simply the singularity [1] —is a hypothetical future point in time at which technological growth becomes uncontrollable and irreversible, resulting in unforeseeable consequences for human civilization. [2] [3] According to the most popular version of the singularity ...

  5. Malthusianism - Wikipedia

    en.wikipedia.org/wiki/Malthusianism

    Malthusianism. Malthusianism is the theory that population growth is potentially exponential, according to the Malthusian growth model, while the growth of the food supply or other resources is linear, which eventually reduces living standards to the point of triggering a population decline. This event, called a Malthusian catastrophe (also ...

  6. Growth rate (group theory) - Wikipedia

    en.wikipedia.org/wiki/Growth_rate_(group_theory)

    Growth rate (group theory) In the mathematical subject of geometric group theory, the growth rate of a group with respect to a symmetric generating set describes how fast a group grows. Every element in the group can be written as a product of generators, and the growth rate counts the number of elements that can be written as a product of ...

  7. Half-life - Wikipedia

    en.wikipedia.org/wiki/Half-life

    Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential (or, rarely ...

  8. Exponential - Wikipedia

    en.wikipedia.org/wiki/Exponential

    Exponential may refer to any of several mathematical topics related to exponentiation, including: Exponential function, also: Matrix exponential, the matrix analogue to the above. Exponential decay, decrease at a rate proportional to value. Exponential discounting, a specific form of the discount function, used in the analysis of choice over time.

  9. Combinatorial explosion - Wikipedia

    en.wikipedia.org/wiki/Combinatorial_explosion

    In mathematics, a combinatorial explosion is the rapid growth of the complexity of a problem due to how the combinatorics of the problem is affected by the input, constraints, and bounds of the problem. Combinatorial explosion is sometimes used to justify the intractability of certain problems. [1] [2] Examples of such problems include certain ...