Every day, when the President took his nap, Rob Roy would stretch out on the window seat near him, like a perfect gentleman, and stare thoughtfully out the window, or he would take a little nap himself.

" Every decent man, and every real gentleman in particular, ought to apply himself, above all things, to the study of his native language, so as to express his ideas with ease and gracefulness.

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 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 entire function can be represented as a power series that converges uniformly on compact sets.

Every singleton is a terminal object, with the functions mapping all elements of the source sets to the single target element as morphisms.

Every open subgroup H is also closed, since the complement of H is the open set given by the union of open sets gH for g in G

Every subset of a nowhere dense set is nowhere dense, and the union of finitely many nowhere dense sets is nowhere dense.

Every morphism in a concrete category whose underlying function is injective is a monomorphism ; in other words, if morphisms are actually functions between sets, then any morphism which is a one-to-one function will necessarily be a monomorphism in the categorical sense.

* Every intersection of countably many dense open sets is dense.

* Every nonempty affine algebraic set may be written uniquely as a union of algebraic varieties ( where none of the sets in the decomposition are subsets of each other ).

Every locally constant function from the real numbers R to R is constant by the connectedness of R. But the function f from the rationals Q to R, defined by f ( x ) = 0 for x < π, and f ( x ) = 1 for x > π, is locally constant ( here we use the fact that π is irrational and that therefore the two sets

Every Boolean algebra is a Heyting algebra when a → b is defined as usual as ¬ a ∨ b, as is every complete distributive lattice when a → b is taken to be the supremum of the set of all c for which a ∧ c ≤ b. The open sets of a topological space form a complete distributive lattice and hence a Heyting algebra.

Every year on 25 November a group of Cuban youths sets out from Tuxpan aboard a replica of the Granma to re-trace hour by hour the voyage of the original Granma to its landing spot at Playa Las Coloradas a week later.

Every tallit is tied with four sets of knotted fringes ( tzizit ), which symbolize the commandment ( mitzvot ) incumbent upon Jews.

Every graph contains at most 3 < sup > n / 3 </ sup > maximal independent sets, but many graphs have far fewer.

Every reissue included a booklet with new photos, extensive sleeve notes by Mike Edison and a number of bonus tracks now making the new editions of Extra Width, Orange, Acme double CD sets.

* Every collection of disjoint open sets in a second-countable space is countable.

Every Boolean algebra can be represented as a field of sets.

Every interior algebra can be represented as a topological field of sets with its interior and closure operators corresponding to those of the topological space.

Every ( normal ) Boolean algebra with operators can be represented as a field of sets on a relational structure in the sense that it is isomorphic to the complex algebra corresponding to the field.

Every year, the Maynard Pioneer Museum is home to a local tradition called " Pioneer Day " when the local Maynard High School sets up booths and games for the day.

Every major network sends news crews, and have sets built by the beach in Cartagena to report live for at least fifteen minutes every day towards the end of the news broadcast on the goings-on of the contestants.

Mattel packaged molds from various sets to be sold separately, and also combined molds into larger omnibus editions, encompassing several themes into one set, under names such as " Triple Thingmaker ", " Super Thingmaker ", or even " Every Thingmaker ".

Atkin wrote, " Every few years a sim comes along that lets reviewers use the ' sets new standards for graphics ' cliché, and Flight Unlimited is the 1995 entry in this club.

Every closed category has a forgetful functor to the category of sets, which in particular takes the internal hom to the external hom.

* In " Every Kind Word " by Lackthereof, Danny Seim's project parallel to Menomena, Seim sings "... and your hair is long like Absalom.

Every summer the group gathers in Newport, RI for week long dance training, seaside teas, and evenings enjoying the splendors of the Gilded Age.

" Every day " technologies such as weather forecasting, remote sensing, GPS systems, satellite television, and some long distance communications systems critically rely on space infrastructure.

Every natural hollow is full of water, around the margin of which, long grasses, reeds and other aquatic plants grow in the greatest profusion, often making it difficult to say where the land ends and the water begins.

Contrary to popular belief, the long staircase is not the same one used by The Three Stooges in their 1941 film An Ache in Every Stake.

Every time you punch the needle down through the backing, it makes a long thread on the right side of the rug.

Every player receives a prize for participating on Survivor depending on how long he or she lasts in the game.

Every other year, the people gather in Nulato to celebrate the week long Stick Dance Festival.

Every illumination of blue lights was accompanied by a shower of rockets, some of which entered the head of the column, passing through to the rear, causing death, wounds, and dreadful lacerations from the long bamboos of twenty or thirty feet, which are invariably attached to them '.

Every year in June Providence hosts the annual Coal Festival in celebration of the coal mines and miners that have long been a part of the city's history.

Every year on the first Saturday in July, a day long " Heritage Day " is held.

The four songs recorded were an 8-minute long version of ' In Every Heaven ' ( originally recorded in 1982 during the " New Gold Dream " sessions ) and three entirely new compositions: ' Stagefright ' and ' On The Rooftop ' both written by Charlie Burchill and Jim Kerr and ' Broken Glass Park ' originally a Lostboy!

Every year on Boxing Day ( 26 December ) Grantchester holds an inter-village barrel race which is around 40 minutes long and ends with a hog roast at the Rupert Brooke pub, named after the poet.

Every evening they fly, often in groups and sometimes over long distances, to reach safe roosting sites such as dense trees or shrubs that impede predator movement, or, at higher latitudes, dense conifers that afford good wind protection.

Every Halloween, she would traditionally let down her long silver hair, dress in a ghostly gown, and tell ghostly haunted tales spanning across the entire history of the city.

Every step of the process is natural and healthy, it is only when a person gets stuck in one step for a long period of time then the grieving can become unhealthy, destructive and even dangerous.

Every manufacturer published long lists of testimonials in which all sorts of human ailments were cured by the compounds.

Every one of the stewards and officials wore on their lapel a small silken bow the center of which was white, while on one side was green and on the other side orange and had long been recognized as the colors which the Irish Republican Brotherhood had adopted as the Irish national banner.

Every lobsterman is required to use a lobster gauge to measure the distance from the lobster's eye socket to the end of its carapace: if the lobster is less than long, it is too young to be sold and must be released back to the sea.

Nesbet continued " Every morning in SSMTG began with a coffee session, chaired by Professor Slater, with the junior members seated around a long table ... Every member of the group was expected to contribute a summary of his own work and ideas to the Quarterly Progress Report ".

Every hymn begins with a verset with a continuous cantus firmus: the hymn melody is stated in long note values in one of the voices, usually the bass, while the other voices provide contrapuntal accompaniment.

Every iteration of Link wears a green tunic and a long green Phrygian cap and has long, pointed ears, a distinctive trait of the Hylian race and their descendants.

Every Monday Starting on the May long weekend until the labour day weekend Kincardine has a " Market in the Square " a sort of flea market in the local park located beside the downtown.