How Long to Read Idempotent Analysis and Its Applications

How Long Does it Take to Read Idempotent Analysis and Its Applications?

It takes the average reader 5 hours and 11 minutes to read Idempotent Analysis and Its Applications by Vassili N. Kolokoltsov

Assuming a reading speed of 250 words per minute. Learn more

Description

The first chapter deals with idempotent analysis per se . To make the pres- tation self-contained, in the first two sections we define idempotent semirings, give a concise exposition of idempotent linear algebra, and survey some of its applications. Idempotent linear algebra studies the properties of the semirn- ules An , n E N , over a semiring A with idempotent addition; in other words, it studies systems of equations that are linear in an idempotent semiring. Pr- ably the first interesting and nontrivial idempotent semiring , namely, that of all languages over a finite alphabet, as well as linear equations in this sern- ing, was examined by S. Kleene [107] in 1956 . This noncommutative semiring was used in applications to compiling and parsing (see also [1]) . Presently, the literature on idempotent algebra and its applications to theoretical computer science (linguistic problems, finite automata, discrete event systems, and Petri nets), biomathematics, logic , mathematical physics , mathematical economics, and optimizat ion, is immense; e. g. , see [9, 10, 11, 12, 13, 15, 16 , 17, 22, 31 , 32, 35,36,37,38,39 ,40,41,52,53 ,54,55,61,62 ,63,64,68, 71, 72, 73,74,77,78, 79,80,81,82,83,84,85,86,88,114,125 ,128,135,136, 138,139,141,159,160, 167,170,173,174,175,176,177,178,179,180,185,186 , 187, 188, 189]. In §1. 2 we present the most important facts of the idempotent algebra formalism . The semimodules An are idempotent analogs of the finite-dimensional v- n, tor spaces lR and hence endomorphisms of these semi modules can naturally be called (idempotent) linear operators on An .

How long is Idempotent Analysis and Its Applications?

Idempotent Analysis and Its Applications by Vassili N. Kolokoltsov is 305 pages long, and a total of 77,775 words.

This makes it 103% the length of the average book. It also has 95% more words than the average book.

How Long Does it Take to Read Idempotent Analysis and Its Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 5 minutes to read Idempotent Analysis and Its Applications aloud.

What Reading Level is Idempotent Analysis and Its Applications?

Idempotent Analysis and Its Applications is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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