How many arrangements of the word golden will the vowels never occur together?
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(i) The continued product of first n natural numbers is called the " n factorial" and is denoted by n or n!. Show
(ii) n!=1×2×3×4×...×(n-1)×n (iii) Factorials of proper fractions and negative integers are not defined. (iv) 0!=1 (v) (2n)!n!=1⋅3⋅5....2n-12n 2. Fundamental Principle of Multiplication: If there are two jobs such that one of them can be completed in m ways, and when it has been completed in any one of these m ways, second job can be completed in n ways, then the two jobs in succession can be completed in m×nways. 3. Fundamental Principle of Addition: If there are two jobs such that they can be performed independently in m and n ways respectively, then either of the two jobs can be performed in m+ n ways. 4. Permutations/Arrangements: (i) If nis a natural number and ris a positive integer such that 0≤r≤n, then nPr=n!(n-r)!. (ii) Permutation of n distinct objects taken rat a time=Prn. (iii) Permutation of ndistinct objects taken all at a time=Pnn=n!. (iv) Permutation of n objects taken all at a time of which p are alike=n!p!. (v) Permutations of nobjects of which pare alike of one kind, qare alike of second kind and remaining all are distinct=n!p! q!. (vi) Permutation of n objects such that p objects are never together=n!-n-p+1!. (vii) Permutation of n objects such that p objects are always together=n-p+1!. (viii) Gap method: Arrangement of boys and girls such that no two boys are together can be found by arranging all the girls first and then arranging the boys in the gaps. (ix) Permutation of n objects taken r at a time when repetition is allowed=nr. (x) Permutation of n objects taken all at a time when repetition is allowed=nn. 5. Circular Permutations: (i) Instead of arranging the objects in a line, if we arrange them in the form of a circle, we call them circular permutations. (ii) In circular permutations, what really matters is the position of an object relative to the others. There are two types of circular permutations: 6. Important Points to remember: (i) The number of circular permutations of n different objects is (n-1)! (ii) The number of ways in which n persons can be seated round a table is (n-1)! (iii) The number of ways in which n persons can be seated round a table is to form a necklace is 12(n-1)! 7. Combinations/Selections: (i) If nis a natural number and ris a positive integer such that 0≤r≤n, then nCr=n!(n-r)!r!. (ii) Selection of r objects out of n distinct objects=Crn. (iii) Selection of r objects from n distinct objects of which p objects are always included=Cr-pn-p. (iv) Selection of r objects from n distinct objects of which p objects are never included=Crn-p (v) Selection of at least one object from n distinct objects=2n-1. (vi) Selection of at least one object from n objects of which m objects are alike, n objects are alike and rest p are distinct=m+1n+12p-1. Hence there are 5 groups that can be arranged in P(5,5) ways, and vowels can be arranged in P(2,2,) ways. Formula: Number of permutations of n distinct objects among r different places, where repetition is not allowed, is Hence there are 5 groups that can be arranged in P(5,5) ways, and vowels can be arranged in P(2,2,) ways. Formula: Number of permutations of n distinct objects among r different places, where repetition is not allowed, is Solution : The given word 'GOLDEN' contains 6 letters which may be arranged among themselves in 6! = 720 ways. Within the range of constructed languages, Esperanto occupies a middle ground between "naturalistic" (imitating existing natural languages) and a priori (where features are not based on existing languages). Esperanto's vocabulary, syntax and semantics derive predominantly from languages of the Indo-European group. The vocabulary derives primarily from Romance languages, with substantial contributions from Germanic languages. Slavic languages also influenced the grammar and phonology. One of the language's most notable features is its extensive system of derivation, where prefixes and suffixes may be freely combined with roots to generate words, making it possible to communicate effectively with a smaller set of words. Esperanto is the most successful constructed international auxiliary language, and the only such language with a sizeable population of native speakers, of which there are perhaps several thousand.[3] Usage estimates are difficult, but two estimates put the number of people who know how to speak Esperanto at around 100,000.[4] Concentration of speakers is highest in Europe, East Asia, and South America. Although no country has adopted Esperanto officially, Esperantujo ("Esperanto-land") is used as a name for the collection of places where it is spoken. The language has also gained a noticeable presence on the internet in recent years, as it became increasingly accessible on platforms such as Duolingo, Wikipedia, Amikumu and Google Translate.[9][10] Esperanto speakers are often called "Esperantists" (Esperantistoj). History[edit]Creation[edit] The first Esperanto book by L. L. Zamenhof, published in 1887 in Russian. The title translates to: International Language: Preface and Complete Tutorial. Esperanto was created in the late 1870s and early 1880s by L. L. Zamenhof, a Polish-Jewish ophthalmologist from Białystok, then part of the Russian Empire, but now part of Poland. In the 1870s, just a few years before Zamenhof created Esperanto, Polish was banned in public places in Białystok.[11][12] According to Zamenhof, he created the language to reduce the "time and labor we spend in learning foreign tongues", and to foster harmony between people from different countries: "Were there but an international language, all translations would be made into it alone ... and all nations would be united in a common brotherhood."[13] His feelings and the situation in Białystok may be gleaned from an extract from his letter to Nikolai Borovko:[14]
Zamenhof's goal was to create an easy and flexible language that would serve as a universal second language, to foster world peace and international understanding, and to build a "community of speakers".[15] His original title for the language was simply "the international language" (la lingvo internacia), but early speakers grew fond of the name Esperanto, and began to use it as the name for the language just two years after its creation. The name quickly gained prominence, and has been used as an official name ever since.[16] In 1905, Zamenhof published the Fundamento de Esperanto as a definitive guide to the language. Later that year, French Esperantists organized with his participation the first World Esperanto Congress, an ongoing annual conference, in Boulogne-sur-Mer, France. Zamenhof also proposed to the first congress that an independent body of linguistic scholars should steward the future evolution of Esperanto, foreshadowing the founding of the Akademio de Esperanto (in part modeled after the Académie Française), which was established soon thereafter. Since then, world congresses have been held in different countries every year, except during the two World Wars, and the 2020 COVID-19 pandemic (when it was moved to an online-only event). Since the Second World War, they have been attended by an average of more than 2,000 people, and up to 6,000 people at the most. Zamenhof wrote that he wanted mankind to "learn and use ... en masse ... the proposed language as a living one".[13] The goal for Esperanto to become a global auxiliary language was not Zamenhof's only goal; he also wanted to "enable the learner to make direct use of his knowledge with persons of any nationality, whether the language be universally accepted or not; in other words, the language is to be directly a means of international communication."[13] After some ten years of development, which Zamenhof spent translating literature into Esperanto, as well as writing original prose and verse, the first book of Esperanto grammar was published in Warsaw on July 26, 1887. The number of speakers grew rapidly over the next few decades; at first, primarily in the Russian Empire and Central Europe, then in other parts of Europe, the Americas, China, and Japan. In the early years before the world congresses, speakers of Esperanto kept in contact primarily through correspondence and periodicals. Zamenhof's name for the language was simply Internacia Lingvo ("International Language").[17] December 15, Zamenhof's birthday, is now regarded as Zamenhof Day or Esperanto Book Day.[18] 20th century[edit]Map of Esperanto groups in Europe in 1905 The autonomous territory of Neutral Moresnet, between what is today Belgium and Germany, had a sizable proportion of Esperanto-speakers among its small and multi-ethnic population. There was a proposal to make Esperanto its official language. However, neither Belgium nor Germany had ever surrendered its original claim to it. Around 1900, Germany, in particular, was taking a more aggressive stance towards the territory and was accused of sabotage and of obstructing the administrative process to force the issue. It was the First World War, however, that was the catalyst that brought about the end of neutrality. On August 4, 1914, Germany invaded Belgium, leaving Moresnet at first "an oasis in a desert of destruction".[19] In 1915, the territory was annexed by the Kingdom of Prussia, without international recognition. Germany lost the war, Moresnet was returned to Belgium, and today it is the German-speaking Belgian municipality of Kelmis. After the Great War, a great opportunity seemed to arise for Esperanto when the Iranian delegation to the League of Nations proposed that it be adopted for use in international relations, following a report by Nitobe Inazō, a Japanese official delegate of the League of Nations during the 13th World Congress of Esperanto in Prague.[20] Ten delegates accepted the proposal with only one voice against, the French delegate, Gabriel Hanotaux. Hanotaux opposed all recognition of Esperanto at the League, from the first resolution on December 18, 1920, and subsequently through all efforts during the next three years.[21] Hanotaux did not approve of how the French language was losing its position as the international language and saw Esperanto as a threat, effectively wielding his veto power to block the decision. However, two years later, the League recommended that its member states include Esperanto in their educational curricula. The French government retaliated by banning all instruction in Esperanto in France's schools and universities.[22][23] The French Ministry of Public Instruction said that "French and English would perish and the literary standard of the world would be debased".[23] Nonetheless, many people see the 1920s as the heyday of the Esperanto movement. During this time, Anarchism as a political movement was very supportive of both anationalism and the Esperanto language.[24] Fran Novljan was one of the chief promoters of Esperanto in the former Kingdom of Yugoslavia. He was among the founders of the Croatian Prosvjetnoga saveza (Educational Alliance), of which he was the first secretary, and organized Esperanto institutions in Zagreb. Novljan collaborated with Esperanto newspapers and magazines, and was the author of the Esperanto textbook Internacia lingvo esperanto i Esperanto en tridek lecionoj.[25][26] In 1920s Korea, socialist thinkers pushed for the use of Esperanto through a series of columns in The Dong-a Ilbo as resistance to both Japanese occupation as well as a counter to the growing nationalist movement for Korean language standardization. This lasted until the Mukden Incident in 1931, when changing colonial policy led to an outright ban on Esperanto education in Korea.[27] Official repression[edit]7th Esperanto congress, Antwerp, August 1911 Esperanto attracted the suspicion of many states. Repression was especially pronounced in Nazi Germany, Francoist Spain up until the 1950s, and the Soviet Union under Stalin, from 1937 to 1956. In Nazi Germany, there was a motivation to ban Esperanto because Zamenhof was Jewish, and due to the internationalist nature of Esperanto, which was perceived as "Bolshevist". In his work, Mein Kampf, Adolf Hitler specifically mentioned Esperanto as an example of a language that could be used by an international Jewish conspiracy once they achieved world domination.[28] Esperantists were killed during the Holocaust, with Zamenhof's family in particular singled out to be killed.[29] The efforts of a minority of German Esperantists to expel their Jewish colleagues and overtly align themselves with the Reich were futile, and Esperanto was legally forbidden in 1935. Esperantists in German concentration camps did, however, teach Esperanto to fellow prisoners, telling guards they were teaching Italian, the language of one of Germany's Axis allies.[30] In Imperial Japan, the left wing of the Japanese Esperanto movement was forbidden, but its leaders were careful enough not to give the impression to the government that the Esperantists were socialist revolutionaries, which proved a successful strategy.[31] After the October Revolution of 1917, Esperanto was given a measure of government support by the new workers' states in the former Russian Empire and later by the Soviet Union government, with the Soviet Esperantist Union being established as an organization that, temporarily, was officially recognized.[32] In his biography on Joseph Stalin, Leon Trotsky mentions that Stalin had studied Esperanto.[33] However, in 1937, at the height of the Great Purge, Stalin completely reversed the Soviet government's policies on Esperanto; many Esperanto speakers were executed, exiled or held in captivity in the Gulag labour camps. Quite often the accusation was: "You are an active member of an international spy organization which hides itself under the name of 'Association of Soviet Esperantists' on the territory of the Soviet Union." Until the end of the Stalin era, it was dangerous to use Esperanto in the Soviet Union, even though it was never officially forbidden to speak Esperanto.[34] Fascist Italy allowed the use of Esperanto, finding its phonology similar to that of Italian and publishing some tourist material in the language.[citation needed] During and after the Spanish Civil War, Francoist Spain suppressed anarchists, socialists and Catalan nationalists for many years, among whom the use of Esperanto was extensive,[35] but in the 1950s the Esperanto movement was again tolerated.[36] Modern history[edit]In 1954, the United Nations — through UNESCO — granted official support to Esperanto as an international auxiliary language in the Montevideo Resolution.[37] However, Esperanto is still not one of the official languages of the UN.[38] The development of Esperanto has continued unabated into the 21st century. The advent of the Internet has had a significant impact on the language, as learning it has become increasingly accessible on platforms such as Duolingo, and as speakers have increasingly networked on platforms such as Amikumu.[9] With up to two million speakers, it is the most widely spoken constructed language in the world.[39] Although no country has adopted Esperanto officially, Esperantujo ("Esperanto-land") is the name given to the collection of places where it is spoken.[40][41] While many of its advocates continue to hope for the day that Esperanto becomes officially recognized as the international auxiliary language, some (including raŭmistoj) have stopped focusing on this goal and instead view the Esperanto community as a stateless diasporic linguistic group based on freedom of association.[citation needed] Official use[edit]Esperanto has not been a secondary official language of any recognized country, but it entered the education systems of several countries, such as Hungary[42] and China.[43] There were plans at the beginning of the 20th century to establish Neutral Moresnet, in central-western Europe, as the world's first Esperanto state; any such plans came to an end when the Treaty of Versailles awarded the disputed territory to Belgium, effective January 10, 1920. In addition, the self-proclaimed artificial island micronation of Rose Island, near Italy in the Adriatic Sea, used Esperanto as its official language in 1968, and another micronation, the extant Republic of Molossia, near Dayton, Nevada, uses Esperanto as an official language alongside English.[44] The Chinese government has used Esperanto since 2001 for daily news on china.org.cn. China also uses Esperanto in China Radio International, and for the internet magazine El Popola Ĉinio.[45] The Vatican Radio has an Esperanto version of its website.[46] The United States Army has published military phrase books in Esperanto,[47] to be used from the 1950s until the 1970s in war games by mock enemy forces. A field reference manual, FM 30-101-1 Feb. 1962, contained the grammar, English-Esperanto-English dictionary, and common phrases. In the 1970s Esperanto was used as the basis for Defense Language Aptitude Tests. Esperanto is the working language of several non-profit international organizations such as the Sennacieca Asocio Tutmonda, a left-wing cultural association which had 724 members in over 85 countries in 2006.[48] There is also Education@Internet, which has developed from an Esperanto organization; most others are specifically Esperanto organizations. The largest of these, the Universal Esperanto Association, has an official consultative relationship with the United Nations and UNESCO, which recognized Esperanto as a medium for international understanding in 1954.[18][49] The Universal Esperanto Association collaborated in 2017 with UNESCO to deliver an Esperanto translation[50] of its magazine UNESCO Courier (Unesko Kuriero en Esperanto). Esperanto was also the first language of teaching and administration of the International Academy of Sciences San Marino.[51] The League of Nations made attempts to promote teaching Esperanto in member countries, but the resolutions were defeated mainly by French delegates, who did not feel there was a need for it.[52] In the summer of 1924, the American Radio Relay League adopted Esperanto as its official international auxiliary language,[53] and hoped that the language would be used by radio amateurs in international communications, but its actual use for radio communications was negligible.[citation needed] All the personal documents sold by the World Service Authority, including the World Passport, are written in Esperanto, together with English, French, Spanish, Russian, Arabic, and Chinese (the official languages of the United Nations).[54] Internet[edit]On May 28, 2015, the language learning platform Duolingo launched a free Esperanto course for English speakers.[55] On March 25, 2016, when the first Duolingo Esperanto course completed its beta-testing phase, that course had 350,000 people registered to learn Esperanto through the medium of English. By July 2018, the number of learners had risen to 1.36 million. On July 20, 2018, Duolingo changed from recording users cumulatively to reporting only the number of "active learners" (i.e., those who are studying at the time and have not yet completed the course),[56] which as of October 2022 stands at 299,000 learners.[57] On October 26, 2016, a second Duolingo Esperanto course, for which the language of instruction is Spanish, appeared on the same platform[58] and which as of April 2021 has a further 176,000 students.[59] A third Esperanto course, taught in Brazilian Portuguese, began its beta-testing phase on May 14, 2018, and as of April 2021, 220,000 people are using this course[60] and 155,000 people in May 2022.[61] A fourth Esperanto course, taught in French, began its beta-testing phase in July 2020,[62] and as of March 2021 has 72,500 students[63] and 101,000 students in May 2022.[64] As of October 2018, Lernu!, another online learning platform for Esperanto, has 320,000 registered users, and nearly 75,000 monthly visits.[65] 50,000 users possess at least a basic understanding of Esperanto.[citation needed] On February 22, 2012, Google Translate added Esperanto as its 64th language.[66] On July 25, 2016, Yandex Translate added Esperanto as a language.[67] Variant logo for the Esperanto Wikipedia's 200,000-article milestone. With about 328,000 articles, Esperanto Wikipedia (Vikipedio) is the 35th-largest Wikipedia, as measured by the number of articles,[68] and is the largest Wikipedia in a constructed language.[69][70] About 150,000 users consult the Vikipedio regularly, as attested by Wikipedia's automatically aggregated log-in data, which showed that in October 2019 the website has 117,366 unique individual visitors per month, plus 33,572 who view the site on a mobile device instead.[71] Linguistic properties[edit]Esperanto's phonology, grammar, vocabulary, and semantics are based on the Indo-European languages spoken in Europe. The sound inventory is essentially Slavic, as is much of the semantics, whereas the vocabulary derives primarily from Romance languages, with a lesser contribution from Germanic languages, and minor contributions from Slavic languages and Greek. Pragmatics and other aspects of the language not specified by Zamenhof's original documents were influenced by the native languages of early authors, primarily Russian, Polish, German, and French. Some evidence has shown that Zamenhof studied German, English, Spanish, Lithuanian, Italian and French and knew 13 different languages, which had an influence on Esparanto's linguistic properties.[72][73] Paul Wexler proposes that Esperanto is relexified Yiddish, which he claims is in turn a relexified Slavic language,[74] though this model is not accepted by mainstream academics.[75] Esperanto has been described as "a language lexically predominantly Romanic, morphologically intensively agglutinative, and to a certain degree isolating in character".[76] Typologically, Esperanto has prepositions and a pragmatic word order that by default is subject–verb–object (SVO). Adjectives can be freely placed before or after the nouns they modify, though placing them before the noun is more common. New words are formed through extensive prefixing, suffixing, and compounding. Phonology[edit]Esperanto typically has 22 to 24 consonants (depending on the phonemic analysis and individual speaker), five vowels, and two semivowels that combine with the vowels to form six diphthongs. (The consonant /j/ and semivowel /i̯/ are both written j, and the uncommon consonant /dz/ is written with the digraph dz,[77] which is the only consonant that does not have its own letter.) Tone is not used to distinguish meanings of words. Stress is always on the second-to-last vowel in proper Esperanto words, unless a final vowel o is elided, which occurs mostly in poetry. For example, familio "family" is [fa.mi.ˈli.o], with the stress on the second i, but when the word is used without the final o (famili’), the stress remains on the second i : [fa.mi.ˈli]. Consonants[edit]The 23 consonants are: There is some degree of allophony: A large number of consonant clusters can occur, up to three in initial position (as in stranga, "strange") and five in medial position (as in ekssklavo, "former slave"). Final clusters are uncommon except in unassimilated names, poetic elision of final o, and a very few basic words such as cent "hundred" and post "after". Vowels[edit]Esperanto has the five vowels found in such languages as Spanish, Modern Hebrew, and Modern Greek. Since there are only five vowels, a good deal of variation in pronunciation is tolerated. For instance, e commonly ranges from [e] (French é) to [ɛ] (French è). These details often depend on the speaker's native language. A glottal stop may occur between adjacent vowels in some people's speech, especially when the two vowels are the same, as in heroo "hero" ([he.ˈro.o] or [he.ˈro.ʔo]) and praavo "great-grandfather" ([pra.ˈa.vo] or [pra.ˈʔa.vo]). Orthography[edit]Alphabet[edit]The Esperanto alphabet is based on the Latin script, using a one-sound-one-letter principle, with the exception of [d͡z]. It includes six letters with diacritics: ĉ, ĝ, ĥ, ĵ, ŝ (with a circumflex), and ŭ (with a breve). The alphabet does not include the letters q, w, x, or y, which are only used when writing unassimilated terms or proper names. The 28-letter alphabet is: Pronunciation[edit]All unaccented letters are pronounced approximately as their respective IPA symbols, with the exception of C – /t͡s/. Esperanto J and C are used in a way familiar to speakers of German and many Slavic languages, but unfamiliar to most English speakers: J has a Y sound [j~i̯], as in yellow and boy, and C has a "TS" sound [t͡s], as in hits or the zz in pizza. In addition, Esperanto G is always hard, as in give, and Esperanto vowels are pronounced as in Spanish. The accented letters are:
Typing diacritics[edit]Even with the widespread adoption of Unicode, the letters with diacritics (found in the "Latin-Extended A" section of the Unicode Standard) can cause problems with printing and computing, because they are not found on most physical keyboards and are left out of certain fonts. There are two principal workarounds to this problem, which substitute digraphs for the accented letters. Zamenhof, the inventor of Esperanto, created an "h-convention", which replaces ĉ, ĝ, ĥ, ĵ, ŝ, and ŭ with ch, gh, hh, jh, sh, and u, respectively.[81] If used in a database, a program in principle could not determine whether to render, for example, ch as c followed by h or as ĉ, and would fail to render, for example, the word senchava properly, unless its component parts were intentionally separated, as in e.g. senc·hava. A more recent "x-convention" has gained ground since the advent of computing. This system replaces each diacritic with an x (not part of the Esperanto alphabet) after the letter, producing the six digraphs cx, gx, hx, jx, sx, and ux. There are computer keyboard layouts that support the Esperanto alphabet, and some systems use software that automatically replaces x- or h-convention digraphs with the corresponding diacritic letters (for example, Amiketo[82] for Microsoft Windows, Mac OS X, and Linux, Esperanta Klavaro for Windows Phone,[83] and Gboard and AnySoftKeyboard for Android). On Linux, the GNOME, Cinnamon, and KDE desktop environments support the entry of characters with Esperanto diacritics.[84][85] Criticisms are levied against the letters with circumflex diacritics, which some find odd or cumbersome, along with their being invented specifically for Esperanto rather than borrowed from existing languages. Additionally, some of them are arguably unnecessary — for example, the use of ĥ instead of x and ŭ instead of w.[86] However, Zamenhof did not choose these letters arbitrarily: In fact, they were inspired by Czech letters with the caron diacritic but replaced the caron with a circumflex for the ease of those who had access to a French typewriter (with a circumflex dead-key). The Czech letter ž was replaced with ĵ to match the French letter j with the same sound. The letter ŭ on the other hand comes from the u-breve used in Latin prosody, and is also speculated to be inspired by the Belarusian Cyrillic letter ў; French typewriters can render it approximately as the French letter ù. Grammar[edit]Esperanto words are mostly derived by stringing together roots, grammatical endings, and at times prefixes and suffixes. This process is regular so that people can create new words as they speak and be understood. Compound words are formed with a modifier-first, head-final order, as in English (compare "birdsong" and "songbird," and likewise, birdokanto and kantobirdo). Speakers may optionally insert an o between the words in a compound noun if placing them together directly without the o would make the resulting word hard to say or understand. The different parts of speech are marked by their own suffixes: all common nouns end in -o, all adjectives in -a, all derived adverbs in -e, and all verbs except the jussive (or imperative) and infinitive end in -s, specifically in one of six tense and mood suffixes, such as the present tense -as; the jussive mood, which is tenseless, ends in -u. Nouns and adjectives have two cases: nominative for grammatical subjects and in general, and accusative for direct objects and (after a preposition) to indicate direction of movement. Singular nouns used as grammatical subjects end in -o, plural subject nouns in -oj (pronounced [oi̯] like English "oy"). Singular direct object forms end in -on, and plural direct objects with the combination -ojn ([oi̯n]; rhymes with "coin"): -o indicates that the word is a noun, -j indicates the plural, and -n indicates the accusative (direct object) case. Adjectives agree with their nouns; their endings are singular subject -a ([a]; rhymes with "ha!"), plural subject -aj ([ai̯], pronounced "eye"), singular object -an, and plural object -ajn ([ai̯n]; rhymes with "fine"). NounSubjectObjectSingular-o-onPlural-oj-ojnAdjectiveSubjectObjectSingular-a-anPlural-aj-ajnThe suffix -n, besides indicating the direct object, is used to indicate movement and a few other things as well. The six verb inflections consist of three tenses and three moods. They are present tense -as, future tense -os, past tense -is, infinitive mood -i, conditional mood -us and jussive mood -u (used for wishes and commands). Verbs are not marked for person or number. Thus, kanti means "to sing", mi kantas means "I sing", vi kantas means "you sing", and ili kantas means "they sing". Word order is comparatively free. Adjectives may precede or follow nouns; subjects, verbs and objects may occur in any order. However, the article la "the", demonstratives such as tiu "that" and prepositions (such as ĉe "at") must come before their related nouns. Similarly, the negative ne "not" and conjunctions such as kaj "and" and ke "that" must precede the phrase or clause that they introduce. In copular (A = B) clauses, word order is just as important as in English: "people are animals" is distinguished from "animals are people". Vocabulary[edit]The core vocabulary of Esperanto was defined by Lingvo internacia, published by Zamenhof in 1887. This book listed 900 roots; these could be expanded into tens of thousands of words using prefixes, suffixes, and compounding. In 1894, Zamenhof published the first Esperanto dictionary, Universala Vortaro, which had a larger set of roots. The rules of the language allowed speakers to borrow new roots as needed; it was recommended, however, that speakers use most international forms and then derive related meanings from these. Since then, many words have been borrowed, primarily (but not solely) from the European languages. Not all proposed borrowings become widespread, but many do, especially technical and scientific terms. Terms for everyday use, on the other hand, are more likely to be derived from existing roots; komputilo "computer", for instance, is formed from the verb komputi "compute" and the suffix -ilo "tool". Words are also calqued; that is, words acquire new meanings based on usage in other languages. For example, the word muso "mouse" has acquired the meaning of a computer mouse from its usage in many languages (English mouse, French souris, Dutch muis, Spanish ratón, etc.). Esperanto speakers often debate about whether a particular borrowing is justified or whether meaning can be expressed by deriving from or extending the meaning of existing words. Some compounds and formed words in Esperanto are not entirely straightforward; for example, eldoni, literally "give out", means "publish", paralleling the usage of certain European languages (such as German herausgeben, Dutch uitgeven, Russian издать izdat'). In addition, the suffix -um- has no defined meaning; words using the suffix must be learned separately (such as dekstren "to the right" and dekstrumen "clockwise"). There are not many idiomatic or slang words in Esperanto, as these forms of speech tend to make international communication difficult—working against Esperanto's main goal.[citation needed] Instead of derivations of Esperanto roots, new roots are taken from European languages in the endeavor to create an international language.[87] Sample text[edit]The following short extract gives an idea of the character of Esperanto.[88] (Pronunciation is covered above; the Esperanto letter j is pronounced like English y.) «En multaj lokoj de Ĉinio estis temploj de la drako-reĝo. Dum trosekeco oni preĝis en la temploj, ke la drako-reĝo donu pluvon al la homa mondo. Tiam drako estis simbolo de la supernatura estaĵo. Kaj pli poste, ĝi fariĝis prapatro de la plej altaj regantoj kaj simbolis la absolutan aŭtoritaton de la feŭda imperiestro. La imperiestro pretendis, ke li estas la filo de la drako. Ĉiuj liaj vivbezonaĵoj portis la nomon drako kaj estis ornamitaj per diversaj drakofiguroj. Nun ĉie en Ĉinio videblas drako-ornamentaĵoj, kaj cirkulas legendoj pri drakoj.»In many places in China, there were temples of the dragon-king. During times of drought, people would pray in the temples that the dragon-king would give rain to the human world. At that time the dragon was a symbol of the supernatural creature. Later on, it became the ancestor of the highest rulers and symbolized the absolute authority of a feudal emperor. The emperor claimed to be the son of the dragon. All of his personal possessions carried the name "dragon" and were decorated with various dragon figures. Now dragon decorations can be seen everywhere in China and legends about dragons circulate.Simple phrases[edit]This article includes inline links to audio files. If you have trouble playing the files, see Wikipedia Media help. Listed below are some useful Esperanto words and phrases along with IPA transcriptions: Eurocentricity[edit]The vocabulary, orthography, phonology, and semantics are all thoroughly European. The vocabulary, for example, draws about three-quarters from Romance languages, with the rest split between Greek, English and German. The syntax has Germanic and Slavic tendencies, with internal tensions when these disagree; the semantics and phonology have been said to be Slavic.[89] Esperanto speakers learn the language through self-directed study, online tutorials, and correspondence courses taught by volunteers. More recently, free teaching websites like lernu! and Duolingo have become available. Esperanto instruction is rarely available at schools, including four primary schools in a pilot project under the supervision of the University of Manchester, and by one count at a few universities.[90] However, outside China and Hungary, these mostly involve informal arrangements, rather than dedicated departments or state sponsorship. Eötvös Loránd University in Budapest had a department of Interlinguistics and Esperanto from 1966 to 2004, after which time instruction moved to vocational colleges; there are state examinations for Esperanto instructors.[91][92] Additionally, Adam Mickiewicz University in Poland offers a diploma in Interlinguistics.[93] The Senate of Brazil passed a bill in 2009 that would make Esperanto an optional part of the curriculum in public schools, although mandatory if there is demand for it. As of 2015, the bill is still under consideration by the Chamber of Deputies.[94][95][96] In the United States, Esperanto is notably offered as a weekly evening course at Stanford University's Bechtel International Center. Conversational Esperanto, The International Language, is a free drop-in class that is open to Stanford students and the general public on campus during the academic year.[97] With administrative permission, Stanford Students can take the class for two credits a quarter through the Linguistics Department. "Even four lessons are enough to get more than just the basics," the Esperanto at Stanford website reads. Esperanto-USA suggests that Esperanto can be learned in, at most, one quarter of the amount of time required for other languages.[98] Third-language acquisition[edit]From 2006 to 2011, four primary schools in Britain, with 230 pupils, followed a course in "propaedeutic Esperanto"—that is, instruction in Esperanto to raise language awareness, and to accelerate subsequent learning of foreign languages—under the supervision of the University of Manchester. As they put it,
The results showed that the pupils achieved enhanced metalinguistic awareness, though the study did not indicate whether a course in a language other than Esperanto would have led to similar results.[100] Similar studies have been conducted in New Zealand,[101] the United States,[102][103] and Germany.[104] The results of these studies were favorable, and demonstrated that studying Esperanto before another foreign language expedites the acquisition of the other, natural language. In one study in England,[105] a group of European secondary school students studied Esperanto for one year, then French for three years, and ended up with a better command of French than a control group, who had studied French for a four-year period. Geography and demography[edit]Esperanto is by far the most widely spoken constructed language in the world.[106] Speakers are most numerous in Europe and East Asia, especially in urban areas, where they often form Esperanto clubs.[107] Esperanto is particularly prevalent in the northern and central countries of Europe; in China, Korea, Japan, and Iran within Asia;[31] in Brazil, Argentina, and Mexico in the Americas;[108] and in Togo in Africa.[109] Countering a common criticism against Esperanto, the statistician Svend Nielsen has found no significant correlation between the number of Esperanto speakers and the similarity of a given national native language to Esperanto. He concludes that Esperanto tends to be more popular in rich countries with widespread Internet access and a tendency to contribute more to science and culture. Linguistic diversity within a country was found to have no, or perhaps a slightly reductive, correlation with Esperanto popularity.[110] Number of speakers[edit]An estimate of the number of Esperanto speakers was made by Sidney S. Culbert, a retired psychology professor at the University of Washington and a longtime Esperantist, who tracked down and tested Esperanto speakers in sample areas in dozens of countries over a period of twenty years. Culbert concluded that between one and two million people speak Esperanto at Foreign Service Level 3, "professionally proficient" (able to communicate moderately complex ideas without hesitation, and to follow speeches, radio broadcasts, etc.).[111] Culbert's estimate was not made for Esperanto alone, but formed part of his listing of estimates for all languages of more than one million speakers, published annually in the World Almanac and Book of Facts. Culbert's most detailed account of his methodology is found in a 1989 letter to David Wolff.[112] Since Culbert never published detailed intermediate results for particular countries and regions, it is difficult to independently gauge the accuracy of his results. In the Almanac, his estimates for numbers of language speakers were rounded to the nearest million, thus the number of Esperanto speakers is shown as two million. This latter figure appears in Ethnologue. Assuming that this figure is accurate, that means that about 0.03% of the world's population speaks the language. Although it does not meet Zamenhof's goal of a universal language, it still represents a level of popularity unmatched by any other constructed language. Marcus Sikosek (now Ziko van Dijk) has challenged this figure of 1.6 million as exaggerated. He estimated that even if Esperanto speakers were evenly distributed, assuming one million Esperanto speakers worldwide would lead one to expect about 180 in the city of Cologne. Van Dijk finds only 30 fluent speakers in that city, and similarly smaller-than-expected figures in several other places thought to have a larger-than-average concentration of Esperanto speakers. He also notes that there are a total of about 20,000 members of the various Esperanto organizations (other estimates are higher). Though there are undoubtedly many Esperanto speakers who are not members of any Esperanto organization, he thinks it unlikely that there are fifty times more speakers than organization members.[107] Finnish linguist Jouko Lindstedt, an expert on native-born Esperanto speakers, presented the following scheme[113] to show the overall proportions of language capabilities within the Esperanto community:
In 2017, doctoral student Svend Nielsen estimated around 63,000 Esperanto speakers worldwide, taking into account association memberships, user-generated data from Esperanto websites and census statistics. This number, however, was disputed by statistician Sten Johansson, who questioned the reliability of the source data and highlighted a wide margin of error, the latter point with which Nielsen agrees. Both have stated, however, that this new number is likely more realistic than some earlier projections.[4] In the absence of Dr. Culbert's detailed sampling data, or any other census data, it is impossible to state the number of speakers with certainty. According to the website of the Universal Esperanto Association:
Native speakers[edit]Native Esperanto speakers, eo: denaskuloj, lit. 'person from/since birth', have learned the language from birth from Esperanto-speaking parents.[115] This usually happens when Esperanto is the chief or only common language in an international family, but sometimes occurs in a family of Esperanto speakers who often use the language.[116] The 15th edition of Ethnologue cited estimates that there were 200 to 2,000 native speakers in 1996,[117] but these figures were removed from the 16th and 17th editions.[118] The 2019 online version of Ethnologue gives "L1 users: 1,000 (Corsetti et al 2004)".[119] As of 1996, there were approximately 350 attested cases of families with native Esperanto speakers (which means there were around 700 Esperanto speaking natives in these families, not accounting for older native speakers).[120] However, native speakers do not occupy an authoritative position in the Esperanto community, as they would in other language communities. This presents a challenge to linguists, whose usual source of grammaticality and meanings are native speakers.[121][122] Culture[edit]Esperantists can access an international culture, including a large body of original as well as translated literature. There are more than 25,000 Esperanto books, both originals and translations, as well as several regularly distributed Esperanto magazines. In 2013 a museum about Esperanto opened in China.[123] Esperantists use the language for free accommodations with Esperantists in 92 countries using the Pasporta Servo or to develop pen pals through Esperanto Koresponda Servo [eo].[124] Every year, Esperantists meet for the World Congress of Esperanto (Universala Kongreso de Esperanto).[125][126] Historically, much Esperanto music, such as Kaj Tiel Plu, has been in various folk traditions.[127] There is also a variety of classical and semi-classical choral music, both original and translated, as well as large ensemble music that includes voices singing Esperanto texts. Lou Harrison, who incorporated styles and instruments from many world cultures in his music, used Esperanto titles and/or texts in several of his works, most notably La Koro-Sutro (1973). David Gaines used Esperanto poems as well as an excerpt from a speech by Dr. Zamenhof for his Symphony No. One (Esperanto) for mezzo-soprano and orchestra (1994–98). He wrote original Esperanto text for his Povas plori mi ne plu (I Can Cry No Longer) for unaccompanied SATB choir (1994). There are also shared traditions, such as Zamenhof Day, and shared behaviour patterns.[which?] Esperantists speak primarily in Esperanto at international Esperanto meetings. Esperanto proponents, such as Prof. Humphrey Tonkin of the University of Hartford, argue that Esperanto is "culturally neutral by design, as it was intended to be a facilitator between cultures, not to be the carrier of any one national culture". The late Scottish Esperanto author William Auld wrote extensively on the subject, arguing that Esperanto is "the expression of a common human culture, unencumbered by national frontiers. Thus it is considered a culture on its own."[128] Critics have argued that the language is eurocentric, as it draws much of its vocabulary from European languages.[129] Esperanto heritage[edit]Several Esperanto associations also advance education in and about Esperanto and aim to preserve and promote the culture and heritage of Esperanto.[130] Poland added Esperanto to its list of intangible cultural heritage in 2014.[131] Some authors of works in Esperanto are: Popular culture[edit]In the futuristic novel Lord of the World by Robert Hugh Benson, Esperanto is presented as the predominant language of the world, much as Latin is the language of the Church.[132] A reference to Esperanto appears in the science-fiction story War with the Newts by Karel Čapek, published in 1936. As part of a passage on what language the salamander-looking creatures with human cognitive ability should learn, it is noted that "...in the Reform schools, Esperanto was taught as the medium of communication." (P. 206). [133] Esperanto has been used in many films and novels. Typically, this is done either to add the exotic flavour of a foreign language without representing any particular ethnicity, or to avoid going to the trouble of inventing a new language. The Charlie Chaplin film The Great Dictator (1940) showed Jewish ghetto shop signs in Esperanto. Two full-length feature films have been produced with dialogue entirely in Esperanto: Angoroj, in 1964, and Incubus, a 1965 B-movie horror film which is also notable for starring William Shatner shortly before he began working on Star Trek. In Captain Fantastic (2016) there is a dialogue in Esperanto. The 1994 film Street Fighter contains Esperanto dialogue spoken by the character Sagat. Finally, Mexican film director Alfonso Cuarón has publicly shown his fascination for Esperanto,[134] going as far as naming his film production company Esperanto Filmoj ("Esperanto Films"). Science[edit]In 1921 the French Academy of Sciences recommended using Esperanto for international scientific communication.[135] A few scientists and mathematicians, such as Maurice Fréchet (mathematics), John C. Wells (linguistics), Helmar Frank (pedagogy and cybernetics), and Nobel laureate Reinhard Selten (economics) have published part of their work in Esperanto. Frank and Selten were among the founders of the International Academy of Sciences in San Marino, sometimes called the "Esperanto University", where Esperanto is the primary language of teaching and administration.[136][137] A message in Esperanto was recorded and included in Voyager 1's Golden Record. Commerce and trade[edit]Esperanto business groups have been active for many years. Research conducted in the 1920s by the French Chamber of Commerce and reported in The New York Times suggested that Esperanto seemed to be the best business language.[138] The privacy-oriented cryptocurrency, Monero, takes its name from the Esperanto word for coin. Goals of the movement[edit]Zamenhof had three goals, as he wrote already in 1887: to create an easy language, to create a language ready to use "whether the language be universally accepted or not" and to find some means to get many people to learn the language.[13] So Zamenhof's intention was not only to create an easy-to-learn language to foster peace and international understanding as a general language, but also to create a language for immediate use by a (small) language community. Esperanto was to serve as an international auxiliary language, that is, as a universal second language, not to replace ethnic languages. This goal was shared by Zamenhof among Esperanto speakers at the beginning of the movement.[139] Later, Esperanto speakers began to see the language and the culture that had grown up around it as ends in themselves, even if Esperanto is never adopted by the United Nations or other international organizations.[135] Esperanto speakers who want to see Esperanto adopted officially or on a large scale worldwide are commonly called finvenkistoj, from fina venko, meaning "final victory".[140] It has to be noted that there are two kinds of "finvenkismo"–"desubismo" and "desuprismo"; the first aims to spread Esperanto between ordinary people ("desube", from below) aiming to form a steadily growing community of Esperanto speakers. The second aims to act from above ("desupre"), beginning with politicians. Zamenhof considered the first way to have a better perspective, as "for such affairs as ours, governments come with their approval and help usually only, when everything is already finished".[141] Those who focus on the intrinsic value of the language are commonly called raŭmistoj, from Rauma, Finland, where a declaration on the short-term improbability of the fina venko and the value of Esperanto culture was made at the International Youth Congress in 1980.[142] However the "Manifesto de Raŭmo" clearly mentions the intention to further spread the language: "We want to spread Esperanto to put into effect its positive values more and more, step by step".[143] In 1996 the Prague Manifesto was adopted at the annual congress of the Universal Esperanto Association (UEA); it was subscribed by individual participants and later by other Esperanto speakers. More recently, language-learning apps like Duolingo and Amikumu have helped to increase the amount of fluent speakers of Esperanto, and find others in their area to speak the language with. Symbols and flags[edit]The earliest flag, and the one most commonly used today, features a green five-pointed star against a white canton, upon a field of green. It was proposed to Zamenhof by Richard Geoghegan, author of the first Esperanto textbook for English speakers, in 1887. The flag was approved in 1905 by delegates to the first conference of Esperantists at Boulogne-sur-Mer. The green star on white (la verda stelo) is also used by itself as a round (buttonhole, etc.) emblem by many esperantists, among other reasons to enhance their visibility outside the Esperanto world. A version with an "E" superimposed over the green star is sometimes seen. Other variants include that for Christian Esperantists, with a white Christian cross superimposed upon the green star, and that for Leftists, with the color of the field changed from green to red.[144] In 1987, a second flag design was chosen in a contest organized by the UEA celebrating the first centennial of the language. It featured a white background with two stylised curved "E"s facing each other. Dubbed the "jubilea simbolo" (jubilee symbol),[145] it attracted criticism from some Esperantists, who dubbed it the "melono" (melon) because of the design's elliptical shape. It is still in use, though to a lesser degree than the traditional symbol, known as the "verda stelo" (green star).[146] Politics[edit]Esperanto has been placed in many proposed political situations. The most popular of these is the Europe–Democracy–Esperanto, which aims to establish Esperanto as the official language of the European Union. Grin's Report, published in 2005 by François Grin, found that the use of English as the lingua franca within the European Union costs billions annually and significantly benefits English-speaking countries financially.[147] The report considered a scenario where Esperanto would be the lingua franca, and found that it would have many advantages, particularly economically speaking, as well as ideologically. Left-wing currents exist in the wider Esperanto world, mostly organized through the Sennacieca Asocio Tutmonda founded by French theorist Eugène Lanti.[148] Other notable Esperanto socialists include Nikolai Nekrasov and Vladimir Varankin. Both Nekrasov and Varankin were arrested during the Stalinist repressions of the late 1930s. Nekrasov was accused of being "an organizer and leader of a fascist, espionage, terrorist organization of Esperantists", and executed on October 4, 1938.[149] Varankin was executed on October 3, 1938.[150] Religion[edit]Oomoto[edit]The Oomoto religion encourages the use of Esperanto among its followers and includes Zamenhof as one of its deified spirits.[151] Baháʼí Faith[edit]The Baháʼí Faith encourages the use of an auxiliary international language. `Abdu'l-Bahá praised the ideal of Esperanto, and there was an affinity between Esperantists and Baháʼís during the late 19th century and early 20th century.[152][153] On February 12, 1913, `Abdu'l-Bahá gave a talk to the Paris Esperanto Society, stating:
Lidia Zamenhof, daughter of L. L. Zamenhof, became a Baháʼí around 1925.[153] James Ferdinand Morton Jr., an early member of the Baháʼí Faith in Greater Boston, was vice-president of the Esperanto League for North America.[155] Ehsan Yarshater, the founding editor of Encyclopædia Iranica, notes how as a child in Iran he learned Esperanto and that when his mother was visiting Haifa on a Baháʼí pilgrimage he wrote her a letter in Persian as well as Esperanto.[156] At the request of 'Abdu’l-Baha, Agnes Baldwin Alexander became an early advocate of Esperanto and used it to spread the Baháʼí teachings at meetings and conferences in Japan. Today there exists an active sub-community of Baháʼí Esperantists and various volumes of Baháʼí literature have been translated into Esperanto. In 1973, the Baháʼí Esperanto-League for active Baháʼí supporters of Esperanto was founded.[153] Spiritism[edit]In 1908, spiritist Camilo Chaigneau wrote an article named "Spiritism and Esperanto" in the periodic La Vie d'Outre-Tombe recommending the use of Esperanto in a "central magazine" for all spiritists and esperantists. Esperanto then became actively promoted by spiritists, at least in Brazil, initially by Ismael Gomes Braga and František Lorenz; the latter is known in Brazil as Francisco Valdomiro Lorenz, and was a pioneer of both spiritist and Esperantist movements in this country.[157] The Brazilian Spiritist Federation publishes Esperanto coursebooks, translations of Spiritism's basic books, and encourages Spiritists to become Esperantists.[158] William T. Stead, a famous spiritualist and occultist in the United Kingdom, co-founded the first Esperanto club in the U.K.[159]: 113 Theosophy[edit]The Teozofia Esperanta Ligo (Theosophycal Esperantist League) was formed in 1911, and the organization's journal, Espero Teozofia, was published from 1913 to 1928.[159]: 113 Bible translations[edit]The first translation of the Bible into Esperanto was a translation of the Tanakh (or Old Testament) done by L. L. Zamenhof. The translation was reviewed and compared with other languages' translations by a group of British clergy and scholars before its publication at the British and Foreign Bible Society in 1910. In 1926 this was published along with a New Testament translation, in an edition commonly called the "Londona Biblio". In the 1960s, the Internacia Asocio de Bibliistoj kaj Orientalistoj tried to organize a new, ecumenical Esperanto Bible version.[160] Since then, the Dutch Remonstrant pastor Gerrit Berveling has translated the Deuterocanonical or apocryphal books, in addition to new translations of the Gospels, some of the New Testament epistles, and some books of the Tanakh. These have been published in various separate booklets, or serialized in Dia Regno, but the Deuterocanonical books have appeared in recent editions of the Londona Biblio. Christianity[edit]Mass in Esperanto during the 95th World Congress of Esperanto in Havana, 2010 Christian Esperanto organizations and publications include:
Islam[edit]Ayatollah Khomeini of Iran called on Muslims to learn Esperanto and praised its use as a medium for better understanding among peoples of different religious backgrounds. After he suggested that Esperanto replace English as an international lingua franca, it began to be used in the seminaries of Qom. An Esperanto translation of the Qur'an was published by the state shortly thereafter.[177][178] Though Esperanto itself has changed little since the publication of Fundamento de Esperanto (Foundation of Esperanto),[citation needed] a number of reform projects have been proposed over the years, starting with Zamenhof's proposals in 1894 and Ido in 1907. Several later constructed languages, such as Universal, Saussure, Romániço, Internasia, Esperanto sen Fleksio, and Mundolingvo, were all based on Esperanto. In modern times, conscious attempts have been made to eliminate perceived sexism in the language, such as Riism. Many words with ĥ now have alternative spellings with k and occasionally h, so that arĥitekto may also be spelled arkitekto; see Esperanto phonology for further details of ĥ replacement. Reforms aimed at altering country names have also resulted in a number of different options, either due to disputes over suffixes or Eurocentrism in naming various countries.[citation needed] Criticism[edit]There have been numerous objections to Esperanto over the years. For example, there has been criticism that Esperanto is not neutral enough, but also that it should convey a specific culture, which would make it less neutral; that Esperanto does not draw on a wide enough selection of the world's languages, but also that it should be more narrowly European.[129][179] Language-neutrality[edit]Esperantists often argue for Esperanto as a culturally neutral means of communication. However, it is often accused of being Eurocentric.[129] This is most often noted in regard to the vocabulary, but applies equally to the orthography, phonology, and semantics, all of which are thoroughly European. The vocabulary, for example, draws about three-quarters from Romance languages, and the remainder primarily from Greek, English and German. The syntax was inspired by Romance, and the phonology and semantics by Slavic and Germanic languages. The grammar is arguably more European than not. Supporters have argued that the agglutinative grammar and verb regularity of Esperanto has more in common with Asian languages than with European ones.[180][181] A 2010 typological study concluded that "Esperanto is indeed somewhat European in character, but considerably less so than the European languages themselves."[182] Critics argue that a truly neutral language would draw its vocabulary from a much wider variety of languages, so as not to give an unfair advantage to speakers of any of them. Although a truly representative sampling of the world's thousands of languages would be unworkable, a derivation from, e.g. the Romance, Germanic, Semitic, Indo-Aryan, Bantu, and Sino-Tibetan language families would strike many as being fairer than Esperanto-like solutions, as these families cover about 60% of the world's population, compared to a fifth for Romance and Germanic.[183] Gender-neutrality[edit]Esperanto is frequently accused of being inherently sexist, because the default form of some nouns is masculine while a derived form is used for the feminine, which is said to retain traces of the male-dominated society of late 19th-century Europe of which Esperanto is a product.[184][86] These nouns are primarily titles and kin terms, such as sinjoro "Mr, sir" vs. sinjorino "Ms, lady" and patro "father" vs. patrino "mother". In addition, nouns that denote persons and whose definitions are not explicitly male are often assumed to be male unless explicitly made female, such as doktoro, a PhD doctor (male or unspecified) versus doktorino, a female PhD. This is analogous to the situation with the English suffix -ess, as in the words baron/baroness, waiter/waitress, etc. On the other hand, the pronoun ĝi ("it") may be used generically to mean he/she/they; the pronoun li ("he") is always masculine and ŝi ("she") is always female, despite some authors' arguments.[185] Case and number agreement[edit]Speakers of languages without grammatical case or adjectival agreement frequently complain about these aspects of Esperanto. In addition, in the past some people found the Classical Greek forms of the plural (nouns in -oj, adjectives in -aj) to be awkward, proposing instead that Italian -i be used for nouns, and that no plural be used for adjectives. These suggestions were adopted by the Ido reform.[129][179] A reply to that criticism is that the presence of an accusative case allows much freedom in word order, e.g. for emphasis ("Johano batis Petron", John hit Peter; "Petron batis Johano", it is Peter whom John hit), that its absence in the "predicate of the object" avoids ambiguity ("Mi vidis la blankan domon", I saw the white house; "Mi vidis la domon blanka", the house seemed white to me) and that adjective agreement allows, among others, the use of hyperbaton in poetry (as in Latin, cf. Virgil's Eclogue 1:1 Tityre, tu patulæ recubans sub tegmine fagi… where "patulæ" (spread out) is epithet to "fagi" (beech) and their agreement in the genitive feminine binds them notwithstanding their distance in the verse). Alphabet[edit]The Esperanto alphabet uses two diacritics: the circumflex and the breve. The alphabet was designed with a French typewriter in mind, and although modern computers support Unicode, entering the letters with diacritic marks can be more or less problematic with certain operating systems or hardware. One of the first reform proposals (for Esperanto 1894) sought to do away with these marks and the language Ido went back to the basic Latin alphabet. Achievement of its creator's goals[edit]One common criticism is that Esperanto has failed to live up to the hopes of its creator, who dreamed of it becoming a universal second language.[186][187] Because people were reluctant to learn a new language which hardly anyone spoke, Zamenhof asked people to sign a promise to start learning Esperanto once ten million people made the same promise. He "was disappointed to receive only a thousand responses."[188] However, Zamenhof had the goal to "enable the learner to make direct use of his knowledge with persons of any nationality, whether the language be universally accepted or not",[13] as he wrote in 1887. The language is currently[when?] spoken by people living in more than 100 countries; there are about 2,000 native Esperanto speakers and probably up to 100,000 people who use the language regularly. In this regard, Zamenhof was well aware that it might take much time for Esperanto to achieve his desired goals. In his speech at the 1907 World Esperanto Congress in Cambridge he said, "we hope that earlier or later, maybe after many centuries, on a neutral language foundation, understanding one another, the nations will build ... a big family circle."[189] The poet Wisława Szymborska expressed doubt that Esperanto could "produce works of lasting value," saying it is "an artificial language without variety or dialects" and that "no one thinks in Esperanto."[190] Esperantists[who?] have replied that "lasting value" is a statement of opinion, that Esperanto grew "naturally" by the actions of its speakers on Zamenhof's intentionally elementary Fundamento, and that the last sentence ("No one thinks in Esperanto") is false-to-fact.[citation needed] J. R. R. Tolkien wrote in support of the language in a 1932 British Esperantist article, but criticised those who sought to adapt or "tinker" with the language, which, in his opinion, harmed unanimity and the goal of achieving wide acceptance.[191] Eponymous entities[edit]There are some geographical and astronomical features named after Esperanto, or after its creator L. L. Zamenhof. These include Esperanto Island in Antarctica,[192] and the asteroids 1421 Esperanto and 1462 Zamenhof discovered by Finnish astronomer and Esperantist Yrjö Väisälä. How many arrangements of the word golden are there?Solution : The given word 'GOLDEN' contains 6 letters which may be arranged among themselves in 6! = 720 ways.
How many ways vowels never come together?2! number of arrangements in which the vowels do not come together =5040−1440=3600 ways.
How many arrangements vowels occur together?`
Hence, the number of arrangement in which 4 vowels are together `=(10080 xx 12)=120960. ` How many arrangements start with a vowel?How many arrangements start with a vowel ? Total number of arrangement's = 8!
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