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The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.
A specific property is the intensive property obtained by dividing an extensive property of a system by its mass. For example, heat capacity is an extensive property of a system. Dividing heat capacity, , by the mass of the system gives the specific heat capacity, , which is an intensive property. When the extensive property is represented by ...
When the population is above the carrying capacity it decreases, and when it is below the carrying capacity it increases. The Verhulst equation is a first-order ordinary differential equation . Combined with an initial value N = N 0 {\displaystyle N=N_{0}} for the population at time t = 0 {\displaystyle t=0} , the solution takes the form of the ...
An extrinsic property is not essential or inherent to the subject that is being characterized. For example, mass is an intrinsic property of any physical object , whereas weight is an extrinsic property that depends on the strength of the gravitational field in which the object is placed.
Volume can also be added together and be decomposed indefinitely; the latter property is integral to Cavalieri's principle and to the infinitesimal calculus of three-dimensional bodies. [14] A 'unit' of infinitesimally small volume in integral calculus is the volume element ; this formulation is useful when working with different coordinate ...
Mathematical and theoretical biology, or biomathematics, is a branch of biology which employs theoretical analysis, mathematical models and abstractions of living organisms to investigate the principles that govern the structure, development and behavior of the systems, as opposed to experimental biology which deals with the conduction of ...
Heat capacity or thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to an object to produce a unit change in its temperature. [1] The SI unit of heat capacity is joule per kelvin (J/K). Heat capacity is an extensive property.
Global biocapacity' is a term sometimes used to describe the total capacity of an ecosystem to support various continuous activity and changes. When the ecological footprint of a population exceeds the biocapacity of the environment it lives in, this is called an 'biocapacity deficit'. Such a deficit comes from three sources: overusing one's ...