# Scrabble?! REFINEMENTS

Is refinements valid for Scrabble? Words With Friends? Lexulous? WordFeud? Other games?
Yes! (66 pts)
Yes! (54 pts)
Yes! (66 pts)
Yes! (54 pts)
Yes! (66 pts)
Yes! (66 pts)
Yes! (11 pts)
Yes! (66 pts)
Yes! (68 pts)

## Definitions of REFINEMENTS in various dictionaries:

In mathematical analysis and in probability theory, a σ-algebra (also σ-field) on a set X is a collection Σ of subsets of X that includes the empty subset, is closed under complement, and is closed under countable unions and countable intersections. The pair (X, Σ) is called a measurable space or Borel space. A σ-algebra is a type of algebra of sets. An algebra of sets needs only to be closed under the union or intersection of finitely many subsets, which is a weaker condition.The main use of σ-algebras is in the definition of measures; specifically, the collection of those subsets for which a given measure is defined is necessarily a σ-algebra. This concept is important in mathematical analysis as the foundation for Lebesgue integration, and in probability theory, where it is interpreted as the collection of events which can be assigned probabilities. Also, in probability, σ-algebras are pivotal in the definition of conditional expectation. In statistics, (sub) σ-algebras are needed for the formal mathematical definition of a sufficient statistic, particularly when the statistic is a function or a random process and the notion of conditional density is not applicable. If X = {a, b, c, d}, one possible σ-algebra on X is Σ = { ∅, {a, b}, {c, d}, {a, b, c, d} }, where ∅ is the empty set. In general, a finite algebra is always a σ-algebra. If {A1, A2, A3, …} is a countable partition of X then the collection of all unions of sets in the partition (including the empty set) is a σ-algebra. A more useful example is the set of subsets of the real line formed by starting with all open intervals and adding in all countable unions, countable intersections, and relative complements and continuing this process (by transfinite iteration through all countable ordinals) until the relevant closure properties are achieved (a construction known as the Borel hierarchy).

## WORD SOLVER

(tip: SPACE or ? for wildcards)
×

Find words
Find only
×
Dictionary
Game

## There are 11 letters in REFINEMENTS ( E1F4I1M3N1R1S1T1 )

To search all scrabble anagrams of REFINEMENTS, to go: REFINEMENTS?

Rearrange the letters in REFINEMENTS and see some winning combinations

Dictionary
Game

note: word points are shown in red

### 2 letters out of REFINEMENTS

Anagrammer is a game resource site that has been extremely popular with players of popular games like Scrabble, Lexulous, WordFeud, Letterpress, Ruzzle, Hangman and so forth. We maintain regularly updated dictionaries of almost every game out there. To be successful in these board games you must learn as many valid words as possible, but in order to take your game to the next level you also need to improve your anagramming skills, spelling, counting and probability analysis. Make sure to bookmark every unscrambler we provide on this site. Explore deeper into our site and you will find many educational tools, flash cards and so much more that will make you a much better player. This page covers all aspects of REFINEMENTS, do not miss the additional links under "More about: REFINEMENTS"