A simplified version of this is embodied in Einstein's elevator experiment, illustrated in the figure on the right: for an observer in a small enclosed room, it is impossible to decide, by mapping the trajectory of bodies such as a dropped ball, whether the room is at rest in a gravitational field, or in free space aboard an accelerating rocket generating a force equal to gravity.

More sophisticated space elevator designs reduce the energy cost per trip by using counterweights, and the most ambitious schemes aim to balance loads going up and down and thus make the energy cost close to zero.

A terrestrial space elevator is beyond our current technology, although a lunar space elevator could theoretically be built using existing materials.

He is considered the father of spaceflight and the first person to conceive the space elevator, becoming inspired in 1895 by the newly-constructed Eiffel Tower in Paris.

China, the first nation to land on Mars and the leader of the most extensive colonies, has built a space elevator on Mars to speed colonization.

A space elevator for Earth would consist of a cable fixed to the Earth's equator, reaching into space.

A space elevator is a proposed type of space transportation system.

An Earth-based space elevator would consist of a cable with one end attached to the surface near the equator and the other end in space beyond geostationary orbit ( 35, 800 km altitude ).

The concept for a space elevator was first published in 1895 by Konstantin Tsiolkovsky.

On Earth, with its relatively strong gravity, current technology is not capable of manufacturing tether materials that are sufficiently strong and light to build a space elevator.

However, recent concepts for a space elevator are notable for their plans to use carbon nanotube or boron nitride nanotube based materials as the tensile element in the tether design.

The measured strength of these molecules is high compared to their densities and they hold promise as materials to make an Earth-based space elevator possible.

The key concept of the space elevator appeared in 1895 when Russian scientist Konstantin Tsiolkovsky was inspired by the Eiffel Tower in Paris to consider a tower that reached all the way into space, built from the ground up to the altitude of geostationary orbit ( 35, 790 kilometers ( 22, 238 mi ) above sea level ).

They decided to determine what type of material would be required to build a space elevator, assuming it would be a straight cable with no variations in its cross section, and found that the strength required would be twice that of any then-existing material including graphite, quartz, and diamond.

Set in the 22nd century, it describes the construction of a space elevator.

In the 22nd century, Dr Vannevar Morgan is a famous structural engineer who hopes to develop the ' space elevator ' from a theoretical concept to reality and enlists the resources of his employers to carry out experiments.

It foreshadows the exploits of Vannevar Morgan in his determination to realise the space elevator.

Experience is not seen, as it is in classical rationalism, as presenting us initially with clear and distinct objects simply located in space and registering their character, movements, and changes on the tabula rasa of an uninvolved intellect.

It is notable that at this time he was writing with admiration of Cimabue's and Poussin's way of filling space.

Next I refer to our program in space exploration, which is often mistakenly supposed to be an integral part of defense research and development.

Third, the United States is pressing forward in the development of large rocket engines to place vehicles of many tons into space for exploration purposes.

Like ours, the economy of the space merchants must constantly expand in order to survive, and, like ours, it is based on the principle of `` ever increasing everybody's work and profits in the circle of consumption ''.

And this, of course, is exactly what Madison Avenue has been accused of doing albeit in a primitive way, with its `` hidden persuaders '' and what the space merchants accomplish with much greater sophistication and precision.

Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.

But there is hope, for Conservation Commissioner Bontempo has tagged the sanctuary as the kind of place the state hopes to include in its program to double its park space.

Four hundred million dollars of the increase is for the expanded space program, a responsibility similarly neglected by Mr. Eisenhower.

I would like to see you devote some space in an early issue to the news blackout concerning President Kennedy's activities, so far as Southern California is concerned.

Advice is given also on problems of plant location and plant space.

The outside 4-inch space is filled by mortaring blocks on edge.

The space between them is filled with pit-run gravel or earth.

In general, such apartments afford more protection than smaller buildings because their walls are thick and there is more space.

The problem for the city apartment dweller is primarily to plan the use of existing space.

The music is always allowed the living space needed to attain its full sonority ; ;

But if space and money are no problem and small children are not on hand every day, it is certainly more restful to have your pool and entertainment area removed from the immediate environs of the house.

Since there is a continual loss of micrometeoritic material in space because of the radiation effects, there must be a continual replenishment: otherwise, micrometeorites would have disappeared from interplanetary space.

With detectors sensitive to three mass intervals and based on a few counts, the second and third Russian space probes indicate that the flux of the smallest particles detected is less than that of larger ones.

Of course, if there is a dust blanket around the Earth, the fluxes in interplanetary space should be less than the figures given here.

If ( remember this is an assumption ) the minimal polynomial for T decomposes Af where Af are distinct elements of F, then we shall show that the space V is the direct sum of the null spaces of Af.

Conversely, suppose that **ya is in the null space of Af.

Gray arsenic ( α-As, space group Rm No. 166 ) adopts a double-layered structure consisting of many interlocked ruffled six-membered rings.

Metallic antimony adopts a layered structure ( space group Rm No. 166 ) in which layers consist of fused ruffled six-membered rings.

In the context of abstract algebra, for example, a mathematical object is an algebraic structure such as a group, ring, or vector space.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

Upon heating, α-berkelium transforms into another phase with an fcc lattice ( but slightly different from β-berkelium ), space group Fmm and the lattice constant of 500 pm ; this fcc structure is equivalent to the closest packing with the sequence ABC.

Watterson opposed the structure publishers imposed on Sunday newspaper cartoons: the standard cartoon starts with a large, wide rectangle featuring the cartoon's logo or a throwaway panel tangential to the main area so that newspapers pressed for space can remove the top third of the cartoon if they wish ; the rest of the strip is presented in a series of rectangles of different widths.

Binary trees can also be stored in breadth-first order as an implicit data structure in arrays, and if the tree is a complete binary tree, this method wastes no space.

A succinct data structure is one which takes the absolute minimum possible space, as established by information theoretical lower bounds.

( The exact structure of this Hilbert space depends on the situation.

If in the above we relax Banach space to normed space the analogous structure is called a normed algebra.

Since a maximal ideal in A is closed, is a Banach algebra that is a field, and it follows from the Gelfand-Mazur theorem that there is a bijection between the set of all maximal ideals of A and the set Δ ( A ) of all nonzero homomorphisms from A to C. The set Δ ( A ) is called the " structure space " or " character space " of A, and its members " characters.

In some cases, the details of electronic structure are less important than the long-time phase space behavior of molecules.

It was this notion of compactness that became the dominant one, because it was not only a stronger property, but it could be formulated in a more general setting with a minimum of additional technical machinery, as it relied only on the structure of the open sets in a space.

* The structure space of a commutative unital Banach algebra is a compact Hausdorff space.

Raw CMBR data coming down from the space vehicle ( i. e., WMAP ) contain foreground effects that completely obscure the fine-scale structure of the Cosmic Microwave background.

Instead, with the topology of compact convergence, C ( a, b ) can be given the structure of a Fréchet space: a locally convex topological vector space whose topology can be induced by a complete translation-invariant metric.

Since Cauchy sequences can also be defined in general topological groups, an alternative to relying on a metric structure for defining completeness and constructing the completion of a space is to use a group structure.

Since the corona has been photographated at high resolution in the X-rays by the satellite Skylab in 1973, and then later by Yohkoh and the other following space instruments, it has been seen that the structure of the corona is very various and complex: different zones have been immediately classified on the coronal disc

In physical terms, dimension refers to the constituent structure of all space ( cf.

This observation motivates the theoretical concept of an abstract data type, a data structure that is defined indirectly by the operations that may be performed on it, and the mathematical properties of those operations ( including their space and time cost ).