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  2. Population density - Wikipedia

    en.wikipedia.org/wiki/Population_density

    Population density is the number of people per unit of area, usually transcribed as "per square kilometer" or square mile, and which may include or exclude, for example, areas of water or glaciers. Commonly this is calculated for a county, city, country, another territory or the entire world . The world's population is around 8,000,000,000 [3 ...

  3. Population dynamics - Wikipedia

    en.wikipedia.org/wiki/Population_dynamics

    Population dynamics has traditionally been the dominant branch of mathematical biology, which has a history of more than 220 years, [1] although over the last century the scope of mathematical biology has greatly expanded. [citation needed] The beginning of population dynamics is widely regarded as the work of Malthus, formulated as the ...

  4. Lotka–Volterra equations - Wikipedia

    en.wikipedia.org/wiki/Lotka–Volterra_equations

    This modelling problem has been called the "atto-fox problem", an atto-fox being a notional 10 −18 of a fox. A density of 10 −18 foxes per square kilometre equates to an average of approximately 5×10 −10 foxes on the surface of the earth, which in practical terms means that foxes are extinct. Hamiltonian structure of the system

  5. Choropleth map - Wikipedia

    en.wikipedia.org/wiki/Choropleth_map

    A choropleth map (from Ancient Greek χῶρος (khôros) 'area, region', and πλῆθος (plêthos) 'multitude') is a type of statistical thematic map that uses pseudocolor, meaning color corresponding with an aggregate summary of a geographic characteristic within spatial enumeration units, such as population density or per-capita income.

  6. Population balance equation - Wikipedia

    en.wikipedia.org/wiki/Population_balance_equation

    Population balance equation. Population balance equations (PBEs) have been introduced in several branches of modern science, mainly in Chemical Engineering, [1] to describe the evolution of a population of particles. This includes topics like crystallization, [2] leaching (metallurgy), [3] [4] liquid–liquid extraction, gas-liquid dispersions ...

  7. Malthusian growth model - Wikipedia

    en.wikipedia.org/wiki/Malthusian_growth_model

    A Malthusian growth model, sometimes called a simple exponential growth model, is essentially exponential growth based on the idea of the function being proportional to the speed to which the function grows. The model is named after Thomas Robert Malthus, who wrote An Essay on the Principle of Population (1798), one of the earliest and most ...

  8. Hypergeometric distribution - Wikipedia

    en.wikipedia.org/wiki/Hypergeometric_distribution

    The probability of a success changes on each draw, as each draw decreases the population ( sampling without replacement from a finite population). A random variable follows the hypergeometric distribution if its probability mass function (pmf) is given by [1] where. is a binomial coefficient.

  9. Disk (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Disk_(mathematics)

    Disk (mathematics) In geometry, a disk ( also spelled disc) [1] is the region in a plane bounded by a circle. A disk is said to be closed if it contains the circle that constitutes its boundary, and open if it does not. [2] For a radius, , an open disk is usually denoted as and a closed disk is . However in the field of topology the closed disk ...

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