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.
110-418: 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. Counting was primarily used by ancient cultures to keep track of social and economic data such as
220-725: A double-entry bookkeeping system was the Summa de arithmetica , published in Italy in 1494 by Luca Pacioli (the "Father of Accounting"). Accounting began to transition into an organized profession in the nineteenth century, with local professional bodies in England merging to form the Institute of Chartered Accountants in England and Wales in 1880. Both the words "accounting" and "accountancy" were in use in Great Britain by
330-512: A year may be designated for a particular purpose, such as Golden Week in China and Japan , and National Family Week in Canada. More informally, certain groups may advocate awareness weeks , which are designed to draw attention to a certain subject or cause. The term "week" may also be used to refer to a sub-section of the week, such as the workweek and weekend . Cultures vary in which days of
440-448: A (finite) set, the answer is the same. In a broader context, the theorem is an example of a theorem in the mathematical field of (finite) combinatorics —hence (finite) combinatorics is sometimes referred to as "the mathematics of counting." Many sets that arise in mathematics do not allow a bijection to be established with {1, 2, ..., n } for any natural number n ; these are called infinite sets , while those sets for which such
550-465: A bijection does exist (for some n ) are called finite sets . Infinite sets cannot be counted in the usual sense; for one thing, the mathematical theorems which underlie this usual sense for finite sets are false for infinite sets. Furthermore, different definitions of the concepts in terms of which these theorems are stated, while equivalent for finite sets, are inequivalent in the context of infinite sets. The notion of counting may be extended to them in
660-642: A bijection with the natural numbers, and these sets are called " uncountable ." Sets for which there exists a bijection between them are said to have the same cardinality , and in the most general sense counting a set can be taken to mean determining its cardinality. Beyond the cardinalities given by each of the natural numbers, there is an infinite hierarchy of infinite cardinalities, although only very few such cardinalities occur in ordinary mathematics (that is, outside set theory that explicitly studies possible cardinalities). Counting, mostly of finite sets, has various applications in mathematics. One important principle
770-419: A bijection with the original set is not excluded. For instance, the set of all integers (including negative numbers) can be brought into bijection with the set of natural numbers, and even seemingly much larger sets like that of all finite sequences of rational numbers are still (only) countably infinite. Nevertheless, there are sets, such as the set of real numbers , that can be shown to be "too large" to admit
880-489: A broad range of research areas including financial accounting , management accounting , auditing and taxation . Accounting research is carried out both by academic researchers and practicing accountants. Methodologies in academic accounting research include archival research, which examines "objective data collected from repositories "; experimental research, which examines data "the researcher gathered by administering treatments to subjects "; analytical research, which
990-465: A company may be legally required to have their financial statements audited by a qualified auditor, and audits are usually carried out by accounting firms . Accounting firms grew in the United States and Europe in the late nineteenth and early twentieth century, and through several mergers there were large international accounting firms by the mid-twentieth century. Further large mergers in
1100-487: A formation *tъ(žь)dьnь (Serbian тједан , tjedan , Croatian tjedan , Ukrainian тиждень , tyzhden , Czech týden , Polish tydzień ), from *tъ "this" + *dьnь "day". Chinese has 星期 , as it were " planetary time unit ". An older Chinese form is 禮拜 , meaning "week, religious ceremony." A week is defined as an interval of exactly seven days , so that, except when passing through daylight saving time transitions or leap seconds , With respect to
1210-454: A mark for each number and then counting all of the marks when done tallying. Tallying is base 1 counting. Finger counting is convenient and common for small numbers. Children count on fingers to facilitate tallying and for performing simple mathematical operations. Older finger counting methods used the four fingers and the three bones in each finger ( phalanges ) to count to twelve. Other hand-gesture systems are also in use, for example
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#17327731698771320-450: A percentage of overall income). Forensic accounting is a specialty practice area of accounting that describes engagements that result from actual or anticipated disputes or litigation . " Forensic " means "suitable for use in a court of law", and it is to that standard and potential outcome that forensic accountants generally have to work. Political campaign accounting deals with the development and implementation of financial systems and
1430-433: A recent study based on academic author rankings concludes that the competitive value of a single publication in a top-ranked journal is highest in accounting and lowest in marketing. The year 2001 witnessed a series of financial information frauds involving Enron , auditing firm Arthur Andersen , the telecommunications company WorldCom , Qwest and Sunbeam , among other well-known corporations. These problems highlighted
1540-399: A result of the first admissions of fraudulent behavior made by Enron. The act significantly raises criminal penalties for securities fraud , for destroying, altering or fabricating records in federal investigations or any scheme or attempt to defraud shareholders. Accounting fraud is an intentional misstatement or omission in the accounting records by management or employees which involves
1650-729: A seven-day week; referring to the Jews during the Babylonian captivity in the 6th century BCE, after the destruction of the Temple of Solomon . While the seven-day week in Judaism is tied to Creation account in the Book of Genesis in the Hebrew Bible (where God creates the heavens and the earth in six days and rests on the seventh; Genesis 1:1-2:3, in the Book of Exodus , the fourth of
1760-651: A single professional accounting body and, in some other countries, professional bodies for subfields of the accounting professions also exist, for example the Chartered Institute of Management Accountants (CIMA) in the UK and Institute of management accountants in the United States. Many of these professional bodies offer education and training including qualification and administration for various accounting designations, such as certified public accountant ( AICPA ) and chartered accountant . Depending on its size,
1870-530: A term for the full moon . The Sumerian term has been reconstructed as rendered Sapattu or Sabattu in Babylonian , possibly present in the lost fifth tablet of the Enûma Eliš , tentatively reconstructed "[Sa]bbath shalt thou then encounter, mid[month]ly". However, Niels-Erik Andreasen , Jeffrey H. Tigay , and others claim that the Biblical Sabbath is mentioned as a day of rest in some of
1980-534: A wish", and at least the 28th was known as a "rest day". On each of them, offerings were made to a different god and goddess. Though similar, the later practice of associating days of the week with deities or planets is not due to the Babylonians. A continuous seven-day cycle that runs throughout history without reference to the phases of the moon was first practiced in Judaism , dated to the 6th century BCE at
2090-487: A year after learning these skills for a child to understand what they mean and why the procedures are performed. In the meantime, children learn how to name cardinalities that they can subitize . In mathematics, the essence of counting a set and finding a result n , is that it establishes a one-to-one correspondence (or bijection) of the subject set with the subset of positive integers {1, 2, ..., n }. A fundamental fact, which can be proved by mathematical induction ,
2200-883: Is "based on the act of formally modeling theories or substantiating ideas in mathematical terms"; interpretive research, which emphasizes the role of language, interpretation and understanding in accounting practice, "highlighting the symbolic structures and taken-for-granted themes which pattern the world in distinct ways"; critical research, which emphasizes the role of power and conflict in accounting practice; case studies ; computer simulation ; and field research . Empirical studies document that leading accounting journals publish in total fewer research articles than comparable journals in economics and other business disciplines, and consequently, accounting scholars are relatively less successful in academic publishing than their business school peers. Due to different publication rates between accounting and other business disciplines,
2310-677: Is 49 days before Easter Sunday. When counting "inclusively", the Sunday (the start day) will be day 1 and therefore the following Sunday will be the eighth day . For example, the French phrase for " fortnight " is quinzaine (15 [days]), and similar words are present in Greek (δεκαπενθήμερο, dekapenthímero ), Spanish ( quincena ) and Portuguese ( quinzena ). In contrast, the English word "fortnight" itself derives from "a fourteen-night", as
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#17327731698772420-458: Is a part of an organization's information system used for processing accounting data. Many corporations use artificial intelligence-based information systems. The banking and finance industry uses AI in fraud detection. The retail industry uses AI for customer services. AI is also used in the cybersecurity industry. It involves computer hardware and software systems using statistics and modeling. Many accounting practices have been simplified with
2530-409: Is a type of off-by-one error . Modern mathematical English language usage has introduced another difficulty, however. Because an exclusive counting is generally tacitly assumed, the term "inclusive" is generally used in reference to a set which is actually counted exclusively. For example; How many numbers are included in the set that ranges from 3 to 8, inclusive? The set is counted exclusively, once
2640-561: Is an octave . Learning to count is an important educational/developmental milestone in most cultures of the world. Learning to count is a child's very first step into mathematics, and constitutes the most fundamental idea of that discipline. However, some cultures in Amazonia and the Australian Outback do not count, and their languages do not have number words. Many children at just 2 years of age have some skill in reciting
2750-729: Is an accepted version of this page Accounting , also known as accountancy , is the process of recording and processing information about economic entities , such as businesses and corporations . Accounting measures the results of an organization's economic activities and conveys this information to a variety of stakeholders, including investors , creditors , management , and regulators . Practitioners of accounting are known as accountants . The terms "accounting" and " financial reporting " are often used interchangeably. Accounting can be divided into several fields including financial accounting , management accounting , tax accounting and cost accounting . Financial accounting focuses on
2860-542: Is closely related to developments in writing , counting and money ; there is also evidence of early forms of bookkeeping in ancient Iran , and early auditing systems by the ancient Egyptians and Babylonians . By the time of Emperor Augustus , the Roman government had access to detailed financial information. Many concepts related to today's accounting seem to be initiated in medieval's Middle East. For example, Jewish communities used double-entry bookkeeping in
2970-479: Is derived from the French word compter , which is also derived from the Italian and Latin word computare . The word was formerly written in English as "accomptant", but in process of time the word, which was always pronounced by dropping the "p", became gradually changed both in pronunciation and in orthography to its present form. Accounting has variously been defined as the keeping or preparation of
3080-412: Is done with base 10 numbers: "1, 2, 3, 4", etc. Verbal counting is often used for objects that are currently present rather than for counting things over time, since following an interruption counting must resume from where it was left off, a number that has to be recorded or remembered. Counting a small set of objects, especially over time, can be accomplished efficiently with tally marks : making
3190-549: Is named in many languages by a word derived from "seven". The archaism sennight ("seven-night") preserves the old Germanic practice of reckoning time by nights, as in the more common fortnight ("fourteen-night"). Hebdomad and hebdomadal week both derive from the Greek hebdomás ( ἑβδομάς , "a seven"). Septimana is cognate with the Romance terms derived from Latin septimana ("seven mornings"). Slavic has
3300-795: Is no precise parallel to the Israelite Sabbatical week. This leads to the conclusion that the Sabbatical week, which is as unique to Israel as the Sabbath from which it flows, is an independent Israelite creation. The seven-day week seems to have been adopted, at different stages, by the Persian Empire , in Hellenistic astrology , and (via Greek transmission ) in Gupta India and Tang China . The Babylonian system
3410-452: Is that if two sets X and Y have the same finite number of elements, and a function f : X → Y is known to be injective , then it is also surjective , and vice versa. A related fact is known as the pigeonhole principle , which states that if two sets X and Y have finite numbers of elements n and m with n > m , then any map f : X → Y is not injective (so there exist two distinct elements of X that f sends to
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3520-419: Is that no bijection can exist between {1, 2, ..., n } and {1, 2, ..., m } unless n = m ; this fact (together with the fact that two bijections can be composed to give another bijection) ensures that counting the same set in different ways can never result in different numbers (unless an error is made). This is the fundamental mathematical theorem that gives counting its purpose; however you count
3630-443: Is the largest global accountancy body with over 320,000 members, and the organisation provides an 'IFRS stream' and a 'UK stream'. Students must pass a total of 14 exams, which are arranged across three levels. Accounting research is research in the effects of economic events on the process of accounting, the effects of reported information on economic events, and the roles of accounting in organizations and society. It encompasses
3740-450: Is transacted between companies with a common parent company (subsidiaries). Auditing is the verification of assertions made by others regarding a payoff, and in the context of accounting it is the " unbiased examination and evaluation of the financial statements of an organization". Audit is a professional service that is systematic and conventional. An audit of financial statements aims to express or disclaim an independent opinion on
3850-437: Is usually attributed to the Italian mathematician and Franciscan friar Luca Pacioli . Today, accounting is facilitated by accounting organizations such as standard-setters, accounting firms and professional bodies . Financial statements are usually audited by accounting firms, and are prepared in accordance with generally accepted accounting principles (GAAP). GAAP is set by various standard-setting organizations such as
3960-574: The American Institute of CPA's (AICPA) 150 semester hour requirement, and associate membership with the Certified Public Accountants Association of the UK is available after gaining a degree in finance or accounting. A doctorate is required in order to pursue a career in accounting academia , for example, to work as a university professor in accounting. The Doctor of Philosophy (PhD) and
4070-599: The Coptic , Julian , and Gregorian calendars, demonstrated by the date of Easter Sunday having been traced back through numerous computistic tables to an Ethiopic copy of an early Alexandrian table beginning with the Easter of 311 CE. A tradition of divinations arranged for the days of the week on which certain feast days occur develops in the Early Medieval period. There are many later variants of this, including
4180-674: The Day of the Sun ( dies Solis ) a legal holiday. The Zoroastrian calendar follows the Babylonian in relating the 7th, 14th, 21st, and 28th of the 29- or 30-day lunar month to Ahura Mazda . The forerunner of all modern Zoroastrian calendars is the system used to determine dates in the Persian Empire , adopted from the Babylonian calendar by the 4th century BCE. Frank C. Senn in his book Christian Liturgy: Catholic and Evangelical points to data suggesting evidence of an early continuous use of
4290-616: The Doctor of Business Administration (DBA) are the most popular degrees. The PhD is the most common degree for those wishing to pursue a career in academia, while DBA programs generally focus on equipping business executives for business or public careers requiring research skills and qualifications. Professional accounting qualifications include the chartered accountant designations and other qualifications including certificates and diplomas. In Scotland, chartered accountants of ICAS undergo Continuous Professional Development and abide by
4400-772: The Financial Accounting Standards Board (FASB) in the United States and the Financial Reporting Council in the United Kingdom . As of 2012, "all major economies" have plans to converge towards or adopt the International Financial Reporting Standards (IFRS). Accounting is thousands of years old and can be traced to ancient civilizations . One early development of accounting dates back to ancient Mesopotamia and
4510-527: The Gregorian calendar : In a Gregorian mean year, there are 365.2425 days, and thus exactly 52 + 71 ⁄ 400 or 52.1775 weeks (unlike the Julian year of 365.25 days or 52 + 5 ⁄ 28 ≈ 52.1786 weeks, which cannot be represented by a finite decimal expansion). There are exactly 20,871 weeks in 400 Gregorian years, so 28 November 1624 was a Thursday just as was 28 November 2024. Relative to
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4620-546: The International Accounting Standards Board (IASB) issues the International Financial Reporting Standards (IFRS) implemented by 147 countries. Standards for international audit and assurance, ethics, education, and public sector accounting are all set by independent standard settings boards supported by IFAC. The International Auditing and Assurance Standards Board sets international standards for auditing, assurance, and quality control;
4730-710: The International Ethics Standards Board for Accountants (IESBA) sets the internationally appropriate principles-based Code of Ethics for Professional Accountants ; the International Accounting Education Standards Board (IAESB) sets professional accounting education standards; and International Public Sector Accounting Standards Board (IPSASB) sets accrual-based international public sector accounting standards. Organizations in individual countries may issue accounting standards unique to
4840-479: The Noah -like character of Utnapishtim leaves the ark seven days after it reaches the firm ground. Counting from the new moon , the Babylonians celebrated the 7th, 14th, 21st and 28th of the approximately 29- or 30-day lunar month as "holy days", also called "evil days" (meaning inauspicious for certain activities). On these days, officials were prohibited from various activities and common men were forbidden to "make
4950-604: The Pharisee and the Publican ( Luke 18:12 ) describes the Pharisee as fasting "twice in the week" ( Greek : δὶς τοῦ σαββάτου , romanized : dis tou sabbatou ). In the account of the women finding the tomb empty, they are described as coming there "toward the one of the sabbaths" ( Greek : εἰς μίαν σαββάτων, τῇ μιᾷ τῶν σαββάτων ); translations substitute "week" for "sabbaths". The ancient Romans traditionally used
5060-673: The Ten Commandments is to rest on the seventh day, Shabbat , which can be seen as implying a socially instituted seven-day week), it is not clear whether the Genesis narrative predates the Babylonian captivity of the Jews in the 6th century BCE. At least since the Second Temple period under Persian rule, Judaism relied on the seven-day cycle of recurring Sabbaths . Tablets from the Achaemenid period indicate that
5170-487: The lunation of 29 or 30 days basically contained three seven-day weeks, and a final week of eight or nine days inclusive, breaking the continuous seven-day cycle. The Babylonians additionally celebrated the 19th as a special "evil day", the "day of anger", because it was roughly the 49th day of the (preceding) month, completing a "week of weeks", also with sacrifices and prohibitions. Difficulties with Friedrich Delitzsch 's origin theory connecting Hebrew Shabbat with
5280-527: The remainder after dividing the Julian day number by seven (JD modulo 7 + 1) yields that date's ISO 8601 day of the week. For example, the Julian day number of 28 November 2024 is 2460643. Calculating 2460643 mod 7 + 1 yields 4, corresponding to Thursday. In 1973, John Conway devised the Doomsday rule for mental calculation of the weekday of any date in any year. The days of the week were named for
5390-413: The (contemporary) Julian calendar, 6 February 60 was, however, a Wednesday . This is explained by the existence of two conventions of naming days of the weeks based on the planetary hours system: 6 February was a "Sunday" based on the sunset naming convention, and a "Wednesday" based on the sunrise naming convention. According to Islamic beliefs, the seven-day a week concept started with the creation of
5500-572: The 1st century CE, along with references to the Jewish Sabbath by Roman authors such as Seneca and Ovid . When the seven-day week came into use in Rome during the early imperial period, it did not immediately replace the older eight-day nundinal system. The nundinal system had probably fallen out of use by the time Emperor Constantine adopted the seven-day week for official use in CE 321, making
5610-516: The Babylonian lunar cycle include reconciling the differences between an unbroken week and a lunar week, and explaining the absence of texts naming the lunar week as Shabbat in any language. In Jewish sources by the time of the Septuagint , the term "Sabbath" ( Greek : Σάββατον , romanized : Sábbaton ) by synecdoche also came to refer to an entire seven-day week, the interval between two weekly Sabbaths. Jesus's parable of
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#17327731698775720-532: The Chinese system by which one can count to 10 using only gestures of one hand. With finger binary it is possible to keep a finger count up to 1023 = 2 − 1 . Various devices can also be used to facilitate counting, such as tally counters and abacuses . Inclusive/exclusive counting are two different methods of counting. For exclusive counting, unit intervals are counted at the end of each interval. For inclusive counting, unit intervals are counted beginning with
5830-536: The German Bauern-Praktik and the versions of Erra Pater published in 16th to 17th century England, mocked in Samuel Butler 's Hudibras . South and East Slavic versions are known as koliadniki (from koliada , a loan of Latin calendae ), with Bulgarian copies dating from the 13th century, and Serbian versions from the 14th century. Medieval Christian traditions associated with
5940-484: The Germanic tradition of names based on indigenous deities. The ordering of the weekday names is not the classical order of the planets (by distance in the planetary spheres model, nor, equivalently, by their apparent speed of movement in the night sky). Instead, the planetary hours systems resulted in succeeding days being named for planets that are three places apart in their traditional listing. This characteristic
6050-822: The ICAS code of ethics. In England and Wales, chartered accountants of the ICAEW undergo annual training, and are bound by the ICAEW's code of ethics and subject to its disciplinary procedures. In the United States , the requirements for joining the AICPA as a Certified Public Accountant are set by the Board of Accountancy of each state , and members agree to abide by the AICPA's Code of Professional Conduct and Bylaws. The ACCA
6160-475: The IFRS. At least a bachelor's degree in accounting or a related field is required for most accountant and auditor job positions , and some employers prefer applicants with a master's degree . A degree in accounting may also be required for, or may be used to fulfill the requirements for, membership to professional accounting bodies. For example, the education during an accounting degree can be used to fulfill
6270-583: The Jewish week was adopted from the Babylonians while removing the moon-dependency. George Aaron Barton speculated that the seven-day creation account of Genesis is connected to the Babylonian creation epic, Enûma Eliš , which is recorded on seven tablets. In a frequently-quoted suggestion going back to the early 20th century, the Hebrew Sabbath is compared to the Sumerian sa-bat "mid-rest",
6380-660: The United States concentrates on the preparation, analysis and presentation of tax payments and tax returns. The U.S. tax system requires the use of specialised accounting principles for tax purposes which can differ from the generally accepted accounting principles (GAAP) for financial reporting. U.S. tax law covers four basic forms of business ownership: sole proprietorship , partnership , corporation , and limited liability company . Corporate and personal income are taxed at different rates, both varying according to income levels and including varying marginal rates (taxed on each additional dollar of income) and average rates (set as
6490-874: The accounting of financial transactions in compliance with laws governing political campaign operations. This branch of accounting was first formally introduced in the March 1976 issue of The Journal of Accountancy . Professional accounting bodies include the American Institute of Certified Public Accountants (AICPA) and the other 179 members of the International Federation of Accountants (IFAC), including Institute of Chartered Accountants of Scotland (ICAS), Institute of Chartered Accountants of Pakistan (ICAP) , CPA Australia , Institute of Chartered Accountants of India , Association of Chartered Certified Accountants (ACCA) and Institute of Chartered Accountants in England and Wales (ICAEW). Some countries have
6600-401: The archaic " sennight " does from "a seven-night"; the English words are not examples of inclusive counting. In exclusive counting languages such as English, when counting eight days "from Sunday", Monday will be day 1 , Tuesday day 2 , and the following Monday will be the eighth day . For many years it was a standard practice in English law for the phrase "from a date" to mean "beginning on
6710-456: The case of infinite sets this can even apply in situations where it is impossible to give an example. The domain of enumerative combinatorics deals with computing the number of elements of finite sets, without actually counting them; the latter usually being impossible because infinite families of finite sets are considered at once, such as the set of permutations of {1, 2, ..., n } for any natural number n . Accountancy This
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#17327731698776820-437: The count list (that is, saying "one, two, three, ..."). They can also answer questions of ordinality for small numbers, for example, "What comes after three ?". They can even be skilled at pointing to each object in a set and reciting the words one after another. This leads many parents and educators to the conclusion that the child knows how to use counting to determine the size of a set. Research suggests that it takes about
6930-788: The countries. For example, in Australia, the Australian Accounting Standards Board manages the issuance of the accounting standards in line with IFRS. In the United States the Financial Accounting Standards Board (FASB) issues the Statements of Financial Accounting Standards, which form the basis of US GAAP , and in the United Kingdom the Financial Reporting Council (FRC) sets accounting standards. However, as of 2012 "all major economies" have plans to converge towards or adopt
7040-490: The day after that date": this practice is now deprecated because of the high risk of misunderstanding. Similar counting is involved in East Asian age reckoning , in which newborns are considered to be 1 at birth. Musical terminology also uses inclusive counting of intervals between notes of the standard scale: going up one note is a second interval, going up two notes is a third interval, etc., and going up seven notes
7150-610: The day called the day of Kronos (Saturday). Ravivāra/Bhānuvāsara/ Ādityavāra Somavāra/ Induvāsara Saumyavāsara Sthiravāsara An ecclesiastical, non-astrological, system of numbering the days of the week was adopted in Late Antiquity. This model also seems to have influenced (presumably via Gothic ) the designation of Wednesday as "mid-week" in Old High German ( mittawehha ) and Old Church Slavonic ( срѣда ). Old Church Slavonic may have also modeled
7260-532: The development of new regulations to improve the reliability of financial reporting, and increased public awareness about the importance of having accounting standards that show the financial reality of companies and the objectivity and independence of auditing firms. In addition to being the largest bankruptcy reorganization in American history, the Enron scandal undoubtedly is the biggest audit failure causing
7370-517: The dissolution of Arthur Andersen , which at the time was one of the five largest accounting firms in the world. After a series of revelations involving irregular accounting procedures conducted throughout the 1990s, Enron filed for Chapter 11 bankruptcy protection in December 2001. One consequence of these events was the passage of the Sarbanes–Oxley Act in the United States in 2002, as
7480-636: The earliest layers of the Pentateuch dated to the 9th century BCE at the latest, centuries before the Babylonian exile of Judah . They also find the resemblance between the Biblical Sabbath and the Babylonian system to be weak. Therefore, they suggest that the seven-day week may reflect an independent Israelite tradition. Tigay writes: It is clear that among neighboring nations that were in position to have an influence over Israel – and in fact which did influence it in various matters – there
7590-569: The early-medieval period and Muslim societies, at least since the 10th century also used many modern accounting concepts. The spread of the use of Arabic numerals , instead of the Roman numbers historically used in Europe, increased efficiency of accounting procedures among Mediterranean merchants, who further refined accounting in medieval Europe . With the development of joint-stock companies , accounting split into financial accounting and management accounting . The first published work on
7700-456: The eight-day nundinum but, after the Julian calendar had come into effect in 45 BCE, the seven-day week came into increasing use. For a while, the week and the nundinal cycle coexisted, but by the time the week was officially adopted by Constantine in 321 CE, the nundinal cycle had fallen out of use. The association of the days of the week with the Sun, the Moon and the five planets visible to
7810-542: The financial records of transactions of the firm, the analysis, verification and reporting of such records and "the principles and procedures of accounting"; it also refers to the job of being an accountant . Accountancy refers to the occupation or profession of an accountant, particularly in British English . Accounting has several subfields or subject areas, including financial accounting , management accounting , auditing , taxation and accounting information systems . Financial accounting focuses on
7920-499: The financial statements. The auditor expresses an independent opinion on the fairness with which the financial statements presents the financial position, results of operations, and cash flows of an entity, in accordance with the generally accepted accounting principles (GAAP) and "in all material respects". An auditor is also required to identify circumstances in which the generally accepted accounting principles (GAAP) have not been consistently observed. An accounting information system
8030-507: The financials may be presented in financial reports, is known as bookkeeping , of which double-entry bookkeeping is the most common system. Accounting information systems are designed to support accounting functions and related activities. Accounting has existed in various forms and levels of sophistication throughout human history. The double-entry accounting system in use today was developed in medieval Europe, particularly in Venice , and
8140-551: The first day of the week. Prior to 2000, Saturday was judged as the first day of the week in much of the Middle East and North Africa due to the Islamic influence; however, this is no longer the case. Other regions are mixed, but typically observe either Sunday or Monday as the first day. The three Abrahamic religions observe different days of the week as their holy day. Jews observe their Sabbath ( Shabbat ) on Saturday,
8250-485: The former term to be loosely used for the latter process. Inclusive counting is usually encountered when dealing with time in Roman calendars and the Romance languages . In the ancient Roman calendar , the nones (meaning "nine") is 8 days before the ides ; more generally, dates are specified as inclusively counted days up to the next named day. In the Christian liturgical calendar , Quinquagesima (meaning 50)
8360-854: The goals of an organization. In management accounting, internal measures and reports are based on cost–benefit analysis , and are not required to follow the generally accepted accounting principle (GAAP). In 2014 CIMA created the Global Management Accounting Principles (GMAPs) . The result of research from across 20 countries in five continents, the principles aim to guide best practice in the discipline. Management accounting produces past-oriented reports with time spans that vary widely, but it also encompasses future-oriented reports such as budgets . Management accounting reports often include financial and non financial information, and may, for example, focus on specific products and departments. Intercompany accounting focuses on
8470-546: The help of accounting computer-based software . An enterprise resource planning (ERP) system is commonly used for a large organisation and it provides a comprehensive, centralized, integrated source of information that companies can use to manage all major business processes, from purchasing to manufacturing to human resources. These systems can be cloud based and available on demand via application or browser, or available as software installed on specific computers or local servers, often referred to as on-premise. Tax accounting in
8580-674: The hours of Friday, i. e. between afternoon and night. The earliest known reference in Chinese writings to a seven-day week is attributed to Fan Ning, who lived in the late 4th century in the Jin dynasty , while diffusions from the Manichaeans are documented with the writings of the Chinese Buddhist monk Yi Jing and the Ceylonese or Central Asian Buddhist monk Bu Kong of the 7th century ( Tang dynasty ). The Chinese variant of
8690-626: The key celestial bodies visible to the naked eye numbered seven (the Sun, the Moon and the five closest planets). Gudea , the priest-king of Lagash in Sumer during the Gutian dynasty (about 2100 BCE), built a seven-room temple, which he dedicated with a seven-day festival. In the flood story of the Assyro-Babylonian Epic of Gilgamesh , the storm lasts for seven days, the dove is sent out after seven days (similarly to Genesis), and
8800-589: The late twentieth century led to the dominance of the auditing market by the "Big Five" accounting firms: Arthur Andersen , Deloitte , Ernst & Young , KPMG and PricewaterhouseCoopers . The demise of Arthur Andersen following the Enron scandal reduced the Big Five to the Big Four . Generally accepted accounting principles (GAAP) are accounting standards issued by national regulatory bodies. In addition,
8910-423: The latest. There are several hypotheses concerning the origin of the biblical seven-day cycle. Friedrich Delitzsch and others suggested that the seven-day week being approximately a quarter of a lunation is the implicit astronomical origin of the seven-day week, and indeed the Babylonian calendar used intercalary days to synchronize the last week of a month with the new moon. According to this theory,
9020-466: The lucky or unlucky nature of certain days of the week survived into the modern period. This concerns primarily Friday , associated with the crucifixion of Jesus . Sunday , sometimes personified as Saint Anastasia , was itself an object of worship in Russia, a practice denounced in a sermon extant in copies going back to the 14th century. Sunday , in the ecclesiastical numbering system also counted as
9130-404: The measurement, analysis and reporting of information between separate entities that are related, such as a parent company and its subsidiary companies. Intercompany accounting concerns record keeping of transactions between companies that have common ownership such as a parent company and a partially or wholly owned subsidiary. Intercompany transactions are also recorded in accounting when business
9240-675: The mid-1800s and are derived from the words accompting and accountantship used in the 18th century. In Middle English (used roughly between the 12th and the late 15th century), the verb "to account" had the form accounten , which was derived from the Old French word aconter , which is in turn related to the Vulgar Latin word computare , meaning "to reckon". The base of computare is putare , which "variously meant to prune, to purify, to correct an account, hence, to count or calculate, as well as to think". The word " accountant "
9350-410: The naked eye dates to the Roman era (2nd century). The continuous seven-day cycle of the days of the week can be traced back to the reign of Augustus ; the first identifiable date cited complete with day of the week is 6 February 60 CE, identified as a " Sunday " (as viii idus Februarius dies solis "eighth day before the ides of February, day of the Sun") in a Pompeiian graffito. According to
9460-599: The name of Monday, понєдѣльникъ , after the Latin feria Secunda . The ecclesiastical system became prevalent in Eastern Christianity , but in the Latin West it remains extant only in modern Icelandic , Galician , and Portuguese . The earliest evidence of an astrological significance of a seven-day period is decree of king Sargon of Akkad around 2300 BCE. Akkadians venerated the number seven, and
9570-423: The need to review the effectiveness of accounting standards , auditing regulations and corporate governance principles. In some cases, management manipulated the figures shown in financial reports to indicate a better economic performance. In others, tax and regulatory incentives encouraged over-leveraging of companies and decisions to bear extraordinary and unjustified risk. The Enron scandal deeply influenced
9680-419: The needs of decision-makers. Financial accounting produces past-oriented reports—for example financial statements are often published six to ten months after the end of the accounting period—on an annual or quarterly basis, generally about the organization as a whole. Management accounting focuses on the measurement, analysis and reporting of information that can help managers in making decisions to fulfill
9790-479: The number 7 as the basis for the Jewish week might have had an Assyrian or Babylonian origin, yet it is crucial to remember that the ancient dwellers of Mesopotamia themselves did not have a seven-day week." The astrological concept of planetary hours is an innovation of Hellenistic astrology, probably first conceived in the 2nd century BCE. The seven-day week was widely known throughout the Roman Empire by
9900-599: 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. The development of counting led to the development of mathematical notation , numeral systems , and writing . Verbal counting involves speaking sequential numbers aloud or mentally to track progress. Generally such counting
10010-484: The path of the Moon , a week is 23.659% of an average lunation or 94.637% of an average quarter lunation. Historically, the system of dominical letters (letters A to G identifying the weekday of the first day of a given year) has been used to facilitate calculation of the day of week . The day of the week can be easily calculated given a date's Julian day number (JD, i.e. the integer value at noon UT ): Adding one to
10120-612: The planetary system was brought to Japan by the Japanese monk Kūkai (9th century). Surviving diaries of the Japanese statesman Fujiwara Michinaga show the seven-day system in use in Heian Period Japan as early as 1007. In Japan, the seven-day system was kept in use for astrological purposes until its promotion to a full-fledged Western-style calendrical basis during the Meiji Period (1868–1912). The seven-day week
10230-492: The range of the set has been made certain by the use of the word "inclusive". The answer is 6; that is 8-3+1, where the +1 range adjustment makes the adjusted exclusive count numerically equivalent to an inclusive count, even though the range of the inclusive count does not include the number eight unit interval. So, it's necessary to discern the difference in usage between the terms "inclusive counting" and "inclusive" or "inclusively", and one must recognize that it's not uncommon for
10340-444: The reporting of an organization's financial information to external users of the information, such as investors, potential investors and creditors. It calculates and records business transactions and prepares financial statements for the external users in accordance with generally accepted accounting principles (GAAP). GAAP, in turn, arises from the wide agreement between accounting theory and practice, and changes over time to meet
10450-415: The reporting of an organization's financial information, including the preparation of financial statements , to the external users of the information, such as investors, regulators and suppliers . Management accounting focuses on the measurement, analysis and reporting of information for internal use by management to enhance business operations. The recording of financial transactions, so that summaries of
10560-448: The rest of the world. In English, the names of the days of the week are Sunday , Monday , Tuesday , Wednesday , Thursday , Friday , and Saturday . In many languages, including English, the days of the week are named after gods or classical planets. Saturday has kept its Roman name, while the other six days use Germanic equivalents. Such a week may be called a planetary week (i.e., a classical planetary week). Certain weeks within
10670-441: The same element of Y ); this follows from the former principle, since if f were injective, then so would its restriction to a strict subset S of X with m elements, which restriction would then be surjective, contradicting the fact that for x in X outside S , f ( x ) cannot be in the image of the restriction. Similar counting arguments can prove the existence of certain objects without explicitly providing an example. In
10780-404: The sense of establishing (the existence of) a bijection with some well-understood set. For instance, if a set can be brought into bijection with the set of all natural numbers, then it is called " countably infinite ." This kind of counting differs in a fundamental way from counting of finite sets, in that adding new elements to a set does not necessarily increase its size, because the possibility of
10890-456: The seven classical planets , which included the Sun and Moon. This naming system persisted alongside an "ecclesiastical" tradition of numbering the days in ecclesiastical Latin beginning with Dominica (the Lord's Day ) as the first day. The Greco-Roman gods associated with the classical planets were rendered in their interpretatio germanica at some point during the late Roman Empire, yielding
11000-404: The seventh day, from sundown Friday to sundown Saturday, in honor of God's creation of the world in six days and then resting on the seventh. Most Christians observe Sunday (the Lord's Day ), the first day of the week in traditional Christian calendars, in honor of the resurrection of Jesus . Muslims observe their "day of congregation" , known as yaum al- jum`ah , on Friday because it
11110-418: The start of the first interval and ending with end of the last interval. This results in a count which is always greater by one when using inclusive counting, as compared to using exclusive counting, for the same set. Apparently, the introduction of the number zero to the number line resolved this difficulty; however, inclusive counting is still useful for some things. Refer also to the fencepost error , which
11220-636: The tort of negligence . The primary responsibility for the prevention and detection of fraud and errors rests with the entity's management. sennight A week is a unit of time equal to seven days . It is the standard time period used for short cycles of days in most parts of the world. The days are often used to indicate common work days and rest days, as well as days of worship . Weeks are often mapped against yearly calendars . Ancient cultures had different "week" lengths, including ten in Egypt and an eight-day week for Etruscans . The Etruscan week
11330-468: The universe by Allah. Abu Huraira reported that Muhammad said: Allah, the Exalted and Glorious, created the clay on Saturday and He created the mountains on Sunday and He created the trees on Monday and He created the things entailing labour on Tuesday and created light on Wednesday and He caused the animals to spread on Thursday and created Adam after 'Asr on Friday; the last creation at the last hour of
11440-416: The use of deception. It is a criminal act and a breach of civil tort. It may involve collusion with third parties. An accounting error is an unintentional misstatement or omission in the accounting records, for example misinterpretation of facts, mistakes in processing data, or oversights leading to incorrect estimates. Acts leading to accounting errors are not criminal but may breach civil law, for example,
11550-459: The week are designated the first and the last, though virtually all have Saturday, Sunday or Monday as the first day. The Geneva -based ISO standards organization uses Monday as the first day of the week in its ISO week date system through the international ISO 8601 standard. Most of Europe and China consider Monday the first day of the (work) week, while North America, Israel, South Asia, and many Catholic and Protestant countries, consider Sunday
11660-670: Was adopted by the ancient Romans , but they later moved to a seven-day week, which had spread across Western Asia and the Eastern Mediterranean due to the influence of the Christian seven-day week, which is rooted in the Jewish seven-day week. In 321 CE, Emperor Constantine the Great officially decreed a seven-day week in the Roman Empire, including making Sunday a public holiday. This later spread across Europe, then
11770-474: Was apparently discussed in Plutarch in a treatise written in c. 100 CE, which is reported to have addressed the question of Why are the days named after the planets reckoned in a different order from the actual order? (the text of Plutarch's treatise has been lost). Dio Cassius (early 3rd century) gives two explanations in a section of his Historia Romana after mentioning the Jewish practice of sanctifying
11880-635: Was described as a sacred day of congregational worship in the Quran . The English word week comes from the Old English wice , ultimately from a Common Germanic * wikōn- , from a root * wik- "turn, move, change". The Germanic word probably had a wider meaning prior to the adoption of the Roman calendar , perhaps "succession series", as suggested by Gothic wikō translating taxis "order" in Luke 1:8. The seven-day week
11990-799: Was known in India by the 6th century, referenced in the Pañcasiddhāntikā . Shashi (2000) mentions the Garga Samhita , which he places in the 1st century BCE or CE, as a possible earlier reference to a seven-day week in India. He concludes "the above references furnish a terminus ad quem (viz. 1st century) The terminus a quo cannot be stated with certainty". The seven-day weekly cycle has remained unbroken in Christendom , and hence in Western history , for almost two millennia, despite changes to
12100-581: Was received by the Greeks in the 4th century BCE (notably via Eudoxus of Cnidus ). Although some sources, such as the Encyclopædia Britannica, state that the Babylonians named the days of the week after the five planets, the sun, and the moon, many scholars disagree. Eviatar Zerubavel says, "the establishment of a seven-day week based on the regular observance of the Sabbath is a distinctively Jewish contribution to civilization. The choice of
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