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This would make creating two unit squares out of one impossible.
For example, consider a circle inscribed in a unit square.
It is not space-filling in the standard sense of including the entire 2-dimensional unit square.
He developed a new conic curve based on the unit square.
Figure 1 shows the distribution of 500 pseudo-random points on the unit square.
Now let us take some figure such as the unit square or the unit disk.
By convention, the napkin is always a unit square.
In that case a mapping of the unit square with periodic boundary conditions onto itself results.
In a unit square, the diagonal has this length.
In mathematics, a unit square is a square whose sides have length 1.
Polyominos are formed by joining unit squares along their edges.
Next, consider the event that "the dart hits the diagonal of the unit square exactly".
Pack n unit squares into the smallest possible square.
In this case, if T is bounded from to then one should draw the point in the unit square.
The composition of and is a continuous function mapping the Cantor set onto the entire unit square.
This picture shows a unit square which has been dissected into an infinity of smaller squares.
(Note that the unit square is the union of two such triangles.)
These vectors define the vertices of the unit square.
The associated Cayley complex is a regular tiling of the plane by unit squares.
When we pair them up, we get a sequence of points in a unit square:
His purpose was to construct a continuous mapping from the unit interval onto the unit square.
It is not known whether any point in the plane is a rational distance from all four vertices of the unit square.
The unit 2-disc D and the unit square in R are homeomorphic.
In game theory, Silverman's game is a zero sum game played on the unit square.
This procedure yields a surface on the unit square which is continuous and with continuous derivatives.