Blog Update 5/2/2018

Blog Update 5/2/2018

Hey everyone!  Just to let you know that I’ll be on a short break for the next couple of weeks.  I have to wrap up on a few things plus I’ll be on vacation.

Math wise, I’m brushing up on some physics (forces and torque), finance (IRR and MIRR), and studying programming regarding graphics. 

Thank you for all your support, and I look forward to keep talking mathematics and calculators as always,

Eddie

Vacation! And some goodies!

Greetings from San Luis Obispo. I am on vacation this week having a great time!

So far I visited Morro Bay (what a sight - despite the presence of a power plant),hung out in downtown SLO, and visited Cal Poly (and it's library - I am going to hit the library at UC Santa Barbara tomorrow).

Some math tips I picked up from my visit:

Fuzzy sets are sets that allow degrees of membership. Instead of having a Yes/No decision of whether an object belongs in a set, degrees of acceptance are allowed.

Let A(x) → [0,1] where A(x) is the degree of acceptance.

The basic properties for normal sets work for fuzzy sets.

From the NIST Handbook of Mathematical Functions (that book is huge!):

Ways to calculate some functions:

Error Function:

erf(z) = 2/√π * ∫(e^(-t^2) dt, 0, z) = 2/√π * Σ((-1)^n * z^(2*n+1) /(n! * (2*n+1)), n=0 to infinity)

Γ(z) = ∫(e^-t * t^(z-1) dt,0,infinity) = (z-1)! = π /(sin (π*z) * Γ(1-z))

Γ(x) ≈ e^-x * x^x * √(2 π/x) * Σ(g_k/x^k, k=0 to infinity) where g_k is from a series. The first few terms are

g_1 = 1
g_2 = 1/12
g_3 = 1/288
g_4 = -139/51840
g_5 = -571/2488320
g_6 = 163879/2090188880

zeta(s) = Σ(n^-s, n=0 to infinity) = 2^(s-1)/Γ(s+1) * ∫(x^s/(sinh x)^2 dx, 0, infinity)
= 1/Γ(s) * ∫(x^(s-1)/(e^x - 1) dx, 0, infinity)


Wishing the best for everyone,

Eddie

Santa Barabra

I am on vacation this week and loving it. I visited UCSB and found the math department. Below is a picture to remember my visit by.

Look forward to blogging again in September!

Eddie