* 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.

Formulae connecting a tangential angle, the angle anchored at the ellipse's center ( called also the polar angle from the ellipse center ), and the parametric angle t < ref > If the ellipse is illustrated as a meridional one for the earth, the tangential angle is equal to geodetic latitude, the angle is the geocentric latitude, and parametric angle t is a parametric ( or reduced ) latitude of auxiliary circle </ ref > are:

If one measures by arc length one finds that the shortest path connecting two points lying entirely in the sphere is a segment of the great circle containing the points ; see geodesic.

If both are high or both are low the control system knows that something is wrong with the sensor or connecting wiring.

If a link connecting a leaf fails, that leaf is isolated ; if a connection to a non-leaf node fails, an entire section of the network becomes isolated from the rest.

If n is even there are n / 2 axes of symmetry connecting the midpoints of opposite sides and n / 2 axes of symmetry connecting opposite vertices.

If the boxer is just a beginner, a minimal training routine might consist of learning how to hit the heavy bag, the speed bag, and the double end bag ( a small bag with a cord on top and bottom connecting it to the floor and ceiling ) as well as doing shadowboxing in front of a mirror, skipping rope, calisthenics and jogging every day, as well as an occasional practice bout inside the ring ( sparring ).

If this development goes ahead, High Bridge Road connecting Parkway and Springfield Road would be demolished along with the adjacent gasometers and a new central link road would be built.

If there was, it would illuminate a red LED on the device so the consumer would know it was worth connecting to pick up their mail.

If there are dependent sources in the circuit, another method must be used such as connecting a test source across A and B and calculating the voltage across or current through the test source.

If no other cars are blocking, a driver may perform a " pullthrough " by driving through one parking space into the connecting space to avoid having to reverse out of a parking space upon their return.

If, when a vertex is colored, there exists an edge connecting it to a previously-colored vertex with the same color, then this edge together with the paths in the breadth-first search tree connecting its two endpoints to their lowest common ancestor forms an odd cycle.

If c < sub > 1 </ sub > ∈ C is another pre-image of x in C then the subgroups p < sub >#</ sub > ( π < sub > 1 </ sub >( C, c )) and p < sub >#</ sub > ( π < sub > 1 </ sub >( C, c < sub > 1 </ sub >)) are conjugate in π < sub > 1 </ sub >( X, x ) by p-image of a curve in C connecting c to c < sub > 1 </ sub >.

If the chairlift stops suddenly ( as from use of the system emergency brake ), the carrier's arm connecting to the grip pivots smoothly forward — driven by the chair's inertia — and maintains friction ( and seating angle ) between the seat and passenger.

If the Snood lands adjacent to two or more Snoods of the same color, all connecting Snoods of that color vanish and any pieces left unattached beneath the vanished Snoods drop down.

If a connecting client, in place of an HTTP request, writes the string "< tt > FLAPON </ tt >" followed by two CRLFs, TOC would switch gears and start reading FLAP messages.

If Poland lost the vote, the corridor would go to Germany and the seaport of Gdynia would become a Polish exclave with a route connecting Poland with Gdynia.

If the modeled variables have not been standardized, an additional rule allows the expected covariances to be calculated as long as no paths exist connecting dependent variables to other dependent variables.

If G is connected, it contains a path connecting any two of its edges, which translates into a path in L ( G ) containing any two of the vertices of L ( G ).

If such a partition exists, we can recover the original graph for which G is a line graph, by creating a vertex for each clique, and connecting two cliques by an edge whenever G contains a vertex belonging to both cliques.

If he still felt offended, Thayer may have steered later comments away from connecting Kelly to it.

If a graph has a linkless or flat embedding, then modifying the graph by subdividing or unsubdividing its edges, adding or removing multiple edges between the same pair of points, and performing Y-Δ transforms that replace a degree-three vertex by a triangle connecting its three neighbors or the reverse all preserve flatness and linklessness.

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

If we live on a brane ( as hypothesized by some theorists ) this " leakage " of gravitons from the brane into higher-dimensional space could explain why gravitation is such a weak force, and gravitons from other branes adjacent to our own could provide a potential explanation for dark matter.

If several samples have been loaded into adjacent wells in the gel, they will run parallel in individual lanes.

If neither player had won by the tenth turn, subsequent turns consisted of moving one of one's own tokens to the remaining empty hole, with the constraint that this move could only be from an adjacent hole.

If the Nyquist sampling condition is not satisfied, adjacent copies overlap, and it is not possible in general to discern an unambiguous X ( f ).

If neglected, over time they can cause problems by moving into adjacent areas.

If two triangles satisfy the SSA condition and the length of the side opposite the angle is greater than or equal to the length of the adjacent side, then the two triangles are congruent.

If two triangles satisfy the SSA condition and the corresponding angles are acute and the length of the side opposite the angle is equal to the length of the adjacent side multiplied by the sine of the angle, then the two triangles are congruent.

If two triangles satisfy the SSA condition and the corresponding angles are acute and the length of the side opposite the angle is greater than the length of the adjacent side multiplied by the sine of the angle ( but less than the length of the adjacent side ), then the two triangles cannot be shown to be congruent.

If taking the time-series and skipping past n − 1 samples a new ( shorter ) time-series would occur with τ < sub > 0 </ sub > as the time between the adjacent samples, for which the Allan variance could be calculated with the simple estimators.

If a simple pendulum is suspended from the cusp of an inverted cycloid, such that the " string " is constrained between the adjacent arcs of the cycloid, and the pendulum's length is equal to that of half the arc length of the cycloid ( i. e. twice the diameter of the generating circle ), the bob of the pendulum also traces a cycloid path.

If they begin adjacent to a piece ( regardless if friendly or foe ), they can push or pull it by 1 square.

If the corner refuses to open, move to an adjacent corner and keep flexing.

Dick Conner, who owns a flower shop adjacent to the proposed mosque, complained to the media that, " If the neighbor was a Baptist church it might be different ".

The building still stands and was featured on HGTV's " If These Walls Could Talk " along with the historic Plainsboro Inn building ( circa 1790 ) which was built adjacent to " Planes Tavern " at Plainsboro Road and Dey Road.

If the " opposite " side has length x − 4 and the " adjacent " side has length 3, then the Pythagorean theorem tells us that the hypotenuse has length √(( x − 4 )< sup > 2 </ sup > + 3 < sup > 2 </ sup >)

If a fire catches, it could spread, taking in adjacent buildings that would have been largely unaffected by a high explosive bomb.

If G is a connected graph with infinitely many vertices such that every vertex has finite degree ( that is, each vertex is adjacent to only finitely many other vertices ) then G contains an infinitely long simple path, that is, a path with no repeated vertices.

If the arrow is extinguished for any reason, whether by malfunction or design, traffic through the continuous lane will revert to the normal traffic pattern for adjacent lanes, except that turning or moving into or out of the restricted lane is still prohibited.

If the peak velocity of the saccade ( height of the peak of the curve ) is at least as large as the angular velocity of the adjacent track, there will be at least one point in which the velocity of the eye is the same as the velocity of the track.

If the area is subsequently uplifted due to adjacent orogenic processes, without internal deformation within the peneplain, the streams will again begin downward erosion-creating incised meanders, water gaps, and other unique geomorphic features.

If and are two adjacent IDs, with as shorter clockwise distance from to, then the node with ID owns all the keys that fall between and.

The modern Château d ' If maintains adjacent cells named after Dantès and Faria as a tourist attraction.