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he completed mathematical exams in half the allotted time, and showed a familiarity with geometry and infinite series.
Ολοκλήρωσε τις εξετάσεις του στα μαθηματικά στο μισό προαπαιτούμενο χρόνο και επέδειξε μεγάλη οικειότητα με την γεωμετρία και τις άπειρες σειρές.
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if, on the other hand, the universe were not curved like a sphere but had a flat topology, it could be both unbounded and infinite.
"Εάν, από την άλλη πλευρά, το σύμπαν δεν ήταν κυρτό σαν μια σφαίρα, αλλά είχε μια επίπεδη τοπολογία, θα μπορούσε να είναι τόσο απεριόριστο όσο και άπειρο.
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in the 14th century, indian mathematician madhava of sangamagrama and the kerala school of astronomy and mathematics stated components of calculus such as the taylor series and infinite series approximations.
=== Μεσαίωνας ===Τον 14ο αιώνα, ο ινδός μαθηματικός madhava sangamagrama και το σχολείο kerala της αστρονομίας και των μαθηματικών όρισε συστατικά του λογισμού, όπως η σειρά taylor και οι άπειρες προσεγγίσεις σειράς.
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* marvin minsky, "computation, finite and infinite machines", prentice-hall, inc., n.j., 1967.
* marvin minsky, "computation, finite and infinite machines", prentice-hall, inc., n.j., 1967.
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non-standard analysis, introduced by abraham robinson, rehabillitated the infinitesimal approach to calculus, which had fallen into disrepute in favour of the theory of limits, by extending the field of real numbers to the hyperreal numbers which include infinitesimal and infinite quantities.
Η μη τυπική ανάλυση , που θεσπίστηκε με τον Αβραάμ robinson , rehabillitated απειροελάχιστη προσέγγιση στο λογισμό , ο οποίος είχε πέσει σε ανυποληψία υπέρ της θεωρίας των ορίων , επεκτείνοντας το πεδίο των πραγματικών αριθμών με τις hyperreal αριθμούς που περιλαμβάνουν απειροελάχιστη και άπειρες ποσότητες .
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