TASK DEFINITION: In this task, you are given two sentences in the English language (Sentence 1 and Sentence 2). Your task is to identify the connecting word between the two sentences.
PROBLEM: Sentence 1:This design allows the vertical misalignment to be about 20 cm with a 50 % power efficiency . Sentence 2:However , the U shaped cores also require return cables which bumps up the cost of production .

SOLUTION: however

PROBLEM: Sentence 1:When the same object is weighed on the equator , the same two real forces act upon the object . Sentence 2:However , the object is moving in a circular path as the Earth rotates and therefore experiencing a centripetal acceleration .

SOLUTION: however

PROBLEM: Sentence 1:The New York Times had shrunk to almost nothing by the 1890s . Sentence 2:However , after its purchase by Adolph Ochs of Knoxville , Tennessee , in 1896 , it reached an upscale audience with unbiased and detailed news .

SOLUTION:
however