Will continuing this process cause the table to disappear, even though you have removed only half of the table? Why?
AT&T LTE 4:48 PM @ O 29%LD. + MATH 241 4 Assessment.pdf Ñ MATH 2414 Assessment.pdf â¼ Georg Cantor (1845-1918) was a famous German mathematician who worked largely with integers, infinite numbers, and series. He is most well-known for his inventions of number theory (theories concerning integers) and set theory (a theory proving the existence of transfinite sets). He also dealt with a great deal of series and sequences, and came up with the situation that this project is proving, known as Cantor's Disappearing Table. Cantor's disappearing table is actually a proof meant to only work in the theoretical, and since it defies logic, its worldly applications are severely limited. However, Series and their Sums and Limits have a wide variety of applications. Geometric series and sums have applications in the realm of economics. For example, we use geometric series to determine the total amount of money to be paid off if there is a regular pattern of future payments to a person or company, like in rental payments or leases 2 Problem Statement The following procedure shows how to make a table disappear by removing only half of the table: (a) The original table has length L (b) Remove of the table centered at the midpoint. Each remaining piece has a length that is less than
AT&T LTE 4:48 PM @ O 29%LD. + Ã MATH 241 4 Assessment.pdf MATH 2414 Assessment.pdf 2 of 5 a) Remove of the table by taking sections of length the two remaining pieces. Now you have remove remaining piece has a length that is less than from the centers of each of of the table. Each d) Remove i. of the table by taking sections of length 641 from the centers of each of the four remaining pieces. Now you have removed\ Each remaining piece has a length that is less than ofthe table.
Show transcribed image textAT&T LTE 4:48 PM @ O 29%LD. + MATH 241 4 Assessment.pdf Ñ MATH 2414 Assessment.pdf â¼ Georg Cantor (1845-1918) was a famous German mathematician who worked largely with integers, infinite numbers, and series. He is most well-known for his inventions of number theory (theories concerning integers) and set theory (a theory proving the existence of transfinite sets). He also dealt with a great deal of series and sequences, and came up with the situation that this project is proving, known as Cantor's Disappearing Table. Cantor's disappearing table is actually a proof meant to only work in the theoretical, and since it defies logic, its worldly applications are severely limited. However, Series and their Sums and Limits have a wide variety of applications. Geometric series and sums have applications in the realm of economics. For example, we use geometric series to determine the total amount of money to be paid off if there is a regular pattern of future payments to a person or company, like in rental payments or leases 2 Problem Statement The following procedure shows how to make a table disappear by removing only half of the table: (a) The original table has length L (b) Remove of the table centered at the midpoint. Each remaining piece has a length that is less than AT&T LTE 4:48 PM @ O 29%LD. + Ã MATH 241 4 Assessment.pdf MATH 2414 Assessment.pdf 2 of 5 a) Remove of the table by taking sections of length the two remaining pieces. Now you have remove remaining piece has a length that is less than from the centers of each of of the table. Each d) Remove i. of the table by taking sections of length 641 from the centers of each of the four remaining pieces. Now you have removed\ Each remaining piece has a length that is less than ofthe table.
