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In contrast, the function : defined by () = whenever is a rational number and () = whenever is an irrational number is nowhere quasi-continuous, since every nonempty open set contains some , with | () | =.
Also acid ionization constant or acidity constant. A quantitative measure of the strength of an acid in solution expressed as an equilibrium constant for a chemical dissociation reaction in the context of acid-base reactions. It is often given as its base-10 cologarithm, p K a. acid–base extraction A chemical reaction in which chemical species are separated from other acids and bases. acid ...
A physical constant relating the average kinetic energy of the particles in a gas with the temperature of the gas. It is the gas constant R divided by the Avogadro constant NA. Bose–Einstein condensate (BEC) boson A type of subatomic particle that behaves according to Bose–Einstein statistics and possesses integer spin.
Here, k e is a constant, q 1 and q 2 are the quantities of each charge, and the scalar r is the distance between the charges. The force is along the straight line joining the two charges. If the charges have the same sign, the electrostatic force between them makes them repel; if they have different signs, the force between them makes them attract.
This results in zero net force, but since the object started with a non-zero velocity, it continues to move with a non-zero velocity. Aristotle misinterpreted this motion as being caused by the applied force. When kinetic friction is taken into consideration it is clear that there is no net force causing constant velocity motion. [4]: ch.12 [5]
Suppose a composite property is a function of a set of intensive properties {} and a set of extensive properties {}, which can be shown as ({}, {}). If the size of the system is changed by some scaling factor, λ {\displaystyle \lambda } , only the extensive properties will change, since intensive properties are independent of the size of the ...
[1] [2] In effect, it is a constant for each value of t. In the more general case, any nonhomogeneous source function in any variable can be described as a forcing function, and the resulting solution can often be determined using a superposition of linear combinations of the homogeneous solutions and the forcing term. [3]
A central-force problem is said to be "integrable" if this integration can be solved in terms of known functions. If the force is a power law, i.e., if F ( r ) = a r n {\displaystyle F(r)=ar^{n}} , then u {\displaystyle u} can be expressed in terms of circular functions and/or elliptic functions if n {\displaystyle n} equals 1, -2, -3 (circular ...