Blogs about: Continued Fraction

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Fibonacci numbers, 42 comments

Peter Cameron wrote 10 months ago: In the preceding post in this series, we saw a connection between the Fibonacci numbers and the gold … more →

Tags: Exposition

Rounding errors5 comments

Peter Cameron wrote 1 year ago: Something has happened to calculators while I wasn’t using them. I am hoping somebody reading … more →

Tags: Exposition, Pythagoras, euclid's algorithm, David Fowler, calculator

596 - Continued fractions

andrescaicedo wrote 1 year ago: This term, Summer Hansen is taking a reading course with me on Pell’s equation. Our basic refe … more →

Tags: 496/596: Independent study, Francesca Aicardi, pell's equation, Vladimir I. Arnold

596 - Continued fractions

andrescaicedo wrote 1 year ago: This term, Summer Hansen is taking a reading course with me on Pell’s equation. Our basic refe … more →

Tags: 496/596: Independent study, Francesca Aicardi, pell's equation, Vladimir I. Arnold

Mentally extracting square roots

supermaths wrote 2 years ago: There are many ways to accurately extract square roots mentally. My favourite is using the continued … more →

Tags: Square Roots, Mental mathematics, Mental, Arithmetic, square roots, roots, Root, square, square root

FRACTIONS GENERATING SQRT(2)

Giuseppe Merlino wrote 3 years ago: FRATIONS GENERATING SQRT(2). START WITH  1/1 , THEN FROM EACH FRACTION  A/B , THE FOLLOWING WILL BE  … more →

Tags: SQRT(2), Fractions, square, square root

?(x)1 comment

sumidiot wrote 3 years ago: Sorry about the lack of a MaBloWriMo post yesterday. I got a little behind, left resources I wanted … more →

Tags: Play, Farey, MaBloWriMo, minkowski, stern-brocot

The Only LFTs You'll Ever Need

sumidiot wrote 3 years ago: Let us consider linear fractional transformations where the coefficients are all integers and . Sinc … more →

Tags: Play, GCD, linear fractional transformation, MaBloWriMo, modular group

Hardy and Wright, Chapter 11 (part 2)

sumidiot wrote 3 years ago: Today we finished off Chapter 11. We worked through some of the proofs, and discussing the meaning o … more →

Tags: Play, hardy and wright, Number Theory, Transcendental, umbral calculus, Approximation

Hardy and Wright, Chapter 11 (part 1)15 comments

sumidiot wrote 3 years ago: Now that we’ve got continued fractions under our belt, from chapter 10, we can go on and start … more →

Tags: Play, hardy and wright, Number Theory, ROTH, Liouville, irrationality measure, Transcendental

Hardy and Wright, Chapter 101 comment

sumidiot wrote 3 years ago: We decided to split the reading of chapter 10 into two weeks (chapter 9 here, in case you missed it) … more →

Tags: hardy and wright, Number Theory, farey sequence, ford circle, modular group, LaGrange, rational approximation

91115/11116 !3 comments

Ξ wrote 4 years ago: One of my favorite encryption techniques isn’t really an encryption at all: it fails in the ba … more →

Tags: Miscellaneous, encryption


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