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

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

* Every open subset of X is a Borel set.

* Every Borel set B ⊆ R < sup > n </ sup > is μ-measurable in the sense of Carathéodory's criterion: for every A ⊆ R < sup > n </ sup >,

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

: Every set has a choice function.

Every such subset has a smallest element, so to specify our choice function we can simply say that it maps each set to the least element of that set.

** Well-ordering theorem: Every set can be well-ordered.

** Zorn's lemma: Every non-empty partially ordered set in which every chain ( i. e. totally ordered subset ) has an upper bound contains at least one maximal element.

The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.

** Antichain principle: Every partially ordered set has a maximal antichain.

* Every continuous functor on a small-complete category which satisfies the appropriate solution set condition has a left-adjoint ( the Freyd adjoint functor theorem ).

: Every non-empty set A contains an element B which is disjoint from A.

* 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.

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 cofinal subset of a partially ordered set must contain all maximal elements of that set.

Every corporation, whether financial or union, as well as every division of the administration, were set up as branches of the party, the CEOs, Union leaders, and division directors being sworn-in as section presidents of the party.

Every DNS zone must be assigned a set of authoritative name servers that are installed in NS records in the parent zone, and should be installed ( to be authoritative records ) as self-referential NS records on the authoritative name servers.

Group actions / representations: Every group G can be considered as a category with a single object whose morphisms are the elements of G. A functor from G to Set is then nothing but a group action of G on a particular set, i. e. a G-set.

# " Personality " Argument: this argument is based on a quote from Hegel: " Every man has the right to turn his will upon a thing or make the thing an object of his will, that is to say, to set aside the mere thing and recreate it as his own ".

Every atom across this plane has an individual set of emission cones .</ p > < p > Drawing the billions of overlapping cones is impossible, so this is a simplified diagram showing the extents of all the emission cones combined.

* Every singleton set

Every processor or processor family has its own machine code instruction set.

Every set is a class, no matter which foundation is chosen.

Every non-empty totally ordered set is directed.

* Every preorder can be given a topology, the Alexandrov topology ; and indeed, every preorder on a set is in one-to-one correspondence with an Alexandrov topology on that set.

Every binary relation R on a set S can be extended to a preorder on S by taking the transitive closure and reflexive closure, R < sup >+=</ sup >.

* Carpenter, Ruth Ann ; Finley, Carrie E. Healthy Eating Every Day.

* Every open set E is inner regular:

Every adult citizen of this small settlement signed the small petition ; E. K Dyer and his wife, William Johnson, Joseph Otis and his wife, Hiram Walker and his wife, Joseph Pease and R. H. Valentine.

Every year, Cross Plains holds the Robert E. Howard Days and a Barbarian Festival on the second weekend of June.

* " There's a Little Bit of You in Every Love Song " w. E. Y. Harburg m. Sammy Fain.

We call a field E a splitting field for A if A ⊗ E is isomorphic to a matrix ring over E. Every finite dimensional CSA has a splitting field: indeed, in the case when A is a division algebra, then a maximal subfield of A is a splitting field.

Every functor F: D → E induces a functor F < sup > C </ sup >: D < sup > C </ sup > → E < sup > C </ sup > ( by composition with F ).

She would continue to work with Clapton, performing on his albums from 1974 to 1977, including 461 Ocean Boulevard, There's One in Every Crowd, E. C. Was Here, No Reason to Cry, and Slowhand albums.

The Wright Eclipse Geminis used on route 11A / C / E have green ' Every 8 minutes ' branding.

Every infinitesimal region of space time may have its own proper time that corresponds to the gravitational time dilation there, where electromagnetic radiation and matter may be equally affected, since they are made of the same essence ( as shown in many tests involving the famous equation E = mc < sup > 2 </ sup >).

* The Movement of People Working, DVD, Extreme Records, 2003 ( soundtrack contains Every Tune ; Summing III ; Four Arthurs ; E for Gibson ; Cello & Bassoon ; A Mix of Cello & Bassoon and Contrabassoon & Contrabass ; A Third Trombone ; According to Guy, version III ; and Not Untitled, Knot Untied – Old )

* Why Every Worker Should Be a Communist and Join the Workers Party by Charles E. Ruthenberg Chicago, Ill.: Workers Party of America, 1923

They recorded the track " Meet Every Situation Head On " together as M. E. S. H ..

According to Dale E. Dawkins, AMC's vice-president, " Every square inch of inner surface on exterior body panels is galvanized on our Spirit, Concord, and Eagle models.

* Audiorecording of " To a Skylark " read by Kara Shallenberg on LibriVox, track 64, from Poems Every Child Should Know ( 1904 ), Mary E. Burt, ed.

* The New Dictionary of Cultural Literacy, Third Edition: What Every American Needs to Know Edited by James Trefil, Joseph F. Kett, and E. D. Hirsch.

Skills: Every acrobatic and dance element was awarded a specific difficulty rating, ranging from A ( easiest ) to Super E ( hardest ) in the Table of Elements.

Political topics addressed on The Simpsons include homophobia and gay marriage ( in the episodes " Homer's Phobia " and " There's Something About Marrying "), immigration and border control (“ Much Apu About Nothing ,” “ Midnight Rx ”, “ Coming to Homerica ”), drug and alcohol abuse (" Brother's Little Helper ", " Weekend at Burnsie's ", " Homer vs. the Eighteenth Amendment ", " Duffless ", " E-I-E-I -( Annoyed Grunt )", and " Days of Wine and D ' oh ' ses "), gun rights (" The Cartridge Family "), environmental issues (" The Old Man and the Lisa ", " Trash of the Titans ", " Lisa the Tree Hugger ", " The Wife Aquatic ", " The Squirt and the Whale ", in addition to being an important plot device in the feature-length film ), election campaigns (" Two Cars in Every Garage and Three Eyes on Every Fish ", " Sideshow Bob Roberts ", " Mr. Spritz Goes to Washington ", " See Homer Run ", " E Pluribus Wiggum ", " Politically Inept, with Homer Simpson "), and corruption (" Mr. Lisa Goes to Washington ").

Every wing commander and region commander — and those members being groomed to replace them — is encouraged to complete the level IV training and earn the Paul E. Garber Award.

* The New Dictionary of Cultural Literacy: What Every American Needs to Know by E. D. Hirsch, Joseph F. Kett and James Trefil ( 2002 )