Sentences with ALGEBRAIC-NUMBER
Check out our example sentences below to help you understand the context.Sentences
1
"The equation has an algebraic number solution."
2
"The solution to the problem is an algebraic number."
3
"Algebraic number theory studies the properties of algebraic numbers."
4
"The sum of two algebraic numbers is also an algebraic number."
5
"The algebraic number field is closed under addition and multiplication."
6
"An algebraic number can be expressed as the root of a polynomial equation."
7
"The algebraic number system includes rational and irrational numbers."
8
"An algebraic number can be expressed as a finite or infinite series."
9
"The set of algebraic numbers is countable."
1
"An algebraic number is any real number that is a root of a nonzero polynomial equation with integer coefficients."
2
"The square root of 2 is an example of an algebraic number."
3
"The number pi is not an algebraic number; it is transcendental."
4
"The algebraic numbers include the rational numbers and the roots of quadratic, cubic, and higher-degree polynomials."
5
"The sum and product of two algebraic numbers are also algebraic numbers."
6
"Any algebraic number raised to a rational exponent is still an algebraic number."
7
"The set of algebraic numbers is countable, meaning they can be put into a one-to-one correspondence with the positive integers."
8
"The algebraic numbers form a field, meaning they are closed under addition, subtraction, multiplication, and division."
9
"The degree of an algebraic number is the degree of the polynomial that it satisfies."
10
"The golden ratio, denoted as φ, is an example of an algebraic number."
11
"The cube root of 5 is an algebraic number."
12
"The imaginary unit, denoted as i, is not an algebraic number."
13
"The algebraic numbers are a subset of the complex numbers."
14
"The algebraic closure of the rational numbers is a field that contains all algebraic numbers."
15
"An algebraic number with degree 1 is simply a rational number."
16
"The algebraic numbers have interesting properties in number theory."
1
"An algebraic number is a number that is a root of a polynomial equation with integer coefficients."
2
"Pi is an example of an algebraic number because it is a root of the polynomial equation x - 3.14159 = 0."
3
"The square root of 2 is an algebraic number because it is a root of the polynomial equation x^2 - 2 = 0."
4
"The golden ratio, phi, is an algebraic number since it satisfies the equation x^2 - x - 1 = 0."
5
"Every rational number is an algebraic number because it can be expressed as a quotient of two integers."
6
"The number i, the imaginary unit, is an algebraic number since it satisfies the equation x^2 + 1 = 0."
7
"The cubic root of 5 is an algebraic number because it is a root of the polynomial equation x^3 - 5 = 0."
8
"The square root of 3 + the square root of 2 is an algebraic number because each term satisfies a polynomial equation."
9
"The number e, Euler's number, is an algebraic number because it is a root of the polynomial equation x - 2.71828 = 0."
10
"The square root of 7 is an algebraic number because it is a root of the polynomial equation x^2 - 7 = 0."
