An Etymological Dictionary of Astronomy and Astrophysics
English-French-Persian

1) General: Surpassing or superior.
2) Math.: → transcendental function, → transcendental number.

From transcendentalis, from transcendere "to climb over or beyond, surmount," from → trans- "beyond" + scandere "to climb" + -alis, → -al.

Tarâfarâzandé, from tarâ- "beyond, over," → trans-, + farâzandé agent noun of farâzandan "to raise, erect, exalt," from farâz "above, up, upon, on the top, aloft," from Mid.Pers. farâz, farâc "forward, prominent, distinguished;" Av. frānk- (adj.) "turned toward the front," fraca (adv.) "forward, forth," fraš (adv.) "forward, forth; before;" Proto-Iranian *frānk-.

A function which is not → algebraic. For example y = cosx, y = 10^xx.

→ transcendental; → function.

In Kantian epistemology, a pure logic which contains solely the rules of the pure thought of an object, excluding any mode of knowledge with empirical content. Whereas general logic is not concerned with the origin of our cognitions, transcendental logic would contain rules for the use of → a priori cognitions.

→ transcendental; → logic.

A → real number that is not a → root of any → algebraic equation with → rational → coefficients. Every transcendental number is → irrational. Examples of transcendental numbers are π = 3.1415926... and e = 2.7182818...

→ transcendental; → number.