Yes, every Cauchy sequence of real numbers is convergent. In other words, the real numbers contain all real limits and are therefore continuous, and yes the integers are discrete in that the set of integers only contains (very very few, with respect to the set of rationals) rational numbers, i.e. their values can always be accurately displayed unlike the set of reals which is dense with Irrational Numbers. It's so dense with irrationals in fact, that by comparison, the set of rationals can be called a null set, however that is a different topic.
yesYes, integers are real numbers.
No, all integers are real numbers, but not all real numbers are integers. For example, 1.25 is a real number and a non-integer.No.
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
Every integers are real numbers.more precisely, integers are the subset of R, the set of real numbers.They are whole numbers with no decimals or fractions
Integers are a subset of rational numbers which are a subset of real numbers which are a subset of complex numbers ...
Yes, integers are discrete. Real and rational numbers have a special property that we can find another one of them between any two. This is what makes them NOT discrete. Between any two integers, say 1 and 2, we cannot find another integer. They are discrete.Things we can count are discrete. For example, the number of questions answered during the answerthon is discrete. Temperature is not discrete.
yesYes, integers are real numbers.
All integers are real numbers, but not all real numbers are integers.
No, all integers are real numbers, but not all real numbers are integers. For example, 1.25 is a real number and a non-integer.No.
You have it backwards. Integers are a subset of real numbers.
yesYes, integers are real numbers.
It sounds like the issue here is whether the data is continuous or discrete. If that is the case then the recording period is not of concern. If you are watching a Petri dish and counting the number of colonies on the dish each day then your data would be discrete. If one the other hand you are watching one colony on a Petri dish and measuring its largest dimension each day in centimetres and fractions of centimetres then your data would be continuous. Discrete data is essentially data that comes from the set of integers. Theoretically continuous data comes from the set of real numbers; in practice it comes from the set of rational numbers.
Discrete and Continuous GraphThis will be a very basic definition but understandable one A graph is discrete when one (or both) of the variables has discrete entries, its means that are entered number, without decimal part, so the graph has no continuity, the trace will be broken parts, not a single one.beside a continuous graph is a graph where both variables are continuous, it means that their field's are de Real number, so the trace it's a continuous line.Also we can differentiated because the range are points (in a discrete one) and all the numbers (in a continuous one).
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
Decimals are real numbers. Furthermore, integers and whole numbers are the same thing.
Every integers are real numbers.more precisely, integers are the subset of R, the set of real numbers.They are whole numbers with no decimals or fractions
Every integers are real numbers.more precisely, integers are the subset of R, the set of real numbers.They are whole numbers with no decimals or fractions