Biomedical Engineering Reference
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the instance of the angle in our problem. Then test instance construction system for
all the angles of our problem TIC ð Þ , then P ¼ NP.
Conversion We know that / ¼ / 1 ; ... ; / n
2 0 ; 360
d
½
is the optimal solu-
then d ¼ 2
tion,
where
d
dihedral
angles
min
/ 2 0 ; 360
f
v ð / : / is arotation about
d
½
the bond i Þg n is the maximum number of angles, n [ 0 and d [ 0. Let 2 [ 0be
given. Wh ere /
is continuous, there is a point p 2 / , / 2 / ðÞ w here
\ 2
v ðÞ 2 / ðÞ ,
im plies
/ i p ; / i þ p
and
we
have
/ i p ;
/ i þ p j / þ v ðj j \d þ 2 / ðÞ \ 2
Uniqueness using the ex ist ence an d uniqueness theorem, we know that /
is
then converges.
continuous, in the interval / i p ; / i þ p
B2
D is said to be covering itself if S
j
D j D and each elements of at least one of D
belongs to d j . The system D j is packing if D i \ D j ¼;ð i j), S
j
D j D
If two sets D 1 ; D 2 ; ... have the same elements in common then each element
D 1 ; D 2 ; ... belong to D :
B3
Each segment can be treated as open beads, as such the coordinates belong to a set
X and for any point p D j and d ¼ D j where the measure is positive.
So, the definition of the bead is:
D ¼ x:d(p,x)\d
f
g
B4
Let A and B be a disjoint convex set in a convex space, then
A ¼ x: x D i
n
o and B ¼ x: x D j
n
o , the distance is given by:
2 \r j
Þ 2 \r i
ð
n
o then
2 r j
dis(D i ; D j Þ¼ r i þ r j . The closure of B is given by B ¼ x: x D j
A \ B ¼; .
A is an open set by construction. A & B are the convex hull, also by con-
struction, and then:
9 l(x) ¼ aif
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