From 0e864844dad0b97d3b4a34a6cacaa12e2c233d31 Mon Sep 17 00:00:00 2001 From: Giorgos Mousa Date: Wed, 31 Jan 2024 20:23:14 +0200 Subject: [PATCH] Translate "A Tour of Sage" into Greek --- src/doc/el/a_tour_of_sage/conf.py | 40 +++++++ src/doc/el/a_tour_of_sage/eigen_plot.png | Bin 0 -> 18520 bytes src/doc/el/a_tour_of_sage/index.rst | 145 +++++++++++++++++++++++ src/doc/el/a_tour_of_sage/sin_plot.png | Bin 0 -> 30132 bytes src/doc/en/website/root_index.html | 10 ++ 5 files changed, 195 insertions(+) create mode 100644 src/doc/el/a_tour_of_sage/conf.py create mode 100644 src/doc/el/a_tour_of_sage/eigen_plot.png create mode 100644 src/doc/el/a_tour_of_sage/index.rst create mode 100644 src/doc/el/a_tour_of_sage/sin_plot.png diff --git a/src/doc/el/a_tour_of_sage/conf.py b/src/doc/el/a_tour_of_sage/conf.py new file mode 100644 index 00000000000..f451fdf5ab8 --- /dev/null +++ b/src/doc/el/a_tour_of_sage/conf.py @@ -0,0 +1,40 @@ +# nodoctest +# Numerical Sage documentation build configuration file, created by +# sphinx-quickstart on Sat Dec 6 11:08:04 2008. +# +# This file is execfile()d with the current directory set to its containing dir. +# +# The contents of this file are pickled, so don't put values in the namespace +# that aren't pickleable (module imports are okay, they're removed automatically). +# +# All configuration values have a default; values that are commented out +# serve to show the default. + +from sage_docbuild.conf import release +from sage_docbuild.conf import * # NOQA + +# Add any paths that contain custom static files (such as style sheets), +# relative to this directory to html_static_path. They are copied after the +# builtin static files, so a file named "default.css" will overwrite the +# builtin "default.css". html_common_static_path imported from sage_docbuild.conf +# contains common paths. +html_static_path = [] + html_common_static_path + +# General information about the project. +project = 'Περιήγηση στο Sage' +name = 'a_tour_of_sage' +language = 'el' + +# The name for this set of Sphinx documents. If None, it defaults to +# " v documentation". +html_title = project + ' v' + release + +# Output file base name for HTML help builder. +htmlhelp_basename = name + +# Grouping the document tree into LaTeX files. List of tuples +# (source start file, target name, title, author, document class [howto/manual]). +latex_documents = [ + ('index', name + '.tex', project, + 'The Sage Development Team', 'manual'), +] diff --git a/src/doc/el/a_tour_of_sage/eigen_plot.png b/src/doc/el/a_tour_of_sage/eigen_plot.png new file mode 100644 index 0000000000000000000000000000000000000000..925264764f198f9f7f4e9d753d684eb180e1d048 GIT binary patch literal 18520 zcmch2!$Y42=@5FbI;_JaSz|;=DTg1>m0A6U%WlH zXz;j-_zJCjOH*!M0WA^lumJ*b*<&!yV0n~cSk4u`ZTamjlaqX-!^;OZ)4mvAdHswd zCh&^J@4YssPfvfpJ$LW(p;x`37w2B3hePUT^UV#Z`P7*|2fi{y;4|$szDR@r10O#M zB!wUvi*w*CA(JQnzx^`Tu)NbT=bV#~!7-`{PQ)n`q5!A$gS-fwN7Kju@fXH@Um4i0 za5{c@-02boJ!3hiO?5nXy~=$x7menNi;sWe^#mLvRruZRIn$`NnJ5n0YuCQdY<^#L zSNP{IG{)jDEA^xKdjF8=fzR3bMt2i}~0YSm@Dq7o4IW zxQyG}+)*5EtD|ro9UUHi{;)qE!5^g3M@mTog6D&Rh`pqkE63Mv_mD$S%T;iO0tw2| zq`IfZ;3lWl{g;z+p4u7RE1!t=@9`jmplq>(2!?YH{EyWc?zQAiPxHYHF%GMJU*t9L z1%0X4At;m{Z9KR!Y^LGlH03$-#Ciz5&;{Pt!a|H@kZ>huQdUct@YCw(jL}{vfgm@N 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+Η γραμμή εντολών στο Sage εκκινεί με το μήνυμα προτροπής "``sage:``". Για +πειραματισμό με τα ακόλουθα παραδείγματα, αρκεί να εισαγάγετε το μέρος μετά το +μήνυμα προτροπής. + +:: + + sage: 3 + 5 + 8 + +Εάν χρησιμοποιείτε το Sage σε σημειωματάριο Jupyter, τότε -- παρομοίως -- +τοποθετείστε τα πάντα έπειτα του μηνύματος προτροπής εντός ενός κελιού +εισαγωγής, και πατήστε :kbd:`Shift-Enter` για να λάβετε την αντίστοιχη έξοδο. + +Το σύμβολο εκθέτη σημαίνει «ύψωση σε δύναμη». + +:: + + sage: 57.1^100 + 4.60904368661396e175 + +Υπολογίζουμε τον αντίστροφο ενός :math:`2 \times 2` πίνακα στο Sage. + +:: + + sage: matrix([[1, 2], [3, 4]])^(-1) + [ -2 1] + [ 3/2 -1/2] + +Εδώ υπολογίζουμε το ολοκλήρωμα μίας απλής συνάρτησης. + +:: + + sage: x = var('x') # δημιουργίας συμβολικής μεταβλητής + sage: integrate(sqrt(x) * sqrt(1 + x), x) + 1/4*((x + 1)^(3/2)/x^(3/2) + sqrt(x + 1)/sqrt(x))/((x + 1)^2/x^2 - 2*(x + 1)/x + 1) + - 1/8*log(sqrt(x + 1)/sqrt(x) + 1) + 1/8*log(sqrt(x + 1)/sqrt(x) - 1) + +Εδώ το Sage καλείται να λύσει μία δευτεροβάθμια εξίσωση. Το σύμβολο ``==`` +αντιπροσωπεύει την ισότητα στο Sage. + +:: + + sage: a = var('a') + sage: S = solve(x^2 + x == a, x); S + [x == -1/2*sqrt(4*a + 1) - 1/2, x == 1/2*sqrt(4*a + 1) - 1/2] + +Το αποτέλεσμα είναι μία λίστα από ισότητες. + +.. link + +:: + + sage: S[0].rhs() # δεξί μέρος της εξίσωσης (rhs = right hand side) + -1/2*sqrt(4*a + 1) - 1/2 + +Το Sage μπορεί να παραγάγει γραφήματα για διάφορες συναρτήσεις. + +:: + + sage: show(plot(sin(x) + sin(1.6*x), 0, 40)) + +.. image:: sin_plot.* + + +Το Sage είναι μία πολύ ισχυρή αριθμομηχανή. Για να το δείτε αυτό, δημιουργείστε +έναν :math:`500 \times 500` πίνακα με τυχαίους αριθμούς. + +:: + + sage: m = random_matrix(RDF, 500) + +Το Sage χρειάζεται ένα δευτερόλεπτο για τον υπολογισμό και την γραφική +παρουσίαση των ιδιοτιμών του πίνακα. + +.. link + +:: + + sage: e = m.eigenvalues() # περίπου 1 δευτερόλεπτο + sage: w = [(i, abs(e[i])) for i in range(len(e))] + sage: show(points(w)) + +.. image:: eigen_plot.* + + +Το Sage μπορεί να διαχειριστεί τεράστιους αριθμούς, ακόμα και με εκατομμύρια ή +δισεκατομμύρια ψηφία. + +:: + + sage: factorial(100) + 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000 + +:: + + sage: n = factorial(1000000) # περίπου 1 δευτερόλεπτο + sage: len(n.digits()) + 5565709 + +Εδώ υπολογίζουμε τουλάχιστον 100 ψηφία του αριθμού :math:`\pi`. + +:: + + sage: N(pi, digits=100) + 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068 + +Εδώ το Sage παραγοντοποιεί ένα πολυώνυμο δύο μεταβλητών. + +:: + + sage: R. = QQ[] + sage: F = factor(x^99 + y^99) + sage: F + (x + y) * (x^2 - x*y + y^2) * (x^6 - x^3*y^3 + y^6) * + (x^10 - x^9*y + x^8*y^2 - x^7*y^3 + x^6*y^4 - x^5*y^5 + + x^4*y^6 - x^3*y^7 + x^2*y^8 - x*y^9 + y^10) * + (x^20 + x^19*y - x^17*y^3 - x^16*y^4 + x^14*y^6 + x^13*y^7 - + x^11*y^9 - x^10*y^10 - x^9*y^11 + x^7*y^13 + x^6*y^14 - + x^4*y^16 - x^3*y^17 + x*y^19 + y^20) * (x^60 + x^57*y^3 - + x^51*y^9 - x^48*y^12 + x^42*y^18 + x^39*y^21 - x^33*y^27 - + x^30*y^30 - x^27*y^33 + x^21*y^39 + x^18*y^42 - x^12*y^48 - + x^9*y^51 + x^3*y^57 + y^60) + sage: F.expand() + x^99 + y^99 + +Το Sage χρειάζεται λιγότερο από 1 δευτερόλεπτο για να υπολογίσει τους τρόπους +με τους οποίους ο αριθμός 100 εκατομμύρια μπορεί να γραφεί ως άθροισμα θετικών +ακεραίων. + +:: + + sage: z = Partitions(10^8).cardinality() # περίπου .1 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Tutorial
Thematic Tutorials
+
+
Greek
+
Hungarian
@@ -135,6 +140,11 @@

Sage Documentation

Tutorial
Thematic Tutorials
+
+
Greek
+
Hungarian