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 possible solution for this is to add a functional tumor suppressor gene onto the DNA to be integrated ; however, this poses its own problems, since the longer the DNA is, the harder it is to integrate it efficiently into cell genomes.

One key distinction is the purpose for the practice ; handloaders often seek smaller batches of high-quality ammunition, whereas reloaders are said to make large quantities of ammunition that does not need to be of as high quality but at least one authority ( McPherson ) holds that a better distinction for these connotations is that, regardless of quantity, handloads tend to be of generally high quality while reloads tend to be merely functional.

One approach to measure theory is to start with a Radon measure, defined as a positive linear functional on C ( X ).

One might expect that by the Hahn-Banach theorem for bounded linear functionals, every bounded linear functional on C < sub > c </ sub >( X ) extends in exactly one way to a bounded linear functional on C < sub > 0 </ sub >( X ), the latter being the closure of C < sub > c </ sub >( X ) in the supremum norm, and that for this reason the first statement implies the second.

Michael Lynch, in a 2009 book Truth as One and Many, argued that we should see truth as a functional property capable of being multiply manifested in distinct properties like correspondence or coherence.

One protozoa called Oxytricha in response to stress, is capable of splitting its chromosomes into thousands of pieces which are then reassembled into a ' distinct kind of functional genome '.

One contains two or more isocyanate functional groups ( with formula – N = C = O ) and the other contains two or more hydroxyl groups ( with formula – OH ).

One exon, coding for only two amino acids near the protein's C-terminus, undergoes alternative splicing, but the exact functional impact of this is unknown.

One type of analysis that can help with this is called the functional hazard analysis, based on Aerospace Recommended Practise.

One third of them had indoor toilets, a rarity in a society typically featuring public banks of outdoor seats in urban environments, side by side, an arrangement for which the flowing robes of the ancients were suitably functional.

One unusual feature of the i860 was that the pipelines into the functional units were program-accessible, requiring the compilers to order instructions carefully in the object code to keep the pipelines filled.

One approach to team leadership examines action-oriented environments, where effective functional leadership is required to achieve critical or reactive tasks by small teams deployed into the field.

One then defines an eigenvector for a commutative algebra as a vector v such that for all one has for a linear functional

One of his conjectures states that these L-functions satisfy a certain functional equation generalizing those of other known L-functions.

One of the most renowned examples is C #, which includes imperative and object-oriented paradigms as well as some support for functional programming through type inference, anonymous functions and Language Integrated Query.

One therapy model based on neuroscience, called " neurological music therapy " ( NMT ), is " based on a neuroscience model of music perception and production, and the influence of music on functional changes in non-musical brain and behavior functions.

One group's function could serve as another group's dysfunction, and a general incident could turn out to be both functional and dysfunctional for the same group.

One of the few fully functional music hall entertainments, is at the Brick Lane Music Hall in a former church in North Woolwich.

One of the most widely used aspects of functional programming in dynamic languages is the closure, which allows creating a new instance of a function which retains access to the context in which it was created.

One example is flared leg jeans ; although this article of clothing may still be perfectly functional, it is no longer desirable because style trends have moved away from the flared leg cut.

One year after transplantation more than 95 % of all patients are still alive and 80-85 % of all pancreases are still functional.

One model of neuropsychological functioning is known as functional localization.

One false move on his part and he would be a dead man.

One part of her audience was totally engaged, the connoisseur witnessing a peculiarly fine performance of some ancient classic, the other part, the guest of the connoisseur, attentive as one who must take an intelligent interest in that which he does not fully understand.

The exercise I shall discuss in this -- the first of a new series of articles on muscle definition-specialization of a particular body part -- is the One Leg Lunge.

One social-class factor which plays a large part in educational policy today is the fact that a great many school and college teachers are upward mobile from urban lower-class and lower-middle-class families.

One had to manage the given subjects, three diverse recent events, so as to make them part of a classical frieze, -- that is, a pattern of large figures filling the space, with not much else, against a blank background.

One definition of paternalism is `` The principle or practice, on the part of a government, of managing the affairs of a country in the manner of a father dealing with his children ''.

The Anglican Communion considers itself to be part of the One, Holy, Catholic and Apostolic Church and to be both Catholic and Reformed.

One effect of the Communion's dispersed authority has been that conflict and controversy regularly arise over the effect divergent practices and doctrines in one part of the Communion have on others.

One can get by without referring to charts, but they are an important tool and a part of good anchoring gear, and a skilled mariner would not choose to anchor without them.

One particularly fine example was included as part of the Thetford treasure from fourth century Norfolk, UK.

One theory holds that Agade was situated opposite Sippar on the left bank of the Euphrates, and was perhaps the oldest part of the city of Sippar.

One theory is that they or part of them dwelt or moved among other coastal people perhaps confederated up to the basin of the Saale ( in the neighbourhood of the ancient canton of Engilin ) on the Unstrut valleys below the Kyffhäuserkreis, from which region the Lex Angliorum et Werinorum hoc est Thuringorum is believed by many to have come.

On the west side of Hawkcraig Point there is a short concrete jetty that was used as part of the development of radio controlled torpedoes during World War One.

One has to look deep into the meaning of religion in order to fully appreciate it and make it a genuine part of one's life.

Five kinds of Phaseolus beans were domesticated by pre-Columbian peoples: common beans ( Phaseolus vulgaris ) grown from Chile to the northern part of what is now the United States, and lima and sieva beans ( Phaseolus lunatus ), as well as the less widely distributed teparies ( Phaseolus acutifolius ), scarlet runner beans ( Phaseolus coccineus ) and polyanthus beans ( Phaseolus polyanthus ) One especially famous use of beans by pre-Columbian people as far north as the Atlantic seaboard is the " Three Sisters " method of companion plant cultivation:

One part of the attire covers the breasts and the other part covers the groin and part of or the entire buttocks, leaving an uncovered area between the two.

One way to trace this decline of the continuo and its figured chords is to examine the decline of the term obbligato, meaning a mandatory instrumental part in a work of chamber music.

One such incident played an important part in the history of the Maccabean Revolt against the Seleucid Empire.

The Oral Torah is the primary guide for Jews to abide by these terms, as expressed in tractate Gittin 60b, " the Holy One, Blessed be He, did not make His covenant with Israel except by virtue of the Oral Law " to help them learn how to live a holy life, and to bring holiness, peace and love into the world and into every part of life, so that life may be elevated to a high level of kedushah, originally through study and practice of the Torah, and since the destruction of the Second Temple, through prayer as expressed in tractate Sotah 49a " Since the destruction of the Temple, every day is more cursed than the preceding one ; and the existence of the world is assured only by the kedusha ... and the words spoken after the study of Torah.

One of the American League's eight charter franchises, the club was founded in Detroit in as part of the Western League.

One of Thomas ' most popular works was the short essay A Child's Christmas in Wales, which after being released as part of a recording, in which Thomas read his own work, became his most popular prose work in America.

One theory is the events are stored into memory before the conscious part of the brain even receives the information and processes it.