. . . . "Louis Fran\u00E7ois Antoine Arbogast (4 de octubre de 1759, Mutzig - 18 de abril de 1803, Estrasburgo) fue un matem\u00E1tico y pol\u00EDtico franc\u00E9s, especialista en c\u00E1lculo diferencial, desarroll\u00F3 el concepto de funci\u00F3n discontinua y descubri\u00F3 el de factorial, siendo el primer autor en separar la notaci\u00F3n de s\u00EDmbolos de las operaciones de sus cantidades. Rector de la universidad de Estrasburgo, fue profesor del \u00C9cole Polytechnique, siendo elegido diputado por el Bajo Rin a la Convenci\u00F3n Nacional de 1792."@es . . . "Louis Fran\u00E7ois Antoine Arbogast"@pt . . . . . . . . . "A Short Account of the History of Mathematics"@en . "1759-10-04"^^ . . . . "\u041B\u0443\u0438-\u0424\u0440\u0430\u043D\u0441\u0443\u0430-\u0410\u043D\u0442\u0443\u0430\u043D \u0410\u0440\u0431\u043E\u0433\u0430\u0441\u0442 (4 \u043E\u043A\u0442\u044F\u0431\u0440\u044F 1759, \u041C\u044E\u0446\u0438\u0433, \u041D\u0438\u0436\u043D\u0438\u0439 \u0420\u0435\u0439\u043D \u2014 18 \u0430\u043F\u0440\u0435\u043B\u044F 1803 \u0438\u043B\u0438 8 \u0430\u043F\u0440\u0435\u043B\u044F 1803, \u0421\u0442\u0440\u0430\u0441\u0431\u0443\u0440\u0433) \u2014 \u0444\u0440\u0430\u043D\u0446\u0443\u0437\u0441\u043A\u0438\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A. \u041E\u043F\u0438\u0441\u0430\u043B \u0447\u0438\u0441\u043B\u043E\u0432\u044B\u0435 \u0440\u044F\u0434\u044B \u043D\u0430\u0437\u0432\u0430\u043D\u043D\u044B\u0435 \u0435\u0433\u043E \u0438\u043C\u0435\u043D\u0435\u043C, \u0431\u044B\u043B \u043F\u0435\u0440\u0432\u044B\u043C, \u043A\u0442\u043E \u043E\u0442\u0434\u0435\u043B\u0438\u043B \u0441\u0438\u043C\u0432\u043E\u043B\u044B \u043E\u043F\u0435\u0440\u0430\u0446\u0438\u0439 \u043E\u0442 \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u0432 \u043A\u043E\u043B\u0438\u0447\u0435\u0441\u0442\u0432\u0430. \u0412 1800 \u0433\u043E\u0434\u0443 \u0438\u043C \u0431\u044B\u043B \u043E\u043F\u0443\u0431\u043B\u0438\u043A\u043E\u0432\u0430\u043D \u0442\u0440\u0430\u043A\u0442\u0430\u0442 \u0433\u0434\u0435 \u043E\u043D \u0432\u043F\u0435\u0440\u0432\u044B\u0435 \u0438\u0437\u043B\u043E\u0436\u0438\u043B \u0444\u043E\u0440\u043C\u0443\u043B\u0443, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u0435\u0433\u043E\u0434\u043D\u044F \u0438\u0437\u0432\u0435\u0441\u0442\u043D\u0430 \u043A\u0430\u043A \u0444\u043E\u0440\u043C\u0443\u043B\u0430 \u0424\u0430\u0430-\u0434\u0438-\u0411\u0440\u0443\u043D\u043E, \u0437\u0430 55 \u043B\u0435\u0442 \u0434\u043E \u0442\u043E\u0433\u043E, \u043A\u0430\u043A \u043E\u043D\u0430 \u0431\u044B\u043B\u0430 \u043E\u043F\u0443\u0431\u043B\u0438\u043A\u043E\u0432\u0430\u043D\u0430 \u0432 \u0440\u0430\u0431\u043E\u0442\u0435 \u0441\u0430\u043C\u043E\u0433\u043E \u0424\u0440\u0430\u043D\u0447\u0435\u0441\u043A\u043E \u0424\u0430\u0430-\u0434\u0438-\u0411\u0440\u0443\u043D\u043E."@ru . "Louis Fran\u00E7ois Antoine Arbogast (Mutzig, le 4 octobre 1759 - Strasbourg, le 8 avril 1803) est un math\u00E9maticien, avocat et homme politique fran\u00E7ais d'origine alsacienne. \u00C0 l'origine de l'adoption de l'actuel syst\u00E8me des poids et mesures, il fut aussi d\u00E9put\u00E9 \u00E0 la Convention nationale en 1792."@fr . . . "Louis Fran\u00E7ois Antoine Arbogast (Mutzig, 4 ottobre 1759 \u2013 Strasburgo, 18 aprile 1803) \u00E8 stato un matematico francese, che contribu\u00EC alla formalizzazione della analisi matematica. \u00C8 stato professore di matematica anche al Coll\u00E8ge de Colmar ed ha condotto importanti ricerche nel campo dell'analisi. Introdusse sia il simbolo per indicare il fattoriale, sia per la derivazione la notazione , alternativa da quella di Leibniz, quella di Newton, e quella di Lagrange, comunque distinta dal differenziale (che veniva gi\u00E0 scritto con )."@it . . . . . . . . "91156"^^ . . . . . . "1759-10-04"^^ . . . . . . . "31246"^^ . "Louis Fran\u00E7ois Antoine Arbogast (4 de octubre de 1759, Mutzig - 18 de abril de 1803, Estrasburgo) fue un matem\u00E1tico y pol\u00EDtico franc\u00E9s, especialista en c\u00E1lculo diferencial, desarroll\u00F3 el concepto de funci\u00F3n discontinua y descubri\u00F3 el de factorial, siendo el primer autor en separar la notaci\u00F3n de s\u00EDmbolos de las operaciones de sus cantidades. Rector de la universidad de Estrasburgo, fue profesor del \u00C9cole Polytechnique, siendo elegido diputado por el Bajo Rin a la Convenci\u00F3n Nacional de 1792."@es . . "Louis Fran\u00E7ois Antoine Arbogast (4 October 1759 \u2013 8 April 1803) was a French mathematician. He was born at Mutzig in Alsace and died at Strasbourg, where he was professor. He wrote on series and the derivatives known by his name: he was the first writer to separate the symbols of operation from those of quantity, introducing systematically the operator notation DF for the derivative of the function F. In 1800, he published a calculus treatise where the first known statement of what is currently known as Fa\u00E0 di Bruno's formula appears, 55 years before the first published paper of Francesco Fa\u00E0 di Bruno on that topic."@en . "Louis Fran\u00E7ois Antoine Arbogast"@fr . . . . . . "Louis Fran\u00E7ois Antoine Arbogast (Mutzig, Baix Rin, 4 d'octubre del 1759 - Estrasburg, Baix Rin, 18 d'abril del 1803), fou un matem\u00E0tic franc\u00E8s conegut pel seu c\u00E0lcul de les derivades."@ca . "Louis Fran\u00E7ois Antoine Arbogast"@en . . . . . . . . . . "Louis Fran\u00E7ois Antoine Arbogast (Mutzig, 4 de outubro de 1759 \u2013 Estrasburgo, 18 de abril de 1803) foi um matem\u00E1tico e pol\u00EDtico franc\u00EAs. Especialista em c\u00E1lculo diferencial, desenvolveu o conceito de fun\u00E7\u00E3o descont\u00EDnua e descreveu o fatorial. Foi reitor da Universidade de Estrasburgo, professor da \u00C9cole Polytechnique, tendo sido eleito deputado pelo Baixo Reno na Conven\u00E7\u00E3o Nacional de 1792."@pt . . . . . . . . "1803-04-18"^^ . . . . "Louis Fran\u00E7ois Antoine Arbogast"@es . . "Louis Fran\u00E7ois Antoine Arbogast"@en . . . "Louis Fran\u00E7ois Antoine Arbogast (* 4. Oktober 1759 in Mutzig, Elsass; \u2020 8. April 1803 in Stra\u00DFburg) war ein franz\u00F6sischer Mathematiker."@de . . . . . . . "French"@en . . . . . . . . "\u041B\u0443\u0438-\u0424\u0440\u0430\u043D\u0441\u0443\u0430-\u0410\u043D\u0442\u0443\u0430\u043D \u0410\u0440\u0431\u043E\u0433\u0430\u0441\u0442 (4 \u043E\u043A\u0442\u044F\u0431\u0440\u044F 1759, \u041C\u044E\u0446\u0438\u0433, \u041D\u0438\u0436\u043D\u0438\u0439 \u0420\u0435\u0439\u043D \u2014 18 \u0430\u043F\u0440\u0435\u043B\u044F 1803 \u0438\u043B\u0438 8 \u0430\u043F\u0440\u0435\u043B\u044F 1803, \u0421\u0442\u0440\u0430\u0441\u0431\u0443\u0440\u0433) \u2014 \u0444\u0440\u0430\u043D\u0446\u0443\u0437\u0441\u043A\u0438\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A. \u041E\u043F\u0438\u0441\u0430\u043B \u0447\u0438\u0441\u043B\u043E\u0432\u044B\u0435 \u0440\u044F\u0434\u044B \u043D\u0430\u0437\u0432\u0430\u043D\u043D\u044B\u0435 \u0435\u0433\u043E \u0438\u043C\u0435\u043D\u0435\u043C, \u0431\u044B\u043B \u043F\u0435\u0440\u0432\u044B\u043C, \u043A\u0442\u043E \u043E\u0442\u0434\u0435\u043B\u0438\u043B \u0441\u0438\u043C\u0432\u043E\u043B\u044B \u043E\u043F\u0435\u0440\u0430\u0446\u0438\u0439 \u043E\u0442 \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u0432 \u043A\u043E\u043B\u0438\u0447\u0435\u0441\u0442\u0432\u0430. \u0412 1800 \u0433\u043E\u0434\u0443 \u0438\u043C \u0431\u044B\u043B \u043E\u043F\u0443\u0431\u043B\u0438\u043A\u043E\u0432\u0430\u043D \u0442\u0440\u0430\u043A\u0442\u0430\u0442 \u0433\u0434\u0435 \u043E\u043D \u0432\u043F\u0435\u0440\u0432\u044B\u0435 \u0438\u0437\u043B\u043E\u0436\u0438\u043B \u0444\u043E\u0440\u043C\u0443\u043B\u0443, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u0435\u0433\u043E\u0434\u043D\u044F \u0438\u0437\u0432\u0435\u0441\u0442\u043D\u0430 \u043A\u0430\u043A \u0444\u043E\u0440\u043C\u0443\u043B\u0430 \u0424\u0430\u0430-\u0434\u0438-\u0411\u0440\u0443\u043D\u043E, \u0437\u0430 55 \u043B\u0435\u0442 \u0434\u043E \u0442\u043E\u0433\u043E, \u043A\u0430\u043A \u043E\u043D\u0430 \u0431\u044B\u043B\u0430 \u043E\u043F\u0443\u0431\u043B\u0438\u043A\u043E\u0432\u0430\u043D\u0430 \u0432 \u0440\u0430\u0431\u043E\u0442\u0435 \u0441\u0430\u043C\u043E\u0433\u043E \u0424\u0440\u0430\u043D\u0447\u0435\u0441\u043A\u043E \u0424\u0430\u0430-\u0434\u0438-\u0411\u0440\u0443\u043D\u043E."@ru . . . . . . . "Louis Fran\u00E7ois Antoine Arbogast"@ca . . "11677"^^ . . . . . "Louis Fran\u00E7ois Antoine Arbogast (Mutzig, 4 ottobre 1759 \u2013 Strasburgo, 18 aprile 1803) \u00E8 stato un matematico francese, che contribu\u00EC alla formalizzazione della analisi matematica. \u00C8 stato professore di matematica anche al Coll\u00E8ge de Colmar ed ha condotto importanti ricerche nel campo dell'analisi. Introdusse sia il simbolo per indicare il fattoriale, sia per la derivazione la notazione , alternativa da quella di Leibniz, quella di Newton, e quella di Lagrange, comunque distinta dal differenziale (che veniva gi\u00E0 scritto con ). Egli \u00E8 stato il primo scrittore a separare i simboli di funzionamento da quelli di quantit\u00E0. Il problema era gi\u00E0 sorto nella disputa fra Leibniz e Newton in cui il primo sottolineava la differenziazione ed il secondo la , attribuendo alla derivata anche l'utilit\u00E0 nello studio dei moti e specificatamente nella variazione dei medesimi in relazioni a due variabili; solitamente s di spazio e t di tempo. Arbogast \u00E8 andato ben al di l\u00E0 di Eulero nel tipo di funzioni introdotte attraverso l'integrazione, in quanto sosteneva che le funzioni potrebbero essere discontinue non solo nel senso limitato di Eulero, ma in senso pi\u00F9 generale: ci\u00F2 ha definito la consistenza geometrica ed algebrica di numerose funzioni composte che diversamente non sarebbero state mai risolte sul piano grafico. \u00C8 da questi studi che i valori assoluti indicati con e sostituiti con solo se , vennero indicati con se . Questa modifica apparentemente formale introdusse un nuovo concetto di discontinuit\u00E0 (detta di prima specie), ossia quella in cui i limiti destro e sinistro in un punto della funzione non si eguagliano e producono una differenza di ordinate detto salto della funzione (per definizione finito). Il concetto di discontinuit\u00E0 \u00E8 associato a tre tipi fondamentali di fenomeni che si verificano in un intorno di una precisata funzione: il primo tipo \u00E8 la discontinuit\u00E0 a salto, il secondo quello asintotico, il terzo quello eliminabile. L'opera di Arbogast ha il pregio di considerare separatamente le tre discontinuit\u00E0 verificando che ognuna pu\u00F2 essere utilizzata proficuamente nell'analisi di una funzione. Nel primo caso infatti il salto implica un punto in cui la funzione derivata prima assumer\u00E0 un andamento anomalo, nel secondo la discontinuit\u00E0 consentir\u00E0 di definire l'andamento locale della funzione attraverso una retta a cui la funzione converge approssimandosi al limite. Nel terzo caso la discontinuit\u00E0 \u00E8 eliminabile attribuendo al punto critico il valore del limite al punto critico (nonostante le funzioni discontinue non siano derivabili questa pratica \u00E8 soddisfacente nella maggior parte dei casi)."@it . . . . . . . . . . . . . . "Louis Fran\u00E7ois Antoine Arbogast (4 October 1759 \u2013 8 April 1803) was a French mathematician. He was born at Mutzig in Alsace and died at Strasbourg, where he was professor. He wrote on series and the derivatives known by his name: he was the first writer to separate the symbols of operation from those of quantity, introducing systematically the operator notation DF for the derivative of the function F. In 1800, he published a calculus treatise where the first known statement of what is currently known as Fa\u00E0 di Bruno's formula appears, 55 years before the first published paper of Francesco Fa\u00E0 di Bruno on that topic."@en . . . . . . . "\u0410\u0440\u0431\u043E\u0433\u0430\u0441\u0442, \u041B\u0443\u0438-\u0424\u0440\u0430\u043D\u0441\u0443\u0430-\u0410\u043D\u0442\u0443\u0430\u043D"@ru . "Louis Fran\u00E7ois Antoine Arbogast (* 4. Oktober 1759 in Mutzig, Elsass; \u2020 8. April 1803 in Stra\u00DFburg) war ein franz\u00F6sischer Mathematiker."@de . . . . . . "Louis Fran\u00E7ois Antoine Arbogast"@de . "1116285233"^^ . . . "Louis Fran\u00E7ois Antoine Arbogast (Mutzig, Baix Rin, 4 d'octubre del 1759 - Estrasburg, Baix Rin, 18 d'abril del 1803), fou un matem\u00E0tic franc\u00E8s conegut pel seu c\u00E0lcul de les derivades."@ca . . . . . . . . . . . "1789"^^ . . . . . . "1803-04-18"^^ . "Antoine Arbogast"@it . . . . . . "Louis Fran\u00E7ois Antoine Arbogast"@en . "Louis Fran\u00E7ois Antoine Arbogast (Mutzig, 4 de outubro de 1759 \u2013 Estrasburgo, 18 de abril de 1803) foi um matem\u00E1tico e pol\u00EDtico franc\u00EAs. Especialista em c\u00E1lculo diferencial, desenvolveu o conceito de fun\u00E7\u00E3o descont\u00EDnua e descreveu o fatorial. Foi reitor da Universidade de Estrasburgo, professor da \u00C9cole Polytechnique, tendo sido eleito deputado pelo Baixo Reno na Conven\u00E7\u00E3o Nacional de 1792."@pt . . "Louis Fran\u00E7ois Antoine Arbogast (Mutzig, le 4 octobre 1759 - Strasbourg, le 8 avril 1803) est un math\u00E9maticien, avocat et homme politique fran\u00E7ais d'origine alsacienne. \u00C0 l'origine de l'adoption de l'actuel syst\u00E8me des poids et mesures, il fut aussi d\u00E9put\u00E9 \u00E0 la Convention nationale en 1792."@fr . . .