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Counting Book
Counting is the process of determining the number of elements of a finite set of objects, i.e., 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 countin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called ''numerals''; for example, "5" is a numeral that represents the number five. As only a relatively small number of symbols can be memorized, basic numerals are commonly organized in a numeral system, which is an organized way to represent any number. The most common numeral system is the Hindu–Arabic numeral system, which allows for the representation of any number using a combination of ten fundamental numeric symbols, called digits. In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial numbers), and for codes (as with ISBNs). In common usage, a ''numeral'' is not clearly distinguished from the ''number'' th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phalanges
The phalanges (singular: ''phalanx'' ) are digital bones in the hands and feet of most vertebrates. In primates, the thumbs and big toes have two phalanges while the other digits have three phalanges. The phalanges are classed as long bones. Structure The phalanges are the bones that make up the fingers of the hand and the toes of the foot. There are 56 phalanges in the human body, with fourteen on each hand and foot. Three phalanges are present on each finger and toe, with the exception of the thumb and large toe, which possess only two. The middle and far phalanges of the fifth toes are often fused together (symphalangism). The phalanges of the hand are commonly known as the finger bones. The phalanges of the foot differ from the hand in that they are often shorter and more compressed, especially in the proximal phalanges, those closest to the torso. A phalanx is named according to whether it is proximal, middle, or distal and its associated finger or toe. The proximal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
One-to-one Correspondence
In mathematics, a bijection, also known as a bijective function, one-to-one correspondence, or invertible function, is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set. There are no unpaired elements. In mathematical terms, a bijective function is a one-to-one (injective) and onto (surjective) mapping of a set ''X'' to a set ''Y''. The term ''one-to-one correspondence'' must not be confused with ''one-to-one function'' (an injective function; see figures). A bijection from the set ''X'' to the set ''Y'' has an inverse function from ''Y'' to ''X''. If ''X'' and ''Y'' are finite sets, then the existence of a bijection means they have the same number of elements. For infinite sets, the picture is more complicated, leading to the concept of cardinal number—a way to distinguish the various sizes of infinite sets. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Subitize
Subitizing is the rapid, accurate, and confident judgments of numbers performed for small numbers of items. The term was coined in 1949 by E. L. Kaufman et al., and is derived from the Latin adjective '' subitus'' (meaning "sudden") and captures a feeling of immediately knowing how many items lie within the visual scene, when the number of items present falls within the subitizing range. Sets larger than about four items cannot be subitized unless the items appear in a pattern with which the person is familiar (such as the six dots on one face of a die). Large, familiar sets might be counted one-by-one (or the person might calculate the number through a rapid calculation if they can mentally group the elements into a few small sets). A person could also estimate the number of a large set—a skill similar to, but different from, subitizing. The accuracy, speed, and confidence with which observers make judgments of the number of items are critically dependent on the number of ele ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brian Butterworth
Brian Lewis Butterworth FBA (born 3 January 1944) is emeritus professor of cognitive neuropsychology in the Institute of Cognitive Neuroscience at University College London, England. His research has ranged from speech errors and pauses, short-term memory deficits, reading and the dyslexias both in alphabetic scripts and Chinese, and mathematics and dyscalculia. He has also pioneered educational neuroscience, notably in the study of learners with special educational needs (''Educational Neuroscience'', 2013). He read psychology and philosophy at Oxford University (1963-1966). He completed an MA on Gödel's theorem at Sussex University (1967-1968) under the direction of Peter Nidditch, and a PhD in psycholinguistics at UCL supervised by Frieda Goldman-Eisler, the first professor of psycholinguistics in the UK. Psycholinguistics His early work, following Goldman-Eisler's pioneering studies, explored the functions of pauses in speech. He confirmed that pauses are required for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Octave
In music, an octave ( la, octavus: eighth) or perfect octave (sometimes called the diapason) is the interval between one musical pitch and another with double its frequency. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music," the use of which is "common in most musical systems." The interval between the first and second harmonics of the harmonic series is an octave. In Western music notation, notes separated by an octave (or multiple octaves) have the same name and are of the same pitch class. To emphasize that it is one of the perfect intervals (including unison, perfect fourth, and perfect fifth), the octave is designated P8. Other interval qualities are also possible, though rare. The octave above or below an indicated note is sometimes abbreviated ''8a'' or ''8va'' ( it, all'ottava), ''8va bassa'' ( it, all'ottava bassa, sometimes also ''8vb''), or simply ''8'' for the octave in the direction indicated by placing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interval (music)
In music theory, an interval is a difference in pitch between two sounds. An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord. In Western music, intervals are most commonly differences between notes of a diatonic scale. Intervals between successive notes of a scale are also known as scale steps. The smallest of these intervals is a semitone. Intervals smaller than a semitone are called microtones. They can be formed using the notes of various kinds of non-diatonic scales. Some of the very smallest ones are called commas, and describe small discrepancies, observed in some tuning systems, between enharmonically equivalent notes such as C and D. Intervals can be arbitrarily small, and even imperceptible to the human ear. In physical terms, an interval is the ratio between two sonic freq ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quinquagesima
Quinquagesima (), in the Western Christian Churches, is the last Sunday of Shrovetide, being the Sunday before Ash Wednesday. It is also called Quinquagesima Sunday, Quinquagesimae, Estomihi, Shrove Sunday, Pork Sunday, or the Sunday next before Lent. Quinquagesima Sunday, being the Lord's Day prior to the start of the Lenten season, is known for its meat consumption as people wished to feast before starting their fast on Ash Wednesday, the first day of Lent. Historically Lutheran countries such as Denmark mark Quinquagesima Sunday as the peak of the Fastelavn. After attending the Divine Service on Shrove Sunday, congregants enjoy Shrovetide buns (fastelavnsboller). Children often dress up and collect money from people while singing. Christians in these nations carry Shrovetide rods (fastelavnsris), which "branches decorated with sweets, little presents, etc., that are used to decorate the home or give to children." In the Revised Common Lectionary the Sunday before Lent is des ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
History Of Taxation In The United Kingdom
The history of taxation in the United Kingdom includes the history of all collections by governments under law, in money or in kind, including collections by monarchs and lesser feudal lords, levied on persons or property subject to the government, with the primary purpose of raising revenue. Background Prior to the formation of the United Kingdom in 1707, taxation had been levied in the countries that joined to become the UK. For example, in England, King John introduced an export tax on wool in 1203 and King Edward I introduced taxes on wine in 1275. Also in England, a Poor Law tax was established in 1572 to help the deserving poor, and then changed from a local tax to a national tax in 1601. In June 1628, England's Parliament passed the Petition of Right which among other measures, prohibited the use of taxes without its agreement. This prevented the Crown from creating arbitrary taxes and imposing them upon subjects without consultation. One of the key taxes introduced b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, but are typically not the basis for them, as weeks are not based on astronomy. The modern seven-day week can be traced back to the Babylonians, who used it within their calendar. Other ancient cultures had different week lengths, including ten in Egypt and an eight-day week for Etruscans. The Etruscan week 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. In 321 AD, Emperor Constantine officially decreed a seven-day week in the Roman Empire, including making Sunday a public holiday. This later spread across Europe, then the rest of the world. In English, the names of the days of the week are Monday, Tuesday ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fortnight
A fortnight is a unit of time equal to 14 days (two weeks). The word derives from the Old English term , meaning "" (or "fourteen days," since the Anglo-Saxons counted by nights). Astronomy and tides In astronomy, a ''lunar fortnight'' is half a lunar synodic month, which is equivalent to the mean period between a full moon and a new moon (and vice versa). This is equal to 14.77 days. It gives rise to a lunar fortnightly tidal constituent (see: Long-period tides). Analogs in other languages In many languages, there is no single word for a two-week period, and the equivalent terms "two weeks", "14 days", or "15 days" ( counting inclusively) have to be used. * Celtic languages: in Welsh, the term ''pythefnos'', meaning "15 nights", is used. This is in keeping with the Welsh term for a week, which is ''wythnos'' ("eight nights"). In Irish, the term is ''coicís''. * Similarly, in Greek, the term δεκαπενθήμερο (''dekapenthímero''), meaning "15 days", is used. * T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Romance Language
The Romance languages, sometimes referred to as Latin languages or Neo-Latin languages, are the various modern languages that evolved from Vulgar Latin. They are the only extant subgroup of the Italic languages in the Indo-European languages, Indo-European language family. The five list of languages by number of native speakers, most widely spoken Romance languages by number of native speakers are Spanish language, Spanish (489 million), Portuguese language, Portuguese (283 million), French language, French (77 million), Italian language, Italian (67 million) and Romanian language, Romanian (24 million), which are all national languages of their respective countries of origin. By most measures, Sardinian language, Sardinian and Italian are the least divergent from Latin, while French has changed the most. However, all Romance languages are closer to each other than to classical Latin. There are more than 900 million native speakers of Romance languages found worldwide, mainl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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