Page "Polytope" ¶ 10
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## Some Related Sentences

Every and ridge
Every day ( Japanese permitting ) at pre – arranged times, the Radio Operator ( with escorts ) climbed to a high vantage point, usually necessitating a gruelling climb to the top of some slippery, high, jungle-clad ridge, and sent the latest intelligence information and the group's supply requests etc., and received further orders in return.

Every and arises
Every associative R-algebra arises this way.
Every monad arises from some adjunction — in fact, typically from many adjunctions — in the above fashion.
Every time reasonable suspicion arises, the police are obliged to intervene under a zero tolerance strategy even though mere police intuition is legally insufficient.
Every great Culture begins with a religious trend that arises in the countryside, is carried through to the cultural cities, and ends in materialism in the world-cities.
Every integer 2g ' 2g matrix with < sup >*</ sup > arises as the Seifert matrix of a knot with genus g Seifert surface.

Every and intersection
Every subset A of the vector space is contained within a smallest convex set ( called the convex hull of A ), namely the intersection of all convex sets containing A.
Every non-empty intersection of a 3-sphere with a three-dimensional hyperplane is a 2-sphere ( unless the hyperplane is tangent to the 3-sphere, in which case the intersection is a single point ).
* Every intersection of countably many dense open sets is dense.
* Every non-empty Baire space is of second category in itself, and every intersection of countably many dense open subsets of X is non-empty, but the converse of neither of these is true, as is shown by the topological disjoint sum of the rationals and the unit interval 1.
Every outerplanar graph is a circle graph, the intersection graph of a set of chords of a circle.
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 intersection with a state or US Highway on US 24 from the Indiana state line to I-475 at Toledo will be an interchange.
# Every local complete intersection ring is Gorenstein.
# Every regular local ring is a complete intersection ring, so is Gorenstein.
Every other interchange with major roads along the route ( Toorak, Burke, Tooronga and Warrigal Roads ) was an at-grade intersection controlled by traffic-lights, and because the road was constructed through residential areas, reduced speed limits were also enforced.

Every and two
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.
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.

Every and need
Every single instance of altruistic behavior need not always increase inclusive fitness ; altruistic behaviors would have been selected for if such behaviors on average increased inclusive fitness in the ancestral environment.
Every compact metric space is complete, though complete spaces need not be compact.
" More immediately, though, he called for a massive build-up of U. S. arms production: " Every realist knows that the democratic way of life is at this moment being ' directly assailed in every part of the world … The need of the moment is that our actions and our policy should be devoted primarily — almost exclusively — to meeting this foreign peril.
Every bullet diameter, and most of the bullet types, need special dies, making swaging a rather investition-intensive enterprise.
* Every compact Hausdorff space of weight at most ( see Aleph number ) is the continuous image of ( this does not need the continuum hypothesis, but is less interesting in its absence ).
Every Table containing one whole leaf, whereunto you need no other circumstances.
Every 5 years the JNCC coordinates a compulsory review of schedules 5 and 8 to add new species that may need protection ( Legislation. gov. uk, 2010 ).
* Every citizen is required to learn skills, such as husbandry, which they might need to help them survive if they happen to be among the last human beings in Britain.
Every satisfaction of a need can cause antagonism and make it more difficult for people to accept each other as human beings.
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.
Every Wu army was in need of administrative support.
: Every time I need you mama, lord I always find you ’ re gone
: Every time I need you mama, lord I always find you ’ re gone
Every church is required to celebrate the Eucharist at least once a week, and to practice open communion, meaning that recipients need not be a member of the MCC or any other church to receive the Eucharist.
Every year, Soulpepper commits to providing collaborative arts programs to a selection of schools in need of arts programming.
:“ Every chapter, every paragraph in this book will offend or amuse some patriotic or esoteric soul: the orthodox Jew will need all his ancestral patience to forgive the pages on Yahveh ; the metaphysical Hindu will mourn this superficial scratching of Indian philosophy ; The Chinese or Japanese sage will smile indulgently at these brief and inadequate selections from the wealth of Far Eastern literature and thought.
Every vein of mine has become taut like a wire ; the ( Hindu ) girdle I do not need.
Every year a number of kloofers get injured or need rescue and hence kloofers need to take great care and preferably be accompanied by an experienced kloofer.
" Every man has a right to enter the Republic, exit it, travel through its territory, and change his residence without the need of a security card, passport, or any similar device.
Every Biscayne or Guipuscoan was born into the hidalgo ( gentry ); they were excluded from torture and the need to serve in the army.
# Every experiment should be performed under circumstances that would provide the clearest possible results, thereby diminishing the need for repetition of experiments.
Every 6 months Stucco holds massive social events that act as fundraisers for issues and groups that are seen as in need by the co-operative members.
Every need there is met through genetic engineering, psionics, and super-science in harmony with Nature.

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