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

* Every holomorphic line bundle on a projective variety is a line bundle of a divisor.

* Every module over a field or skew field is projective ( even free ).

* Every projective module is flat.

Every module possesses a projective resolution.

* Every ( biregular ) algebraic automorphism of a projective space is projective linear.

Every minimal projective ruled surface other than the projective plane is the projective bundle of a 2-dimensional vector bundle over some curve.

Every rational variety, including the projective spaces, is rationally connected, but the converse is false.

Every compact, connected 2-manifold ( or surface ) is homeomorphic to the sphere, a connected sum of tori, or a connected sum of projective planes.

* Every projective set of reals -- and therefore every analytic set and every Borel set of reals -- is an element of L ( R ).

Every Andalusian region or comarca has its own variety of this popular food so there are many types of gazpacho.

Every organization using oscilloscopes has a wide variety of calibration approaches open to them.

Every type of reward that has been studied increases the level of dopamine transmission in the brain, and a variety of highly addictive drugs, including stimulants such as cocaine and methamphetamine, act directly on the dopamine system.

Every digit has a set of possible phonetic values, due to the variety of valid Japanese ( kun ' yomi and on ' yomi ), and English-origin pronunciations for numbers in Japanese.

Every Sunday, young people dressed in a variety of styles including gothic lolita, visual kei, and decora, as well as cosplayers spend the day in Harajuku socializing.

Every summer, over 600 young people aged 15 + are placed into crews of 6 or 8 in national parks, national wilderness areas, national monuments, Bureau of Land Management-controlled lands, even military ranges, as well as a variety of other federally controlled lands throughout the United States.

Every algebraic curve C of genus g ≥ 1 is associated with an abelian variety J of dimension g, by means of an analytic map of C into J.

Every naval fleet consists of a variety of ships of different sizes, and no fleet has enough resources to make every vessel supreme in its class.

Every element of the Quran is mathematically composed — the suras, the verses, the words, the number of certain letters, the number of words from the same root, the number and variety of divine names, the unique spelling of certain words, the absence or deliberate alteration of certain letters within certain words, and many other elements of the Quran besides its content.

Every year Union College also offers a variety of mini-terms ( three-week programs during the winter break or at the beginning of the summer vacation ).

Every hundred steps earns a Play Coin, which can be spent on a variety of extras and bonuses.

Every day is different with the Press & Journal-with a wide variety of supplements appealing to many different tastes.

Every Toontask has an award for completion, such as additional " laff points " ( equivalent to the player's " health "), jellybeans ( the in-game currency ), and a variety of other benefits.

Several of Holloway's classic recordings, including " Every Little Bit Hurts ", " When I'm Gone " and " You've Made Me So Very Happy " were covered by a variety of acts over the years.

Every Saturday, a wide variety of producers from around the country take part in the very popular market selling quality produce including a huge array of hot foods, complemented by many others selling hand-made jewellery, gifts, childrenswear and vintage clothing.

Every Saturday, Morris plays a wide variety of classic country music and Southern rock.

Every ornament is at a proper distance, and not one too large, but all delicate and new, with more freedom and variety than Greek ornaments ; and, though probably borrowed from the Hotel de Condé and other new Palaces, not one that is not rather classic than French.

Every operator in the unit is cross-trained in a variety of " low-visibility " skills such as weapons, survival, sniping, medic, small boat handling, driving, tracking, air ops etc.

Every action taken within the system is tracked and reportable for auditing purposes for a wide variety of regulations.

Every year, The Live at Rose Lehrman Performing Artist Series brings in a variety of diverse, artistically excellent professional performances in live dance, music, theatre, and family events to enhance the Central Pennsylvania community while offering unique academic enrichment experiences for students through workshops and artist residenices.

Risk assessment: Every entity faces a variety of risks from external and internal sources that must be assessed.

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.