Tamazight-NLP/NLLB-Seed_Tamasheq-Latin-Script huggingface dataset:
English: In fact, in many cases algebraic conceptions were reformulated into geometric terms.
Tamasheq: As tidit, dǎɣ dajan ajətnen, timusnawen ən maɗinan ašəzatnat as iritan.
English: The realization that some basic conception within the existing theory was at odds with reality necessitated a complete and thorough investigation of the axioms and assumptions that underlie that theory.
Tamasheq: Adkul nanyat adakal iyan nider dǎɣ amass ən tamusne titəlat war tərda ad tidit tašihəšal umax imdan ad zəjren fal tənaten ad issəkna azalnen tamusne.
English: However, historian Carl Benjamin Boyer writes that "such claims are not well substantiated and unlikely to be true".
Tamasheq: "Mašan awtəfas Carl Benjamin Boyer iktab as”” tənaten tin war iknenat atwilal izar lanat tabaɣort əndarat ye oɣəl ən tidit””.
English: Mathematicians like Brahmagupta (in 628 AD) and Bhāskara I (in 629 AD) made contributions in this area as did other mathematicians who followed.
Tamasheq: Iməssidan sund Brahmaguɗta (ɣor 628 AD) ad Bhāskara I (ɣor 629 AD) iwayanid tilalen dǎɣ adag wen, kul sund iməssidan iyad wi alkamnen.
English: The year 1872 saw the publication of the theories of Karl Weierstrass (by his pupil Ernst Kossak), Eduard Heine (Crelle's Journal, 74), Georg Cantor (Annalen, 5), and Richard Dedekind.
Tamasheq: Awatay wan 1872 ihanəy tazəjort ən timusnawen tin Karl Weierstrass, (as eməssaɣar iness Ernst Kossak), Eduard Heine (jornal wan Ərelle,74),Georg Cantor (Annalen,5)ad Richard Dedekind.
English: Weierstrass, Cantor, and Heine base their theories on infinite series, while Dedekind founds his on the idea of a cut (Schnitt) in the system of all rational numbers, separating them into two groups having certain characteristic properties.
Tamasheq: Weierstrass, Cantor ad Heine assiɣaymən timusnawen nassən fal anəlkəm waren imədi,aguden Dedekind assiɣayma taness fal anyat ən aɣatas (Schniƭ)dǎɣ tartit ən maɗinan kul atwəjanen,tan azunen as assin gruɗtan lanen tikraš olahnen.
English: Dirichlet also added to the general theory, as have numerous contributors to the applications of the subject.
Tamasheq: Dirichlet deɣ assewad ye tamusne maqarat, kul sund imilalən ajitnen ye ijitan ən awadəm.
English: This asserts that every integer has a unique factorization into primes.
Tamasheq: Awen ijraw alavi as mapin imdan kul ila anətfəs iyan as imapinan azarnen.
English: To show this, suppose we divide integers n by m (where m is nonzero).
Tamasheq: Awen aleɣat as maɗin kul imdan ila assənətfəs iyan dǎɣ maɗinan azarnen.
English: If 0 never occurs, then the algorithm can run at most m − 1 steps without using any remainder more than once.
Tamasheq: Ye assəkən iness, nətkal as nətuzan inəsumda n as m (dihad m war eqel wala).
English: In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
Tamasheq: Dǎɣ maɗinan, imaɗinan aknanen eqalan wi atwəjanen ye assedən (sund dǎɣ”” ilanət saɗissət ɗieəeten ən amanu fal tabalt””)ad amzizər (sund dǎɣ ““awen tas karadat təknat təmɣare taɣrəmt ən akal””)”.
English: These chains of extensions make the natural numbers canonically embedded (identified) in the other number systems.
Tamasheq: Imzizəran ajətnen təjan as imaɗinan iknanen aqalan tərəɣse as ugiš (atiwəzay)dǎɣ tirtay tiyaɗnen ən maɗinan.
English: The first major advance in abstraction was the use of numerals to represent numbers.
Tamasheq: Təzart maqarat ən ikuy dǎɣ Iban adatu eqal iji ən aɗinan ye assəkən ən maɗinan.