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The variable y is directly proportional to the variable x with proportionality constant ~0.6. The variable y is inversely proportional to the variable x with proportionality constant 1. In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio.
Zipf's law in corpus analysis and population distributions amongst others, where frequency of an item or event is inversely proportional to its frequency rank (i.e. the second most frequent item/event occurs half as often as the most frequent item, the third most frequent item/event occurs one third as often as the most frequent item, and so on).
According to the "law", given some dataset of text, the frequency of a word is inversely proportional to its frequency rank. In other words, the second most common word should appear about half as often as the most common word, and the fifth most common world would appear about once every five times the most common word appears.
For a fixed mass of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. [2] 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.
The force is proportional to the product of the two masses and inversely proportional to the square of the distance between them: [11] Diagram of two masses attracting one another = where F is the force between the masses; G is the Newtonian constant of gravitation (6.674 × 10 −11 m 3 ⋅kg −1 ⋅s −2);
For example, when corporations are ranked by decreasing size, their sizes are found to be inversely proportional to the rank. [13] The same relation is found for personal incomes (where it is called Pareto principle [14]), number of people watching the same TV channel, [15] notes in music, [16] cells transcriptomes, [17] [18] and more.
Zipf's law states that given some corpus of natural language utterances, the frequency of any word is inversely proportional to its rank in the frequency table. The law is named after George Kingsley Zipf, an early twentieth century American linguist.
A chemical law which states that the volume of a given mass of a gas at constant temperature is inversely proportional to its pressure. Bra–ket notation Bragg's law bremsstrahlung Radiation emitted by the acceleration of unbound charged particles. Brewster's angle. Also called the polarization angle.