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

English sentence: In 1686 Halley published a map of the world showing the prevailing winds over the oceans.
Sa 1686 Halley-publish ng isang mapa ng mundo ay nagpapakita ng laganap winds sa oceans.

English sentence: -Boasting of what one plans to do: James 4:16
-Ipinagmamalaki ang binabalak gawin: Santiago 4:16

English sentence: 3 Let with . Prove that if is invertible then .

3 Hayaan may . Patunayan na kung ay invertible pagkatapos .