501 (number)
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501 (five hundred ndone) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''cardinal ...
following
500 500 may refer to: * 500 (number) * 500 BC * AD 500 Buildings and places * 500 Boylston Street of Boston * 500 Brickell in Miami * 500 Capitol Mall in Sacramento * 500 Fifth Avenue * 500 Renaissance Center, one of seven buildings in the GM Renaiss ...
and preceding
502 __NOTOC__ Year 502 ( DII) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Avienus and Probus (or, less frequently, year 1255 ' ...
. 501 is the sum of the first eighteen
primes A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
. There are 501 degree-8
polynomial In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example ...
s with integer coefficients, all of whose roots are in the unit disk. There are 501 ways of partitioning the digits from 0 to 9 into two sets, each of which contains at least two digits, and 501 ways of partitioning a set of five elements into any number of ordered sequences. 501 is also a
figurate number The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). The term can mean * polyg ...
based on the
5-orthoplex In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces. It has two constructed forms, the first being regular with ...
or 5-dimensional
cross polytope In geometry, a cross-polytope, hyperoctahedron, orthoplex, or cocube is a regular, convex polytope that exists in ''n''- dimensional Euclidean space. A 2-dimensional cross-polytope is a square, a 3-dimensional cross-polytope is a regular octahed ...
. In the
gematria Gematria (; he, גמטריא or gimatria , plural or , ''gimatriot'') is the practice of assigning a numerical value to a name, word or phrase according to an alphanumerical cipher. A single word can yield several values depending on the cipher ...
of
Eleazar of Worms Eleazar of Worms (אלעזר מוורמייזא - also מגרמייזא of Garmiza or Garmisa) (c. 1176–1238), or Eleazar ben Judah ben Kalonymus, also sometimes known today as Eleazar Rokeach ("Eleazar the Perfumer" אלעזר רקח) from t ...
, the Hebrew words "temunah" (image) and "parsuf 'adam" (human face) both had the
numerological Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in ...
value of 501. Eleazar used this equivalence to argue that, in several Biblical passages, God appeared to His prophets in the form of a human face.


Other uses

''501'' is commonly used to refer to people deported from Australia under section 501 of the 1958 Migration Act.


References

{{DEFAULTSORT:501 (Number) Integers