These axioms are sufficient for many proofs in elementary mathematical analysis, and are consistent with some principles, such as the Lebesgue measurability of all sets of reals, that are disprovable from the full axiom of choice.

A full Bayesian analysis of the WMAP power spectrum demonstrates that the quadrupole prediction of Lambda-CDM cosmology is consistent with the data at the 10 % level and that the observed octupole is not remarkable.

Bohr's results for the frequencies and underlying energy values were confirmed by the full quantum-mechanical analysis which uses the Schrödinger equation, as was shown in 1925 – 1926.

Additionally, one analysis of the full photograph revealed the object was quite small, only about long.

Lykaion Excavation and Survey Project, a joint effort of the University of Pennsylvania and the University of Arizona began work at the site in 2004, with the aim of continuing the topographical survey begun in 1996 and carrying out a full topographical and architectural analysis not only of the altar and temenos, but of the nearby valley where the Lykaian Games were held.

Once these skills are acquired the reader can attain full language literacy, which includes the abilities to approach printed material with critical analysis, inference and synthesis ; to write with accuracy and coherence ; and to use information and insights from text as the basis for informed decisions and creative thought.

According to James Bamford, the NSA had picked up communications of al-Mihdhar and al-Hazmi back in 1999, but had been hampered by internal bureaucratic conflicts between itself and the CIA, and did not do a full analysis of the information it passed on to the agency.

For sound waves, Lord Rayleigh published a full mathematical analysis of propagation modes in his seminal work, “ The Theory of Sound ”.

The bandwidth of the telemetry link is often insufficient to transfer all data acquired ; therefore, a limited set is sent to earth for real-time processing while an on-board recorder ensures the full data set is available for post-flight analysis.

The Navier – Stokes equations in their full and simplified forms help with the design of aircraft and cars, the study of blood flow, the design of power stations, the analysis of pollution, and many other things.

For U. S. evaluations, only at EAL5 and higher do experts from the National Security Agency participate in the analysis ; and only at EAL7 is full source code analysis required.

This analysis is aimed at an exhaustive understanding of the Mishna's full meaning.

* This piece is full of astute analysis and treatment of primary documents.

This form of analysis has also been adopted by the Keynesian or new Keynesian schools in modern macroeconomics, applying it to Walrasian models of general equilibrium in order to deal with failures to attain full employment, or the non-adjustment of prices and wages.

Gigerenzer instead proposes to examine simple alternatives to a full rationality analysis as a mechanism for decision-making, and he and his colleagues have shown that such simple heuristics frequently lead to better decisions than the theoretically optimal procedure.

Teleological analysis of business ethics leads to consideration of the full range of stakeholders in any business decision, including the management, the staff, the customers, the shareholders, the country, humanity and the environment .< ref >

Using newer and more powerful infrared telescope technology, able to detect brown dwarfs as cool as 150 kelvins out to a distance of 10 light-years from the Sun, preliminary results from the Wide-field Infrared Survey Explorer ( WISE survey ) have not, to date, detected Nemesis, although the analysis of the full survey is not yet complete.

In a subsequent debate in the Commons, Benn's demand for " a full analysis of the costs in life, equipment and money in this tragic and unnecessary war " was rejected by Margaret Thatcher, who, apparently unaware of Benn's service in World War Two and the loss of his brother, stated that " he would not enjoy the freedom of speech that he put to such excellent use unless people had been prepared to fight for it ".

Sofia Vasilyevna Kovalevskaya () ( – ) was the first major Russian female mathematician, responsible for important original contributions to analysis, differential equations and mechanics, and the first woman appointed to a full professorship in Northern Europe.

ArcInfo is at the high end and provides full, advanced analysis and data management capabilities, including geostatistical and topological analysis tools.

Interviews are often taped and later transcribed, allowing the interview to proceed unimpaired of note-taking, but with all information available later for full analysis.

Systems in category 1, at the weak end of the spectrum, are relatively easy to construct, but do not allow a full treatment of classical analysis using infinitesimals in the spirit of Newton and Leibniz.

In a postwar analysis of the unpreparedness of U. S. Army forces deployed to Korea during the summer and fall of 1950, Army Major General Floyd L. Parks stated that " Many who never lived to tell the tale had to fight the full range of ground warfare from offensive to delaying action, unit by unit, man by man ... hat we were able to snatch victory from the jaws of defeat ... does not relieve us from the blame of having placed our own flesh and blood in such a predicament.

It would seem that the wheel had turned full circle.

That po'k, it was so full of skippers it would jump and run and not come when you say, hoo-pig.

`` I would like them to appear very busy today, not busy exactly, but joyous, exuberant, full of life.

The most realistic way of facing up to this problem would be to have the State take over full responsibility for assessing all taxable property.

Once the full extent of this Russian military penetration of Cuba was clear, President Kennedy announced we would take whatever action was appropriate to prevent this, even if we had to go it alone.

The reason that we are not going ahead full speed to develop high thrust-to-weight engines is that it would cost perhaps a billion dollars -- and you don't spend that sort of money if aircraft are obsolete.

Participation for the educator in this case, however, would have to be raised to full and complete membership.

If you would feel happier with full collision insurance, there is a small additional charge, again varying from country to country and depending on the term of such insurance.

This was done with full knowledge that there would be no epidemic.

And Harry Dexter White, implicated in F.B.I. reports in Communist associations, was one of the architects of the Morgenthau Plan, which had it ever been put into full operation, would have simply handed Germany to Stalin.

And when he was alone again in the cabin, Alexander lowered his head into his arms and wept, for he knew full well what must be done, what in the end would be done.

Johnston, who had little choice in allowing Floyd and Pillow to take charge at Fort Donelson on the basis of seniority after he ordered them to add their forces to the garrison, took the blame and suffered calls for his removal because a full explanation to the press and public would have exposed the weakness of the Confederate position.

Henry also proposed building a demonstration version of the full engine, with a smaller storage capacity: " perhaps for a first machine ten ( columns ) would do, with fifteen wheels in each ".

He is a character in Greek mythology and is mentioned in Homer's Iliad, and receives full treatment in Roman mythology as the legendary founder of what would become Ancient Rome, most extensively in Virgil's Aeneid.

The Second Athenian Empire, a maritime self-defense league, was founded in 377 BC and was led by Athens ; but Athens would never recover the full extent of her power, and her enemies were now far stronger and more varied.

The disadvantage to this system is that while the SAA5050 would expect to be repeatedly fed the same 40 bytes of data for every display scanline of each character row, the ULA would read a different set of 40 bytes for every display scanline in order to produce a full graphics display.

As the " small Aston " DB7 would require a large engineering input, Ford agreed to take full control of Aston Martin, and Gauntlett handed over the company chairmanship to Hayes in 1991.

Since those boards generally lacked multiplier and voltage adjustment, and normally only supported 133 MHz FSB, adjustments would still be needed for full speed operation.

In competitions, competitors are costumed as would be appropriate for a white tie affair, with full gowns for the ladies and bow tie and tail coats for the men ; though in American Smooth it is now conventional for the men to abandon the tailsuit in favor of shorter tuxedos, vests, and other creative outfits.

: The barbarians thought that Romans would not be able to cross it without a bridge, and consequently bivouacked in rather careless fashion on the opposite bank ; but he sent across a detachment of Germanic tribesmen, who were accustomed to swim easily in full armour across the most turbulent streams.

If it was instead hilly, wooded, marshy, or urban, armour would be vulnerable to infantry in close-quarters combat and unable to break out at full speed.

The construction and training of motorised forces and a full mobilisation of the rail networks would not begin until 1943 and 1944 respectively.

Though initially a source of pride, many blacks feared the use of African as an identity would be a hindrance to their fight for full citizenship in the US.

The Athenians would have to hold out at Marathon for the time being, although they were reinforced by the full muster of 1, 000 hoplites from the small city of Plataea ; a gesture which did much to steady the nerves of the Athenians, and won unending Athenian gratitude to Plataea.