Adventures in Iterations

Presentation given at PyCon India 2018. In this talk I will show you how Python can be used to make simple to advanced iterative mathematics fun.

Transcript

1. Adventures in Iterations Vikrant Patil
2. Hello! Vikrant Patil @vikipedia Farmer, Software Consultant and Trainer Advanced Programming Courses at Pipal Academy Worked at DRDO and Strand Life Sciences
3. Riffle-Shuffle
4. PYTHON
5. PYTHON
6. PYT HON
7. P-Y-T H-O-N
8. P-Y-T -H-O-N
9. PHYOTN
10. 1. PYTHON 2. PYTHON 3. PYT HON 4. P-Y-T H-O-N 5. P-Y-T -H-O-N 6. PHYOTN
11. 1. PYTHON 2. PYTHON 3. PYT HON 4. P-Y-T H-O-N 5. P-Y-T -H-O-N 6. PHYOTN 5. -P-Y-T H-O-N 6. HPOYNT
12. Iterations
13. Iteration a = f(a)
14. Iteration a = f(f(a))
15. Iteration a = f(f(f(a)))
16. Iteration a = f(f(f(f(a))))
17. Iteration a = f(f(f(f(f(a)))))
18. Riffle-Shuffle Out 0 PYTHON 1 PHYOTN 2 POHTYN 3 PTOYHN 4 PYTHON 5 PHYOTN 6 POHTYN 7 PTOYHN 8 PYTHON 9 PHYOTN In 0 PYTHON 1 HPOYNT 2 YHNPTO 3 PYTHON 4 HPOYNT 5 YHNPTO 6 PYTHON 7 HPOYNT 8 YHNPTO 9 PYTHON
19. Iterations in Python
20. Iterations in Python • Lists – indexing, slicing • for loops • List comprehensions • Iteration patterns
21. Iterations in Python
22. Iterations in Python
23. Iterations in Python
24. Iterations in Python
25. Iterations in Python
26. Riffle-Shuffle in Python
27. Lets riffle-shuffle!
28. Lets riffle-shuffle!
29. Sum of Squares (SSQ)
31. 1*1 + 7*7
32. 1 +49
34. Sum Of Squares(SSQ) • Begin with a number a = 1234 • Find sum of squares of its digits (1 + 4 + 9 +16 = 30) • Let this SSQ be new vale of a • Repeat above procedure observe what happens to a
35. SSQ
36. Functions, First Class Objects
37. Sequences
38. SSQ-17
39. SSQ-9
40. SSQ-7
41. Kaprekar Iteration
43. 8653 - 3568
45. Kaprekar Iteration • from max number and min number by rearranging digits of a number. • take difference of these two numbers
46. Kaprekar Iteration - 5638
47. Kaprekar Iteration - 1237
48. Kaprekar Itearation - 74596
49. What Next?
50. Try this
51. Try this
52. Sierpinski Triangle
53. References
55. Thank You! Vikrant Patil @vikipedia Slides: https://bit.ly/iter-slides Notebook: https://bit.ly/iter-notebook