If we grasp this orientation as a key, our national conduct in all of the events here mentioned becomes intelligible.

If is an outward pointing in-plane normal, whereas is the unit vector perpendicular to the plane ( see caption at right ), then the orientation of C is chosen so that a tangent vector to C is positively oriented if and only if forms a positively oriented basis for R < sup > 3 </ sup > ( right-hand rule ).

If " hate speech " is taken to mean ethnic agitation, it is prohibited in Finland and defined in the section 11 of the penal code, War crimes and crimes against humanity, as publishing data, an opinion or other statement that threatens or insults a group on basis of race, nationality, ethnicity, religion or conviction, sexual orientation, disability, or any comparable basis.

If the meteoroid maintains a fixed orientation for some time, without tumbling, it may develop a conical " nose cone " or " heat shield " shape.

If we change the orientation of the surface element, the direction of the normal force changes accordingly, but the pressure remains the same.

If the engine must be operated in any orientation ( for example a chain saw ), a float chamber cannot work.

is conformal if and only if it is holomorphic and its derivative is everywhere non-zero on U. If f is antiholomorphic ( that is, the conjugate to a holomorphic function ), it still preserves angles, but it reverses their orientation.

If the object is long and straight, such as a water pipe, the rods will point in opposite directions, showing its orientation.

If Eta Carinae is a binary system, this may affect the future intensity and orientation of the supernova explosion that it produces, depending on the circumstances.

For example, The Encyclopedia of Christian Parenting recommended: " If your child develops an interest in TV star magazines or rock records, you may want to encourage a Christian orientation by giving Campus Life or Larry Norman, Randy Stonehill, or Barry McGuire records as gifts ".

If you change this example to then the analogy would be flying in space to reach any position in 3D space ( ignoring the orientation of the aircraft ).

In such studies, the person would be asked a question such as " If 0 is completely gay and 10 is completely hetero, what is your orientation number?

Prior to any measurements being made, the polarizations of the photons are indeterminate ; If a measurement is made on one of the photons using a two-channel polarizer aligned with the axes of the coordinate system, the photon assumes either horizontal or vertical polarization, with 50 % probability for each orientation, and the other two photons immediately assume the identical polarization.

If this is done in such a way that, when glued together, neighboring edges are pointing in the opposite direction, then this determines an orientation of the surface.

If the figure 20px can be consistently positioned at all points of the surface without turning into its mirror image, then this will induce an orientation in the above sense on each of the triangles of the triangulation by selecting the direction of each of the triangles based on the order red-green-blue of colors of any of the figures in the interior of the triangle.

" If this burial represents a transgendered individual ( as well it could ), that doesn't necessarily mean the person had a ' different sexual orientation ' and certainly doesn't mean that he would have considered himself ( or that his culture would have considered him ) ' homosexual ,'" anthropologist Kristina Killgrove commented.

( If they are not orientable the natural fibration by circles is not necessarily a Seifert fibration: the problem is that some fibers may " reverse orientation "; in other words their neighborhoods look like fibered solid Klein bottles rather than solid tori .< ref > Ronald Fintushel, Local S < sup > 1 </ sup > actions on 3-manifolds, Pacific J. o. M. 66 No1 ( 1976 ) 111-118, http :// projecteuclid. org /...) The classification of such ( oriented ) manifolds is given in the article on Seifert fiber spaces.

If you blow up an icosahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and do the same to its dual dodecahedron, and patch the square holes in the result, you get a rhombicosidodecahedron.

If we work on an oriented manifold of dimension 2n, then any product of Chern classes of total degree 2n can be paired with the orientation homology class ( or " integrated over the manifold ") to give an integer, a Chern number of the vector bundle.

If the level is accurate, it will indicate the same magnitude of orientation with respect to the horizontal plane.

If the result is 0, the points are collinear ; if it is positive, the three points constitute a " left turn " or counter-clockwise orientiation, otherwise a " right turn " or clockwise orientation.

If the overlayer either forms a random orientation with respect to the substrate or does not form an ordered overlayer, this is termed non-epitaxial growth.

If the overgrowth crystals have a similar orientation there is probably an epitaxic relationship, but it is not certain.

If at any point in time viewers / readers have high relevance and high uncertainty about any type of issue / event / election campaign there was a high need for orientation.

If we define tangent covectors in terms of equivalence classes of smooth maps vanishing at a point then the definition of the pullback is even more straightforward.

If the incident ray is precisely at the critical angle, the refracted ray is tangent to the boundary at the point of incidence.

If M is an open subset of R < sup > n </ sup >, then M is a C < sup >∞</ sup > manifold in a natural manner ( take the charts to be the identity maps ), and the tangent spaces are all naturally identified with R < sup > n </ sup >.

If the tangent space is defined via curves, the map is defined as

If instead the tangent space is defined via derivations, then

If the incircle is tangent to the hypotenuse AB at point P, then denoting the semi-perimeter as s, we have and, and the area is given by

If one considers the flux of the electric field vector, E, for a tube near a point charge in the field the charge but not containing it with sides formed by lines tangent to the field, the flux for the sides is zero and there is an equal and opposite flux at both ends of the tube.

If f ( x ) is a real-valued function and a and b are numbers with, then the mean value theorem says that under mild hypotheses, the slope between the two points ( a, f ( a )) and ( b, f ( b )) is equal to the slope of the tangent line to f at some point c between a and b. In other words,

If a curve keeps close to the same direction, the unit tangent vector changes very little and the curvature is small ; where the curve undergoes a tight turn, the curvature is large.

If the unit tangent rotates counterclockwise, then k > 0.

If such a collection of inner products on the tangent bundle of a manifold varies smoothly as one traverses the manifold, then concepts that were defined only pointwise at each tangent space can be extended to yield analogous notions over finite regions of the manifold.

If P is a common point of two plane algebraic curves X and Y that is a non-singular point of both of them and, moreover, the tangent lines to X and Y at P are distinct then the intersection multiplicity is one.

If the curves X and Y have a common tangent at P then the multiplicity is at least two.

If a surface does not have a tangent plane at a point, it does not have a normal at that point either.

If the normal is constructed as the cross product of tangent vectors ( as described in the text above ), it is a pseudovector.

If two tangent vectors are given

If U is an open contractible subset of M, then there is a diffeomorphism from TU to U × R < sup > n </ sup > which restricts to a linear isomorphism from each tangent space T < sub > x </ sub > U to

If there were a flux across a line, it would necessarily not be tangent to the flow, hence would not be a streamline.

If the line is tangent to the circle, there is one solution, and if the line intersects the circle in two places, there are two solutions.

If the discriminant is equal to 0, then there is a single solution, where the line is tangent to the circle.

It can be used to approximate the tangent to a curve, at some point P. If the secant to a curve is defined by two points, P and Q, with P fixed and Q variable, as Q approaches P along the curve, the direction of the secant approaches that of the tangent at P, ( assuming that the first-derivative of the curve is continuous at point P so that there is only one tangent ).