TASK DEFINITION: Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.
PROBLEM: Tagalog sentence: Isang mahalagang matematiko kaganapan ang naganap habang siya ay sa Gottingen, para sa na ay ang taon kung saan Holmgren lectured sa Fredholm 's theory ng integral equation sa Gottingen. Hilbert agad-agad na nakita niya ang kahalagahan ng Fredholm 's theory at trabaho sa Gottingen sa paksang ito ay nagsimulang kaagad. Plemelj ay isang pangunahing kontribyutor sa trabaho na ito at siya ay kabilang sa mga unang na gumawa ng mga malalaking pagsulong.

SOLUTION: An important mathematical event occurred while he was at Göttingen, for that was the year in which Holmgren lectured on Fredholm 's theory of integral equations at Göttingen. Hilbert immediately saw the he importance of Fredholm 's theory and work at Göttingen on this topic began immediately. Plemelj was a major contributor to this work and he was among the first to make major advances.

PROBLEM: Tagalog sentence: 1. Aluminum frame liwanag upang dalhin, malakas sa upuan at hindi Rust.

SOLUTION: 1. Aluminum frame is light to carry, strong to seat and will not rust.

PROBLEM: Tagalog sentence: Ang aming kadalubhasaan ay paganahin ang sa amin upang matiyak na ang finest Modern Sofa sa pamamagitan ng ang subjecting aming mga produkto sa mahigpit na kalidad ng control hakbang sa bawat yugto ng produksyon at habang despatso. Taos-puso kaming malugod lahat ng kaugnay na mga kaibigan sa buong mundo na dumating para sa pagbisita at kooperasyon!

SOLUTION:
The Modern Sofa exported by us are meticulously designed by our team of qualified personnel and are available indifferent sizes and shapes. We sincerely welcome all relevant friends all over the world to come for visit and cooperation!