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6,200 | where "t" and are the "p"th quantiles of the "t"- and "χ"-distributions respectively. These confidence intervals are of the "confidence level" , meaning that the true values "μ" and "σ" fall outside of these intervals with probability (or significance level) "α". In practice people usually take , resulting in the 95% c... | https://en.wikipedia.org/wiki?curid=21462 |
6,201 | The approximate formulas become valid for large values of "n", and are more convenient for the manual calculation since the standard normal quantiles "z" do not depend on "n". In particular, the most popular value of , results in . | https://en.wikipedia.org/wiki?curid=21462 |
6,202 | Normality tests assess the likelihood that the given data set {"x", ..., "x"} comes from a normal distribution. Typically the null hypothesis "H" is that the observations are distributed normally with unspecified mean "μ" and variance "σ", versus the alternative "H" that the distribution is arbitrary. Many tests (over ... | https://en.wikipedia.org/wiki?curid=21462 |
6,203 | Diagnostic plots are more intuitively appealing but subjective at the same time, as they rely on informal human judgement to accept or reject the null hypothesis. | https://en.wikipedia.org/wiki?curid=21462 |
6,204 | Bayesian analysis of normally distributed data is complicated by the many different possibilities that may be considered: | https://en.wikipedia.org/wiki?curid=21462 |
6,205 | The following auxiliary formula is useful for simplifying the posterior update equations, which otherwise become fairly tedious. | https://en.wikipedia.org/wiki?curid=21462 |
6,206 | This equation rewrites the sum of two quadratics in "x" by expanding the squares, grouping the terms in "x", and completing the square. Note the following about the complex constant factors attached to some of the terms: | https://en.wikipedia.org/wiki?curid=21462 |
6,207 | A similar formula can be written for the sum of two vector quadratics: If x, y, z are vectors of length "k", and A and B are symmetric, invertible matrices of size formula_427, then | https://en.wikipedia.org/wiki?curid=21462 |
6,208 | In other words, it sums up all possible combinations of products of pairs of elements from x, with a separate coefficient for each. In addition, since formula_431, only the sum formula_432 matters for any off-diagonal elements of A, and there is no loss of generality in assuming that A is symmetric. Furthermore, if A i... | https://en.wikipedia.org/wiki?curid=21462 |
6,209 | For a set of i.i.d. normally distributed data points X of size "n" where each individual point "x" follows formula_436 with known variance σ, the conjugate prior distribution is also normally distributed. | https://en.wikipedia.org/wiki?curid=21462 |
6,210 | This can be shown more easily by rewriting the variance as the precision, i.e. using τ = 1/σ. Then if formula_437 and formula_438 we proceed as follows. | https://en.wikipedia.org/wiki?curid=21462 |
6,211 | First, the likelihood function is (using the formula above for the sum of differences from the mean): | https://en.wikipedia.org/wiki?curid=21462 |
6,212 | In the above derivation, we used the formula above for the sum of two quadratics and eliminated all constant factors not involving "μ". The result is the kernel of a normal distribution, with mean formula_441 and precision formula_442, i.e. | https://en.wikipedia.org/wiki?curid=21462 |
6,213 | This can be written as a set of Bayesian update equations for the posterior parameters in terms of the prior parameters: | https://en.wikipedia.org/wiki?curid=21462 |
6,214 | That is, to combine "n" data points with total precision of "nτ" (or equivalently, total variance of "n"/"σ") and mean of values formula_445, derive a new total precision simply by adding the total precision of the data to the prior total precision, and form a new mean through a "precision-weighted average", i.e. a wei... | https://en.wikipedia.org/wiki?curid=21462 |
6,215 | The above formula reveals why it is more convenient to do Bayesian analysis of conjugate priors for the normal distribution in terms of the precision. The posterior precision is simply the sum of the prior and likelihood precisions, and the posterior mean is computed through a precision-weighted average, as described a... | https://en.wikipedia.org/wiki?curid=21462 |
6,216 | For a set of i.i.d. normally distributed data points X of size "n" where each individual point "x" follows formula_436 with known mean μ, the conjugate prior of the variance has an inverse gamma distribution or a scaled inverse chi-squared distribution. The two are equivalent except for having different parameterizatio... | https://en.wikipedia.org/wiki?curid=21462 |
6,217 | For a set of i.i.d. normally distributed data points X of size "n" where each individual point "x" follows formula_436 with unknown mean μ and unknown variance σ, a combined (multivariate) conjugate prior is placed over the mean and variance, consisting of a normal-inverse-gamma distribution. | https://en.wikipedia.org/wiki?curid=21462 |
6,218 | The respective numbers of pseudo-observations add the number of actual observations to them. The new mean hyperparameter is once again a weighted average, this time weighted by the relative numbers of observations. Finally, the update for formula_458 is similar to the case with known mean, but in this case the sum of s... | https://en.wikipedia.org/wiki?curid=21462 |
6,219 | &= \frac{(\sigma_0^2\nu_0/2)^{\nu_0/2}}{\Gamma(\nu_0/2)}~\frac{\exp\left[ \frac{-\nu_0 \sigma_0^2}{2 \sigma^2}\right]}{(\sigma^2)^{1+\nu_0/2}} \\ | https://en.wikipedia.org/wiki?curid=21462 |
6,220 | In other words, the posterior distribution has the form of a product of a normal distribution over "p"("μ" | "σ") times an inverse gamma distribution over "p"(σ), with parameters that are the same as the update equations above. | https://en.wikipedia.org/wiki?curid=21462 |
6,221 | The occurrence of normal distribution in practical problems can be loosely classified into four categories: | https://en.wikipedia.org/wiki?curid=21462 |
6,222 | Certain quantities in physics are distributed normally, as was first demonstrated by James Clerk Maxwell. Examples of such quantities are: | https://en.wikipedia.org/wiki?curid=21462 |
6,223 | "Approximately" normal distributions occur in many situations, as explained by the central limit theorem. When the outcome is produced by many small effects acting "additively and independently", its distribution will be close to normal. The normal approximation will not be valid if the effects act multiplicatively (in... | https://en.wikipedia.org/wiki?curid=21462 |
6,224 | There are statistical methods to empirically test that assumption; see the above Normality tests section. | https://en.wikipedia.org/wiki?curid=21462 |
6,225 | John Ioannidis argues that using normally distributed standard deviations as standards for validating research findings leave falsifiable predictions about phenomena that are not normally distributed untested. This includes, for example, phenomena that only appear when all necessary conditions are present and one canno... | https://en.wikipedia.org/wiki?curid=21462 |
6,226 | In computer simulations, especially in applications of the Monte-Carlo method, it is often desirable to generate values that are normally distributed. The algorithms listed below all generate the standard normal deviates, since a can be generated as , where "Z" is standard normal. All these algorithms rely on the avail... | https://en.wikipedia.org/wiki?curid=21462 |
6,227 | The values Φ("x") may be approximated very accurately by a variety of methods, such as numerical integration, Taylor series, asymptotic series and continued fractions. Different approximations are used depending on the desired level of accuracy. | https://en.wikipedia.org/wiki?curid=21462 |
6,228 | Shore (1982) introduced simple approximations that may be incorporated in stochastic optimization models of engineering and operations research, like reliability engineering and inventory analysis. Denoting , the simplest approximation for the quantile function is: | https://en.wikipedia.org/wiki?curid=21462 |
6,229 | This approximation delivers for "z" a maximum absolute error of 0.026 (for , corresponding to ). For replace "p" by and change sign. Another approximation, somewhat less accurate, is the single-parameter approximation: | https://en.wikipedia.org/wiki?curid=21462 |
6,230 | The latter had served to derive a simple approximation for the loss integral of the normal distribution, defined by | https://en.wikipedia.org/wiki?curid=21462 |
6,231 | This approximation is particularly accurate for the right far-tail (maximum error of 10 for z≥1.4). Highly accurate approximations for the CDF, based on Response Modeling Methodology (RMM, Shore, 2011, 2012), are shown in Shore (2005). | https://en.wikipedia.org/wiki?curid=21462 |
6,232 | Some more approximations can be found at: Error function#Approximation with elementary functions. In particular, small "relative" error on the whole domain for the CDF formula_68 and the quantile function formula_474 as well, is achieved via an explicitly invertible formula by Sergei Winitzki in 2008. | https://en.wikipedia.org/wiki?curid=21462 |
6,233 | Some authors attribute the credit for the discovery of the normal distribution to de Moivre, who in 1738 published in the second edition of his ""The Doctrine of Chances"" the study of the coefficients in the binomial expansion of . De Moivre proved that the middle term in this expansion has the approximate magnitude o... | https://en.wikipedia.org/wiki?curid=21462 |
6,234 | In 1823 Gauss published his monograph ""Theoria combinationis observationum erroribus minimis obnoxiae"" where among other things he introduces several important statistical concepts, such as the method of least squares, the method of maximum likelihood, and the "normal distribution". Gauss used "M", , to denote the me... | https://en.wikipedia.org/wiki?curid=21462 |
6,235 | where "h" is "the measure of the precision of the observations". Using this normal law as a generic model for errors in the experiments, Gauss formulates what is now known as the non-linear weighted least squares method. | https://en.wikipedia.org/wiki?curid=21462 |
6,236 | Although Gauss was the first to suggest the normal distribution law, Laplace made significant contributions. It was Laplace who first posed the problem of aggregating several observations in 1774, although his own solution led to the Laplacian distribution. It was Laplace who first calculated the value of the integral ... | https://en.wikipedia.org/wiki?curid=21462 |
6,237 | It is of interest to note that in 1809 an Irish-American mathematician Robert Adrain published two insightful but flawed derivations of the normal probability law, simultaneously and independently from Gauss. His works remained largely unnoticed by the scientific community, until in 1871 they were exhumed by Abbe. | https://en.wikipedia.org/wiki?curid=21462 |
6,238 | In the middle of the 19th century Maxwell demonstrated that the normal distribution is not just a convenient mathematical tool, but may also occur in natural phenomena: "The number of particles whose velocity, resolved in a certain direction, lies between "x" and "x" + "dx" is | https://en.wikipedia.org/wiki?curid=21462 |
6,239 | Today, the concept is usually known in English as the normal distribution or Gaussian distribution. Other less common names include Gauss distribution, Laplace-Gauss distribution, the law of error, the law of facility of errors, Laplace's second law, Gaussian law. | https://en.wikipedia.org/wiki?curid=21462 |
6,240 | Gauss himself apparently coined the term with reference to the "normal equations" involved in its applications, with normal having its technical meaning of orthogonal rather than "usual". However, by the end of the 19th century some authors had started using the name "normal distribution", where the word "normal" was u... | https://en.wikipedia.org/wiki?curid=21462 |
6,241 | Also, it was Pearson who first wrote the distribution in terms of the standard deviation "σ" as in modern notation. Soon after this, in year 1915, Fisher added the location parameter to the formula for normal distribution, expressing it in the way it is written nowadays: | https://en.wikipedia.org/wiki?curid=21462 |
6,242 | The term "standard normal", which denotes the normal distribution with zero mean and unit variance came into general use around the 1950s, appearing in the popular textbooks by P. G. Hoel (1947) ""Introduction to mathematical statistics"" and A. M. Mood (1950) ""Introduction to the theory of statistics"". | https://en.wikipedia.org/wiki?curid=21462 |
6,243 | Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power of the Roman Republic it became the dominant language in the Italian region and subse... | https://en.wikipedia.org/wiki?curid=17730 |
6,244 | Latin is a highly inflected language, with three distinct genders (masculine, feminine, and neuter), six or seven noun cases (nominative, accusative, genitive, dative, ablative, and vocative), five declensions, four verb conjugations, six tenses (present, imperfect, future, perfect, pluperfect, and future perfect), thr... | https://en.wikipedia.org/wiki?curid=17730 |
6,245 | By the late Roman Republic (75 BC), Old Latin had been standardized into Classical Latin used by educated elites. Vulgar Latin was the colloquial form spoken at that time among lower-class commoners and attested in inscriptions and the works of comic playwrights Plautus and Terence and author Petronius. Late Latin is t... | https://en.wikipedia.org/wiki?curid=17730 |
6,246 | Latin has also greatly influenced the English language and historically contributed many words to the English lexicon after the Christianization of Anglo-Saxons and the Norman conquest. In particular, Latin (and Ancient Greek) roots are still used in English descriptions of theology, science disciplines (especially ana... | https://en.wikipedia.org/wiki?curid=17730 |
6,247 | A number of historical phases of the language have been recognized, each distinguished by subtle differences in vocabulary, usage, spelling, morphology, and syntax. There are no hard and fast rules of classification; different scholars emphasize different features. As a result, the list has variants, as well as alterna... | https://en.wikipedia.org/wiki?curid=17730 |
6,248 | In addition to the historical phases, Ecclesiastical Latin refers to the styles used by the writers of the Roman Catholic Church from late antiquity onward, as well as by Protestant scholars. | https://en.wikipedia.org/wiki?curid=17730 |
6,249 | After the Western Roman Empire fell in 476 and Germanic kingdoms took its place, the Germanic people adopted Latin as a language more suitable for legal and other, more formal uses. | https://en.wikipedia.org/wiki?curid=17730 |
6,250 | The earliest known form of Latin is Old Latin, which was spoken from the Roman Kingdom to the later part of the Roman Republic period. It is attested both in inscriptions and in some of the earliest extant Latin literary works, such as the comedies of Plautus and Terence. The Latin alphabet was devised from the Etrusca... | https://en.wikipedia.org/wiki?curid=17730 |
6,251 | During the late republic and into the first years of the empire, a new Classical Latin arose, a conscious creation of the orators, poets, historians and other literate men, who wrote the great works of classical literature, which were taught in grammar and rhetoric schools. Today's instructional grammars trace their ro... | https://en.wikipedia.org/wiki?curid=17730 |
6,252 | Philological analysis of Archaic Latin works, such as those of Plautus, which contain fragments of everyday speech, indicates that a spoken language, Vulgar Latin (termed , "the speech of the masses", by Cicero), existed concurrently with literate Classical Latin. The informal language was rarely written, so philologis... | https://en.wikipedia.org/wiki?curid=17730 |
6,253 | As it was free to develop on its own, there is no reason to suppose that the speech was uniform either diachronically or geographically. On the contrary, Romanised European populations developed their own dialects of the language, which eventually led to the differentiation of Romance languages. | https://en.wikipedia.org/wiki?curid=17730 |
6,254 | The Romance languages descend from Vulgar Latin and were originally the popular and informal dialects spoken by various layers of the Latin-speaking population. These dialects were distinct from the classical form of the language spoken by the Roman upper classes, the form in which Romans generally wrote. | https://en.wikipedia.org/wiki?curid=17730 |
6,255 | The decline of the Roman Empire meant a deterioration in educational standards that brought about Late Latin, a postclassical stage of the language seen in Christian writings of the time. It was more in line with everyday speech, not only because of a decline in education but also because of a desire to spread the word... | https://en.wikipedia.org/wiki?curid=17730 |
6,256 | Currently, the five most widely spoken Romance languages by number of native speakers are Spanish, Portuguese, French, Italian and Romanian. Despite dialectal variation, which is found in any widespread language, the languages of Spain, France, Portugal, and Italy have retained a remarkable unity in phonological forms ... | https://en.wikipedia.org/wiki?curid=17730 |
6,257 | One key marker of whether a given Romance feature was found in Vulgar Latin is to compare it with its parallel in Classical Latin. If it was not preferred in Classical Latin, then it most likely came from the undocumented contemporaneous Vulgar Latin. For example, the Romance for "horse" (Italian , French , Spanish , P... | https://en.wikipedia.org/wiki?curid=17730 |
6,258 | Vulgar Latin began to diverge into distinct languages by the 9th century at the latest, when the earliest extant Romance writings begin to appear. They were, throughout the period, confined to everyday speech, as Medieval Latin was used for writing. | https://en.wikipedia.org/wiki?curid=17730 |
6,259 | Medieval Latin is the written Latin in use during that portion of the postclassical period when no corresponding Latin vernacular existed. The spoken language had developed into the various incipient Romance languages; however, in the educated and official world, Latin continued without its natural spoken base. Moreove... | https://en.wikipedia.org/wiki?curid=17730 |
6,260 | Without the institutions of the Roman Empire that had supported its uniformity, medieval Latin lost its linguistic cohesion: for example, in classical Latin and are used as auxiliary verbs in the perfect and pluperfect passive, which are compound tenses. Medieval Latin might use and instead. Furthermore, the meanings o... | https://en.wikipedia.org/wiki?curid=17730 |
6,261 | The Renaissance briefly reinforced the position of Latin as a spoken language by its adoption by the Renaissance Humanists. Often led by members of the clergy, they were shocked by the accelerated dismantling of the vestiges of the classical world and the rapid loss of its literature. They strove to preserve what they ... | https://en.wikipedia.org/wiki?curid=17730 |
6,262 | During the Early Modern Age, Latin still was the most important language of culture in Europe. Therefore, until the end of the 17th century, the majority of books and almost all diplomatic documents were written in Latin. Afterwards, most diplomatic documents were written in French (a Romance language) and later native... | https://en.wikipedia.org/wiki?curid=17730 |
6,263 | Despite having no native speakers, Latin is still used for a variety of purposes in the contemporary world. | https://en.wikipedia.org/wiki?curid=17730 |
6,264 | The largest organisation that retains Latin in official and quasi-official contexts is the Catholic Church. The Catholic Church required that Mass be carried out in Latin until the Second Vatican Council of 1962–1965, which permitted the use of the vernacular. Latin remains the language of the Roman Rite. The Tridentin... | https://en.wikipedia.org/wiki?curid=17730 |
6,265 | In the Anglican Church, after the publication of the "Book of Common Prayer" of 1559, a Latin edition was published in 1560 for use in universities such as Oxford and the leading "public schools" (English private academies), where the liturgy was still permitted to be conducted in Latin. There have been several Latin t... | https://en.wikipedia.org/wiki?curid=17730 |
6,266 | In the Philippines and in the Western world, many organizations, governments and schools use Latin for their mottos due to its association with formality, tradition, and the roots of Western culture. | https://en.wikipedia.org/wiki?curid=17730 |
6,267 | Canada's motto ("from sea to sea") and most provincial mottos are also in Latin. The Canadian Victoria Cross is modelled after the British Victoria Cross which has the inscription "For Valour". Because Canada is officially bilingual, the Canadian medal has replaced the English inscription with the Latin . | https://en.wikipedia.org/wiki?curid=17730 |
6,268 | Spain's motto "Plus ultra", meaning "even further", or figuratively "Further!", is also Latin in origin. It is taken from the personal motto of Charles V, Holy Roman Emperor and King of Spain (as Charles I), and is a reversal of the original phrase ("No land further beyond", "No further!"). According to legend, this ph... | https://en.wikipedia.org/wiki?curid=17730 |
6,269 | In the United States the unofficial national motto until 1956 was "E pluribus unum" meaning "Out of many, one". The motto continues to be featured on the Great Seal, it also appears on the flags and seals of both houses of congress and the flags of the states of Michigan, North Dakota, New York, and Wisconsin. The mott... | https://en.wikipedia.org/wiki?curid=17730 |
6,270 | Some colleges and universities have adopted Latin mottos, for example Harvard University's motto is ("truth"). Veritas was the goddess of truth, a daughter of Saturn, and the mother of Virtue. | https://en.wikipedia.org/wiki?curid=17730 |
6,271 | Switzerland has adopted the country's Latin short name on coins and stamps, since there is no room to use all of the nation's four official languages. For a similar reason, it adopted the international vehicle and internet code "CH", which stands for , the country's full Latin name. | https://en.wikipedia.org/wiki?curid=17730 |
6,272 | Some films of ancient settings, such as "Sebastiane" and "The Passion of the Christ", have been made with dialogue in Latin for the sake of realism. Occasionally, Latin dialogue is used because of its association with religion or philosophy, in such film/television series as "The Exorcist" and "Lost" ("Jughead"). Subti... | https://en.wikipedia.org/wiki?curid=17730 |
6,273 | The continued instruction of Latin is often seen as a highly valuable component of a liberal arts education. Latin is taught at many high schools, especially in Europe and the Americas. It is most common in British public schools and grammar schools, the Italian and , the German and the Dutch . | https://en.wikipedia.org/wiki?curid=17730 |
6,274 | A variety of organisations, as well as informal Latin 'circuli' ('circles'), have been founded in more recent times to support the use of spoken Latin. Moreover, a number of university classics departments have begun incorporating communicative pedagogies in their Latin courses. These include the University of Kentucky... | https://en.wikipedia.org/wiki?curid=17730 |
6,275 | There are many websites and forums maintained in Latin by enthusiasts. The Latin Wikipedia has more than 130,000 articles. | https://en.wikipedia.org/wiki?curid=17730 |
6,276 | Urdaneta City's motto ("It is enough for the people to serve God") the Latin motto can be read in the old seal of this Philippine city. | https://en.wikipedia.org/wiki?curid=17730 |
6,277 | Italian, French, Portuguese, Spanish, Romanian, Catalan, Romansh and other Romance languages are direct descendants of Latin. There are also many Latin borrowings in English and Albanian, as well as a few in German, Dutch, Norwegian, Danish and Swedish. Latin is still spoken in Vatican City, a city-state situated in Ro... | https://en.wikipedia.org/wiki?curid=17730 |
6,278 | Some inscriptions have been published in an internationally agreed, monumental, multivolume series, the (CIL). Authors and publishers vary, but the format is about the same: volumes detailing inscriptions with a critical apparatus stating the provenance and relevant information. The reading and interpretation of these ... | https://en.wikipedia.org/wiki?curid=17730 |
6,279 | The works of several hundred ancient authors who wrote in Latin have survived in whole or in part, in substantial works or in fragments to be analyzed in philology. They are in part the subject matter of the field of classics. Their works were published in manuscript form before the invention of printing and are now pu... | https://en.wikipedia.org/wiki?curid=17730 |
6,280 | Latin translations of modern literature such as: "The Hobbit", "Treasure Island", "Robinson Crusoe", "Paddington Bear", "Winnie the Pooh", "The Adventures of Tintin", "Asterix", "Harry Potter", , "Max and Moritz", "How the Grinch Stole Christmas!", "The Cat in the Hat", and a book of fairy tales, "", are intended to ga... | https://en.wikipedia.org/wiki?curid=17730 |
6,281 | The Latin influence in English has been significant at all stages of its insular development. In the Middle Ages, borrowing from Latin occurred from ecclesiastical usage established by Saint Augustine of Canterbury in the 6th century or indirectly after the Norman Conquest, through the Anglo-Norman language. From the 1... | https://en.wikipedia.org/wiki?curid=17730 |
6,282 | The influence of Roman governance and Roman technology on the less-developed nations under Roman dominion led to the adoption of Latin phraseology in some specialized areas, such as science, technology, medicine, and law. For example, the Linnaean system of plant and animal classification was heavily influenced by "His... | https://en.wikipedia.org/wiki?curid=17730 |
6,283 | A few international auxiliary languages have been heavily influenced by Latin. Interlingua is sometimes considered a simplified, modern version of the language. Latino sine Flexione, popular in the early 20th century, is Latin with its inflections stripped away, among other grammatical changes. | https://en.wikipedia.org/wiki?curid=17730 |
6,284 | Throughout European history, an education in the classics was considered crucial for those who wished to join literate circles. This also was true in the United States where many of the nation's Founders obtained a classically-based education in grammar schools or from tutors. Admission to Harvard in the Colonial era r... | https://en.wikipedia.org/wiki?curid=17730 |
6,285 | Instruction in Latin is an essential aspect. In today's world, a large number of Latin students in the US learn from "Wheelock's Latin: The Classic Introductory Latin Course, Based on Ancient Authors". This book, first published in 1956, was written by Frederic M. Wheelock, who received a PhD from Harvard University. "... | https://en.wikipedia.org/wiki?curid=17730 |
6,286 | The Living Latin movement attempts to teach Latin in the same way that living languages are taught, as a means of both spoken and written communication. It is available in Vatican City and at some institutions in the US, such as the University of Kentucky and Iowa State University. The British Cambridge University Pres... | https://en.wikipedia.org/wiki?curid=17730 |
6,287 | In the United Kingdom, the Classical Association encourages the study of antiquity through various means, such as publications and grants. The University of Cambridge, the Open University, a number of prestigious independent schools, for example Eton, Harrow, Haberdashers' Aske's Boys' School, Merchant Taylors' School,... | https://en.wikipedia.org/wiki?curid=17730 |
6,288 | The ancient pronunciation of Latin has been reconstructed; among the data used for reconstruction are explicit statements about pronunciation by ancient authors, misspellings, puns, ancient etymologies, the spelling of Latin loanwords in other languages, and the historical development of Romance languages. | https://en.wikipedia.org/wiki?curid=17730 |
6,289 | In Old and Classical Latin, the Latin alphabet had no distinction between uppercase and lowercase, and the letters did not exist. In place of , were used, respectively; represented both vowels and consonants. Most of the letterforms were similar to modern uppercase, as can be seen in the inscription from the Colosseum ... | https://en.wikipedia.org/wiki?curid=17730 |
6,290 | The spelling systems used in Latin dictionaries and modern editions of Latin texts, however, normally use in place of Classical-era . Some systems use for the consonant sounds except in the combinations for which is never used. | https://en.wikipedia.org/wiki?curid=17730 |
6,291 | In Classical Latin, as in modern Italian, double consonant letters were pronounced as long consonant sounds distinct from short versions of the same consonants. Thus the "nn" in Classical Latin "year" (and in Italian ) is pronounced as a doubled as in English "unnamed". (In English, distinctive consonant length or doub... | https://en.wikipedia.org/wiki?curid=17730 |
6,292 | In Classical Latin, did not exist as a letter distinct from V; the written form was used to represent both a vowel and a consonant. was adopted to represent upsilon in loanwords from Greek, but it was pronounced like and by some speakers. It was also used in native Latin words by confusion with Greek words of similar m... | https://en.wikipedia.org/wiki?curid=17730 |
6,293 | Classical Latin distinguished between long and short vowels. Then, long vowels, except for , were frequently marked using the apex, which was sometimes similar to an acute accent . Long was written using a taller version of , called "long I": . In modern texts, long vowels are often indicated by a macron , and short vo... | https://en.wikipedia.org/wiki?curid=17730 |
6,294 | Long vowels in Classical Latin are, technically, pronounced as entirely different from short vowels. The difference is described in the table below: | https://en.wikipedia.org/wiki?curid=17730 |
6,295 | This difference in quality is posited by W. Sidney Allen in his book "Vox Latina". However, Andrea Calabrese has disputed that short vowels differed in quality from long vowels during the classical period, based in part upon the observation that in Sardinian and some Lucanian dialects, each long and short vowel pair wa... | https://en.wikipedia.org/wiki?curid=17730 |
6,296 | A vowel letter followed by at the end of a word, or a vowel letter followed by before or , represented a short nasal vowel, as in . | https://en.wikipedia.org/wiki?curid=17730 |
6,297 | Classical Latin had several diphthongs. The two most common were . was fairly rare, and were very rare, at least in native Latin words. There has also been debate over whether is truly a diphthong in Classical Latin, due to its rarity, absence in works of Roman grammarians, and the roots of Classical Latin words (i.e. ... | https://en.wikipedia.org/wiki?curid=17730 |
6,298 | The sequences sometimes did not represent diphthongs. and also represented a sequence of two vowels in different syllables in "of bronze" and "began", and represented sequences of two vowels or of a vowel and one of the semivowels , in "beware!", "whose", "I warned", "I released", "I destroyed", "his", and "new". | https://en.wikipedia.org/wiki?curid=17730 |
6,299 | Old Latin had more diphthongs, but most of them changed into long vowels in Classical Latin. The Old Latin diphthong and the sequence became Classical . Old Latin and changed to Classical , except in a few words whose became Classical . These two developments sometimes occurred in different words from the same root: fo... | https://en.wikipedia.org/wiki?curid=17730 |
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