For its application to music, see Counting (music).
Counting is the process of determining the number of elements of a finite set of objects; that is, determining the size of a set. The traditional way of counting consists of continually increasing a (mental or spoken) counter by a unit for every element of the set, in some order, while marking (or displacing) those elements to avoid visiting the same element more than once, until no unmarked elements are left; if the counter was set to one after the first object, the value after visiting the final object gives the desired number of elements. The related term enumeration refers to uniquely identifying the elements of a finite (combinatorial) set or infinite set by assigning a number to each element.
Counting sometimes involves numbers other than one; for example, when counting money, counting out change, "counting by twos" (2, 4, 6, 8, 10, 12, ...), or "counting by fives" (5, 10, 15, 20, 25, ...).
There is archaeological evidence suggesting that humans have been counting for at least 50,000 years.[1] Counting was primarily used by ancient cultures to keep track of social and economic data such as the number of group members, prey animals, property, or debts (that is, accountancy). Notched bones were also found in the Border Caves in South Africa, which may suggest that the concept of counting was known to humans as far back as 44,000 BCE.[2] The development of counting led to the development of mathematical notation, numeral systems, and writing.
^An Introduction to the History of Mathematics (6th Edition) by Howard Eves (1990) p.9
^"Early Human Counting Tools". Math Timeline. Retrieved 2018-04-26.
to each element. Counting sometimes involves numbers other than one; for example, when counting money, counting out change, "counting by twos" (2, 4, 6...
2014. "Counting Crows Sign With Capitol Records for New Studio Album". The Hollywood Reporter. May 19, 2014. "Counting Crows". IMDb. "Counting Crows"...
Counting On (formerly Jill & Jessa: Counting On) is an American reality television show that aired on the cable channel TLC from 2015 to 2020. A spin-off...
count slowly. This table illustrates some example counting systems. The primary goal of a card counting system is to assign point values to each card that...
gonna happen or come to pass? So, instead of counting sheep, we're counting stars." Sheet music for "Counting Stars" is in the key of C♯ minor with a tempo...
restore and modify classic automobiles and motorcycles. Counting Cars debuted on August 13, 2012. Counting Cars is an American reality-television series, shown...
Vote counting is the process of counting votes in an election. It can be done manually or by machines. In the United States, the compilation of election...
A counting house, or counting room, was traditionally an office in which the financial books of a business were kept. It was also the place that the business...
considered counting coup, as was, in some nations, simply riding up to an enemy, touching him with a short stick, and riding away unscathed. Counting coup has...
Vertigo Count von CountCount Duckula Count Olaf Count Chocula Count Paris Count of Monte Cristo Count Dooku Count Dracula Count Orlok Count Arthur Strong...
omer still has a purpose as a remembrance of the counting up to Sinai. One explanation for the Counting of the Omer is that it shows the connection between...
Bucket sort may be used in lieu of counting sort, and entails a similar time analysis. However, compared to counting sort, bucket sort requires linked...
from the use of tally marks as a counting aid, with the oldest examples being about 35,000 to 25,000 years old. Counting aids like tally marks become more...
during the interval (s, t ]. Examples of counting processes include Poisson processes and Renewal processes. Counting processes deal with the number of occurrences...
teach counting skills to children. His signature greeting is, "They call me the Count because I love to count things". The Count loves counting so much...
television programme 15 Kids and Counting, which featured several large British families. This was followed by 16 Kids and Counting, exclusively about the Radfords...
19 Kids and Counting (formerly 17 Kids and Counting and 18 Kids and Counting) is an American reality television series that aired on the cable channel...
generally exist as free species. Two methods of electron counting are "neutral counting" and "ionic counting". Both approaches give the same result (and can therefore...
reality television series Counting Cars, a spin-off of the series Pawn Stars, which airs on the cable network History. "Counting Cars". Zap2it. Retrieved...
scintillator (e.g. zinc sulfide), and counting the resultant photon emissions. The purpose is to allow more efficient counting due to the intimate contact of...
x\in X} gives the counting measure. Pip (counting) – Easily countable items Set function – Function from sets to numbers Counting Measure at PlanetMath...
Cell counting is any of various methods for the counting or similar quantification of cells in the life sciences, including medical diagnosis and treatment...
such as two-variable logic with counting that restrict the number of variables in formulas. Also, generalized counting quantifiers that say "there exists...
another word of it." Cervantes probably adapted the story of counting goats from a story of counting sheep in the early twelfth-century Spanish work Disciplina...
Volbeat – Still Counting" (in German). IFPI Austria. Retrieved 1 June 2022. "Canadian single certifications – Volbeat – Still Counting". Music Canada....
Global Information