?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=GENERALISASI++BILANGAN+TAU&rft.creator=+JORGI+MARIDHO+SIJABAT+%2C+1217031039&rft.subject=Q+Science+(General)&rft.subject=QA+Mathematics&rft.description=ABSTRAK%0D%0AKennedy+dan+Cooper+mendefinisikan+bilangan+bulat+positif+menjadi+bilangan+Tau+jika+%CF%84+(n)++%7C++n%2C+%CF%84+adalah+fungsi+banyaknya+pembagi+dari+n.+Beberapa+bilangan+Tau+pertama+antara+lain%0D%0A1%2C+2%2C+8%2C+9%2C+12%2C+18%2C+24%2C+36%2C+40%2C+56%2C+60%2C+72%2C+80%2C+.+.+.+%3B%0D%0Ayang+merupakan+barisan+Sloane.+Selain+itu%2C+Kennedy+dan+Cooper+menunjukkan+bahwa+bilangan+Tau+mempunyai+densitas+nol.%0D%0A%0D%0AKonsep+bialngan+Tau+ditemukan+ulang+oleh+Colton%2C+yang+mneyebut++bilangan+tersebut++dapat+difaktorkan+kembali.+Colton+menduga+bahwa+bilangan+Tau+kurang+dari+atau+sama+dengan++setengah+dari+banyaknya+bilangan+prima+dari+n+yang+diberikan.+CSelanjutnya+Colton+menduga+bahwa+untuk+bilangan+n+yang+cukup+besar+juga+masih+berlaku+dengan+membuktikan+perumumannya.%0D%0A%0D%0ASangat+mungkin+untuk+memperumum+konsep+bilangan+Tau.+Pertama+perhatikan+bahwa+defenisi+bilangan+Tau+ekuivalen+dengan++n+mod+%CF%84+(n)+%3D+0.+Selanjutnya+dikatakan+bahwa+n+bialngan+Tau+relatif+dengan+k+jika+n+mod+%CF%84+(n)+%3D+k.+Sehingga+jika+k+%3D+0%2C+maka+diperoleh+bilangan+Tau+biasa+dan+mudah+untuk+dilihat+bahwa+setiap+bilangan+prima+ganjil+merupakan+bilangan+Tau+yang+relatif+dengan+1.+Juga%2C+mudah+dilihat+bahwa+sebarang+bilangan+Tau+n+relatif+dengan+k%2C+untuk+suatu+k.%0D%0A%0D%0AKata+Kunci+%3A+Bilangan+Tau+%2C+bilangan+prima%2C+bilangan+bulat+positif+%2C+perumuman+%0D%0A+++++++++++++++++++++++bilangan+Tau%0D%0A%0D%0A%0D%0A%0D%0AABSTRACT%0D%0A%0D%0AKennedy+and+Cooper++defined+a+positive+integer+to+be+a+tau++number++if+%0D%0A%CF%84+(n)++%7C++n%2C+where+%CF%84+is+the+number-of-divisors+function.++The+first+few+Tau++numbers++are%0D%0A%0D%0A1%2C+2%2C+8%2C+9%2C+12%2C+18%2C+24%2C+36%2C+40%2C+56%2C+60%2C+72%2C+80%2C+.+.+.+%3B%0D%0A%0D%0Ait+is+Sloane%E2%80%99s+sequence+.+Among+other+things%2C+Kennedy+and+Cooper+showed+the+Tau+numbers++have+density+zero.%0D%0A%0D%0AThe+concept+of+Tau+number+was+rediscovered+by+Colton%2C+who+called+these+numbers+refactorable+.+This+paper+is+primarily+concerned+with+two+conjectures+made+by+Colton.++Colton+conjectured++that++the+number+of+Tau+numbers+less+than++or+equal+to+a+given+n+was+at+least+half+the+number+of+primes+less+than+or+equal+to+n.++++Other++results+are+also+given%2C+including+the+properties++of+the+Tau++numbers++as+compared+to+the+primes.++Various+generalizations++of+the+Tau++numbers++are+also+discussed.+%0D%0A%0D%0AIt+is+possible+to+generalize+the+concept+of+tau+number.+First+consider+that+the+definition+of+tau+number+is+equivalent+to+n+mod+%CF%84+(n)+%3D+0.+We+now+say+that+n+is+a+tau+number+relative+to+k+if+n+mod+%CF%84+(n)+%3D+k.+Of+course%2C+k+%3D+0+gives+the+ordinary+tau+numbers+and+it+is+easy+to+see+that+every+odd+prime+is+a+tau+number+relative+to+1.+Also+it+is+easy+to+see+that+any+n+is+a+tau+number+relative+to+k%2C+for+some+k.%0D%0A%0D%0AKeywords+%3A+Tau+number%2C+prime+number%2C+positive+integer%2C+generalization+tau++++%0D%0A+++++++++++++++++++++number%0D%0A%0D%0A%0D%0A%0D%0A&rft.publisher=+FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM+&rft.date=2016-10-18&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F24340%2F1%2FABSTRAK%2520%2528ABSTRACT%2529.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F24340%2F9%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F24340%2F10%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=+++JORGI+MARIDHO+SIJABAT+%2C+1217031039++(2016)+GENERALISASI+BILANGAN+TAU.+++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM+%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F24340%2F