Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.
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Question: Tagalog sentence: Ngunit sa gitna ng dilim, maaaring maprotektahan ang ilang mga promising estratehiya tao mula harsher klima habang pinapanatili kalikasan.

Answer: But amid the gloom, some promising strategies might protect people from harsher climates while preserving nature.


Question: Tagalog sentence: Gayunman, na hindi matanggal ang K.

Answer: However, that fails to eliminate K.


Question: Tagalog sentence: Gamit Mazur's pagpapapangit teorya ng Galois representasyon, kamakailan-lamang na mga resulta sa Serre ng haka-haka sa modularity ng Galois representasyon, at malalim arithmetical pag-aari ng Hecke algebras, Wiles (sa isang key hakbang dahil sama-sama sa Wiles at R Taylor) Tagumpay sa proving na ang lahat ng semistable patambilog kurva tinukoy sa katuwiran numero ay modular.

Answer:
Using Mazur's deformation theory of Galois representations, recent results on Serre's conjecture on the modularity of Galois representations, and deep arithmetical properties of Hecke algebras, Wiles (with one key step due jointly to Wiles and R Taylor) succeeded in proving that all semistable elliptic curves defined over the rational numbers are modular.