Upper limit

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Last seen on: –LA Times Crossword 21 Jul 21, Wednesday
USA Today Crossword – May 17 2021
Eugene Sheffer – King Feature Syndicate Crossword – Apr 20 2021
NY Times Crossword 15 Nov 20, Sunday
Thomas Joseph – King Feature Syndicate Crossword – Oct 7 2020
NY Times Crossword 16 Aug 20, Sunday
Thomas Joseph – King Feature Syndicate Crossword – Mar 21 2020
Thomas Joseph – King Feature Syndicate Crossword – Mar 18 2020
Thomas Joseph – King Feature Syndicate Crossword – Mar 5 2020
LA Times Crossword 15 Oct 19, Tuesday

Random information on the term “Upper limit”:

In mathematics, the concepts of essential supremum and essential infimum are related to the notions of supremum and infimum, but adapted to measure theory and functional analysis, where one often deals with statements that are not valid for all elements in a set, but rather almost everywhere, i.e., except on a set of measure zero.

Let f : X → R be a real valued function defined on a set X. A real number a is called an upper bound for f if f(x) ≤ a for all x in X, i.e., if the set

is empty. Let

be the set of upper bounds of f. Then the supremum of f is defined by

if the set of upper bounds U f {\displaystyle U_{f}} is nonempty, and sup f = + ∞ {\displaystyle \sup f=+\infty } otherwise.

Alternatively, if for some a ∈ R {\displaystyle a\in \mathbb {R} } we have f ( x ) ≤ a {\displaystyle f(x)\leq a} for all x ∈ X {\displaystyle x\in X} then sup f ≤ a {\displaystyle \sup f\leq a} .

Upper limit on Wikipedia

Random information on the term “CAP”:

The International Society of Automation (ISA), formerly known as The Instrumentation, Systems, and Automation Society, is a non-profit technical society for engineers, technicians, businesspeople, educators and students, who work, study or are interested in automation and pursuits related to it, such as instrumentation. It was originally known as the Instrument Society of America. The society is more commonly known by its acronym, ISA, and the society’s scope now includes many technical and engineering disciplines.ISA is one of the foremost professional organizations in the world for setting standards and educating industry professionals in automation. Instrumentation and automation are some of the key technologies involved in nearly all industrialized manufacturing. Modern industrial manufacturing is a complex interaction of numerous systems. Instrumentation provides regulation for these complex systems using many different measurement and control devices. Automation provides the programmable devices that permit greater flexibility in the operation of these complex manufacturing systems.

CAP on Wikipedia