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When truncating, a number of this order of magnitude is between 10 6 and 10 7. In a similar example, with the phrase "seven-figure income", the order of magnitude is the number of figures minus one, so it is very easily determined without a calculator to be 6. An order of magnitude is an approximate position on a logarithmic scale.
A distinction without a difference is a type of logical fallacy where an author or speaker attempts to describe a distinction between two things where no discernible difference exists. [1] It is particularly used when a word or phrase has connotations associated with it that one party to an argument prefers to avoid.
To put in perspective the size of a googol, the mass of an electron, just under 10 −30 kg, can be compared to the mass of the visible universe, estimated at between 10 50 and 10 60 kg. [5] It is a ratio in the order of about 10 80 to 10 90 , or at most one ten-billionth of a googol (0.00000001% of a googol).
In number theory, it has been used beginning with Carl Friedrich Gauss (who first used it with this meaning in 1801) to mean modular congruence: () if N divides a − b. [ 10 ] [ 11 ] In category theory , triple bars may be used to connect objects in a commutative diagram , indicating that they are actually the same object rather than being ...
Displaying the differences between two or more sets of data, file comparison tools can make computing simpler, and more efficient by focusing on new data and ignoring what did not change. Generically known as a diff [ 18 ] after the Unix diff utility , there are a range of ways to compare data sources and display the results.
3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.
Instead of finding the difference digit by digit, one can count up the numbers between the subtrahend and the minuend. [18] Example: 1234 − 567 = can be found by the following steps: 567 + 3 = 570; 570 + 30 = 600; 600 + 400 = 1000; 1000 + 234 = 1234; Add up the value from each step to get the total difference: 3 + 30 + 400 + 234 = 667.
Most languages of the world have formal means to express differences of number. One widespread distinction, found in English and many other languages, involves a simple two-way contrast between singular and plural number (car/cars, child/children, etc.). Discussion of other more elaborate systems of number appears below.