* If a circle passing through two of the input points doesn't contain any other of them in its interior, then the segment connecting the two points is an edge of a Delaunay triangulation of the given points.

If two triangles do not meet the Delaunay condition, switching the common edge BD for the common edge AC produces two triangles that do meet the Delaunay condition:

If there is an edge from a vertex x to a vertex y, then the element is 1 ( or in general the number of xy edges ), otherwise it is 0.

If heaven is a state of supernatural happiness and union with God, and hell is understood as a state of torture and separation from God then, in this view, the Limbo of Infants, although technically part of hell ( the outermost part, " limbo " meaning " outer edge " or " hem ") is seen as a sort of intermediate state.

If the user has built up a substantial charge, the discharge can jump around the door's edge or pass through the door itself ( dielectric breakdown ).

( If the graph has no weights, 1 indicates an edge, 0 indicates no edge.

If the original rhombicuboctahedron has unit edge length, its dual strombic icositetrahedron has edge lengths

If a pushwall exits the boundaries of the level, the game quits with the error message " PushWall Attempting to escape off the edge of the map ".

If no path exists between two cities, adding an arbitrarily long edge will complete the graph without affecting the optimal tour.

If a feature was intended to be located from the center of the part, the operator needs to locate it from the center of the model, not, perhaps, from a more convenient edge or an arbitrary point, as he could when using " dumb " solids.

If an ant were to crawl along the length of this strip, it would return to its starting point having traversed the entire length of the strip ( on both sides of the original paper ) without ever crossing an edge.

If the strip is cut along about a third of the way in from the edge, it creates two strips: One is a thinner Möbius strip — it is the center third of the original strip, comprising 1 / 3 of the width and the same length as the original strip.

If this theory is correct, then the transition to a conductive state could be explained by a rearrangement at the pore edge, in which the lipid heads fold over to create a hydrophilic interface.

If each edge has a distinct weight then there will be only one, unique minimum spanning tree.

If the edge weights are not unique, only the ( multi -) set of weights in minimum spanning trees is unique, that is the same for all minimum spanning trees.

If the cross-section of the circular object deviates slightly from its circular shape ( but it still has a sharp edge on a smaller scale ) the shape of the point-source Arago spot changes.

If Halley was once a long-period comet, it is likely to have originated in the Oort Cloud, a sphere of cometary bodies that has an inner edge of 20, 000 – 50, 000 AU.

If its leading edge is raked back enough, it will escape the shock wave formed at the nose of the aircraft as transonic speeds are reached, reducing drag considerably, and the center of lift moves less than on conventionally configured aircraft, reducing trim drag.

If the point is outside the edge, the point is removed.

If they want to score they will have to try and risk an edge to a wide ball and hit through the packed off side, or trying and drag the ball from far outside the stumps to the sparsely-populated leg side.

If the gust front, or leading edge of the outflow boundary, races ahead of the thunderstorm, its motion will accelerate in tandem.

`` If William agrees, we should insist on a public debate '', he said at length.

If, in a certain part of the range, it starts life 1 foot longer than do any of the other ( relatively large ) giants, and reaches maturity at, let us guess, 18 inches longer than the others, a quadrupling of the maturity length would result in a maximum of ( nearly ) 40 feet.

If T is the total `` length '' of the process, its feed state may be denoted by a vector p(T) and the product state by p(Q).

* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =

If a description of s, d ( s ), is of minimal length ( i. e. it uses the fewest number of characters ), it is called a minimal description of s. Thus, the length of d ( s ) ( i. e. the number of characters in the description ) is the Kolmogorov complexity of s, written K ( s ).

If the square mile is divided into quarters, each quarter has a side length of mile ( 880 yards ) and is square mile in area, or 160 acres.

If the sets are short to medium length the caller will often try to run the dance until each couple has danced with every other couple both as a 1 and a 2 and returned to where they started.

If numerical iterative methods have to be employed, the aim is to iterate until full machine accuracy is obtained ( the best that is possible with a finite word length on the computer, and within the mathematical and / or physical approximations made ).

If the cannon is bronze, it will often have a vent piece made of copper screwed into the length of the vent.

If the weight of the roadway per unit length is w and the weight of the cable and the wire supporting the bridge is negligible in comparison, then the weight on the cable from c to r is wx where x is the horizontal distance between c to r. Proceeding as before gives the differential equation

If, for the same focal length setting, the subject distance is adjusted to provide the same field of view at the subject, at the same f-number and final-image size, the smaller format has greater DOF, as with the “ same picture ” comparison above.

If pictures are taken from the same distance using the same f-number, same focal length, and the final images are the same size, the smaller format has less DOF.

If pictures taken from the same subject distance using the same focal length, are given the same enlargement, both final images will have the same DOF.

If no bulk flow occurs in an element of length dx, the rates of diffusion of two gases A and B must be equal and opposite, that is.

If we draw an ellipse twice as long as it is wide, and draw the circle centered at the ellipse's center with diameter equal to the ellipse's longer axis, then on any line parallel to the shorter axis the length within the circle is twice the length within the ellipse.

If is time-dependent, the diffusion length becomes.

If the symbol width is n, the codes of width n + 1 fall naturally into two blocks: the lower block of 2 < sup > n </ sup > codes for coding single symbols, and the upper block of 2 < sup > n </ sup > codes that will be used by the decoder for sequences of length greater than one.

If the length of the intervals on the x-axis are all 1, then a histogram is identical to a relative frequency plot.

If the reloaded cartridges are going to be used in the same firearm in which they were previously fired, though, and if that firearm has a bolt action or other action with a strong camming action on closing, then full length resizing may not be needed.

# If A is a cartesian product of intervals I < sub > 1 </ sub > × I < sub > 2 </ sub > × ... × I < sub > n </ sub >, then A is Lebesgue measurable and Here, | I | denotes the length of the interval I.

If two quarks have unaligned spins, the spin vectors add up to make a vector of length S = 0 and only one spin projection ( S < sub > z </ sub > = 0 ), called the spin-0 singlet.

: If a person traveling with a yardstick, measures the length of such yardstick, the physical quantity of length would be written as