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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.
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Are integers real numbers?
yesYes, integers are real numbers.
Are all real numbers 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.
Which of the following sets of numbers contains multiplicative inverses for all its elements Positive Integers Integers Rational Numbers Real Numbers?
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
Are all integers real numbers?
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 what types of numbers?
Integers are a subset of rational numbers which are a subset of real numbers which are a subset of complex numbers ...
Are integers discrete?
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.
Are integers real numbers?
yesYes, integers are real numbers.
Can a exponential function be discrete or continuous?
Exponential functions are typically considered continuous because they are defined for all real numbers and have a smooth curve. However, they can also be represented in a discrete form when evaluated at specific intervals or points, such as in the context of discrete-time models. In such cases, the function takes on values at discrete points rather than over a continuous range. Thus, while exponential functions are inherently continuous, they can be adapted to discrete scenarios.
Are some real number integers?
All integers are real numbers, but not all real numbers are integers.
Are all real numbers 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.
Is it continuous data if you record change for 1 week?
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.
Is real numbers a subset of Integers?
You have it backwards. Integers are a subset of real numbers.
Are integers real?
yesYes, integers are real numbers.
What is the difference between discrete and continuous graphs?
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).
Which of the following sets of numbers contains multiplicative inverses for all its elements Positive Integers Integers Rational Numbers Real Numbers?
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
What are decimals real numbers natural numbers integers or whole numbers?
Decimals are real numbers. Furthermore, integers and whole numbers are the same thing.
What is the difference between discrete problem and continuous problem In terms of Optimization Techniques?
In optimization, a discrete problem involves variables that can take on distinct, separate values, often represented as integers, such as scheduling or routing problems. In contrast, a continuous problem allows variables to take on any value within a given range, often represented by real numbers, such as minimizing a function over a continuous domain. Consequently, the optimization techniques differ; discrete problems typically use methods like integer programming or combinatorial optimization, while continuous problems often employ techniques like gradient descent or linear programming.
