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The sum of the reciprocals of the primes of the form 4n + 1 is divergent. By Fermat's theorem on sums of two squares , it follows that the sum of reciprocals of numbers of the form a 2 + b 2 , {\displaystyle a^{2}+b^{2},} where a and b are non-negative integers, not both equal to 0 , diverges, with or without repetition.
A continued fraction is an expression of the form = + + + + + where the a n (n > 0) are the partial numerators, the b n are the partial denominators, and the leading term b 0 is called the integer part of the continued fraction.
If x is rational, it will have two continued fraction representations that are finite, x 1 and x 2, and similarly a rational y will have two representations, y 1 and y 2. The coefficients beyond the last in any of these representations should be interpreted as +∞; and the best rational will be one of z(x 1, y 1), z(x 1, y 2), z(x 2, y 1), or ...
St. Clair surprised fans in February 2025 after she announced via X that she allegedly gave birth to Musk’s 13th child, their first together. “I welcomed a new baby into the world. Elon Musk ...
u+0c78 ౸ telugu fraction digit zero for odd powers of four; u+0ce6 ೦ kannada digit zero; u+0d66 ൦ malayalam digit zero; u+0de6 ෦ sinhala lith digit zero; u+0e50 ๐ thai digit zero; u+0ed0 ໐ lao digit zero; u+0f20 ༠ tibetan digit zero; u+0f33 ༳ tibetan digit half zero; u+1040 ၀ myanmar digit zero; u+1090 ႐ myanmar shan digit ...
2025 Indonesian student protests, nicknamed the #IndonesiaGelap demonstrations (Indonesian: demo #IndonesiaGelap, the hashtag itself literally means 'Dark Indonesia'), are a series of ongoing student-led anti-government demonstrations throughout several cities in Indonesia, launched on 17 February 2025 by the All-Indonesian Students' Union (BEM SI), [13] together with individual students' unions.
Matt Fritchman [2] [3] (born December 1, 1975), [2] better known by the pen name Matt Fraction, is an American comic book writer, known for his work as the writer of The Invincible Iron Man, FF, The Immortal Iron Fist, Uncanny X-Men, and Hawkeye for Marvel Comics; Casanova and Sex Criminals for Image Comics; and Superman's Pal Jimmy Olsen for DC Comics.
In 1941, the Italian fraction was reorganised in France and along with the new French Nucleus of the Communist Left came into conflict with the ideas which the fraction had propagated from 1936, namely of the social disappearance of the proletariat and localised wars and so on. These ideas continued to be defended by Vercesi in Brussels.