One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.

One of the mechanisms by which T-helper cells are depleted is apoptosis, which results from a series of biochemical pathways:

One group, consisting of Cleome and related genera, was traditionally included in the Capparaceae but doing so results in a paraphyletic Capparaceae.

One of the results of the one-drop rule was uniting the African-American community.

One of the most common objections to rule-consequentialism is that it is incoherent, because it is based on the consequentialist principle that what we should be concerned with is maximizing the good, but then it tells us not to act to maximize the good, but to follow rules ( even in cases where we know that breaking the rule could produce better results ).

One such online system, the Anima Project, gathers user results into a master database which is then analyzed using a variety of statistical techniques.

But follow-up studies have ( depending on who was summarizing the results ) failed to replicate the phenomenon or produced mixed results ( Bem & others, 2001 ; Milton & Wiseman, 2002 ; Storm, 2000, 2003 ). One skeptic, magician James Randi, has a longstanding offer — now U. S. $ 1 million —“ to anyone who proves a genuine psychic power under proper observing conditions ” ( Randi, 1999 ).

One of the mathematical constructs that enables experimenters to predict very accurately certain experimental results is sometimes called a probability wave.

One of the cases involves two men, Smith and Jones, who are awaiting the results of their applications for the same job.

One of the positive results of the campaign was GAR ( Golden Agri-Resources ), the world's second largest palm oil production company, deciding to commit itself to forest conservation.

One study's results showed that it produced ( in order of descending quantities ) 55. 91 % solid products: potassium carbonate, potassium sulfate, potassium sulfide, sulfur, potassium nitrate, potassium thiocyanate, carbon, ammonium carbonate and 42. 98 % gaseous products: carbon dioxide, nitrogen, carbon monoxide, hydrogen sulfide, hydrogen, methane, 1. 11 % water.

He captained the One Day International team to 99 wins out of 138 matches with one tied match and three no results.

One of the known actual results is that fewer convicts escape during temporary release.

One wall of the great tower, various parts of the outer bailey and the battlements were destroyed, but not before the building was surveyed by the antiquarian William Dugdale, who published his results in 1656.

One account of how the new band's name was chosen held that Moon and Entwistle had suggested that the supergroup with Page and Beck would go down like a " lead balloon ", a British idiom for disastrous results.

* One of Hamlet ’ s chief opponents at court was Laertes, the son of Polonius, while Oxford continually sought the help of Robert Cecil, the son of Lord Burghley, to seek the queen's favour, with no results.

One collection of possible results gives an odd number on the die.

One of the most prominent aspects of the papal election process is the means by which the results of a ballot are announced to the world.

One collection of possible results corresponds to getting an odd number.

One of the first standard results using the class equation is that the center of a non-trivial finite p-group cannot be the trivial subgroup ( proof ).

One common feature of many RPGs is the role of gamemaster, a participant who has special duties to present the fictional setting, arbitrate the results of character actions, and maintain the narrative flow.

One aspect that can affect the results is the use of electric versus gas kilns.

One form is the appropriation of the ideas and results of others, and publishing as to make it appear the author had performed all the work under which the data was obtained.

One good example is classical electromagnetism, which encompasses results derived from gauge symmetry ( sometimes called gauge invariance ) in a form of a few equations called Maxwell's equations.

One such method was the fast Fourier transform.

One year later, Alan L. Mackay showed experimentally that the diffraction pattern from the Penrose tiling had a two-dimensional Fourier transform consisting of sharp ' delta ' peaks arranged in a fivefold symmetric pattern.

One image of spots is insufficient to reconstruct the whole crystal ; it represents only a small slice of the full Fourier transform.

One of the most important advantages of Fourier transform spectroscopy was shown by P. B.

One can show that if is infinitely differentiable, then the numerical algorithm using Fast Fourier Transforms will converge faster than any polynomial in the grid size h. That is, for any n > 0, there is a < math > C <

One Fourier inversion theorem assumes that f is Lebesgue-integrable, i. e., the integral of its absolute value is finite:

One can prove directly from the Fourier slice theorem and change of variables for integration that for a compactly supported continuous function ƒ of two variables

One of the most basic forms of time – frequency analysis is the short-time Fourier transform ( STFT ), but more sophisticated techniques have been developed, notably wavelets.

One of the major problems in the subject is to determine, for any specified multiplier m, whether the corresponding Fourier

One can view the multiplier operator T as the composition of three operators, namely the Fourier transform, the operation of pointwise multiplication by m, and then the inverse Fourier transform.

One can show that this is equivalent to a Fourier transformed spectrum as a function of frequency.

One of the most commonly used PSD methods is the discrete Fourier transform.

One of Titan's most intensive uses was to compute the inverse Fourier Transforms of data from the One-Mile Radio Telescope.

One can show that the Fourier transform of the momentum in quantum mechanics is the position operator.

One way to understand what this equation is doing is to remember how Fourier analysis works.

One issue that must be faced is the relative difficulty of analysis of different phonologic subsystems.

One core result of Holzkamp's historical and comparative analysis of human reproductive action, perception and cognition is a very specific concept of meaning that identifies symbolic meaning as historically and culturally constructed, purposeful conceptual structures that humans create in close relationship to material culture and within the context of historically specific formations of social reproduction.

One of the earliest examples of detective fiction is Voltaire's Zadig ( 1748 ), which features a main character who performs feats of analysis.

One example of the evolution of the Latin verse form can be seen in a comparative analysis of the use of spondees in Ennius ' time vs. the Augustan age.

" One commentary characterizes the remark as making economics an approach rather than a subject matter but with great specificity as to the " choice process and the type of social interaction that analysis involves.

One of the most commonly used methods for qualitative research in educational psychology is protocol analysis.

One of the fundamental statistical methods used by econometricians is regression analysis.

One year later, the FBI decided to stop doing bullet lead analysis.

One of the open problems in functional analysis is to prove that every bounded linear operator on a Hilbert space has a proper invariant subspace.

One of the first applications of spatial analysis in epidemiology is the 1832 " Rapport sur la marche et les effets du choléra dans Paris et le département de la Seine ".

One of the more modern branches of harmonic analysis, having its roots in the mid-twentieth century, is analysis on topological groups.

One approach, the task-oriented job analysis, involves an examination of the duties, tasks, and / or competencies required by a job.

One of Rousseau's last pieces of writing was a critical yet enthusiastic analysis of Gluck's opera Alceste.

" One may introduce arguments for and against this proposition, based upon such things as standards of statistical analysis, the definition of " overweight ," etc.

One classical or traditional analysis of ' knowledge ' is justified true belief.

One advantage of writing code in a referentially transparent style is that given an intelligent compiler, static code analysis is easier and better code-improving transformations are possible automatically.

He said, " One may view mechanics as a geometry of four dimensions, and mechanical analysis as an extension of geometric analysis ".

One strand conformation polymorphism analysis ( OSCP ) on the major histocompatibility complex ( MHC ) class I domain taken from various locations across Tasmania showed 25 different types, and showed a different pattern of MHC types in north-western Tasmania to eastern Tasmania.

One of the Wheatstone bridge's initial uses was for the purpose of soils analysis and comparison.

One such technique involves depositing conductive pads near the analysis area to minimize regional charging.

One analysis is that U. S. strategy underestimated the strength and determination remaining in the psyche of the German soldier, believing his fighting spirit to have totally collapsed under the stress of the Normandy breakout and the reduction of the Falaise Pocket.

One of Michael Faraday's significant works was The Chemical History of a Candle, where he gives an in-depth analysis of the evolutionary development, workings and science of candles.

One of the substances discovered in the tail by spectroscopic analysis was the toxic gas cyanogen, which led astronomer Camille Flammarion to claim that, when Earth passed through the tail, the gas " would impregnate the atmosphere and possibly snuff out all life on the planet.