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Continued Fractions: Haskell, Equational Reasoning, Property Testing, and Rewrite Rules in Action


Introduction to continued fractions
Let’s start with a challenge. Assume I know how to write down an integer. Now, how can I write down a real number? In school, we’ve all learned a few answers to this question. The big two are
fractions and
decimals.
Fractions have simple forms for rational numbers. Just write two integers, for the numerator and denominator. That’s great! But alas, they are no good at all for irrational numbers like pi, or the square root of 2. I could, of course, write a fraction that’s close to the irrational number, such as 22/7 as an approximation of pi. But this is only good up to a certain limit precision. I could even write an infinite sequence of fractions which converge to the rational number; yet, in the end, I will have wasted a lot of effort. Indeed, ....

David Lester , Joachim Breitner , Mark Dominu , Canonical Inf , Canonicalcont Inf , Nonnegative Rational , Convergents Inf , Negative Rational , Semigroup Mobius , Monoid Mobius , Arbitrary Mobius , Todecimal Inf , Rosetta Code , Nonnegative Inf , Integer Valarg , Type Integerrule , Template Haskell , டேவிட் லெஸ்டர் , ரொசெட்டா குறியீடு , வார்ப்புரு ஹ்யாஸ்கல் ,

Exclusive: Mobius Life launches ESG reporting service


Exclusive: Mobius Life launches ESG reporting service
Swales: Helping trustees to contextualise the approaches of asset managers
Mobius Life has launched a service to provide pension schemes with a report which collates asset managers’ ESG themes to help trustees complete their annual implementation statements.
From October 2020 all trust-based pension schemes with more than 100 members must publish an implementation statement in their annual report which sets out how they acted on the principles set out in their statement of investment principles (SIP).
The SIP documents schemes investment strategies, including investment objectives and policies. It must include schemes policies in relation to environmental, social and governance (ESG) considerations, such as climate change. ....

Adrian Swales , From October , Mobius Life , இருந்து அக்டோபர் , மொபியஸ் வாழ்க்கை ,