Now let us imagine a wing of B-52's, on alert near their `` positive control ( or fail-safe ) points '', the spots on the map, many miles from Soviet territory, beyond which they are forbidden to fly without specific orders to proceed to their targets.

To be reminded of this we need only glance at the world map and note the extent to which religious divisions have compounded political ones, with a resultant fragmentation of the human race.

In accordance with the principle on which alphabets are based, these rules will generally map letters of the alphabet to the phonemes ( significant sounds ) of the spoken language.

After obtaining the map, which reveals the location of R ' lyeh and other secret places, Shrewsbury finally lets Alhazred return to his eternal rest.

Political map showing states which have officially recognized the Armenian Genocide.

Later, his published letters were the basis of Waldseemüller's 1507 map, which is the first usage of America.

Although officially declassified, the original film taken by U. S. Corona spy satellite in the 1960s has been altered prior to declassification ; in answer to freedom of information queries, the government responds that these exposures ( which map to Groom and the entire NAFR ) appear to have been destroyed .< ref >

A map of Cyprus in the later Bronze Age ( such as is given by J. L. Myres and M. O. Richter in Catalogue of the Cyprus Museum ) shows more than 25 settlements in and about the Mesaorea district alone, of which one, that at Enkomi, near the site of Salamis, has yielded the richest Aegean treasure in precious metal found outside Mycenae.

Celsius conducted many geographical measurements for the Swedish General map, and was one of earliest to note that much of Scandinavia is slowly rising above sea level, a continuous process which has been occurring since the melting of the ice from the latest ice age.

Some scientists believe it has to do with a kind of neural map that the brain has of the body, which sends information to the rest of the brain about limbs regardless of their existence.

More precisely, a binary operation on a non-empty set S is a map which sends elements of the Cartesian product S × S to S:

: A scarlet caterpillar, upon which all eyes were at once fixed, began to crawl steadfastly day by day across the map of Europe, dragging the whole war with it.

For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies

A Banach *- algebra A is a Banach algebra over the field of complex numbers, together with a map *: A → A called involution which has the following properties:

The agreement proposed that an " international administration " would be established in an area shaded brown on the agreement's map, which was later to become Palestine, and that the form of the administration would be " decided upon after consultation with Russia, and subsequently in consultation with the other allies, and the representatives of the sheriff of Mecca ".

* Lambert conformal conic projection ( LCC ) is a conic map projection, which is often used for aeronautical charts

The 1523 " Turin map " of the islands was the first to refer to them as Los Lagartos, meaning alligators or large lizards, By 1530 they were known as the Caymanes after the Carib word caimán for the marine crocodile, either the American or the Cuban crocodile, Crocodylus acutus or C. rhombifer, which also lived there.

Additional milieu were provided by Chaosium with the release of Dreamlands, a boxed supplement containing additional rules needed for playing within the Lovecraft Dreamlands, a large map and a scenario booklet, and Cthulhu By Gaslight, another boxed set which moved the action from the 1920s to the 1890s.

We can then define the differential map d: C < sup >∞</ sup >( M ) → T < sub > x </ sub >< sup >*</ sup > M at a point x as the map which sends f to df < sub > x </ sub >.

Cross-country skiing is part of the Nordic skiing sport family, which includes ski jumping, Nordic combined ( cross-country skiing and ski jumping ), Biathlon ( skiing and rifle marksmanship ) and ski-orienteering ( which included map navigation along snow trails and tracks ).

Since the invention of the MIDI system in the early 1980s, for example, some people have worked on programs which map MIDI notes to an algorithm and then can either output sounds or music through the computer's sound card or write an audio file for other programs to play.

The map was based on the 1901 Census of India in which questions about caste and sub-caste were asked of the respondents, the most explicit in the census's history.

This T and O map, which abstracts that society's known world to a cross inscribed within an orb, remakes geography in the service of Christian iconography and identifies the three known continents as populated by descendants of Shem ( Sem ), Ham ( Cham ) and Japheth ( Iafeth )

Cascading leverages the scalability of Hadoop but abstracts standard data processing operations away from underlying map and reduce tasks.

Shrewsbury then uses necromancy to recall Alhazred's spirit and orders it to draw a map of the world as he knew it.

# If adiabats and isotherms are graphed severally at regular changes of entropy and temperature, respectively ( like altitude on a contour map ), then as the eye moves towards the axes ( towards the south-west ), it sees the density of isotherms stay constant, but it sees the density of adiabats grow.

Brenner's team sliced worms into thousands of ultrathin sections and photographed every section under an electron microscope, then visually matched fibers from section to section, to map out every neuron and synapse in the entire body.

Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula

k ≤ 1, then the mapping is said to be a non-expansive map.

If G is a group, and g is a fixed element of G, then the conjugation map

For example, if u < sub > 1 </ sub > is an eigenvector of A, with a real eigenvalue smaller than one, then the straight lines given by the points along α u < sub > 1 </ sub >, with α ∈ R, is an invariant curve of the map.

This map then requires five colors, since the two A regions together are contiguous with four other regions, each of which is contiguous with all the others.

If a map contains a reducible configuration, then the map can be reduced to a smaller map.

This smaller map has the condition that if it can be colored with four colors, then the original map can also.

If f: X → Y is a continuous map, x < sub > 0 </ sub > ∈ X and y < sub > 0 </ sub > ∈ Y with f ( x < sub > 0 </ sub >) = y < sub > 0 </ sub >, then every loop in X with base point x < sub > 0 </ sub > can be composed with f to yield a loop in Y with base point y < sub > 0 </ sub >.

Cartographers must decide and then adjust the content within their maps to create a suitable and useful map that conveys geospatial information within their representation of the world.

), and each input may independently occur with uniform probability, then a hash function need only map roughly the same number of inputs to each hash value.

* If V is a normed vector space with linear subspace U ( not necessarily closed ) and if is continuous and linear, then there exists an extension of φ which is also continuous and linear and which has the same norm as φ ( see Banach space for a discussion of the norm of a linear map ).

* If V is a normed vector space with linear subspace U ( not necessarily closed ) and if z is an element of V not in the closure of U, then there exists a continuous linear map with ψ ( x ) = 0 for all x in U, ψ ( z ) = 1, and || ψ || = 1 / dist ( z, U ).

* In particular, if V is a normed vector space and if z is any element of V, then there exists a continuous linear map with ψ ( z ) = || z || and || ψ || ≤ 1.

then there exists a continuous linear map