Predictions of the force were later extended to finite-conductivity metals and dielectrics by Lifshitz and his students, and recent calculations have considered more general geometries.

Predictions have been made that more than 40 % of the animal and plant species in Southeast Asia could be wiped out in the 21st century.

Predictions of empirical data from the theory of common descent have been so consistent that biologists often refer to it as the " fact of evolution ".

* Predictions have been made for commercial hypersonic air travel by 2050.

Predictions from both these theories have been confirmed in different experimental contexts, with no theory winning outright.

Predictions from reliable sources have been used for these elements.

Predictions have often been made, from antiquity until the present, by using paranormal or supernatural means such as prophecy or by observing omens.

Predictions have been made as to how many DLNA Certified products are shipping:

His books have appeared in a number of other languages ; Predictions has been translated into German, Japanese, and Greek, and Conquering Uncertainty has been translated into Chinese Long Form, Chinese Short Form, Greek, and Dutch.

that the first day should make the last, that the Tail of the Snake should return into its Mouth precisely at that time, and they should wind up upon the day of their Nativity, is indeed a remarkable Coincidence, which tho Astrology hath taken witty pains to salve, yet hath it been very wary in making Predictions of it.

Predictions for the Moon's Leonid impacts also noted that in 2000 the side of the Moon facing the stream was away from the Earth but that impacts should be in number enough to raise a cloud of particles kicked off the Moon by impacts would cause a detectable increase in the sodium tail of the Moon.

Predictions such as are routinely used within Kalman filters and smoothers to estimate current and past signal values, respectively.

Music, the Arts, and Ideas: Patterns and Predictions in Twentieth-Century Culture, second edition.

Predictions tools made significant progress during the decade, UN-sponsored organisations such as the IPCC gained influence, and studies such as the Stern report influenced public support for paying the political and economic costs of countering climate change.

Predictions of similar increases in computer power had existed years prior.

Predictions of ozone levels remain difficult.

: " The previously unrelased track " Predictions of Fire " which Laibach readily contributed to this compilation functioned in an early version as background to a 1994 speech of the NSK philosopher Peter Mlakar and is followed by an ecstatic dance orgy.

The Sub-bureau for Rapid Service and Predictions of Earth Orientation Parameters of the IERS, located at the United States Naval Observatory, monitors the Earth's rotation.

Predictions of the neoliberalism were extended to these six countries in four areas: urban systems and primacy, urban unemployment and informal employment, urban inequality and poverty, and urban crime and victimization.

The NSK were the subject of a 1996 documentary film written and directed by Michael Benson, entitled Prerokbe Ognja in Slovenian, or Predictions of Fire in English.

Numbers, Predictions, and War.

Predictions vary, including race war or a Jewish-backed United Nations takeover of the USA and endorse physical struggle against what they see as the forces of evil.

Predictions not sufficiently specific to be tested are similarly not useful.

Predictions of a future maximum's timing and strength are very difficult ; predictions vary widely.

** The Accomplishment of the First of Mr. Bickerstaff's Predictions ( together, part of the " Bickerstaff Papers ")

Predictions must also be reliable, as false alarms and cancelled alarms are not only economically costly, but seriously undermine confidence in, and thereby the effectiveness of, any kind of warning.

Predictions that came close ( but given a probability of only 30 %) had ten or twenty year windows.

The NSK were the subject of a 1996 documentary film written and directed by Michael Benson, entitled Prerokbe Ognja in Slovenian, or Predictions of Fire in English.

The configuration of these electrons follows from the principles of quantum mechanics.

The principles of quantum mechanics were used to successfully model the atom.

The study of these lines led to the Bohr atom model and to the birth of quantum mechanics.

With the development of quantum mechanics, it was found that the orbiting electrons around a nucleus could not be fully described as particles, but needed to be explained by the wave-particle duality.

Specifically, in quantum mechanics, the state of an atom, i. e. an eigenstate of the atomic Hamiltonian, is approximated by an expansion ( see configuration interaction expansion and basis set ) into linear combinations of anti-symmetrized products ( Slater determinants ) of one-electron functions.

Explaining the behavior of these electron " orbits " was one of the driving forces behind the development of quantum mechanics.

Still, the Bohr model's use of quantized angular momenta and therefore quantized energy levels was a significant step towards the understanding of electrons in atoms, and also a significant step towards the development of quantum mechanics in suggesting that quantized restraints must account for all discontinuous energy levels and spectra in atoms.

In the end, this was solved by the discovery of modern quantum mechanics and the Pauli Exclusion Principle.

In quantum mechanics, where all particle momenta are associated with waves, it is the formation of such a wave packet which localizes the wave, and thus the particle, in space.

In quantum mechanics, as a particle is localized to a smaller region in space, the associated compressed wave packet requires a larger and larger range of momenta, and thus larger kinetic energy.

The new quantum mechanics did not give exact results, but only the probabilities for the occurrence of a variety of possible such results.

In modern quantum mechanics however, n determines the mean distance of the electron from the nucleus ; all electrons with the same value of n lie at the same average distance.

Classically, it is forbidden to escape, but according to the ( then ) newly-discovered principles of quantum mechanics, it has a tiny ( but non-zero ) probability of " tunneling " through the barrier and appearing on the other side to escape the nucleus.

He discovered that the so-called Weil representation, previously introduced in quantum mechanics by Irving Segal and Shale, gave a contemporary framework for understanding the classical theory of quadratic forms.

Further investigation and theoretical work showed that the effect was a radiationless effect more than an internal conversion effect by use of elementary quantum mechanics and transition rate and transition probability calculations.

Angular momentum in quantum mechanics differs in many profound respects from angular momentum in classical mechanics.

The classical definition of angular momentum as can be carried over to quantum mechanics, by reinterpreting r as the quantum position operator and p as the quantum momentum operator.

In quantum mechanics, angular momentum is quantized – that is, it cannot vary continuously, but only in " quantum leaps " between certain allowed values.

All of this cosmic evolution after the inflationary epoch can be rigorously described and modeled by the ΛCDM model of cosmology, which uses the independent frameworks of quantum mechanics and Einstein's General Relativity.

In quantum mechanics, Bra-ket notation is a standard notation for describing quantum states, composed of angle brackets and vertical bars.