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^(z1) dt,0,infinity) = (z1)! = π /(sin (π*z) * Γ(1z))
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^(s1)/Γ(s+1) * ∫(x^s/(sinh x)^2 dx, 0, infinity)
= 1/Γ(s) * ∫(x^(s1)/(e^x  1) dx, 0, infinity)
Wishing the best for everyone,
Eddie
A blog is that is all about mathematics and calculators, two of my passions in life.
Thursday, May 9, 2013
Vacation! And some goodies!
Subscribe to:
Post Comments (Atom)
Adventures in Python: String Manipulation and Function/Derivative Table (Subroutines)
Adventures in Python: String Manipulation and Function/Derivative Table (Subroutines) String Manipulation This script demonstrate...

Casio fx991EX Classwiz Review Casio FX991EX The next incarnation of the fx991 line of Casio calculators is the fx991 EX. ...

TI36X Pro Review This is a review of the TI36X Pro Calculator by Texas Instruments. History Originally, this was the TI30X Pro that w...

One of the missing features of the TI82/83/84 family is the ability to convert between bases. Here are two programs in TIBasic to help...
No comments:
Post a Comment