A nuclear pacifier of these dimensions -- roughly some six and a half times bigger than anything the United States has triggered experimentally -- would certainly produce a bigger bang, and, just for kicks, Khrushchev might use it to propel the seminar of the house of delegates from St. Louis to the moon, where there wouldn't even be any beer to drink.

No generalization of these results to spaces of more than three dimensions has so far been found possible.

Neutrons and protons have comparable dimensions — on the order of — although the ' surface ' of these particles is not sharply defined.

Of these 23, only three, amongst them Brazil, had dimensions politics to justify its creation, as for example, territorial extension and trained and structuralized Armed Forces.

The following may be applied to individual dimensions of multidimensional data, after transformation, although some of these involve their own implicit transformation of the data.

The geometric interpretation of curl as rotation corresponds to identifying bivectors ( 2-vectors ) in 3 dimensions with the special orthogonal Lie algebra so ( 3 ) of infinitesimal rotations ( in coordinates, skew-symmetric 3 × 3 matrices ), while representing rotations by vectors corresponds to identifying 1-vectors ( equivalently, 2-vectors ) and so ( 3 ), these all being 3-dimensional spaces.

" From these principles and some additional constraints —( 1a ) a lower bound on the linear dimensions of any of the parts, ( 1b ) an upper bound on speed of propagation ( the velocity of light ), ( 2 ) discrete progress of the machine, and ( 3 ) deterministic behavior — he produces a theorem that " What can be calculated by a device satisfying principles I – IV is computable.

A drill-across works by grouping ( summarizing ) the data along the keys of the ( shared ) conformed dimensions of each fact participating in the " drill across " followed by a join on the keys of these grouped ( summarized ) facts.

There is no need for higher order derivatives in the equation, nor for time dependence in v ( x ) because these can be eliminated by considering systems of higher dimensions.

In mathematics, Euclidean space is the Euclidean plane and three-dimensional space of Euclidean geometry, as well as the generalizations of these notions to higher dimensions.

One point agreed on is that fractal patterns are characterized by fractal dimensions, but whereas these numbers quantify complexity ( i. e., changing detail with changing scale ), they neither uniquely describe nor specify details of how to construct particular fractal patterns.

It would be impossible to discriminate these events from the background of neutrinos, since the dimensions of the required neutrino shield would ensure collapse into a black hole.

As the dimensions of these quantities are the inverse of each other ( one is distance per volume, the other volume per distance ) when taking the mean value of the fuel-economy of a range of cars one measure will produce the harmonic mean of the other – i. e. converting the mean value of fuel economy expressed in litres per 100 km to miles per gallon will produce the harmonic mean of the fuel economy expressed in miles-per-gallon.

Rushton argues that East Asians and their descendants average a larger brain size, greater intelligence, more sexual restraint, slower rates of maturation, and greater law abidingness and social organization than do Europeans and their descendants, who average higher scores on these dimensions than Africans and their descendants.

Thus, although the joule has the same dimensions as the newton-metre ( 1 J = 1 N · m = 1 kg · m < sup > 2 </ sup >· s < sup >− 2 </ sup >), these units are not interchangeable as the newton-metre ( N · m ) is the unit of torque and joule the unit of energy.

with R < sub > AB </ sub > the five-dimensional Ricci curvature, may be re-expressed so that in four dimensions, these solutions satisfy Einstein's equations

The surface of these grooves can be atomically smooth if the etch is carried out correctly, with dimensions and angles being extremely accurate.

In these contexts, parallel universes are also called " alternative universes ", " quantum universes ", " interpenetrating dimensions ", " parallel dimensions ", " parallel worlds ", " alternative realities ", " alternative timelines ", and " dimensional planes ," among others.

In these uses, the nanometre appears to be supplanting the other common unit for atomic scale dimensions, the angstrom, which is equal to 0. 1 nanometre.

The rotation to do this in three dimensions requires three numbers to uniquely determine ; traditionally these are expressed as three angles.

Many of these people demonstrate a trend in dimensions of their personalities.

The sole surviving protagonist in Operation Counterstrike is the player, who must advance, starting each of the four episodes from a human held but overrun military base, before fighting through into other dimensions, traversing these via slipgate or their otherworld equivalent.

The thinking was that out of these five candidate theories, only one was the actual correct theory of everything, and that theory was the one whose low energy limit, with ten spacetime dimensions compactified down to four, matched the physics observed in our world today.

While diffraction occurs whenever propagating waves encounter such changes, its effects are generally most pronounced for waves where the wavelength is roughly similar to the dimensions of the diffracting objects.

For waves traveling through three dimensions, such as light waves, sound waves, and matter waves, the formulas for phase and group velocity are generalized in a straightforward way:

The elastic wave equation in three dimensions describes the propagation of waves in an isotropic homogeneous elastic medium.

Such waves exist only in cases of space with odd dimensions.

In order to form an image, the ground plane surface must generally have dimensions of at least a quarter-wavelength of the radio waves used.

To conduct energy at frequencies above the radio range, such as millimeter waves, infrared, and light, the waves become much smaller than the dimensions of the structures used to guide them, so transmission line techniques become inadequate and the methods of optics are used.

This feature of undistorted propagation of waves is not present if there are two spatial dimensions.

Room dimensions can create standing waves at particular ( usually low ) frequencies.

In some systems, such as water waves or optics, wave-like states can extend over one or two dimensions.

The limited dimensions of the Earth cause this waveguide to act as a resonant cavity for electromagnetic waves in the ELF band.

High frequency waves are difficult to reduce in three dimensions due to their relatively short audio wavelength in air.

To simplify, consider only waves propagating in one dimension ( extension to three dimensions is straightforward ).

The dimensions of the helix are determined by the wavelength λ of the radio waves used, which depends on the frequency.

When windy, navigation on Lower Lough Erne, running for 26 miles almost to the Atlantic Ocean, can be something of a challenge with waves of open-sea dimensions.

Sound waves have dimensions of inches to many feet, which roughly corresponds to the sizes of most loudspeaker systems.

For frequencies below 800 Hz, the dimensions of the head ( ear distance 21. 5 cm, corresponding to an interaural time delay of 625 µs ), are smaller than the half wavelength of the sound waves.

For frequencies above 1600 Hz the dimensions of the head are greater than the length of the sound waves.

In generative deformational modelling, the latent and data spaces have the same dimensions, for example, 2D images or 1 audio sound waves.

When the temperature is lowered and the dimensions of the device are meaningfully reduced, this classical behavior should disappear and the laws of quantum mechanics should govern the behavior of conducting electrons seen as waves that ballistically move inside the conductor without any kind of dissipation.