Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

Input: Consider Input: Tagalog sentence: Ang haba ng harap ng sa gitna ng string 525 mm

Output: The length of the front of the middle of a bowstring 525 mm


Input: Consider Input: Tagalog sentence: Ang mga pangunahing problema sa lugar na ito ay upang mahanap ang isang nonsingular algebraic iba't-ibang U, na birationally ay katumbas ng isang hindi na mababawasan algebraic iba't-ibang V, tulad na ang mapping f: UV ay regular na ngunit hindi biregular.

Output: The main problem in this area is to find a nonsingular algebraic variety U, that is birationally equivalent to an irreducible algebraic variety V, such that the mapping f: U V is regular but not biregular.


Input: Consider Input: Tagalog sentence: Ang Poincaré-Bendixson teorama, kung saan sinabi ng isang kabuuan curve na hindi na magwakas sa isang isahan point ay may limitasyon na cycle, ay unang proved by Poincaré ngunit isang mas mahigpit na ebidensya na may weaker hypotheses ay ibinigay sa pamamagitan ng Bendixson sa 1901.


Output: The Poincaré -Bendixson theorem, which says an integral curve which does not end in a singular point has a limit cycle, was first proved by Poincaré but a more rigorous proof with weaker hypotheses was given by Bendixson in 1901.