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In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio. The ratio is called coefficient of proportionality (or proportionality constant) and its reciprocal is known as constant of normalization (or normalizing constant).
Boyle's law is a gas law, stating that the pressure and volume of a gas have an inverse relationship. If volume increases, then pressure decreases and vice versa, when the temperature is held constant. Therefore, when the volume is halved, the pressure is doubled; and if the volume is doubled, the pressure is halved.
Extensive properties. [edit] An extensive property is a physical quantity whose value is proportional to the size of the systemit describes,[8]or to the quantity of matter in the system. For example, the mass of a sample is an extensive quantity; it depends on the amount of substance. The related intensive quantity is the density which is ...
Colligative properties include: Relative lowering of vapor pressure (Raoult's law) Elevation of boiling point. Depression of freezing point. Osmotic pressure. For a given solute-solvent mass ratio, all colligative properties are inversely proportional to solute molar mass. Measurement of colligative properties for a dilute solution of a non ...
In mathematics, a function is a rule for taking an input (in the simplest case, a number or set of numbers) [5] and providing an output (which may also be a number). [5] A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. [6]
An apportionment paradox is a situation where an apportionment —a rule for dividing discrete objects according to some proportional relationship —produces results that violate notions of common sense or fairness. Certain quantities, like milk, can be divided in any proportion whatsoever; others, such as horses, cannot—only whole numbers ...
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