A generic prediction of chaotic inflation is an infinite ergodic universe, which, being infinite, must contain Hubble volumes realizing all initial conditions.

The time evolution of wave functions is deterministic in the sense that-given a wavefunction at an initial time-it makes a definite prediction of what the wavefunction will be at any later time.

Traditionally, the formal modeling of systems has been via a mathematical model, which attempts to find analytical solutions enabling the prediction of the behaviour of the system from a set of parameters and initial conditions.

One application of SVD to rather large matrices is in numerical weather prediction, where Lanczos methods are used to estimate the most linearly quickly growing few perturbations to the central numerical weather prediction over a given initial forward time period – i. e. the singular vectors corresponding to the largest singular values of the linearized propagator for the global weather over that time interval.

When the predictions proved true and Eisenhower won a landslide within 1 % of the initial prediction, Charles Collingwood, the on-air announcer, embarrassingly announced that they had covered up the earlier prediction.

Yukawa also worked on the theory of K-capture, in which a low energy electron is absorbed by the nucleus, after its initial prediction by G. C. Wick.

Although falling far short of his initial prediction of vetoing $ 938 million, Fletcher used the line-item veto more than any other governor in state history.

This information reveals the affinity between the two molecules and allows prediction of the amount bound given any set of initial conditions.

The initial printing sold out in three days, confirming Fitzgerald's prediction of overnight fame.

Feyerabend doesn't explore the point further, but it can be assumed that if the prediction does not agree with the observation and if we have a high degree of confidence in the description that we have made from the initial conditions than we can be sure that the error must be present in our theory and in its underlying terms.

The initial discovery that radio waves could travel beyond the horizon by Marconi in the early 20th century prompted extensive studies of ionospheric propagation for the next 50 years or so which have yielded various HF link channel prediction tables and charts.

In 1948, as a consequence of their studies of nucleosynthesis in the early expanding Big Bang universe model, they made the first theoretical prediction of the existence of a residual, homogeneous, isotopic, blackbody radiation ( cosmic microwave background radiation ) that pervades the universe as a vestige of the initial Big Bang explosion.

In this case, the dynamic system is the atmosphere, the model is a numerical weather prediction model and the initial condition is represented by an objective analysis of an atmospheric state.

To verify this prediction, recall the solution of the initial value problem

As he talked about himself, time and again stuffing and dragging on his pipe, Steinberg began to relax and the initial hurried feeling grew faint and was dispelled.

The initial suppression activities would cover about twice the acreage currently being treated.

This aircraft, which was planned for initial operational use about 1965, would be complementary to but likewise competitive with the four strategic ballistic missile systems, all of which are scheduled to become available earlier.

A satisfactory cloud was produced even though these nozzles were only about 5 per cent efficient in producing an initial cloud in the size range of 1 to 5 microns.

One of the initial questions put to President Kennedy at his first news conference last January was about his attitude toward a meeting with Premier Khrushchev.

On May 7, 1946, Morita and Ibuka founded Tokyo Tsushin Kogyo Kabushiki Kaisha ( Tokyo Telecommunications Engineering Corporation, the forerunner of Sony Corporation ) with about 20 employees and initial capital of ¥ 190, 000.

Growers harvest abacá fields every three to eight months after an initial growth period of 12 – 25 months and a total lifespan of about 10 years.

( This initial version of the song played more slowly and about half an octave higher than the later hit version.

In simpler term, Biotechnology is the research and development in the laboratory that involves bioinformatics for exploration, extraction, exploitation and production from any living organisms and any source of biomass by means of biochemical engineering where high value-added products could be planned ( reproduced by Biosynthesis, for example ), fore-casted, formulated, developed, manufactured and marketed for the purpose of sustainable operations ( for the return from bottomless initial investment on R & D ) and gaining durable patents rights ( for exclusives rights for sales, and prior to this to receive national and international approval from the results on animal experiment and human experiment, especially on the pharmaceutical branch of biotechnology to prevent any undetected side-effects on safety concerns by using the products ), for more about the biotechnology industry, see.

Because a black hole eventually achieves a stable state with only three parameters, there is no way to avoid losing information about the initial conditions: the gravitational and electric fields of a black hole give very little information about what went in.

In order to work, and as pointed out by Roger Penrose from 1986 on, inflation requires extremely specific initial conditions of its own, so that the problem ( or pseudoproblem ) of initial conditions is not solved: “ There is something fundamentally misconceived about trying to explain the uniformity of the early universe as resulting from a thermalization process.

The initial, and perhaps even sole task of philosophers, according to this view, is not to establish and demonstrate theories about reality, but rather to subject all theories — including those about philosophy itself — to critical review, and measure their validity by how well they withstand criticism.

Beyond the initial increase in distortion, lower bit rate codecs also achieve their lower bit rates by using more complex algorithms that make certain assumptions, such as those about the media and the packet loss rate.

The Victory Garden, that initial ten-page story published in April, 1943 was the first of about 500 stories featuring the Disney ducks Barks would produce for Western Publishing over the next three decades, well into his purported retirement.

After the initial investigation, the police failed to control disclosure of information and speculation about the crime scene.

* 2004 – The initial version of the John Jay Report, with details about the Catholic sexual abuse scandal in the United States, is released.

Park alleged that the initial in “ G-20 ” sounds like the Korean word for “ rat ” however Korean government prosecutors alleged that Mr. Park was making a derogatory statement about President of ROK Lee Myung-bak, the host of the summit.

Inflected into the unrealized inceptive aspect (' to be just about to tell '), the sign begins with the hand moving from in front of the trunk in an arc to the initial posture of the base sign ( i. e. index finger touching the chin ) while inhaling through the mouth, dropping of the jaw, directing eye gaze toward the verb's object.

This came about in spite of initial disapproval by contemporary medical opinion ( which worried about women's frail health ) and by savoir vivre guidebooks ( which deplored the public attention drawn to what was assumed to be the wife's sexual initiation ).

In the wake of the Deepwater Horizon oil spill, journalist Naomi Klein uncovered that " the initial exploration plan that BP submitted to the federal government for the ill-fated Deepwater Horizon well reads like a Greek tragedy about human hubris.

They became engaged over her parents ' initial concerns about his age and politics, and they married on February 26, 1845.

This converted to GBP £ 1, 687, 837 at the time In 2012, the capital is worth around SEK 3. 1 billion ( USD 472 million, EUR 337 million ), which is almost twice the amount of the initial capital, taking inflation into account.

Remarkably, the growth of polycrystalline films is often used and preceded by an initial amorphous layer, the thickness of which may amount to only a few nm.

At the height of the boom, it was possible for a promising dot-com to make an initial public offering ( IPO ) of its stock and raise a substantial amount of money even though it had never made a profit — or, in some cases, earned any revenue whatsoever.

These initial three steps define the minimal amount of planning for simplified EVM.

* The amount of a franchisee's initial investment

Unfortunately, the amount of speech that could be compressed into a 4K or 8K ROM cartridge was limited, and the system did not sell as well as Mattel had hoped ; while the initial orders were as high as 300, 000 units for the Intellivoice module and its initial game-cartridge offerings, interest in future titles dropped rapidly until the fourth and last Intellivoice title, Tron: Solar Sailer, sold a mere 90, 000 units.

A star remains near its initial position on the main sequence until a significant amount of hydrogen in the core has been consumed, then begins to evolve into a more luminous star.

The amount of energy extracted from nuclear fuel is called its burnup, which is expressed in terms of the heat energy produced per initial unit of fuel weight.

They made thousands of makeshift weapons in a short amount of time, even using women's hair for catapult strings, and were able to hold off an initial Roman attack.

At the same time, the initial wave front propagates away from the source through the space to the distance x to fit the same amount of oscillations, kx = ωt.

Accurate radiometric dating generally requires that the parent has a long enough half-life that it will be present in significant amounts at the time of measurement ( except as described below under " Dating with short-lived extinct radionuclides "), the half-life of the parent is accurately known, and enough of the daughter product is produced to be accurately measured and distinguished from the initial amount of the daughter present in the material.

This delta-v means that the speed increases ( or decreases ) by a particular amount, independent of the initial speed.

With Tesla's salary of $ 18 per week, the payment would have amounted to over 53 years ' pay and the amount was equal to the initial capital of the company.

Lifetime is defined as the time required to reduce a given perturbation of methane in the atmosphere to 37 % of its initial amount.

While the initial raiding groups were small, it is believed that a great amount of planning was involved.

If a worm is hit with a weapon, the amount of damage dealt to the worm will be removed from the worm's initial amount of health.

For RGPu and WGPu, the initial amount of U-233 and its decay around 1 million years can be seen.

If the initial amount of Sr is known or can be extrapolated, the age can be determined by measurement of the Rb and Sr concentrations and the < sup > 87 </ sup > Sr /< sup > 86 </ sup > Sr ratio.

AD and AE are respectively the energy and entropy of the body in its initial state ; AB and AC its available energy ( Helmholtz free energy ) and its capacity for entropy ( the amount by which the entropy of the body can be increased without changing the energy of the body or increasing its volume ).

For example, 1 ) The initial conditions that amount to an accident waiting to happen 2 ) What disturbed the set-up to get an event into progress 3 ) The additional developments that occurred to result in the final situation, 4 ) The final situation.

One consequence of this is that unlike helium-4, the amount of deuterium is very sensitive to initial conditions.

Because of sensitive dependence on initial conditions, some deterministic models may appear to behave non-deterministically ; in such cases, a deterministic interpretation of the model may not be useful due to numerical instability and a finite amount of precision in measurement.

The sulfate ion concentration increases much slower in the soil mass and is especially dependent upon the initial amount of sulfates in the native soil.