For it had been John and Linda ever since she had come out two seasons before at the Golf Club to the goggle-eyed admiration not only of the stag line but even of her fellow debs.

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.

For example, a 3 kHz band can carry a telephone conversation whether that band is at baseband ( as in your POTS telephone line ) or modulated to some higher frequency.

For example, the " inventory " account asset account might be changed to bring them into line with the actual numbers counted during a stock take.

For example, many commercial contracts are more economically efficient, and create greater wealth, because the parties know ahead of time that the proposed arrangement, though perhaps close to the line, is almost certainly legal.

For this reason, some theorists have argued that consequentialist theories can only require agents to choose the best action in line with what they know about the situation.

For instance, basketball legend, Michael Jordan became an active entrepreneur involved with many sports related ventures including investing a minority stake in the Charlotte Bobcats, Paul Newman started his own salad dressing business after leaving behind a distinguished acting career, or rap musician, Birdman started his own record label, clothing line, and an oil business.

For example, the Marx Brothers ' classic film Duck Soup, at the climax of the film, the camera shows a shot of Groucho Marx speaking a line, followed by a shot of something else happening, followed by another shot of Groucho.

For instance, any continuous function defined on a compact space into an ordered set ( with the order topology ) such as the real line is bounded.

For example, the real line equipped with the discrete topology is closed and bounded but not compact, as the collection of all singleton points of the space is an open cover which admits no finite subcover.

For instance prior to 1914 most officers of British cavalry regiments came from a socially privileged background and the considerable expenses associated with their role generally required private means, even after it became possible for officers of the line infantry regiments to live on their pay.

For example, a point-of-foul infraction committed by the defence in their end zone is not ruled a touchdown, but instead advances the ball to the one-yard line with an automatic first down.

For a distance penalty, if the yardage is greater than half the distance to the goal line, then the ball is advanced half the distance to the goal line, though only up to the one-yard line ( unlike American football, in Canadian football no scrimmage may start inside either one-yard line ).

For some subjects a numerical geographical subdivision follows the classification letters on the first line.

For example, if a diagonal line with a width smaller than a full pixel must be rendered, then this can be done by lighting only the subpixels that the line actually touches.

For a given point P, a line is drawn through P perpendicular to the x-axis to meet it at X and second line is drawn through P perpendicular to the y-axis to meet it at Y.

For an edge type, b is perpendicular to the dislocation line, whereas in the cases of the screw type it is parallel.

For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point.

For example, the following line from the Aeneid ( VIII. 596 ) describes the movement of rushing horses and how " a hoof shakes the crumbling field with a galloping sound ":

For a set of points on the same line there is no Delaunay triangulation ( the notion of triangulation is degenerate for this case ).

For the convenience of guests bundle centers have been established throughout the city and suburbs where the donations may be deposited between now and the date of the big event.

For example, bundle theory regards an apple as red, four inches ( 100 mm ) wide, and juicy but lacking an underlying substance.

For example, the bundle theory says that ultimately, properties and bundles thereof exist, rather than objects.

For a de Broglie – Bohm theory on curved space with spin, the spin space becomes a vector bundle over configuration space and the potential in Schrödinger's equation becomes a local self-adjoint operator acting on that space.

For the resulting vector field to be a spray ( on the deleted tangent bundle TM

For example, a framework called would be implemented in a bundle called, with being either the dynamically linked library file or being a symlink to the dynamically linked library file in.

For example, severing the corpus callosum ( the bundle of nerves that connects the two hemispheres of the brain ) was at one time a treatment for some forms of epilepsy.

For example, as a result X is always an orientable manifold ( meaning that the tangent bundle of X is an orientable vector bundle ).

For instance, a Koszul connection in a vector bundle also allows for the parallel transport of vectors in much the same way as with a covariant derivative.

For this, we need the following fact: the first Chern class of a trivial bundle is zero, i. e.,

For example, a bundle file for v3. 4 / 155053 ( T-Mobile Sidekick 3 ) would be denied installation on a v3. 3 / 149695 device ( T-Mobile Sidekick iD ).

For example, any open cover of a metric space has a locally finite refinement, so any bundle over such a space is a fibration.

For example a curve in the plane having a tangent line at each point determines a varying line: the tangent bundle is a way of organising these.

Heuristically, if we have a space M for which each point m ∈ M corresponds to an algebro-geometric object U < sub > m </ sub >, then we can assemble these objects into a topological family U over M. ( For example, the Grassmanian G ( k, V ) carries a rank k bundle whose fiber at any point ∈ G ( k, V ) is simply the linear subspace L ⊂ V .) We say that such a family is universal if any family of algebro-geometric objects T over any base space B is the pullback of U along a unique map B → M. A fine moduli space is a space M which is the base of a universal family.

The prime mechanism then appeared to be this: Given a space X carrying a vector bundle, that implied in the homotopy category a mapping from X to a classifying space BG, for the relevant linear group G. For the homotopy theory the relevant information is carried by compact subgroups such as the orthogonal groups and unitary groups of G. Once the cohomology H *( BG ) was calculated, once and for all, the contravariance property of cohomology meant that characteristic classes for the bundle would be defined in H *( X ) in the same dimensions.

For this reason it is sometimes called the tangent frame bundle.

For example, when E is a vector bundle a section of E is an element of the vector space E < sub > x </ sub > lying over each point x ∈ B.

For example, a principal bundle has a global section if and only if it is trivial.

For example, in the codimension 1 case, we can define the tangent bundle of the foliation as, for some ( non-canonical ) ( i. e. a non-zero co-vector field ).

For points in the plane or on an algebraic curve, the notion of general position is made algebraically precise by the notion of a regular divisor, and is measured by the vanishing of the higher sheaf cohomology groups of the associated line bundle ( formally, invertible sheaf ).

For instance, in the example above, if an individual had an atrial rate of 300 beats per minute, the accessory bundle may conduct all the electrical impulses from the atria to the ventricles, causing the ventricles to contract at 300 beats per minute.

For example, up to vector bundle isomorphism, there is a unique nontrivial rank 10 vector bundle over the 9-sphere.