Werke: [Höhere Arithmetik] Theorematis arithmetici

Gauß, Carl Friedrich

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Multivolume work

Persistent identifier:: 1663674213

Title:: Proceedings, XXth congress

Sub title:: Istanbul, 12 - 23 July 2004

Year of publication:: 2004

Place of publication:: Istanbul

Publisher of the original:: [Verlag nicht ermittelbar]

Identifier (digital):: 1663674213

Language:: English

Additional Notes:: Erscheinungsdatum des Originals ist aus dem Copyrightjahr ermittelt.; Auch bezeichnet als XXth International Congress for Photogrammetry and Remote Sensing

Editor:: Altan, M. Orhan

Corporations:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition

Adapter:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition

Founder of work:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition

Other corporate:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition

Document type:: Multivolume work

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Persistent identifier:: 1663687293

Title:: Proceedings, XXth congress

Scope:: XII, 1340 Seiten

Year of publication:: 2004

Place of publication:: Istanbul

Publisher of the original:: [Verlag nicht ermittelbar]

Identifier (digital):: 1663687293

Illustration:: Illustrationen, Diagramme

Signature of the source:: ZS 312(35,B7)

Language:: English

Additional Notes:: Erscheinungsdatum des Originals ist aus dem Copyrightjahr ermittelt.

Usage licence:: Attribution 4.0 International (CC BY 4.0)

Editor:: Altan, M. Orhan

Corporations:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission VII, Resource and Environmental Monitoring

Adapter:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission VII, Resource and Environmental Monitoring

Founder of work:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission VII, Resource and Environmental Monitoring

Other corporate:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission VII, Resource and Environmental Monitoring

Publisher of the digital copy:: Technische Informationsbibliothek Hannover

Place of publication of the digital copy:: Hannover

Year of publication of the original:: 2019

Document type:: Volume

Collection:: Earth sciences

Chapter

Title:: UNCERTAINTY IN CALIBRATING FLOOD PROPAGATION MODELS WITH FLOOD BOUNDARIES DERIVED FROM SYNTHETIC APERTURE RADAR IMAGERY. P. Matgen, J.-B. Henry, F. Pappenberger, P. de Fraipont, L. Hoffmann, L. Pfister [...]

Document type:: Multivolume work

Structure type:: Chapter

THEOREMATIS ARITHMETICI DEMONSTRATIO NOVA. Ceterum simili modo demonstrari potest, si k fuerit numerus par ad p primus, fore +»]+[?]+[?]i 4 ^ 1J At huic propositioni ad institutum nostrum non necessariae non immoramur. 7. lam ex combinatione theorematis praec. cum propos. VIII. art. 4. theorema fundamentale protinus demanat. Nimirum denotantibus k, p numeros primos positivos inaequales quoscunque, et ponendo (*• +[ji • - • • +[^] = £ (* *)+[f]+m+Rfl ■ • • •+[^]= m per VIII. art.4. patet, L et M semper fieri numeros pares. At per theorema art. 6. erit L-\-M= {k, p)+{p, k)-\-\[k — 1) [p—1) Quoties igitur \{k — 1 ){p—1) par evadit, quod fit, si vel uterque k, p vel sal tem alteruter est formae 4 n -f-1, necessario (,k, p) et [p, k) vel ambo pares vel ambo impares esse debent. Quoties autem \{k—1 ){p — 1) impar est, quod eve nit, si uterque k, p est formae 4 w —{— 3, necessario alter numerorum [k,p),[p,k) par, alter impar esse debebit. In casu priori itaque relatio ipsius k ad p et re latio ipsius p ad k (quatenus alter alterius residuum vel non-residuum est) iden- ticae erunt, in casu posteriori oppositae. Q. E. D. Comme

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