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Maude>redinFLOAT:atan(tan(pi/3.0)). resultFiniteFloat:1.0471975511965976
Maude>redatan(tan(pi/3.0),1.0). resultFiniteFloat:1.0471975511965976
Maude>redatan(tan(pi/3.0),-1.0). resultFiniteFloat:2.0943951023931957
Maude>redatan(-tan(pi/3.0),-1.0). resultFiniteFloat:-2.0943951023931957
Maude>redatan(-tan(pi/3.0),1.0). resultFiniteFloat:-1.0471975511965976

Numerical comparisons have the usual meaning on floating-point numbers.

***TESTS op_<_:FloatFloat->Bool[prec51special(...)]. op_<=_:FloatFloat->Bool[prec51special(...)]. op_>_:FloatFloat->Bool[prec51special(...)]. op_>=_:FloatFloat->Bool[prec51special(...)]. ***approximateequality op_=[_]_:FloatFiniteFloatFloat->Bool[prec51]. varsXY:Float. varZ:FiniteFloat. eqX=[Z]Y=abs(X-Y)<Z. endfm

The operator _=[_]_ tests for approximate equality, where the second argument bounds the allowed error. For example:

Maude>redinFLOAT:1.111111111=[1.0e-9]1.111111112. resultBool:true
Maude>red1.111111111=[1.0e-10]1.111111112. resultBool:false

The module STRING declares sorts and operators for manipulating strings of characters. Strings of length one form a subsort Char of String . Operations on strings are based on the SGI rope package [ 9 ] , which has been optimized for functional programming, where copying with modification is supported efficiently, whereas arbitrary in-place updates are not.

Strings are input and output using the usual convention of enclosing the string characters in a pair of matching quotes "..." . When a string is parsed, it is interpreted using a subset of ANSI C backslash escape conventions [ 70 , Section A2.5.2] .

To define the results of searching a string for an occurrence of another substring the sort FindResult is introduced. This sort consists of the natural numbers, returned as the index in the string where a found substring begins (string indexing begins with 0), and a special constant notFound , returned if no occurrence is found.

fmodSTRINGis protectingNAT. sortsStringCharFindResult. subsortChar<String. subsortNat<FindResult. op<Strings>:->Char[special(...)]. op<Strings>:->String[ditto]. opnotFound:->FindResult[ctor].

The operators ascii and char convert between characters and ASCII codes.

***conversionbetweenasciicodeandcharacter opascii:Char->Nat[special(...)]. opchar:Nat~>Char[special(...)].

For a natural number n less than 256 and a character c , we have ascii(char(n)) = n and char(ascii(c)) = c . For a natural number n greater than 255, char(n) is an error term of kind [String] . For example,

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Solely for the purpose of illustration, and not to replicate the work done by the researchers described in this release, the lyrics of Deep Purple's Smoke on the Water encoded into DNA. Each letter, space and punctuation mark are represented by a unique triplet of the four bases (A, T, G, C), the building blocks of DNA. For example, "smoke" becomes GACCGACGTCAGAGC. In general, to encode digital data into DNA, a quaternary code is used and allows a base to encode two bits (e.g. A = 00, C = 01, G = 10, T = 11). Courtesy of Twist Bioscience; image developed by Martin Krzywinski Multimedia Gallery URL

SAN FRANCISCO--(BUSINESS WIRE)--

Twist Bioscience, a company accelerating science and innovation through rapid, high-quality DNA synthesis, today announced that, working with Microsoft and University of Washington researchers, they have successfully stored archival-quality audio recordings of two important music performances from the archives of the world-renowned Montreux Jazz Festival.

This press release features multimedia. View the full release here: Tote Bag PURPLE THUNDER by VIDA VIDA vdWtHxN51

These selections are encoded and stored in nature’s preferred storage medium, DNA, for the first time. These tiny specks of DNA will preserve a part of UNESCO’s Conti Roundframe Acetate And Rose Goldtone Mirrored Sunglasses White Krewe nAQk1h
Archive, where valuable cultural heritage collections are recorded. This is the first time DNA has been used as a long-term archival-quality storage medium.

Quincy Jones, world-renowned Entertainment Executive, Music Composer and Arranger, Musician and Music Producer said, “With advancements in nanotechnology, I believe we can expect to see people living prolonged lives, and with that, we can also expect to see more developments in the enhancement of how we live. For me, life is all about learning where you came from in order to get where you want to go, but in order to do so, you need access to history! And with the unreliability of how archives are often stored, I sometimes worry that our future generations will be left without such access...So, it absolutely makes my soul smile to know that EPFL, Twist Bioscience and others are coming together to preserve the beauty and history of the Montreux Jazz Festival for our future generations, on DNA!...I've been a part of this festival for decades and it truly is a magnificent representation of what happens when different cultures unite for the sake of music. Absolute magic. And I'm proud to know that the memory of this special place will never be lost.”

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This paper presents an overview of the nuclear accident that occurred at the Mayak Production Association (PA) in the Russian Federation on 29 September 1957, often referred to as ‘Kyshtym Accident’, when 20 MCi (740 PBq) of radionuclides were released by a chemical explosion in a radioactive waste storage tank. 2 MCi (74 PBq) spread beyond the Mayak PA site to form the East Urals Radioactive Trace (EURT). The paper describes the accident and gives brief characteristics of the efficacy of the implemented protective measures that made it possible to considerably reduce doses to the exposed population. The paper also provides retrospective dosimetry estimates for the members of the EURT Cohort (EURTC) which comprises approximately 21 400 people. During the first two years after the accident a decrease in the group average leukocyte (mainly due to neutrophils and lymphocytes) and thrombocyte count was observed in the population. At later dates an increased excess relative risk of solid cancer incidence and mortality was found in the EURTC.

https://doi.org/10.1088/1361-6498/aa7f8d Cited by References
The following article is Open access

Eliseo Vano et al 2018 J. Radiol. Prot. 38 109

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During the International Conference on Radiation Protection in Medicine held in Bonn in 2012, several areas for improvement were identified, including specific actions related with justification, optimization, role of manufacturers, radiation protection education and training, strategic research, data collection on medical and occupational exposures, prevention of incidents and accidents, radiation safety culture, risk-benefit dialogue and implementation of the radiation safety standards. The outcomes of the Bonn Conference were summarized in the so-called ‘Bonn Call for Action’, identifying 10 priority actions to enhance RP in medicine. Trying to analyse the progress in the implementation of this ‘Call for Action’ in the Ibero-American region, several international organizations organized the ‘Ibero-American Conference on Radiation Protection in Medicine’ (Conferencia Iberoamericana sobre Protección Radiológica en Medicina, CIPRaM) held in Madrid, in October 2016. CIPRaM was structured in eight thematic sessions dealing with: diagnostic and dental radiology, image guided interventional radiology, nuclear medicine, radiation therapy, health authorities and radiation protection regulators, professional associations of technologists and nurses, professional associations of medical physicists and radiation protection experts, and universities and researchers in radiation protection in medicine. This paper summarizes the main results of that Conference based on the consensus achieved about main problems, solutions, and indicators to evaluate the implementation of the proposed solutions.

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References
The following article is Open access

William Penney et al 2017 J. Radiol. Prot. 37 780

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