Physics Town

continues

Mega Man Zero 3

Posted on August 1, 2022 by rpflee

Euler problem 1

(proclaim '(optimize speed))

(reduce #'+ '(1 2 3 4))

; 10

(loop :for n :below 10 :collect n)

; (0 1 2 3 4 5 6 7 8 9)

(describe :below)

(defun range (max &key (min 0) (step 1))
   (loop :for n :from min :below max :by step
      collect n))
      
(- (+ (* 3 (reduce #'+ (range 334 :min 1 :step 1)))
      (* 5 (reduce #'+ (range 200 :min 1 :step 1))))
   (* 15 (reduce #'+ (range 67 :min 1 :step 1))))
   
; 233168

(defun sum-1-n (n)
  (/ (* n (+ n 1)) 2))
  
(- (+ (* 3 (sum-1-n 333))
      (* 5 (sum-1-n 199)))
   (* 15 (sum-1-n 66)))
   
; 233168

— Me@2022-08-01 03:29:01 PM

Jupyter Notebook

Posted on August 1, 2022 by rpflee

SICMUtils, 3

The goal of this post to setup Jupyter Notebook.

1. Read and follow the exact steps of my post titled “SICMUtils“.

2. To install the Jupyter Notebook software in Ubuntu, use this command:

sudo apt-get install sagemath-jupyter

3. Try to open the SageMath program.

4. It will open a Jupyter notebook page.

5. Click the “New” button at the top right corner and then select “SageMath“.

6. Type

1 + 1

onto the input line.

7. Hit the keys shift-enter to get the output

8. Input

Integrate(x^3, x)

9. Hit shift-enter:

NameError: name 'Integrate' is not defined

10. Input

from sage.symbolic.integration.integral import *

indefinite_integral(x^3, x)

11. Hit shift-enter:

1/4*x^4

12. Input

%display latex

13. Hit shift-enter.

14. Input

indefinite_integral(x^3, x)

15. Hit shift-enter:

$\displaystyle{\frac{1}{4} \, x^{4}}$

— Me@2022-07-30 12:18:50 PM