<prompt> Hesabu kufanana Cosine kati ya sentensi mbili zifuatazo.Yeye ni msichana mzuri zaidi shuleni. Msichana huhudhuria chuo kila siku.  <response>: Ili kuhesabu kufanana cosine kati ya sentensi mbili, tunahitaji kubadilisha sentensi hizo katika vectors kutumia njia ya vectorization kama Bag ya Maneno au TF-IDF. Kisha, tunaweza kuchukua dot bidhaa ya vectors mbili na kugawanya kwa bidhaa ya ukubwa wa kila vector. kubadilisha sentensi katika vectors kutumia Bag ya Maneno: yeye, ni, the, zaidi, mrembo, msichana, katika, shule, hudhuria, chuo, kila siku, siku Sentence 1: 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 Sentence 2: 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1 Dots bidhaa ya vectors mbili ni 10 10 11 10 10 11 10 01 01 10 01 10 1 10 1 10 1 10 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 