Unknown symbol in a fuzzy logic equation

Click For Summary
The discussion centers on the meaning of the symbol 'U' in a fuzzy logic equation related to histogram normalization. The symbol 'U' represents the union of multiple objects, similar to how summation is denoted in mathematics. A reference to MathWorld is provided for further clarification on the concept of union. Understanding this symbol is crucial for accurately interpreting fuzzy logic equations in image processing. The explanation aims to assist in comprehending the mathematical notation used in the field.
cnyd
Messages
1
Reaction score
0
Hi people

I study on image processing and fuzzy logic. When I working on histogram normalization, I saw an equation which includes a symbol 'U' letter. On the bottom of the 'U' (m=1) and on the top of the 'U' (K) is written. And i want to learn what its (U) mean.

Thanks in advance.

Cuneyd HELVACI
 
Physics news on Phys.org
It's the union of a bunch of objects; it's exactly analogous to using \sum_{i=1}^k a_i to denote a bunch of additions.
 

Thread 'Hypothesis testing: Defining H0, HA hypotheses so that ( H_A)_A' makes sense'

The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...
View full post »

Similar threads

Graduate The inherent 2-dimensional nature of formal math?
  • · Replies 6 ·
Replies
6
Views
1K
What Do Upside-down A, V, and U Symbols Mean in Logic?
  • · Replies 12 ·
Replies
12
Views
28K
MHB Please help with bool algebra and logic things
  • · Replies 2 ·
Replies
2
Views
2K
Mathematical statements with logical symbols
  • · Replies 6 ·
Replies
6
Views
7K
Undergrad Definition of minimal ideal using symbolic logic notation
  • · Replies 3 ·
Replies
3
Views
1K
[EZ] I could really use some help understanding the following symbols....
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Solving a System of Nonlinear Equations Symbolically
  • · Replies 9 ·
Replies
9
Views
3K
Propositional Logic -- expressing in formal logic notataion
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Search for CPT violation with protons/antiprotons using quantum logic
  • · Replies 1 ·
Replies
1
Views
3K
Becoming proficient in Symbolic Logic
  • · Replies 2 ·
Replies
2
Views
2K