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

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 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 time I closed my eyes, I saw Gray Eyes rushing at me with a knife.

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 Wednesday night through Oct. 11 there will be an elaborate colored fountain display, with 229 nozzles throwing jets of water up to 130 feet.

Every doll in the house must be going with her ''.

** Tukey's lemma: Every non-empty collection of finite character has a maximal element with respect to inclusion.

Every unit of length has a corresponding unit of area, namely the area of a square with the given side length.

* Revised Code of Washington 9. 12. 010: " Every person who brings on his or her own behalf, or instigates, incites, or encourages another to bring, any false suit at law or in equity in any court of this state, with intent thereby to distress or harass a defendant in the suit, or who serves or sends any paper or document purporting to be or resembling a judicial process, that is not in fact a judicial process, is guilty of a misdemeanor ; and in case the person offending is an attorney, he or she may, in addition thereto be disbarred from practicing law within this state.

Every Boolean algebra ( A, ∧, ∨) gives rise to a ring ( A, +, ·) by defining a + b := ( a ∧ ¬ b ) ∨ ( b ∧ ¬ a ) = ( a ∨ b ) ∧ ¬( a ∧ b ) ( this operation is called symmetric difference in the case of sets and XOR in the case of logic ) and a · b := a ∧ b. The zero element of this ring coincides with the 0 of the Boolean algebra ; the multiplicative identity element of the ring is the 1 of the Boolean algebra.

Every Hilbert space X is a Banach space because, by definition, a Hilbert space is complete with respect to the norm associated with its inner product, where a norm and an inner product are said to be associated if for all x ∈ X.

* 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 unital real Banach algebra with no zero divisors, and in which every principal ideal is closed, is isomorphic to the reals, the complexes, or the quaternions.

* Every commutative real unital Noetherian Banach algebra with no zero divisors is isomorphic to the real or complex numbers.

Every cladogram is based on a particular dataset that was analyzed with a particular method.

Every city expansion would imply a new circle ( canals together with town walls ).

Jimmy Hatlo's They'll Do It Every Time was often displayed in a two-panel format with the first panel showing some deceptive, pretentious, unwitting or scheming human behavior and the second panel revealing the truth of the situation.

Every year, the European Joint Conferences on Theory and Practice of Software ( ETAPS ) sponsors the International Conference on Compiler Construction ( CC ), with papers from both the academic and industrial sectors.

Every play is subject to booth review with coaches only having one challenge.

According to Every, one example may be " the myth of St. George " and other stories about saints battling dragons, which were " modelled no doubt in many cases on older representations of the creator and preserver of the world in combat with chaos ".

* Every three years since Earnhardt's death, someone associated with Earnhardt has won the Daytona 500 ( his son Dale Earnhardt, Jr. in 2004, Earnhardt's replacement Cup driver Kevin Harvick in 2007, and Earnhardt Ganassi's Jamie McMurray in 2010.

Every song they wrote was written with an eye toward giving it " deep hidden meaning " or D. H. M.

In Norse mythology, Draupnir ( Old Norse " the dripper ") is a gold ring possessed by the god Odin with the ability to multiply itself: Every ninth night eight new rings ' drip ' from Draupnir, each one of the same size and weight as the original.

Every system must have a class designated as " root ", with one of its creation procedures designated as " root procedure ".

Every year, hundreds of new titles are published in Esperanto along with music.

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 one of us has been passing through days of anxiety ; we cannot, however, feel that peace has been established, but that we have nothing but an armistice in a state of war.

Every six months the presidency rotates between the states, in an order predefined by the Council's members, allowing each state to preside over the body.

Every single thermodynamic system exists in a particular state.

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 state governor since Denver S. Dickerson has resided in the Governor's Mansion located in Carson City.

Every state maintains its own bar association, supervised by that state's highest court.

# Every type of state is a powerful institution of the ruling class ; the state is an instrument which one class uses to secure its rule and enforce its preferred production relations ( and its exploitation ) onto society.

Every state constitution has articles and provision guaranteeing individual rights.

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

Every sixth day ( 6th, 12th, 18th, 24th and 30th ) of the Gregorian Calendar was a state rest day.

Every state except Nebraska has a bicameral legislature, meaning that the legislature consists of two separate legislative chambers or houses.

Every destination in the topology table can be marked either as " Passive ", which is the state when the routing has stabilized and the router knows the route to the destination, or " Active " when the topology has changed and the router is in the process of ( actively ) updating its route to that destination.

Every member of the bands or tribes receiving a land allotment is subject to laws of the state or territory in which they reside.

Every Dutch citizen gets the AOW, a state pension, from age 65.

Every state had abortion legislation by 1900.

Every year Lawrence County hosts numerous events, including the Alabama Chicken and Egg Festival in Moulton, the AHSAA Cross Country state championships at the Oakville Indian Mounds, the Lawrence County Basketball Tournament in Moulton, and the Alabama Indian Festival at the Oakville Indian Mounds.

Every significant section of roadway maintained by the state is assigned a number, officially State Highway Route X but commonly called Route X by the NJDOT and the general public.

Every state highway, even those forming parts of U. S. Routes, was assigned a number.

Every state employee who depended on Long for a job was expected to pay a portion of his or her salary at election time directly into Long's political war-chest, which raised $ 50, 000 to $ 75, 000 each election cycle.

Every October, the downtown area of New Albany is host to the Harvest Homecoming festival, one of the largest annual events in the state.

Every state has a number of institutions which exercise authority based on longstanding practices.