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The fine-structure constant gives the maximum positive charge of an atomic nucleus that will allow a stable electron-orbit around it within the Bohr model (element feynmanium). [20] For an electron orbiting an atomic nucleus with atomic number Z the relation is m v 2 / r = 1 / 4π ε 0 Z e 2 / r 2 .
Two to the power of n, written as 2 n, is the number of values in which the bits in a binary word of length n can be set, where each bit is either of two values. A word, interpreted as representing an integer in a range starting at zero, referred to as an "unsigned integer", can represent values from 0 (000...000 2) to 2 n − 1 (111...111 2) inclusively.
Thus, log 10 (x) is related to the number of decimal digits of a positive integer x: The number of digits is the smallest integer strictly bigger than log 10 (x). [7] For example, log 10 (5986) is approximately 3.78 . The next integer above it is 4, which is the number of digits of 5986.
For example, among the positive integers of at most 1000 digits, about one in 2300 is prime (log(10 1000) ≈ 2302.6), whereas among positive integers of at most 2000 digits, about one in 4600 is prime (log(10 2000) ≈ 4605.2). In other words, the average gap between consecutive prime numbers among the first N integers is roughly log(N). [3]
Integer variables can be assigned using decimal (positive and negative), octal, hexadecimal, and binary notations. [citation needed] Floating-point numbers are also stored in a platform-specific range. They can be specified using floating-point notation, or two forms of scientific notation. [221]
Sizes are often expressed as a fraction of an inch, with a one in the numerator, and a decimal number in the denominator. For example, 1/2.5 converts to 2/5 as a simple fraction, or 0.4 as a decimal number. This "inch" system gives a result approximately 1.5 times the length of the diagonal of the sensor.
One bitcoin is divisible to eight decimal places. [7]: ch. 5 Units for smaller amounts of bitcoin are the millibitcoin (mBTC), equal to 1 ⁄ 1000 bitcoin, and the satoshi [a] (sat), representing 1 ⁄ 100 000 000 (one hundred millionth) bitcoin, the smallest amount possible. [2] 100,000 satoshis are one mBTC. [68]
For brevity, course number designations are pronounced without the decimal point and by replacing "oh" for zero (unless zero is the last number). Thus, "8.01" is pronounced eight oh one , "2.009" is pronounced two double oh nine , and "5.60" would be pronounced five sixty .