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The first ordinal number that is not a natural number is expressed as ω; this is also the ordinal number of the set of natural numbers itself. The least ordinal of cardinality ℵ 0 (that is, the initial ordinal of ℵ 0 ) is ω but many well-ordered sets with cardinal number ℵ 0 have an ordinal number greater than ω .
Global number of deaths (A) and YLLs (B), by bacterial pathogen (of 33) and GBD super-region, 2019 [6] Top causes of death, according to the World Health Organization report for the calendar year 2001: [ 7 ]
The modern study of number theory in its abstract form is largely attributed to Pierre de Fermat and Leonhard Euler. The field came to full fruition with the contributions of Adrien-Marie Legendre and Carl Friedrich Gauss. [17] Many easily stated number problems have solutions that require sophisticated methods, often from across mathematics.
1/52! chance of a specific shuffle Mathematics: The chances of shuffling a standard 52-card deck in any specific order is around 1.24 × 10 −68 (or exactly 1 ⁄ 52!) [4] Computing: The number 1.4 × 10 −45 is approximately equal to the smallest positive non-zero value that can be represented by a single-precision IEEE floating-point value.
In modern chemistry, the p stands for "the negative decimal logarithm of", and is used in the term pK a for acid dissociation constants, [11] so pH is "the negative decimal logarithm of H + ion concentration", while pOH is "the negative decimal logarithm of OH − ion concentration".
The prime number race generalizes to other moduli and is the subject of much research; Pál Turán asked whether it is always the case that π c,a (x) and π c,b (x) change places when a and b are coprime to c. [34] Granville and Martin give a thorough exposition and survey. [33] Graph of the number of primes ending in 1, 3, 7, and 9 up to n ...
Mathematics emerged independently in China by the 11th century BCE. [1] The Chinese independently developed a real number system that includes significantly large and negative numbers, more than one numeral system (binary and decimal), algebra, geometry, number theory and trigonometry.
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]