Every sedenion is a real linear combination of the unit sedenions 1, < var > e </ var >< sub > 1 </ sub >, < var > e </ var >< sub > 2 </ sub >, < var > e </ var >< sub > 3 </ sub >, ..., and < var > e </ var >< sub > 15 </ sub >,

Every octonion is a real linear combination of the unit octonions:

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

* 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 sensation ," says William James, " presents itself as an indivisible unit ; and it is quite impossible to read any clear meaning into the notion that they are masses of units combined.

Every other borough in Connecticut is a special services district located within another town, the unit of Connecticut local government.

Every unit typically gets its own mailbox with individual keys to it.

Every airport has now been given an APSU ( Airport Security Unit ), a trained unit to counter unlawful interference with civil aviation.

Every unit belongs to a level of technology ( tech level ); the higher the level, the more advanced the unit and the more resources and thus time required to construct it.

Every extra unit of information in a dialogue competes with the relevant units of information and diminishes their relative visibility.

Every Royal Navy unit available was then given the task of destroying the Bismarck.

Every 20 Tactics allow the player to control 1 more unit in battle, from the basic 6 units up to 12 units with 120 Tactics.

Every 2 Clout raises a single unit quality, which when enough allows units to be upgraded into higher Marks and / or different units.

Every other region has its own K-9 unit.

Every student is continuously evaluated, corrected, and mentored, with special attention paid to the smallest of details, such as the placement of a finger within 1 / 4 inch of its required location along a trouser seam, angle of the weapon, and positioning of the student in relation to the unit.

Every commodity is listed separately, and there is never any sign of equivalence between one unit and another.

Every Shadow ship has a sentient being enslaved as its central processing unit ( CPU ).

Every unit with a radio is given a set of DRYAD code sheets.

Every unit holds Parade Nights around 2 – 4 hours long weekly during School Terms.

Every passing moment would see more Prussian brigades passing through Wavre on the way to Waterloo ; by 7th and 8th Brigades passed through Wavre and would next be seen at pushing an Imperial Guard unit out of the woods south of Plancenoit on the Waterloo battlefield.

( 3 ) Every unitary representation of G that has an ( ε, K )- invariant unit vector for any ε > 0 and any compact subset K, has a non-zero invariant vector.

Every character adds a certain amount of defense or attack to a unit.

* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =

Every pseudobulb is only active for one year and carries one or two pleated parallel-veined leaves, with a length of 15-30 cm.

Every district in Mae Hong Son Province shares a common border with the Union of Burma approximately 483 kilometres in total length.

* Every planar graph whose faces all have even length is bipartite.

Every building has a canonical length metric inherited from the geometric realisation obtained by identifying the vertices with an orthonormal basis of a Hilbert space.

Every maximal outerplanar graph satisfies a stronger condition than Hamiltonicity: it is node pancyclic, meaning that for every vertex v and every k in the range from three to the number of vertices in the graph, there is a length-k cycle containing v. A cycle of this length may be found by repeatedly removing a triangle that is connected to the rest of the graph by a single edge, such that the removed vertex is not v, until the outer face of the remaining graph has length k.

Every Spring Bank Holiday ( since 1987 ) the Fish Quay hosts a mammoth free family festival, with hundreds of stalls and entertainments stretching the full length of the Quay.

Every ten years the river is celebrated by an expedition along the entire length.

Every element in the group can be written as a product of generators, and the growth rate counts the number of elements that can be written as a product of length n.

Every finite-length module M has a composition series, and the length of every such composition series is equal to the length of M.

Every Spring Bank Holiday ( since 1987 ) the Fish Quay hosts a mammoth free family festival, with hundreds of stalls and entertainments stretching the full length of the Quay.

Every time you fail to destroy a Captor or fail to catch a Runt, the Critter Counter decreases in length.

In 1973, following the model of Every Building on the Sunset Strip, he photographed the entire length of Hollywood Boulevard with a motorized camera.

Every year, each drum corps prepares a single new show, approximately 8 – 15 minutes in length, and carefully refines this throughout the entire summer year.

Every word of length over an-ary alphabet corresponds to a node in this tree at depth.

Every day of the week is now 25-hours long except for Thursday ( which, due to time anomalies, has not occurred in over a decade ), while the change in the length of the year led to the creation of new months such as Janril, Febtober, and Marchuary.

Every ( nontrivial ) group has a normal series of length 1, namely

Every length of cloth is stamped with the official Orb symbol, trademarked by the Harris Tweed Association in 1909, when Harris Tweed was defined as " hand-spun, hand-woven and dyed by the crofters and cottars in the Outer Hebrides.

Every year in early spring, some people canoe up the creek's full length.

Every day there are three classes just over 90 minutes in length and one class 53 minutes in length.