View gist:c0d9b4aa350d7db8ed6d28af364a86c6
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$\int{f(x) g'(x) \ dx} = fg - \int{ g(x) f'(x) \ dx}$ | |
$\int{cos^2x \ dx} = \int{cos \ x \ cos \ x \ dx} = \int{cos \ x \ (sin \ x)' \ dx} = cos \ x \ sin \ x - \int{sin \ x \ (cos \ x)' \ dx} = cos \ x \ sin \ x - \int{sin \ x \ sin \ x \ dx} = cos \ x \ sin \ x - \int{sin^2 \ x \ dx} = sin\ x \ cos \ x + \int{sin^2 \ x \ dx} = sin\ x \ cos \ x + \int{ (1 - cos^2 \ x) \ x \ dx} = sin\ x \ cos \ x + \int{ 1 \ dx} - \int{ cos^2 \ x \ dx} = sin\ x \ cos \ x + x - \int{ cos^2 \ x \ dx} => \int \cos ^2x\,dx=\frac{x+\sin x\cos x}{2}+C. $ |
View hexa2DecGCD.py
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def hexaGCD( x, y, z): | |
def pow2(a,b): | |
p = 1 | |
for i in range(1,b+1): | |
p = p * a | |
return p |
View pointerToFn.c
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#include <stdio.h> | |
#include <malloc.h> | |
#define fin "algsort.in" | |
typedef int (*ptr2)(const int a,const int b); | |
typedef void (*ptr1)(int*, int, ptr2); | |
int comp(int a, int b) { |
View sqrt_babylonian.py
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# | |
# Square Root Babylonian Method | |
# @Adrian Statescu | |
# | |
def sqrt_babylonian(n): | |
x = n | |
y = 1.0 | |
eps = 0.000001 | |
while x - y > eps: | |
x = (x + y) / 2 |
View sqrt_babylonian.rb
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# | |
# Square Root Babylonian Method | |
# @Adrian Statescu | |
# | |
def sqrt_babylonian(n) | |
x = n | |
y = 1.0 | |
e = 0.000001 | |
while x - y > e | |
x = (x + y) / 2 |
View linkedlist.c
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#include <stdio.h> | |
#include <malloc.h> | |
typedef struct Node { | |
int data; | |
struct Node *next; | |
} Node; | |
Node *head = NULL; |
View decorators.py
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def make_bold(f): | |
def bold_wrapper(): | |
return "<b>" + f() +"</b>" | |
return bold_wrapper | |
def make_italic(f): | |
def italic_wrapper(): | |
return "<i>" + f() + "</i>" | |
return italic_wrapper |
View mindReader
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from time import sleep | |
from sys import stdout | |
def printt(string, delay = 0.05): | |
for c in string: | |
stdout.write(c) | |
stdout.flush() | |
sleep(delay) | |
print("") |
View change-color-dir.txt
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;to change your directory colors, open up your ~/.bashrc file with your editor | |
;and make the following entry at the end of the | |
LS_COLORS=$LS_COLORS:'di=0;35:' ; export LS_COLORS |
View repeatuntil.c
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#include <stdio.h> | |
#define __repeat__ do | |
#define __until__(COND) while(!(COND)) | |
int isPrime(int n) { | |
if( n == 0 || n == 1 ) return 0; | |
if( n == 2 || n == 3 ) return 1; | |
int i = 2, |
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