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Page "Rotations in 4-dimensional Euclidean space" ¶ 3
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Every and plane
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 immersed curve in the plane admits two possible orientations.
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 minimal projective ruled surface other than the projective plane is the projective bundle of a 2-dimensional vector bundle over some curve.
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 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 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 planar graph has an algebraic dual, which is in general not unique ( any dual defined by a plane embedding will do ).

Every and B
: Every non-empty set A contains an element B which is disjoint from A.
Every year, it invites entries of unpublished African-inspired stories written for an audience of 8 to 11-year-olds ( Category A ) or 12 to 15-year-olds ( Category B ) and by writers aged 18 or below ( the Rising Writer Prize ).
Every year since 1982, the W. C. Handy Music Festival is held in the Florence / Sheffield / Muscle Shoals area, featuring blues, jazz, country, gospel, rock music and R & B.
Every finite group of exponent n with m generators is a homomorphic image of B < sub > 0 </ sub >( m, n ).
The Pips recorded a second version of " Every Beat " with Bobby Robinson as the producer, and the song became a # 1 R & B and # 6 pop hit.
Every single that Bell produced for the Stylistics was a Top Ten R & B hit, and several —" You Are Everything ", " Betcha by Golly Wow!
" " Every Day " hit number two on the R & B charts, and sparked another LP — 1957 The Greatest!
Every other fret remains unaffected ( e. g. the 7th fret of an E-string will still play a B note for any capo position at or below the 7th fret ), and thus a performer does not need to adjust for or relearn the entire fretboard as they might with retuning.
B ' nai B ' rith also publishes program guides for local Jewish education programs and each year sponsors " Unto Every Person There is a Name ".
This means that A is not necessarily better than B, and B is not necessarily better than C. Every class is independent of the others.
Every degree of freedom in the energy is quadratic and, thus, should contribute k < sub > B </ sub > T to the total average energy, and k < sub > B </ sub > to the heat capacity.
* Every Borel set B ⊆ R < sup > n </ sup > is μ-measurable in the sense of Carathéodory's criterion: for every A ⊆ R < sup > n </ sup >,
* Every audience member had his or her own A / B / C / D keypad.
She appeared in Plaza Suite, Every Little Crook and Nanny, B. S.
* Stockham, Alice B Tokology: A Book for Every Woman, Sanitary Publishing Co., Illinois, 1886, with eight Color Plates in a sleeve inside the back cover.
Every other day, starting on the third day, the player can go after an A. P. B.
Every sequence of A, B, and C without immediate repetition of the same one is possible and gives an equally dense packing for spheres of a given radius.
B. Lippincott Company, but was reprinted once in 1959 by Pocket Books under the title Mr. Adam Was Wanted By Every Woman in the World.
Every weekend, the band would play the opening set for touring bands such as Earth, Wind and Fire, Stevie Wonder, James Brown and Kool & The Gang, and the charangueros became huge fans of both the music and stage shows of North American R & B.
Every injector they tested had detectable blood in a quantity sufficient to pass on a virus such as hepatitis B.
Every isogeny f: A → B is automatically a group homomorphism between the groups of k-valued points of A and B, for any field k over which f is defined.

Every and is
Every legislator from Brasstown Bald to Folkston is going to have his every vote subjected to the closest scrutiny as a test of his political allegiances, not his convictions.
Every detail in his interpretation has been beautifully thought out, and of these I would especially cite the delicious laendler touch the pianist brings to the fifth variation ( an obvious indication that he is playing with Viennese musicians ), and the gossamer shading throughout.
Every taxpayer is well aware of the vast size of our annual defense budget and most of our readers also realize that a large portion of these expenditures go for military electronics.
Every single problem touched on thus far is related to good marketing planning.
Every few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it is by ancient brick vaulting.
Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.
Every man in every one of these houses is a Night Rider.
Every library borrower, or at least those whose taste goes beyond the five-cent fiction rentals, knows what it is to hear the librarian say apologetically, `` I'm sorry, but we don't have that book.
Every community, if it is alive has a spirit, and that spirit is the center of its unity and identity.
The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.
** Every infinite game in which is a Borel subset of Baire space is determined.
Every natural-born citizen of a foreign state who is also an American citizen and every natural-born American citizen who is a citizen of a foreign land owes a double allegiance, one to the United States, and one to his homeland ( in the event of an immigrant becoming a citizen of the US ), or to his adopted land ( in the event of an emigrant natural born citizen of the US becoming a citizen of another nation ).
Every line of written text is a mere reflection of references from any of a multitude of traditions, or, as Barthes puts it, " the text is a tissue of quotations drawn from the innumerable centres of culture "; it is never original.
Every root of a polynomial equation whose coefficients are algebraic numbers is again algebraic.
* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =
Every year, on the last Sunday in April, there is an ice fishing competition in the frozen estuarine waters of the Anadyr River's mouth.
Every lattice element of the structure is in its proper place, whether it is a single atom or a molecular grouping.

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