The Riemann Sum!
posted to Tutorials by LizFoster

if you wana see calculas visualy see three blue one brown chanal https://youtu.be/WUvTyaaNkzM @DynamicSquid

What is Your Programming Lanugage? :)
posted to Ask by yasin213

python

EVEN MORE APPROXIMATIONS OF π!!
posted to Share by LizFoster

I have a way of approximating pi but i do not now if it is plausible:
in calculs we know that an integral = area under curve
and from geomtry area of circle = pi(r)^2
the circle furmula is x^2+y^2=r^2 solve for y :
y=((r^2)-(x^2))^(1/2)
(interrating from -r to r = area of half a circle)
2 = area of circle
then solve for pi :
pi = (area of circle)/(r^2)
to calculate the intergration use riymen's sum or simpson's rule
i know how to solve simpson rule only on desmos
is it plausible

Logarithms and Inverse Logarithms!
posted to Share by LizFoster

haha or like you [email protected]

Logarithms and Inverse Logarithms!
posted to Share by LizFoster

mmmm let's try making a python based desmos haha @LizFoster

Logarithms and Inverse Logarithms!
posted to Share by LizFoster

not on yours or not on python [email protected]

Logarithms and Inverse Logarithms!
posted to Share by LizFoster

mmmm could i input a function @LizFoster

Logarithms and Inverse Logarithms!
posted to Share by LizFoster

wow and didn't understand how
how did you made a turtle to graph a function till me

The Riemann Sum!
posted to Tutorials by LizFoster
The Riemann Sum!
posted to Tutorials by LizFoster

I relly do not know but certinly you should try finding a code to find higher drivtion at first for any [email protected]

The Riemann Sum!
posted to Tutorials by LizFoster

as for learning culculas i highly recomend CALCULUS, FOURTH EDITION by robert smith and roland for all bacics of calculas untill second order diddrential equstion
if any one need it i have it it is from where i am studing from now @LizFoster

The Riemann Sum!
posted to Tutorials by LizFoster

are you asking f to the power (n*a) [email protected]

The Riemann Sum!
posted to Tutorials by LizFoster

philosphy math and physics are my [email protected]

The Riemann Sum!
posted to Tutorials by LizFoster

I wow I am amused in all of the intrest on rymen sum what if you proximate it using tylor serise what will happen

The Riemann Sum!
posted to Tutorials by LizFoster

numberphile is a good one [email protected]

The Riemann Sum!
posted to Tutorials by LizFoster

the best chanal for math seekeris i am affriad of being involved of his diffrential calculas [email protected]

The Riemann Sum!
posted to Tutorials by LizFoster

let us witie for anthor rymen [email protected]

The Riemann Sum!
posted to Tutorials by LizFoster



𝛑 approximations 3!!!!!
posted to Share by LizFoster

let us see what pi's forth aprro will hold for us
do not to forget to tell me when it is ready bye @LizFoster

𝛑 approximations 3!!!!!
posted to Share by LizFoster

what could you do is to solve for n :
n =((k*(b-a)3)/24EM)(1/2)@luffy223

𝛑 approximations 3!!!!!
posted to Share by LizFoster

for midle point :
EM=((k(b-a)**3)/24(n**2)) , k => (f(x))"
do not ask why i can not prove it @LizFoster

𝛑 approximations 3!!!!!
posted to Share by LizFoster

what is wwwww
@LizFoster

𝛑 approximations 3!!!!!
posted to Share by LizFoster

all of them we are plying with the initial xi that is inputed into f(x) :

1)right end pint (ri) = a + i*delta(x) , a= intial point and i = [1,2,...,n] , n= number of rectangls

2)lift end point (li) = a + (i-1)*delta(x)

3)mid end point (mi) = a + (i-0.5)*delta(x)
(has an error bond formula)

4) trapisiod sum : uses (li) in a special way
(has an error bond)

5) finally my best simpson rule
is a combination of (li)
and a special odd end point (oi) = a + (2i-1)*delta(x)
(has the smalest error bond formula)
should i incloud the error bond furmula @LizFoster

𝛑 approximations 3!!!!!
posted to Share by LizFoster

:)@luffy223

𝛑 approximations 3!!!!!
posted to Share by LizFoster

cool and finally
thou i didn't understand the rymen sum part how did you played with it
lastly for the rymen sum ther are 5 more alternative
3 wich you could know how many n is needed to be in specific error bound
should i mention them

Pythagorean Triples
posted to Share by LizFoster

finally I made my first rymen sum
it has some flaws but it works
if you wana see it go to my page and it is called ryman sum it can work only for n = 10 if you could solve the proplem as for f(x) to solve your proplem i used while loop a tirring task @LizFoster