its 2 types of numbers
Finite numbers: have an end. they can be extremely long, but as long as they have an end at some point they are finite
Infinite numbers never end. 1/3 is infinite, because the 0,3333 continues forever without even reaching exactly 1/3. 1/4 is finite, because it is exactly 0,25. So basically infinite numbers can never be written down exactly (in a decimal way), no matter how much paper you use, whereas finite numbers can.
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Finite.
No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.
No. It must be infinite AND non-recurring.
finite automata
Normally, a cyclic group is defined as a set of numbers generated by repeated use of an operator on a single element which is called the generator and is denoted by g.If the operation is multiplicative then the elements are g0, g1, g2, ...Such a group may be finite or infinite. If for some integer k, gk = g0 then the cyclic group is finite, of order k. If there is no such k, then it is infinite - and is isomorphic to Z(integers) with the operation being addition.