Every path from back door to barn was covered by a grape-arbor, and every yard had its fruit trees.

Every recorded request by Thomas for a delay in a flank movement or an advance was to gain time to take care of his horses.

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

Every night when he wanted a drink of water, didn't he practice being fearless by not turning on the bathroom light??

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

Every passage to the city was guarded by gates and towers, and a wall surrounded each of the city's rings.

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 decision made by German or opposing forces required time to gather information, make a decision, disseminate orders to subordinates, and then implement this decision through action.

Every year there has been a major reduction in economic growth, it is followed by a reduction in the US trade deficit.

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.

* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".

* Every topological space X is a dense subspace of a compact space having at most one point more than X, by the Alexandroff one-point compactification.

* Every pair of congruence relations for an unknown integer x, of the form x ≡ k ( mod a ) and x ≡ l ( mod b ), has a solution, as stated by the Chinese remainder theorem ; in fact the solutions are described by a single congruence relation modulo ab.

* Every regular language is context-free because it can be described by a context-free grammar.

" Nietzsche, who was heavily influenced by Schopenhauer, wrote: " Every concept originates through our equating what is unequal.

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.

*" Lives of the Saints, For Every Day of the Year " edited by Rev.

George Every claims that the existence of " myths in the Bible would now be admitted by nearly everyone ", including " probably all Roman Catholics and a majority of Protestants ".

Most of his films have been at least partially financed by Telefilm Canada, and Cronenberg is a vocal supporter of government-backed film projects, saying " Every country needs system of government Grant ( money ) | grants in order to have a national cinema in the face of Hollywood ".

Every aspect of life was regulated to some degree by the party, and the will of its founding-president, Mobutu Sese Seko.

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 vector space has a basis.

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 vector v in determines a linear map from R to taking 1 to v, which can be thought of as a Lie algebra homomorphism.

Every vector space has a basis, and all bases of a vector space have the same number of elements, called the dimension of the vector space.

Every normed vector space V sits as a dense subspace inside a Banach space ; this Banach space is essentially uniquely defined by V and is called the completion of V.

Every finite-dimensional vector space is isomorphic to its dual space, but this isomorphism relies on an arbitrary choice of isomorphism ( for example, via choosing a basis and then taking the isomorphism sending this basis to the corresponding dual basis ).

Every random vector gives rise to a probability measure on R < sup > n </ sup > with the Borel algebra as the underlying sigma-algebra.

Every continuous function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors.

Every vector in the space may be written as a linear combination of unit vectors.

Every finite-dimensional Hausdorff topological vector space is reflexive, because J is bijective by linear algebra, and because there is a unique Hausdorff vector space topology on a finite dimensional vector space.

* Every holomorphic vector bundle on a projective variety is induced by a unique algebraic vector bundle.

For example, second-order arithmetic can express the principle " Every countable vector space has a basis " but it cannot express the principle " Every vector space has a basis ".

Many principles that imply the axiom of choice in their general form ( such as " Every vector space has a basis ") become provable in weak subsystems of second-order arithmetic when they are restricted.

Every vector space is free, and the free vector space on a set is a special case of a free module on a set.

** Every infinite game in which is a Borel subset of Baire space is determined.

** Every Tychonoff space has a Stone – Čech compactification.

* Theorem Every reflexive normed space is a Banach space.

* Every compact metric space is separable.

* Every continuous map from a compact space to a Hausdorff space is closed and proper ( i. e., the pre-image of a compact set is compact.

* Pseudocompact: Every real-valued continuous function on the space is bounded.

Every compact metric space is complete, though complete spaces need not be compact.

Every point in three-dimensional Euclidean space is determined by three coordinates.

Every node on the Freenet network contributes storage space to hold files, and bandwidth that it uses to route requests from its peers.

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

* Every Lie group is parallelizable, and hence an orientable manifold ( there is a bundle isomorphism between its tangent bundle and the product of itself with the tangent space at the identity )