One is led to speculate as to why the empty space was there, left for our century to finish.

Today, he looked like an Astronaut who had left his vitamin pills on the bureau and spent six months in space: hollow eyes, hollow cheeks, hollow stomach.

On April 12, 1961, Soviet cosmonaut Yuri Gagarin became the first person to fly in space, reinforcing American fears about being left behind in a technological competition with the Soviet Union.

Exile ( 1988 video game ) | Exile is an example of a game where the developers left non-graphical data visible in the display buffer to gain additional memory space.

On the left side, is a function mapping any point in space to a complex number ; on the right side, is a ket.

This space is not compact ; in a sense, points can go off to infinity to the left or to the right.

The entrance to Chiang's tombsite at Tzuhu ( Cihu ) uses the official posthumous rendering of Chiang Kai-shek ( Horizontal and vertical writing in East Asian scripts | from right to left ): The President ( space ) Lord Chiang Mausoleum.

That and the topology of station order and interchanges between train lines are all that is left of the geographic space.

For those with no religious affiliation and those who chose not to list an affiliation, either the space for religion was left blank or the words " NO PREFERENCE " or " NO RELIGIOUS PREF " were included.

Most of the student side-kicks got cancelled and DirkJan left university, first for jail ( DJ is a notorious Kabouter abuser ) and then to wander the globe and indeed space.

The board starts off with a portion of the map left blank: when players expand into the blank region, terrain hexes are drawn at random from a supply and placed in the empty space, and, if a land hex is " discovered ", a number token may be assigned.

Faced with the dilemma of what to do with the empty space left behind by the lack of large amplifier cabinets, Lee chose to decorate his side of the stage with unusual items.

Once this came about the expansion of the town took place, to the west, since there was little space left in the valley.

Although a space was left for him between the signatures of Eliyahu Dobkin and Meir Vilner, Zerach Warhaftig signed at the top of the next column, leading to speculation that Vilner's name had been left alone to isolate him, or to stress that even a communist agreed with the declaration.

In an effort to reduce the use of kryptonite in Superman storylines, all known kryptonite on Earth was transmuted into " k-iron " in a 1971 storyline titled " The Sandman Saga ", though kryptonite could still be synthetically manufactured by a variety of known and unknown means, and additional material left over from the destruction of Krypton would continue to fall from space.

As a result, Germany and all the late-coming nations also, were left with no land to acquire and no space to expand.

# We apply this construction to the case when the manifold M is the underlying space of a Lie group G, with G acting on G = M by left translations L < sub > g </ sub >( h ) = gh.

This shows that the space of left invariant vector fields ( vector fields satisfying L < sub > g *</ sub > X < sub > h </ sub >

Specifically, the left invariant extension of an element v of the tangent space at the identity is the vector field defined by v ^< sub > g </ sub > =

This identifies the tangent space T < sub > e </ sub > at the identity with the space of left invariant vector fields, and therefore makes the tangent space at the identity into a Lie algebra, called the Lie algebra of G, usually denoted by a Fraktur Thus the Lie bracket on is given explicitly by = < sub > e </ sub >.

This leads to the same Lie algebra, because the inverse map on G can be used to identify left invariant vector fields with right invariant vector fields, and acts as − 1 on the tangent space T < sub > e </ sub >.

The Lorentz transformation describes only the transformations in which the spacetime event at the origin is left fixed, so they can be considered as a hyperbolic rotation of Minkowski space.

We know that the number of radio and television impulses, sound waves, ultra-violet rays, etc., that may occupy the very same space, each solitary upon its own frequency, is infinite.

Hughes said, `` This is not a plan to conquer space -- but to conserve it '', pointing out the state population has increased 125,000 each year since 1950.

Mug House, a typical cliff dwelling of the period, was home to around 100 people who shared 94 small rooms and eight kivas built right up against each other and sharing many of their walls ; builders in these areas maximized space in any way they could and no areas were considered off-limits to construction.

In mathematics, a bilinear operator is a function combining elements of two vector spaces to yield an element of a third vector space that is linear in each of its arguments.

Just as kets and bras can be transformed into each other ( making into ) the element from the dual space corresponding with is where A < sup >†</ sup > denotes the Hermitian conjugate ( or adjoint ) of the operator A.

A pressing problem was finding space for additions to the library which now required an extra 1 miles of shelving each year.

Newcomers to a market may find it difficult to find loans, acquire shelf space, or receive official sanction to sell their product or services ; in technological fields, they may be accused of infringing on patents that the established competitors never assert against each other.

For instance, each photon that travels through intergalactic space loses energy due to the redshift effect.

Often, such bonds have no particular orientation in space, since they result from equal electrostatic attraction of each ion to all ions around them.

In general topological spaces, however, the different notions of compactness are not necessarily equivalent, and the most useful notion, introduced by Pavel Alexandrov and Pavel Urysohn in 1929, involves the existence of certain finite families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

In spaces that are compact in this latter sense, it is often possible to patch together information that holds locally — that is, in a neighborhood of each point — into corresponding statements that hold throughout the space, and many theorems are of this character.

In general topological spaces, however, the different notions of compactness are not equivalent, and the most useful notion of compactness — originally called bicompactness — involves families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

Compactness, when defined in this manner, often allows one to take information that is known locally — in a neighborhood of each point of the space — and to extend it to information that holds globally throughout the space.

Formally, a topological space X is called compact if each of its open covers has a finite subcover.

It associates to each space a new space and to each function between two spaces a new function between the corresponding new spaces.

In each of the above cases, the functor sends each space to its tangent bundle and it sends each function to its derivative.

This implies that for each natural number n, the set of sequences f in Cantor space such that f ( n )

As stars move through an arm, the space velocity of each stellar system is modified by the gravitational force of the higher density.

In front of this is a 3 meter tall, white stone statue of Yuri Gagarin, wearing a spacesuit, with one arm raised in greeting and the other holding a space helmet.

This nerve enters the lower triangular space ( an imaginary space bounded by, amongst others, the shaft of the humerus and the triceps brachii ) of the arm and lies deep to the triceps brachii.

On the arm of Valeriy Polyakov, a Poljot 3133 chronograph movement-based watch set a space record for the longest space flight in history.

He wrote of William the Conqueror in Historia Anglorum: He was of just stature, ordinary corpulence, fierce countenance ; his forehead was bare of hair ; of such great strength of arm that it was often a matter of surprise, that no one was able to draw his bow, which himself could bend when his horse was in full gallop ; he was majestic whether sitting or standing, although the protuberance of his belly deformed his royal person ; of excellent health so that he was never confined with any dangerous disorder, except at the last ; so given to the pleasures of the chase, that as I have before said, ejecting the inhabitants, he let a space of many miles grow desolate that, when at liberty from other avocations, he might there pursue his pleasures.

The Center for New Performance, the professional producing arm of the CalArts Theater School, brings works to the space from both student and professional artists and musicians.

In essence, the Mervyn's real estate arm charged retailer Mervyn's huge rents for its department store space.

When Bastion tries to kill Hope, Nightcrawler teleports to her aid, but Bastion detects Nightcrawler's mutant powers activating and extends his arm into the space in which Nightcrawler will materialize.

The arm is capable of handling large payloads of up to 116, 000 kg ( 256, 000 lb ) and was able to assist with docking the space shuttle.

The arm can also travel the entire length of the space station truss using the Mobile Base System.

: Your letter of yesterday is received & I hasten to answer as fully as I can -- Joseph Smith Jr first come to my notice in the year 1824 in the summer of that year I contracted with his father to build a fence on my property in the corse of that work I approach Joseph & ask how it is in a half day you put up what requires your father & 2 brothers a full day working together he says I have not been with out assistance but can not say more only you better find out the next day I take the older Smith by the arm & he says Joseph can see any thing he wishes by looking at a stone Joseph often sees Spirits here with great kettles of coin money it was Spirits who brought up rock because Joseph made no attempt on their money I latter dream I converse with spirits which let me count their money when I awake I have in my hand a dollar coin which I take for a sign Joseph describes what I seen in every particular says he the spirits are grieved so I through back the dollar in the fall of the year 1827 I hear Joseph found a gold bible I take Joseph aside & he says it is true I found it 4 years ago with my stone but only just got it because of the enchantment the old spirit come to me 3 times in the same dream & says dig up the gold but when I take it up the next morning the spirit transfigured himself from a white salamander in the bottom of the hole & struck me 3 times & held the treasure & would not let me have it because I lay it down to cover over the hole when the spirit says do not lay it down Joseph says when can I have it the spirit says one year from to day if you obay me look to the stone after a few days he looks the spirit says bring your brother Alvin Joseph says he is dead shall I bring what remains but the spirit is gone Joseph goes to get the gold bible but the spirit says you did not bring your brother you can not have it look to the stone Joseph looks but can not see who to bring the spirit says I tricked you again look to the stone Joseph looks & sees his wife on the 22d day of Sept 1827 they get the gold bible -- I give Joseph $ 50 to move him down to Pa Joseph says when you visit me I will give you a sign he gives me some hiroglyphics I take then to Utica Albany & New York in the last place Dr Mitchel gives me an introduction to Professor Anthon says he they are short hand Egyption the same what was used in ancient times bring me the old book & I will translate says I it is made of precious gold & is sealed from view says he I can not read a sealed book -- Joseph found some giant silver specticles with the plates he puts them in an old hat & in the darkness reads the words & in this way it is all translated & written down -- about the middle of June 1829 Joseph takes me together with Oliver Cowdery & David Whitmer to have a view of the plates our names are appended to the book of Mormon which I had printed with my own money -- space and time both prevent me from writing more at present if there is any thing further you wish to inquire I shall attend to it

Once the strap is looped around a hand or foot, its attached rope is pulled by rescuers, tightening around the arm or leg and pulling the victim out of the confined space.

Wishbone and multi-link allow the engineer more control over the geometry, to arrive at the best compromise, than swing axle, MacPherson strut or swinging arm do ; however the cost and space requirements may be greater.

During the 13-day flight, the seven member crew attached the Z1 Truss and Pressurized Mating Adapter 3 to the International Space Station using Discovery ’ s robotic arm and performed four space walks to configure these elements.

His technical assignments since then have included: EVA, or " space walks ", RMS ( Remote Manipulator System, or " robotic arm "), and chase team ; support crewman for STS 41-B, STS 41-C and STS 51-A ; spacecraft communicator ( CAPCOM ) during STS 41-B, STS 41-C, STS 41-D, STS 51-A and STS 51-D ; Chief of the Mission Support Branch ; member of the 1990 Astronaut Selection Board ; Acting Deputy Chief of the Astronaut Office, Chief of the Astronaut Office EVA and Robotics Branch, and Astronaut Office Branch Chief for Kennedy Space Center Operations Support.

In particular if you were building portions of a space station attached to the orbiter, then moving those portions farther than the manipulator arm could transport them.

Dr. Hawley also operated the robot arm during five space walks in which two teams installed two new spectrometers and eight replacement instruments.

Mission highlights included: the first use of a space based laser for environmental research ; deployment and retrieval of a spacecraft in support of solar wind and corona studies ; robotic processing of semiconductors ; maneuvered the robotic arm in proximity to over 100 Shuttle reaction control system jet firings to measure forces imparted to a plume detection instrument in support of future Space Station / Shuttle rendezvous flights ; first untethered spacewalk in 10 years to test a self-rescue jetpack.

During the flight, the crew of STS-8 deployed the Indian National Satellite ( INSAT-1B ), operated and tested the Canadian-build Remote Manipulator System ( RMS ) robot arm, and performed numerous earth resources and space science experiments.

The primary objective was to demonstrate the newly designed dexterous robot arm in the space environment, before installing on the Japanese Experiment Module ( JEM ) of the International Space Station.

* Physical Science Laboratory, a nonprofit research and development arm of NMSU, provides a wide variety of research and development services to support defense and space activities around the world.

John McCreary Fabian ( born January 28, 1939, in Goose Creek, Texas ) is a former NASA Astronaut and Air Force officer who flew two space shuttle missions and on the development of the shuttle's robotic arm.