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Any convex polyhedron's surface has Euler characteristic
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Any and convex
Any convex polyhedron can be distorted into a canonical form, in which a midsphere ( or intersphere ) exists tangent to every edge, such that the average position of these points is the center of the sphere, and this form is unique up to congruences.
* Any linear function is both concave and convex.
Any n-sided polygon ( n ≥ 3 ), convex or concave, has
Any four exterior vertices determine a cyclic quadrilateral, and all cyclic quadrilaterals are convex quadrilaterals, so each set of four exterior vertices have exactly one point of intersection formed by their diagonals ( chords ).
* Any convex set can be described as the ( possibly infinite ) intersection of half-spaces.
Any action of the group by continuous affine transformations on a compact convex subset of a ( separable ) locally convex topological vector space has a fixed point.
Any collection of finitely many lines partitions the plane into convex polygons ( possibly unbounded ); this partition is known as an arrangement of lines.
Any fold whose form is convex upward is an antiform.
Any convex optimization problem can be transformed into minimizing ( or maximizing ) a linear function over a convex set.
Any centrally symmetric convex body of surface area A can be squeezed through a noose of length, with the tightest fit achieved by a sphere.
Any set of five points in the plane in general position has a subset of four points that form the vertices of a convex quadrilateral.
Any and surface
Any differential area with normal vector of a given internal surface area, bounding a portion of the body, experiences a contact force arising from the contact between both portions of the body on each side of, and it is given by
Any accelerating electric charge, and therefore any changing electric current, gives rise to an electromagnetic wave that propagates at very high speed outside the surface of the conductor.
Any rain falling on the above-water rim quickly percolates through the surface sand and encounters the salt water underneath.
Any perfect conductor will prevent any change to magnetic flux passing through its surface due to ordinary electromagnetic induction at zero resistance.
Any surface contamination, notably the oil from human fingertips, can damage the quartz envelope when it is heated.
Any non-singular curve on a smooth surface will have its tangent vector T lying in the tangent plane of the surface orthogonal
# Any nonspecific binding sites on the surface are blocked.
Note that for orientable compact surfaces without boundary, the Euler characteristic equals, where is the genus of the surface: Any orientable compact surface without boundary is topologically equivalent to a sphere with some handles attached, and counts the number of handles.
Any object that is stationary with respect to the surface of the Earth is actually following a circular trajectory, circumnavigating the Earth's axis.
Any planar cross section passing through the center of an ellipsoid forms an ellipse on its surface: this degenerates to a circle for sections normal to the symmetry axis of an ellipsoid of revolution ( or all sections when the ellipsoid degenerates to a sphere.
Any broad, flat surface waved back-and-forth will create a small airflow and therefore can be considered a rudimentary fan.
Any further oil migrating in from the source will escape to the surface and seep.
Any contact between fluid and the surface that may be seen probably leads to the extremely rapid nucleation of a fresh vapor layer (" spontaneous nucleation ").
Any surface has a triangulation: a decomposition into triangles such that each edge on a triangle is glued to at most one other edge.
Any tangent vector at a point of the parametric surface M can be written in the form
* Any diving where the surface of the water immediately above the diver is in contact with the Earth's atmosphere.
Any surplus stem is cut away and the surface leaves that are loosened by this cutting are peeled and discarded.
Any coated surface is susceptible to scratching.
Any compact orientable surface and any compact surface with non-empty boundary embeds in though any closed non-orientable surface needs.
Any remaining toner, that did not transfer in Step 6, is removed from the drum surface by a rotating brush under suction, or a squeegee known as the cleaning blade.
Any and has
Any tragedy, he maintains, has six elements: plot, character, and thought ( the objects of imitation ), diction and melody ( the means of imitation ), and spectacle ( the manner of imitation ).
Any street meeting, sacred or secular, which he and his colleagues uneasily cover has as its explicit or implicit burden the cruelty and injustice of the white domination.
Any string s has at least one description, namely the program:
Any player may declare the game over at any time during his turn if either of two conditions is true: one chain has 41 or more tiles, or there is at least one chain on the board and every chain on the board has 11 or more tiles.
Any individual has one of six possible genotypes ( AA, AO, BB, BO, AB, and OO ) that produce one of four possible phenotypes: " A " ( produced by AA homozygous and AO heterozygous genotypes ), " B " ( produced by BB homozygous and BO heterozygous genotypes ), " AB " heterozygotes, and " O " homozygotes.
Any Banach algebra ( whether it has an identity element or not ) can be embedded isometrically into a unital Banach algebra so as to form a closed ideal of.
# Any collection of closed subsets of X with the finite intersection property has nonempty intersection.
Any young player who has good control will become a successful curve pitcher long before the pitcher who is endeavoring to master both curves and control at the same time.
Any use of the term " Cathar " to refer to people after the suppression of Catharism in the 14th century is a cultural or ancestral reference, and has no religious implication.
Any rational number with a denominator whose only prime factors are 2 and / or 5 may be precisely expressed as a decimal fraction and has a finite decimal expansion.
Any configuration of charges or currents has a ' dipole moment ', which describes the dipole whose field is the best approximation, at large distances, to that of the given configuration.
Any such poset has a dual poset.
:* Any total order on X has exactly one equivalence class, X itself, because x ~ y for all x and y ;
:* Any subset of the identity relation on X has equivalence classes that are the singletons of X.
# Disturbed natural forest – Any forest type above that has in its interior significant areas of disturbance by people, including clearing, felling for wood extraction, anthropogenic fires, road construction, etc.
# Disturbed natural forest – Any forest type above that has in its interior significant areas of disturbance by people, including clearing, felling for wood extraction, anthropogenic fires, road construction, etc.
Any symbolism has been added later to the three colours, although the orange comes from the House of Orange-Nassau.
Any normal subgroup has a corresponding quotient group, formed from the larger group by eliminating the distinction between elements of the subgroup.
For instance, the Archbishop of Wales has criticized " atheistic fundamentalism " broadly and said " Any kind of fundamentalism, be it Biblical, atheistic or Islamic, is dangerous ".
Any attempt to define it ( X is good if it has property Y ) will simply shift the problem ( Why is Y-ness good in the first place?
Any right action has an equivalent left action, thus only left actions can be considered without any loss of generality.
Any one language has only a subset of the aspectual distinctions attested in the world's languages, and some languages ( such as Standard German ; see below ) do not have aspects.
In an inertial frame, Newton's first law ( the law of inertia ) is satisfied: Any free motion has a constant magnitude and direction.
Any conductor has inductance.
0.344 seconds.