Sentences with HOMOGENEOUS-POLYNOMIAL
Check out our example sentences below to help you understand the context.Sentences
1
"The homogeneous polynomial equation has degree 4."
2
"To solve this problem, we need to factor the homogeneous polynomial expression."
3
"The researcher analyzed the behavior of the homogeneous polynomial function."
4
"In this system of equations, all the variables have a homogeneous polynomial relationship."
5
"The homogeneous polynomial equation can be expressed as a linear combination."
6
"The homogeneous polynomial curve passes through the origin."
7
"The coefficients of a homogeneous polynomial are linearly independent."
8
"The homogeneous polynomial expansion can be written as a series."
9
"The homogeneous polynomial transformation simplifies the equation."
1
"A homogeneous polynomial of degree 2 in two variables is xy + x^2 - y^2."
2
"The equation x^3 - 2x^2 + xy - y^2 = 0 represents a homogeneous polynomial."
3
"In algebraic geometry, a homogeneous polynomial defines a projective variety."
4
"The polynomial 3x^2 - 3y^2 + 6xy is an example of a homogeneous polynomial."
5
"A bipartite graph can be represented by a homogeneous polynomial."
6
"The zero polynomial is a homogeneous polynomial of any degree."
7
"In physics, homogeneous polynomials appear in the study of symmetry."
8
"The polynomial 2x^3 - 2y^3 + 6xy is a degree-3 homogeneous polynomial."
9
"A homogeneous polynomial equation is invariant under scaling of variables."
10
"A homogeneous polynomial can be represented as a sum of monomials of the same degree."
11
"The polynomial 2x^4 - 2y^4 + 4xy^3 is a quartic homogeneous polynomial."
12
"The concept of a homogeneous polynomial generalizes to more variables."
13
"Certain families of curves can be described using homogeneous polynomials."
14
"A homogeneous polynomial of degree n is the sum of all terms with degree n."
15
"The sum of two homogeneous polynomials of the same degree is also homogeneous."
16
"The polynomial 4x^5 - 4y^5 + 10x^2y^3 is an example of a quintic homogeneous polynomial."
17
"A homogeneous polynomial can be represented as a homogeneous function of its variables."
1
"A homogeneous polynomial of degree 2 has all terms of degree 2."
2
"The sum of two homogeneous polynomials of the same degree is also a homogeneous polynomial."
3
"The product of two homogeneous polynomials of any degree is a homogeneous polynomial."
4
"A homogeneous polynomial of degree 3 can be written as a linear combination of monomials."
5
"The zero polynomial is a homogeneous polynomial of any degree."
6
"A homogeneous polynomial of degree 1 is often called a linear polynomial."
7
"The set of all homogeneous polynomials of degree 4 forms a vector space."
8
"A homogeneous polynomial of degree 0 is simply a constant."
9
"The degree of a homogeneous polynomial is the maximum degree of its terms."
10
"A homogeneous polynomial can be represented as a sum of monomials with the same degree."
