Dilation (mathematics)

Encyclopedia : D : DI : DIL : Dilation (mathematics)

---

In mathematics, a dilation is a function f from a metric space into itself that satisfies the identity

[d(f(x),f(y))=rd(x,y)]

where d(x,y) is the distance from x to y and r is some positive real number.

---

Dilation is yet another name for similarity of a Euclidean space.

See also

• homothety
• Isometric dilation
• Unitary dilation
• Dilation (non mathematical uses)

 

---

From Wikipedia, the Free Encyclopedia. Original article here. Support Wikipedia by contributing or donating.
All text is available under the terms of the GNU Free Documentation License See Wikipedia Copyrights for details.

Search Titles

0

1

2

3

4

5

6

7

8

9

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

?