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There sure is, and a major connection at that.
Consider a finite set of n elements. The symmetric group of this set is said to have a degree of n. The symmetric group of degree n (Sn) is the Galois group of the general polynomial of degree n. In order for there to be a formula involving radicals that solve the general polynomial of degree n, such as the quadratic equation when n = 2, that polynomial's corresponding Galois group must be solvable. S5 is not a solvable group. Therefore, the Galois group of the general polynomial of degree 5 is not solvable. Thus the general polynomial of degree 5 has no general formula to solve it using radicals.
This was huge result, and one of the first real applications, for group theory, since that problem had stumped mathematicians for centuries.
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How many lines of symmetry does an ellipse have?
An ellipse has two lines of mirror symmetry: the line that includes the two foci of the ellipse and the perpendicular bisector of the segment of that line between the two foci.
Why is the axis of symmetry halfway between two points on the parabola that have the same y-value?
The axis of symmetry is a line where if you were to fold the graph in half on that line, every point should perfectly match up with it's opposite.
Which of the following is the best definition of analogy?
An argument that attempts to establish a logical connection or similarity between two thingsAn argument that attempts to establish a logical connection or similarity between two things
What is the linear relationship between number of sides and number of lines of symmetry?
If you're talking about convex polygons with equal sides (eg. equilateral triangles, squares, pentagons, hexagons, etc.), then the relationship is a very direct one. In those cases, there are as many lines of symmetry as there are points in the polygons. A triangle has three lines of symmetry, a square has four, a pentagon five, etc.
What is the difference between connectives and conjunctions?
connection is relationship between two or more words.conjunction a word that is used for joining others words,phrases,or sentences
What was Evariste Galois known as?
Many consider him the father of modern algebra. Galois theory was named after him and is very important for many reasons one of which is it provides a connection between field theory in modern algebra and group theory.
What is the difference between symmetry and approximate symmetry?
Approximate Symmetry is approximately symmetrical. Regular Symmetry is Symmetrical for sure.
What is the difference between lines of symmetry and planes of symmetry?
Lines of symmetry are 2 dimensional. Planes of symmetry are 3D.
What is the difference between line symmetry and line of symmetry?
A symmetrical shape is said to have line symmetry. A shape that has line symmetry can have one or more lines of symmetry
Is there a relationship between the number of lines of symmetry a shape has and rotational symmetry?
No.
What is the connection between immigration and urbanization?
what is the connection between urbanization and Immigration
What is the difference between reflexive symmetry and rotational symmetry?
reflexive symmetry- It is easy to recognize , because one half is the reflection of other Half
What is the relationship between rotational symmetry and the number of lines of symmetry for an equilateral triangle?
i am a gummi bear ..............................................................................................................................................................................................................
How do you put connection in a sentence?
i can not see the Connection. Do you feel the Connection with this place?
Does a rectangle have four lines of symmetry?
Only two - parallel to and halfway between the sides. The diagonals are not lines of symmetry.
Is there a connection between a metalloid and a semiconductor?
What is the connection between a metaloid and a semiconductor
Is there a connection between cystic fibrosis and cholera?
Yes there is connection between them!!
