28 #+LANGUAGE: en |
28 #+LANGUAGE: en |
29 #+OPTIONS: H:3 num:nil toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t |
29 #+OPTIONS: H:3 num:nil toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t |
30 #+OPTIONS: TeX:t LaTeX:nil skip:nil d:nil todo:nil pri:nil tags:not-in-toc |
30 #+OPTIONS: TeX:t LaTeX:nil skip:nil d:nil todo:nil pri:nil tags:not-in-toc |
31 |
31 |
32 * Outline |
32 * Outline |
33 - Manipulating one and multi dimensional arrays |
33 - Know what Sage and Sage notebook are. |
34 - Access and change individual elements |
34 - Be able to start a Sage shell or notebook |
35 - Access and change rows and columns |
35 - Be able to start using the notebook |
36 - Slicing and striding on arrays to access chunks |
36 - Be able to create new worksheets |
37 - Read images into arrays and manipulations |
37 - Know about the menu options available |
38 * Sample Arrays |
38 - Know about the cells in the worksheet |
39 #+begin_src python |
39 - Be able to evaluate cells, create and delete cells, navigate them. |
40 In []: A = array([12, 23, 34, 45, 56]) |
40 - Be able to make annotations in the worksheet |
41 |
41 - Be able to use tab completion. |
42 In []: C = array([[11, 12, 13, 14, 15], |
42 - Be able to use code from other languages in the cells. |
43 [21, 22, 23, 24, 25], |
43 * What is Sage? |
44 [31, 32, 33, 34, 35], |
44 - free, open-source mathematical software. |
45 [41, 42, 43, 44, 45], |
45 - can do a lot of math for you, including, but not limited to |
46 [51, 52, 53, 54, 55]]) |
46 + algebra |
47 |
47 + geometry |
48 #+end_src |
48 + cryptography |
49 * Question 1 |
49 + graph theory |
50 Change the last column of ~C~ to zeroes. |
50 - can be used as aid in teaching and research |
51 * Solution 1 |
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52 #+begin_src python |
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53 In []: C[:, -1] = 0 |
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54 #+end_src |
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55 * Question 2 |
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56 Change ~A~ to ~[11, 12, 13, 14, 15]~. |
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57 * Solution 2 |
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58 #+begin_src python |
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59 In []: A[:] = [11, 12, 13, 14, 15] |
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60 #+end_src |
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61 * squares.png |
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62 #+begin_latex |
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63 \begin{center} |
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64 \includegraphics[scale=0.6]{squares} |
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65 \end{center} |
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66 #+end_latex |
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67 * Question 3 |
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68 - obtain ~[22, 23]~ from ~C~. |
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69 - obtain ~[11, 21, 31, 41]~ from ~C~. |
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70 - obtain ~[21, 31, 41, 0]~. |
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71 * Solution 3 |
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72 #+begin_src python |
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73 In []: C[1, 1:3] |
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74 In []: C[0:4, 0] |
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75 In []: C[1:5, 0] |
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76 #+end_src |
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77 * Question 4 |
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78 Obtain ~[[23, 24], [33, -34]]~ from ~C~ |
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79 * Solution 4 |
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80 #+begin_src python |
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81 In []: C[1:3, 2:4] |
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82 #+end_src |
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83 * Question 5 |
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84 Obtain the square in the center of the image |
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85 * Solution 5 |
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86 #+begin_src python |
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87 In []: imshow(I[75:225, 75:225]) |
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88 #+end_src |
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89 * Question 6 |
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90 Obtain the following |
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91 #+begin_src python |
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92 [[12, 0], [42, 0]] |
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93 [[12, 13, 14], [0, 0, 0]] |
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94 #+end_src |
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95 |
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96 * Solution 6 |
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97 #+begin_src python |
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98 In []: C[::3, 1::3] |
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99 In []: C[::4, 1:4] |
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100 #+end_src |
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101 * Summary |
51 * Summary |
102 You should now be able to -- |
52 + What is Sage |
103 - Manipulate 1D \& Multi dimensional arrays |
53 + How to start Sage shell |
104 - Access and change individual elements |
54 + What is Sage notebook |
105 - Access and change rows and columns |
55 + How to start the Sage notebook |
106 - Slice and stride on arrays |
56 + How to create accounts and start using the notebook |
107 - Read images into arrays and manipulate them. |
57 + How to create new worksheets |
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58 + The menus available on the notebook |
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59 + About cells in the worksheet |
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60 + Methods to evaluate the cell, create new cells, delete the cells |
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61 and navigate around the cells |
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62 + To make annotations in the worksheet |
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63 + Tab completions |
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64 + And embedding code of other scripting languages in the cells |
108 * Thank you! |
65 * Thank you! |
109 #+begin_latex |
66 #+begin_latex |
110 \begin{block}{} |
67 \begin{block}{} |
111 \begin{center} |
68 \begin{center} |
112 This spoken tutorial has been produced by the |
69 This spoken tutorial has been produced by the |