In mathematics, a **unit square** is a square whose sides have length 1. Often, "the" unit square refers specifically to the square in the Cartesian plane with corners at (0, 0), (1, 0), (0, 1), and (1, 1).

Read more about Unit Square: In The Real Plane, In The Complex Plane

### Other articles related to "unit square, unit":

... and the derivatives, and are known at the four corners, and of the

**unit square**... This procedure yields a surface on the

**unit square**which is continuous and with continuous derivatives ... approximated from the function values at points neighbouring the corners of the

**unit square**, e.g ...

**Unit Square**- In The Complex Plane

... In the complex plane, the corners of the unit square are at 0, 1, and 1 +. ...

... It maps the

**unit square**into a smooth-continuous surface embedded within a space of the same dimensionality as { ki,j } ... u, v is given by evaluated over the

**unit square**, where is a Bernstein polynomial, and is the binomial coefficient ... in the (u, v) space, and, in particular, all four edges of the deformed (u, v)

**unit square**are Bézier curves ...

... We start with a continuous function from the Cantor space onto the entire

**unit**interval ... From it, we get a continuous function from the topological product onto the entire

**unit square**by setting Since the Cantor set is homeomorphic to the product, there is a continuous ... The composition of and is a continuous function mapping the Cantor set onto the entire

**unit square**...

... A space-filling curve is a continuous map of the

**unit**interval onto a

**unit square**and so a (pseudo) inverse maps the

**unit square**to the

**unit**interval ... Let the lower-left corner (0, 0) of the

**unit square**correspond to 0.0 (and 1.0) ... (Note that the

**unit square**is the union of two such triangles.) The remaining parameters specify the level of accuracy to which the inverse should be computed ...

### Famous quotes containing the words square and/or unit:

“Rationalists, wearing *square* hats,

Think, in *square* rooms,

Looking at the floor,

Looking at the ceiling.

They confine themselves

To right-angled triangles.”

—Wallace Stevens (1879–1955)

“During the Suffragette revolt of 1913 I ... [urged] that what was needed was not the vote, but a constitutional amendment enacting that all representative bodies shall consist of women and men in equal numbers, whether elected or nominated or coopted or registered or picked up in the street like a coroner’s jury. In the case of elected bodies the only way of effecting this is by the Coupled Vote. The representative *unit* must not be a man or a woman but a man and a woman.”

—George Bernard Shaw (1856–1950)