* Every quadratic Bézier curve is also a cubic Bézier curve, and more generally, every degree n Bézier curve is also a degree m curve for any m > n. In detail, a degree n curve with control points P < sub > 0 </ sub >, …, P < sub > n </ sub > is equivalent ( including the parametrization ) to the degree n + 1 curve with control points P '< sub > 0 </ sub >, …, P '< sub > n + 1 </ sub >, where.

Every space filling curve hits some points multiple times, and does not have a continuous inverse.

Every point on the Lorenz curve represents a statement like " the bottom 20 % of all households have 10 % of the total income.

Every study has found that instead of people's MBTI scores clustering around two opposite poles, such as intuition vs. sensation, with few people scoring in the middle, people's scores actually cluster around the middle of each scale in a bell curve.

Every Edwards curve with a point of order 3 can be written in the ways shown above.

Every algebraic curve C of genus g ≥ 1 is associated with an abelian variety J of dimension g, by means of an analytic map of C into J.

Every closed curve c on X is homologous to for some simple closed curves c < sub > i </ sub >, that is,

Every minimal projective ruled surface other than the projective plane is the projective bundle of a 2-dimensional vector bundle over some curve.

Every algebraic plane curve has a degree, which can be defined, in case of an algebraically closed field, as number of intersections of the curve with a generic line.

Every irreducible non-degenerate curve of degree is a rational normal curve.

Every plane that could fly was sent into the air.

Every hyperbola is congruent to the origin-centered East-West opening hyperbola sharing its same eccentricity ε ( its shape, or degree of " spread "), and is also congruent to the origin-centered North-South opening hyperbola with identical eccentricity ε — that is, it can be rotated so that it opens in the desired direction and can be translated ( rigidly moved in the plane ) so that it is centered at the origin.

Every atom across this plane has an individual set of emission cones .</ p > < p > Drawing the billions of overlapping cones is impossible, so this is a simplified diagram showing the extents of all the emission cones combined.

Every vibrating object tends to maintain its plane of vibration if its support is rotated, a result of Newton's first law.

Every outerplanar graph can be represented as an intersection graph of axis-aligned rectangles in the plane, so outerplanar graphs have boxicity at most two.

Every improper rotation of three-dimensional Euclidean space is rotation followed by a reflection in a plane through the origin.

Every smooth surface S has a unique affine plane tangent to it at each point.

* Every triangle group T is a discrete subgroup of the isometry group of the sphere ( when T is finite ), the Euclidean plane ( when T has a Z + Z subgroup of finite index ), or the hyperbolic plane.

Every plane travelling to and from Europe or North America must talk to either or both of these air traffic controls ( ATC ).

Every planar graph has a flat and linkless embedding: simply embed the graph into a plane and embed the plane into space.

Every detail of these patterns acts as a consistent portal to a different kingdom inside the plane, which itself comprises many separate realms.

Every point in the plane has at least one tangent line to γ passing through it, and so region filled by the tangent lines is the whole plane.

Every detail of these patterns acts as a consistent portal to a different kingdom inside the plane, which itself comprises many separate realms.

Every set of points in the plane, and the lines connecting them, may be abstracted as the elements and flats of a rank-3 oriented matroid.

Every second-order linear ODE on the extended complex plane with at most four regular singular points, such as the Lamé equation or the hypergeometric differential equation, can be transformed into this equation by a change of variable.

Every plane B that is completely orthogonalTwo flat subspaces S < sub > 1 </ sub > and S < sub > 2 </ sub > of dimensions M and N of a Euclidean space S of at least M + N dimensions are called completely orthogonal if every line in S1 is orthogonal to every line in S2.

Every planar graph has an algebraic dual, which is in general not unique ( any dual defined by a plane embedding will do ).

While he admits the existence of caste-based discrimination, he writes that " Every social group cannot be regarded as a race simply because we want to protect it against prejudice and discrimination ".

* Every connected graph G admits a spanning tree, which is a tree that contains every vertex of G and whose edges are edges of G.

* Every connected graph with only countably many vertices admits a normal spanning tree.

Every vector bundle admits a connection.

Every year the department admits students for it M. A / MSc., M. Phil and Ph. D courses.

Every year, the college admits 200 students to the undergraduate ( MBBS ) course.

Every pp-wave admits many different Brinkmann charts.

Every year in January and April, the school admits pupils aged 13 in Grade 7 ( known as D-form ) and aged 14 in Grade 8 ( C-form ) respectively.

Every convex centrally symmetric polyhedron P in R < sup > 3 </ sup > admits a pair of opposite ( antipodal ) points and a path of length L joining them and lying on the boundary ∂ P of P, satisfying

Every ( almost ) complex manifold admits a Hermitian metric.

If nothing else, at least two good songs came out of the project, `` Out Of This World '' and `` June Comes Around Every Year ''.

Every few minutes she would awaken for a moment to review things: Stowey, yes, was on his way south, and the two boys were away in school, and nothing was burning on the stove, and Lucretia was coming for dinner and bringing three guests of hers.

Every calculation has been made independently by two workers and checked by one of the editors.

Every yacht should carry at least two anchors – the main or bower anchor and a second lighter kedge anchor.

Every year both clubs play the " Klassieker " (" The Classic "), a derby match between the teams from the two largest cities of the Netherlands.

Every cleric in Holy Orders and every member of a religious order must publicly join in or privately read aloud ( i. e. using the lips as well as the eyes — it takes about two hours in this way ) the whole of the Breviary services allotted for each day.

Every two years the meeting is held in a different member state, and is chaired by that nation's respective Prime Minister or President, who becomes the Commonwealth Chairperson-in-Office.

Every tile belongs to the two suits of its two values, e. g. 0 – 3 belongs both to the blank suit ( or 0 suit ) and to the 3 suit.

Every two equivalence classes and are either equal or disjoint.

* Every group G acts on G, i. e. in two natural but essentially different ways:, or.

Wanting to capitalize on the countries aviation craze, Fox immediately bought Hawks's original story for The Air Circus, a variation of the male friendship plot of A Girl in Every Port about two young pilots.

Every two months IMU publishes an electronic newsletter, IMU-Net, that aims to improve communication between IMU and the worldwide mathematical community by reporting on decisions and recommendations of the Union, major international mathematical events and developments, and on other topics of general mathematical interest.

Every individual style of jazz dance has roots traceable to one of these two distinct origins.

Every library module has at least two source files: a definitions file specifying the library's interface plus one or more program files specifying the implementation of the procedures in the interface.

Every night, all human dreams are played out in Nightopia and Nightmare, the two parts of the dream world.

Every party committee and party organizational department, from the all-union level in Moscow to the district and city levels, prepared two lists according to their needs.

Every ridge arises as the intersection of two facets ( but the intersection of two facets need not be a ridge ).

He proceeds from two premises: “ Every crime includes an injury: every injury includes a violation of a right .” ( Lectures, III, ii.

Every match must be assigned a rule keeper known as a referee, who is the final arbitrator ( In multi-man lucha libre matches, two referees are used, one inside the ring and one outside ).

The revised edition of Robyn was released in the UK in April 2007, and contains two new tracks —" With Every Heartbeat " ( a collaboration with Kleerup ) and " Cobrastyle " ( a cover of a 2006 single by Swedish rockers Teddybears )— alongside slightly altered versions of two of the original songs.

Every six months, the Council elects two Captains Regent to be the heads of state.

Every positive number a has two square roots:, which is positive, and, which is negative.