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The real number system is a mathematical field. To start with, the Real number system is a Group. This means that it is a set of elements (numbers) with a binary operation (addition) that combines any two elements in the set to form a third element which is also in the set. The Group satisfies four axioms: closure, associativity, identity and invertibility. In addition, it is a Ring. A ring is an Abelian group (that is, addition is commutative) and it has a second binary operation (multiplication) that is defined on its elements. This second operation is distributive over the first. And finally, a Field is a Ring over which division - by non-zero numbers - is defined. There are several mathematical terms above which have been left undefined to keep the answer to a manageable size. All these algebraic structures are more than a term's worth of studying. You can find out more about them using Wikipedia but be sure to select the hit that has "mathematical" in it!
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoAn algebraic number field is another name for a number field - a field which includes all the rational numbers and has finite dimension as a vector space over the rational numbers.
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What are the different classification of algebraic expression according to the number of term?
classifacation of algebraic expression according to the number of terms
What is an algebraic expresion?
an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,
A number or an algebraic expression that is a factor of two or more numbers of algebraic expression is what?
a common factor
What is the algebraic expression for twice a number?
2n
When does a number or value called a solution to an algebraic?
If I understand the question correctly, it is when the algebraic equation (or inequality) is true.
What has the author Gerald J Janusz written?
Gerald J. Janusz has written: 'Algebraic number fields' -- subject(s): Class field theory, Algebraic fields
What is an algebraic number?
An algebraic number is a complex number which is the root of a polynomial equation with rational coefficients.
What is an algebraic closure?
An algebraic closure is of a field K is an algebraic extension of K which is algebraically closed - that is, it contains a root for every non-constant polynomial in F(x).
What are the different classification of algebraic expression according to the number of term?
classifacation of algebraic expression according to the number of terms
What is an algebraic expresion?
an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,
What does transcendental mean in mathematics?
An algebraic number is one which is a root of a polynomial equation with rational coefficients. All rational numbers are algebraic numbers. Irrational numbers such as square roots, cube roots, surds etc are algebraic but there are others that are not. A transcendental number is such a number: an irrational number that is not an algebraic number. pi and e (the base of the exponential function) are both transcendental.
What is an algebraic integer?
An algebraic integer is a number which is a root of a monic polynomial whose coefficients are integers.
A number or an algebraic expression that is a factor of two or more numbers of algebraic expression is what?
a common factor
What is the field of mathematics?
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers do. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics.
When can you say that a number is called a solution in algebraic expression?
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
What does it mean for a number to be transcendental?
An algebraic number is a number that is a root of a non-zero polynomial with rational coefficients. A transcendental number is a real or complex number that is not an algebraic number. Two notable examples are pi and e.
What is the literal number in an algebraic term?
99
