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Symmetrically

1.
characterized by or exhibiting symmetry; well-proportioned, as a body or whole; regular in form or arrangement of corresponding parts.
2.
Geometry.

noting two points in a plane such that the line segment joining the points is bisected by an axis:
Points (1, 1) and (1, −1) are symmetrical with respect to the x-axis.
noting a set consisting of pairs of points having this relation with respect to the same axis.
noting two points in a plane such that the line segment joining the points is bisected by a point or center:
The points (1, 1) and (−1, −1) are symmetrical with respect to (0, 0).
noting a set consisting of pairs of points having this relation with respect to the same center.

3.
Often, symmetric. Mathematics.

noting a square matrix that is equal to its transpose.
noting a relation in which one element in relation to a second implies the second in relation to the first.

4.
Botany.

divisible into two similar parts by more than one plane passing through the center; actinomorphic.
(of a flower) having the same number of parts in each whorl.

5.
Chemistry.

having a structure that exhibits a regular repeated pattern of the component parts.
noting a benzene derivative in which three substitutions have occurred at alternate carbon atoms.

6.
affecting corresponding parts simultaneously, as certain diseases.
1.
possessing or displaying symmetry Compare asymmetric
2.
(maths)

(of two points) capable of being joined by a line that is bisected by a given point or bisected perpendicularly by a given line or plane: the points (x, y) and (–x, –y) are symmetrical about the origin
(of a configuration) having pairs of points that are symmetrical about a given point, line, or plane: a circle is symmetrical about a diameter
(of an equation or function of two or more variables) remaining unchanged in form after an interchange of two variables: x + y = z is a symmetrical equation

3.
(chem) (of a compound) having a molecular structure in which substituents are symmetrical about the molecule
4.
(botany) another word for isomerous
5.
Also symmetric. (of a disease, infection, etc) affecting both sides of the body or corresponding parts, such as both legs

Tagged:

• Symmetric-difference

noun, Mathematics. 1. the union of the relative complements of two sets.

• Symmetric-function

noun, Mathematics. 1. a polynomial in several indeterminates that stays the same under any permutation of the indeterminates.

• Symmetric-group

noun, Mathematics. 1. the group of all permutations of a finite set.

• Symmetric key cryptography

cryptography A cryptography system in which both parties have the same encryption key, as in secret key cryptography. Opposite: public-key cryptography. (1998-06-09)

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