Tamazight-NLP/NLLB-Seed_Standard-Moroccan-Tamazight huggingface dataset:
English: Wessel's memoir appeared in the Proceedings of the Copenhagen Academy but went largely unnoticed.
Tamazight: ⴱⴰⵢⵏⴷ ⵜⵙⵎⴽⵜⵉⵜⵉⵏ ⵏ ⵡⵉⵙⵍ ⴳ ⵜⵉⵡⵉⵏ ⵜⵉⴽⴰⴷⵉⵎⵉⵜⵉⵏ ⵣⵓⵏⴷ “ⴽⵓⴱⵏⵀⴰⴳⵏ”, ⵎⴰⴽⴰ ⵜⵣⵔⵉ ⵓⵔ ⵜⵜ ⵢⴰⵏⵏⴰⵢ ⴰⵡⴷ ⵢⴰⵏ ⴽⵉⴳⴰⵏ.
English: Later classical writers on the general theory include Richard Dedekind, Otto Hölder, Felix Klein, Henri Poincaré, Hermann Schwarz, Karl Weierstrass and many others.
Tamazight: ⵙⴳ ⵉⵎⴰⵔⵔⴰⵜⵏ ⵉⴽⵍⴰⵙⵉⴽⵏ ⴳ ⵜⵉⵣⵉ ⵢⴰⴹⵏ ⵖⴼ ⵜⵎⴰⴳⵓⵏⵜ ⵜⴰⵎⴰⵜⵜⵓⵜ ⵏ ⵔⵉⵜⵛⴰⵔⴷ ⴷⵉⴷⵉⴽⵉⵏⴷ, ⵏⵖⴷ ⵓⵜⵓ ⵀⵉⵍⴷⵔ,ⴷ ⴼⵉⵍⵉⴽⵙ ⴽⵍⵉⵏ, ⴷ ⵀⵉⵏⵔⵉ ⴱⵡⴰⵏⴽⵉⵔ, ⴷ ⵀⵉⵔⵎⴰⵏ ⵛⵡⴰⵔⵜⵣ, ⴷ ⴽⴰⵔⵍ ⵡⵉⵔⵙⵜⵔⴰⵙ ⴷ ⵡⵉⵢⵢⴰⴹ.
English: The use of imaginary numbers was not widely accepted until the work of Leonhard Euler (1707–1783) and Carl Friedrich Gauss (1777–1855).
Tamazight: ⵓⵔ ⵉⵜⵜⵓⵙⵢⴰⵀⴰ ⵓⵙⵙⵎⵔⵙ ⵏ ⵉⵎⴹⴰⵏ ⵉⵡⵏⴳⵉⵎⵏ ⴳ ⵓⵖⵓⴼⴰⵍ ⴰⵎⵉⵔⵉⵡ, ⴰⵔ ⵜⴰⵡⵓⵔⵉ ⵏ ⵍⵢⵓⵏⴰⵔⴷ ⵓⵍⵔ (1707-1783), ⴷ ⴽⴰⵕⵍ ⴼⵔⵉⴷⵔⵉⵜⵛ ⴳⴰⵡⵙ (1777-1855).
English: The integers form the smallest group and the smallest ring containing the natural numbers.
Tamazight: ⴷⴰ ⵜⴳⴳⴰⵏ ⵉⵎⴹⴰⵏ ⵉⵎⴷⴷⴰⴷⵏ; ⵜⴰⵔⴱⵉⵄⵜ ⵜⴰⵎⵥⵥⴰⵏⵜ, ⴷ ⵜⵅⵔⵙⵜ ⵜⴰⵎⵥⵥⴰⵏⵜ ⴳ ⵍⵍⴰⵏ ⵉⵎⴹⴰⵏ ⵉⵖⴰⵔⴰⵏⴻⵏ.
English: It is the prototype of all objects of such algebraic structure.
Tamazight: ⵉⴳⴰ ⴰⵎⴷⵢⴰ ⴰⵎⵏⵣⵓ ⵏ ⵎⴰⵕⵕⴰ ⵉⵎⵖⵏⴰⵡⵏ, ⵣⵓⵏⴷ ⵜⵓⵙⴽⵉⵡⵜ ⵜⴰⵊⵉⴱⵔⵉⵜ.
English: Fixed length integer approximation data types (or subsets) are denoted int or Integer in several programming languages (such as Algol68, C, Java, Delphi, etc.).
Tamazight: ⴷⴰ ⵜⵜⵓⴱⴷⴰⵔⵏ ⵡⴰⵏⴰⵡⵏ ⵏ ⵉⵏⵎⵎⴰⵍⵏ ⵏ ⵓⵙⵏⵎⵉⵍⵉ ⵏ ⵉⵎⵉⴹ ⴰⵎⴷⴷⴰⴷ ⵉⵍⴰⵏ ⵜⴰⵖⵣⵉ ⵉⵡⵔⵏ (ⵏⵖⴷ ⵜⵉⵔⴱⵉⵄⵉⵏ ⵜⴰⵢⵢⴰⵡⵉⵏ), ⵉⴳⴰⵏ ⵙ ⵜⵎⴰⵜⴰⵔⵜ “ int “ ⵏⵖⴷ “Integer” ⴳ ⴽⵉⴳⴰⵏ ⵏ ⵜⵓⵜⵍⴰⵢⵉⵏ ⵏ ⵓⵙⵖⵉⵡⵙ ( ⵣⵓⵏⴷ Algol68, ⴷ C, ⴷ Java,ⴷ Delphi, ⴷ ⵜⵉⵢⵢⴰⴹ).
English: These are provable properties of rational numbers and positional number systems, and are not used as definitions in mathematics.
Tamazight: ⵉⵎⵥⵍⴰⵢ ⴰⴷ ⵉⵖⵢ ⴰⴷ ⵜⵏⵜ ⵏⵙⵡⵔ ⵉ ⵓⵟⵟⵓⵏ ⵓⵎⴳⵉⵏⴻⵏ, ⴷ ⵉⵏⴳⵔⴰⵡⵏ ⵉⵎⵉⴹⴰⵏ ⵉⵎⵙⵓⵔⵙⵏ, ⴷ ⵓⵔⴷⴰ ⵜⵜⵓⵙⵎⵔⴰⵙ ⴰⵎ ⵉⵙⵉⵙⵙⵏ.
English: Since the triangle is isosceles, a = b).
Tamazight: ⵎⴰⵢⴷ ⵉⴳⴰ ⵡⴰⵎⴽⵕⴰⴹ ⴰⵎⵙⴰⵙⴽⵍ ⵏ ⵉⴳⴰⵍⴰⵍⵏ, a = b).
English: Since c is even, dividing c by 2 yields an integer.
Tamazight: ⵎⴰⵢⴷ ⵉⴳⴰ c ⴰⵎⵙⵉⵏ, ⴷⴰ ⴰⵖⴷ ⵜⴰⴽⴽⴰ ⵜⵓⴱⴹⵓⵜ ⵏ c ⵅⴼ 2; ⵉⵎⵉⴹ ⴰⵎⴷⴷⴰⴷ.
English: Substituting 4y2 for c2 in the first equation (c2 = 2b2) gives us 4y2= 2b2.
Tamazight: ⴰⵙⵏⴼⵍ ⵏ 4y2 ⵖⵔ c2, ⴳ ⵜⴳⴰⴷⴰⵣⵜ ⵜⴰⵎⵣⵡⴰⵔⵓⵜ (c2 = 2b2), ⴰⵖ ⵢⴰⴽⴽⴰⵏ 4y2= 2b2.
English: Since b2 is even, b must be even.
Tamazight: ⵎⴰⵢⴷ ⵉⴳⴰ b2 ⴰⵎⵙⵉⵏ, ⵉⵇⵏⴻⵏ ⴰⴷ ⵉⴳ b ⴰⵎⵙⵉⵏ.
English: However this contradicts the assumption that they have no common factors.
Tamazight: ⵎⴰⴽⴰ ⴰⵢⴰ ⵉⵜⵎⴳⵍⴰ ⴷ ⵓⵎⵔⴷⵓ ⵉⵜⵜⵉⵏⵉⵏ ⵓⵔ ⵍⵍⵉⵏ ⵉⵎⴳⴳⵉⵜⵏ ⵉⵎⵛⵛⵓⵔⵏ ⴳⵔⴰⵙⵏ.
English: Hippasus, however, was not lauded for his efforts: according to one legend, he made his discovery while out at sea, and was subsequently thrown overboard by his fellow Pythagoreans “…for having produced an element in the universe which denied the…doctrine that all phenomena in the universe can be reduced to whole numbers and their ratios.”
Tamazight: ⵡⴰⵅⵅⴰ ⵀⴰⴽⴽⴰⴽ , ⵉⵍⵍⴰ ⵢⵉⵍⵖ ⵏ ⵀⵉⴱⴰⵙⵓⵙ ⵖⴼ ⵜⵣⵎⵎⴰⵔ ⵏⵏⵙ, ⴰⵢⴷ ⵉⵏⵏⴰ ⵢⴰⵏ ⵡⵓⵎⵉⵢ, ⵢⵓⴽⵣ, ⵉⴽⵉⵣ ⵏⵏⵙ ⴰⵢⵏⵏⴰ ⵉⵍⵍⴰ ⴳ ⵢⵉⵍ, ⴳⵔⵏⵜ ⵉⵎⴷⴷⵓⴽⴰⵍ ⵏⵏⵙ ⵉⴼⵉⵜⴰⵖⵓⵔⵙⵏ ⴳ ⵜⵉⵣⵉ ⵢⴰⴹⵏ,..., ⴰⵛⴽⵓ ⵙⵏⴼⵍⵏ ⵢⴰ ⵓⴼⵕⴹⵉⵚ ⴳ ⵉⵖⵣⵡⵔ ⵓⵔ ⵉⵔⵉⵏ... ⵜⴰⵖⴰⵍⵜ ⵉⵜⵜⵉⵏⵉⵏ ⵉⵖⵢ ⵓⵣⴳⵣⵍ ⵏ ⵜⵓⵎⴰⵏⵉⵏ ⴳ ⵉⵖⵣⵡⵔ ⵖⵔ ⵉⵎⴹⴰⵏ ⵉⵎⴷⴷⴰⴷⵏ ⴷ ⵓⵙⵖⴰⵍ ⵏⵏⵙⵏ.
English: For example, consider a line segment: this segment can be split in half, that half split in half, the half of the half in half, and so on.
Tamazight: ⵙ ⵓⵎⴷⵢⴰ, ⴳ ⵜⵡⵏⴳⵉⵎⵜ ⵏⵏⴽ ⵜⴰⴳⵣⵣⵓⵎⵜ ⵉⵏⵎⵏ: ⵉⵖ ⴰⴷ ⵜⵜⵓⴱⴹⵓ ⵖⵔ ⵙⵏⴰⵜ, ⴷ ⵓⵣⴳⵏ ⵏ ⵓⵣⴳⵏ ⵖⵔ ⵙⵉⵏ, ⴷ ⵓⵣⴳⵏ ⵏ ⵓⵣⴳⵏ ⵖⴼ ⴰⵣⵏⴳ, ⵉⵎⴽⵉ.
English: This is just what Zeno sought to prove.
Tamazight: ⴰⵢⴰ ⴰⵢⴷ ⵉⵜⵏⴰⵖ ⵣⵉⵏⵓⵏ ⴰⴷ ⵜⵜ ⵉⵙⵡⵔ.
English: In the minds of the Greeks, disproving the validity of one view did not necessarily prove the validity of another, and therefore further investigation had to occur.
Tamazight: ⴳ ⵜⵡⵏⴳⵉⵎⵉⵏ ⵏ ⵍⵉⵖⵔⵉⵇ, ⵓⴽⵓⵙ ⵏ ⵓⵎⴷⴷⴰⴷ ⵏ ⴽⴰⵏ ⵜⴰⵏⵏⴰⵢⵜ ⵓⵔ ⴷⴰ ⵉⵙⵡⴰⵔ ⴰⵎⴷⴷⴰⴷ ⵏ ⵜⴰⵏⵏⴰⵢⵜ ⵏⵏⵉⴹⵏ, ⵅⴼ ⵓⵢⴰ ⴰⵙⵏ ⵉⵇⵇⵏ ⵓⵣⵔⵔⵓ ⵓⴳⴳⴰⵔ.
English: A magnitude “...was not a number but stood for entities such as line segments, angles, areas, volumes, and time which could vary, as we would say, continuously.
Tamazight: ⴰⴽⵙⴰⵢ”...ⵓⵔ ⵉⴳⵉ ⵉⵎⵉⴹ, ⵎⴰⴽⴰ ⵉⵙⵎⴷⵢⴰ ⵙ ⵉⵏⵎⴰⵍⵍⴰⵜⵏ ⵣⵓⵏⴷ: ⵉⵎⵣⵔⴰⵢⵏ ⵏ ⵓⵣⵔⵉⵔⵉⴳ, ⴷ ⵜⵖⵎⵔⵉⵏ, ⴷ ⵜⵉⵊⵉⵎⵎⴰ, ⴷ ⵉⴽⵙⴰⵢⵏ, ⴷ ⵜⵉⵣⵉ ⵉⵖⵉⵏ ⴰⴷ ⵜⵎⵣⵉⵔⵉⵢ, ⵉⵎⴽ ⵏⵜⵜⵉⵏⵉ ⵙ ⵜⴰⵍⵖⴰ ⵉⵣⴷⵉⵏ.
English: Because no quantitative values were assigned to magnitudes, Eudoxus was then able to account for both commensurable and incommensurable ratios by defining a ratio in terms of its magnitude, and proportion as an equality between two ratios.
Tamazight: ⴰⵛⴽⵓ ⵓⵔ ⵉⵜⵢⴰⴽⵣ ⵡⴰⵜⵉⴳ ⵏ ⵡⴰⵏⵛ ⵉⵍⵍⴰⵏ ⴳ ⵓⴽⵙⴰⵢ, ⵉⵖⵢ ⵉⴷⵓⴽⵙⵓⵙ ⴰⴷ ⵉⵙⵙⵉⵟⵏ ⴰⵙⵖⴰⵍⵏ ⵉⴳⴰⵏ ⵡⵉⵏ ⵓⵙⵇⵇⵓⵍ, ⴷ ⵜⵉⵏⵏⴰ ⵓⵔ ⵉⴳⵉⵏ ⵜⵉⵏ ⵓⵙⵇⵇⵓⵍ ⵙⴳ ⵓⵙⵜⴰⵢ ⵏ ⵓⵙⵖⵍ ⵙⴳ ⵓⴽⵙⴰⵢ, ⴷ ⵓⵙⵖⵍ ⵣⵓⵏⴷ ⴰⵙⵙⵉⴽⵙⵍ ⵏ ⵙⵉⵏ ⵉⵙⵖⴰⵍ.
English: This incommensurability is dealt with in Euclid's Elements, Book X, Proposition 9.
Tamazight: ⴷⴰ ⵉⵜⵜⵓⴳⴰ ⵉ ⵡⵉⵏⵏⴰ ⵓⵔ ⵉⵥⴹⴰⵕⵏ ⵉ ⵓⵙⵇⵇⵓⵍ ⴳ ⵉⴼⵕⴹⵉⵙⵏ ⵏ ⵉⵇⵍⵉⴷⵙ, ⴰⴷⵍⵉⵙ ⵎⵔⴰⵡ, ⴰⵙⵓⵎⵔ 9.
English: In fact, in many cases algebraic conceptions were reformulated into geometric terms.
Tamazight: ⴳ ⵜⵉⵏⴰⵡⵜ; ⴳ ⴽⵉⴳⴰⵏ ⵏ ⵡⴰⴷⴷⴰⴷⵏ ⵉⵜⵜⵓⵢⴰⵍⵍⵙ ⵜⵉⵀⴽⵛⵜ ⵉ ⵉⵔⵎⵎⵓⵙⵏ ⵏ ⵍⵊⵉⴱⵔ ⵖⵔ ⵉⵔⵎⴰⵏ ⵉⵏⵣⴳⴰⵏⴻⵏ.
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.
Tamazight: ⵉⵇⵏⴻⵏ ⵡⵓⵙⵓⵏ ⵏ ⵉⵜⵙⵏ ⵉⵔⵎⵎⵓⵙⵏ ⵉⴷⵙⵍⴰⵏ ⴰⴳⵏⵙⵓ ⵏ ⵜⵎⴰⴳⵓⵏⵜ ⵏ ⴷⵖⵉ, ⵉⵎⵣⴰⵔⴰⵢ ⵏ ⵜⵉⵍⵉⵜ ⵏ ⵜⵉⴳⴳⵉ ⴰⵣⵔⵔⵓ ⴰⴽⴽⵯ ⵉⴳⵏ ⴰⵖⵣⵓⵔⴰⵏ ⵉ ⵜⵉⴳⴳⵉⵡⵉⵏ ⴷ ⵉⵙⵡⵉⵏⴳⵎⵏ ⵉⵍⵍⴰⵏ ⴹⴰⵕⵜ ⵜⵎⴰⴳⵓⵏⵜ ⴰⴷ.
English: However, historian Carl Benjamin Boyer writes that "such claims are not well substantiated and unlikely to be true".
Tamazight: ⵡⴰⵅⵅⴰ ⵀⴰⴽⴽⴰⴽ, ⵢⴰⵔⴰ ⵓⵏⵎⵣⵔⵓⵢ ⴽⴰⵕⵍ ⴱⵏ ⵊⴰⵎⵉⵏ ⴱⵡⵉⵔ ⴰⵏ; “ⵣⵓⵏⴷ ⵜⴰⴼⴰⴽⵓⵍⵜ ⴰⴷ ⵓⵔ ⵉⵍⵉⵏ ⵉⵙⵡⵔⵏ ⵉⵖⵓⴷⴰⵏ, ⵓⵔ ⵜⵏⵏⵉ ⴰⴷ ⵜⴳ ⵜⴰⵎⴷⴷⴰⴷⵜ”.
English: Mathematicians like Brahmagupta (in 628 AD) and Bhāskara I (in 629 AD) made contributions in this area as did other mathematicians who followed.
Tamazight: ⴽⴰⵏ ⵉⵎⵓⵙⵏⴰⵡⵏ ⵏ ⵜⵓⵙⵏⴰⴽⵜ ⵣⵓⵏⴷ ⴱⵔⴰⵀⴰⵎⴰⴳⵓⵜⴰ (ⴰⵙⴳⴳⵯⴰⵙ ⵏ 628 ⴹⴰⵕⵜ ⵜⵍⴰⵍⵉⵜ ⵏ ⵍⵎⴰⵙⵉⵃ), ⴷ ⴱⴰⵙⴽⴰⵔⴰ (ⴳ 629 ⴹⴰⵕⵜ ⵜⵍⴰⵍⵉⵜ ⵏ ⵍⵎⴰⵙⵉⵃ), ⵉⵎⵢⵉⵡⴰⵙⵏ ⴳ ⵢⵉⴳⵔ ⴰⴷ, ⵎⴽ ⵙⴽⵔⵏ ⵉⵎⵓⵙⵏⴰⵡⵏ ⵏ ⵜⵓⵙⵏⴰⴽⵜ ⵢⴰⴹⵏ ⵉⴹⴼⴰⵕⵏ ⵎⴰⵢⴰⵏ.
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.
Tamazight: ⴳ ⵓⵙⴳⴳⵯⴰⵙ 1872 ⵜⵢⴰⴼⵙⴰⵔⵏⵜ ⵜⵎⴰⴳⵓⵏⵉⵏ ⵏ ⴽⴰⵕⵍ ⵡⵉⵢⵔⵙⵜⵔⴰⵙ ( ⵙⴳ ⵖⵓⵔ ⵓⵏⵍⵎⴰⴷ ⵏⵏⵙ ⵉⵔⵏⵙⵜ ⴽⵓⵙⴰⴽ) ⴷ ⵉⴷⵡⴰⵕⴷ ⵀⴰⵢⵏ ( ⵜⴰⵙⵖⵏⵜ ⵏ ⴽⵕⵉⵍ, 74), ⴷ ⵊⵓⵕⵊ ⴽⴰⵏⵜⵓⵔ (ⴰⵏⴰⵍⵉⵏ, 5), ⴷ ⵔⵉⵜⵛⴰⵕⴷ ⴷⵉⴷⵉⴽⵉⵏⴷ.
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.
Tamazight: ⵉⵙⴽⴰ ⵡⵉⵢⵔⵙⵜⵔⴰⵙ ⴷ ⴽⴰⵏⵜⵓⵔ ⴷ ⵀⵉⵏ; ⵜⵉⵎⴰⴳⵓⵏⵉⵏ ⵏⵏⵙⵏ ⵖⴼ ⵜⴳⴼⴼⵓⵔⵜ ⵜⴰⵔⵜⵎⵉ, ⵉⵙⴱⴷⴷ ⴷⵉⴷⴽⵉⵏ ⵜⴰⵎⴰⴳⵓⵏⵜ ⵏⵏⵙ ⵖⴼ ⵜⵡⵏⴳⵉⵎⵜ ⵏ ⵡⵓⴱⵓⵢ (ⵙⵉⵛⵏⵉⵜ), ⴳ ⵓⵏⴳⵔⴰⵡ ⵏ ⵎⴰⵕⵕⴰ ⵓⵟⵟⵓⵏ ⵓⵎⴳⵉⵏⴻⵏ, ⴰⵔⵜⵏ ⵢⴰⵟⵟⵓ ⵖⴼ ⵙⵏⴰⵜ ⵜⵔⵓⴱⴱⴰ ⵉⵍⴰⵏ ⵉⵜⵙⵏ ⵉⵎⵥⵍⴰⵢⵏ ⵉⵙⵜⵉⵏ.
English: Dirichlet also added to the general theory, as have numerous contributors to the applications of the subject.
Tamazight: ⵉⵔⵏⴰ ⴰⵡⴷ ⴷⵉⵍⵉⵛⵍⵉⵜ ⵉ ⵜⵎⴰⴳⵓⵏⵜ ⵜⴰⵎⴰⵜⵜⵓⵜ, ⵉⵎⴽ ⴳⴰⵏ ⴽⵉⴳⴰⵏ ⵏ ⵡⵉⵏⵏⴰ ⵢⵓⵡⵙⵏ ⵏ ⵜⵙⵏⵙⵉⵜⵉⵏ ⵏ ⵓⵙⵏⵜⵍ.
English: This asserts that every integer has a unique factorization into primes.
Tamazight: ⴰⵢⴰ ⵉⵙⵍⴽⴰⵏ ⵏ ⵡⵉⵙ ⴷ ⴽⵓ ⵉⵎⵉⴹ ⴰⵎⴷⴷⴰⴷ ⵖⴰⵔⵙ ⵉⵎⴳⴳⵉ ⴰⵎⵥⵍⴰⵢ ⴳ ⵉⵎⴹⴰⵏ ⵉⵎⵣⵡⵓⵔⴰ.
English: To show this, suppose we divide integers n by m (where m is nonzero).
Tamazight: ⵎⴰⵔ ⴰⴷ ⵏⵙⴱⴰⵢⵏ ⴰⵢⴰⴷ ⵢⵓⵔⴷⴰ ⵉⵙ ⴷⴰ ⵏⴰⵟⵟⵓ ⵉⵎⴹⴰⵏ ⴰⵎⴷⴷⴰⴷⵏ n ⵅⴼ ⵎ ( ⴰⵛⴽⵓ m ⵓⵔ ⵜⴳⵉ ⵜⴰⵎⵢⴰⵜ).
English: If 0 never occurs, then the algorithm can run at most m − 1 steps without using any remainder more than once.
Tamazight: ⵉⴳ ⵓⵔ ⴰⴽⴽⵯ ⵉⵜⵜⵓⴳⴰ 0, ⵜⵖⵢ ⴰⴷ ⵜⵙⵡⵓⵔⵉ ⴰⵍⴳⵓⵔⵉⵜⵎ ⵖⴼ ⴽⵉⴳⴰⵏ ⵏ ⵜⵙⵓⵔⵉⴼⵉⵏ m - 1, ⴱⵍⴰ ⵏⵙⵙⵎⵔⵙ ⴰⵡⴷⵢⴰⵏ ⵓⵎⴰⴳⵓⵔ ⵡⴰⵀⵍⵉ ⵏ ⵜⵉⴽⴽⴰⵍ.
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").
Tamazight: “ⴳ ⵜⵓⵙⵏⴰⴽⵜ, ⵓⵟⵟⵓⵏⴻⵏ ⵉⵖⴰⵔⴰⵏⴻⵏ ⴳⴰⵏⵜⵏ ⵜⵉⵏⵏⴰ ⵉⵜⵜⵓⵙⵎⵔⴰⵙⵏ ⴳ ⵓⵙⵙⵉⵟⵏ ( ⵉⵎⴽ ⵉⵍⵍⴰⵏ ⴳ : ⵍⵍⴰⵏⵜ ⵙⴹⵉⵚ ⵏ ⵉⴷⵔⵉⵎⵏ ⴰⴼⵍⵍⴰ ⵏ ⵜⴷⴰⴱⵓⵜ), ⴷ ⵓⵙⵙⵓⴷⵙ ( ⵉⵎⴽ ⵉⵍⵍⴰⵏ ⴳ : ⵡⴰⴷ ⴰⵖⵔⵎ ⵡⵉⵙⵙ ⴽⵕⴰⴹ ⴳ ⵜⵎⵓⵔⵜ).”
English: These chains of extensions make the natural numbers canonically embedded (identified) in the other number systems.
Tamazight: ⴷⴰ ⵜⴳⴳⴰⵏⵜ ⵜⴳⴼⴼⵓⵔⵉⵏ ⵏ ⵉⵣⴷⴰⵡⵏ ⵏ ⵡⵓⵟⵟⵓ ⵉⵖⴰⵔⴰⵏ ⴳ ⵍⵍⴰⵏ ( ⵉⵥⵍⵉⵏ), ⴳ ⵉⵎⴰⴳⵔⴰⵡⵏ ⵏ ⵡⵓⵟⵟⵓⵏ ⵢⴰⴹⵏ.
English: The first major advance in abstraction was the use of numerals to represent numbers.
Tamazight: ⴰⵣⵡⴰⵔ ⴰⵎⵣⵡⴰⵔⵓ ⵏ ⵜⴰⵏⵣⵖⵜ, ⵉⴳⴰⵜ ⵓⵙⵙⵎⵔⵙ ⴰⵎⴰⵟⵟⵓⵏ ⵉ ⵓⵙⵎⴷⵢⴰ ⵏ ⵡⵓⵟⵟⵓⵏ.