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128 Sentences With "not uniquely"

How to use not uniquely in a sentence? Find typical usage patterns (collocations)/phrases/context for "not uniquely" and check conjugation/comparative form for "not uniquely". Mastering all the usages of "not uniquely" from sentence examples published by news publications.

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It should all be concerning, but FaceApp is not uniquely concerning.
California is uniquely aggressive in fighting climate change, but it's not uniquely a victim.
Police are not uniquely corrupt, but they are human, and humans respond to incentives.
Around the world, some politicians require graft for sustenance; gustatory metaphors and euphemisms are not uniquely American.
More notably, though, is that the sunken place is a metaphor that does not uniquely apply to Dre.
But even if economics is not uniquely ideological, its biases are often more salient than those within chemistry.
That is sooooo 2010s—actually, not uniquely 2010s, even though we have coworking spaces that make that simpler.
Planned Parenthood, an organization geared toward women's health specifically — although not uniquely — is one place where these biases don't exist.
In Italy, there are towns and small cities like Albi at every turn, especially but not uniquely in the south.
It's just one of several sites in Central Europe, Portugal and Spain that indicates circular henge monuments are not uniquely British.
But it is not uniquely a Russian issue; athletes from several other countries, including Sweden and Georgia, have also tested positive.
Not only is Mr. Trump not uniquely qualified to fix the country's infrastructure, but he seems wholly unsuited to the task.
The_Donald is not uniquely dysfunctional in the history of Reddit, but it is unique in Reddit leadership's continued tolerance of its behavior.
Ammons's authority relied upon his presentation of himself as an ordinary person, not uniquely or exclusively called to the vocation of writing poems.
It was an exceptionally (though not uniquely) sophisticated society from at least the mid-14th century, rich with literature, madrasas and thousands of students.
So while it's weird that Trump is minting a government coin with his face on it, it's not uniquely bad in and of itself.
RY: Haha um I think I don't agree with the premise here ... right now, video games are NOT uniquely equipped for intimacy or LGBTQ experiences.
The approach prudently leverages the cloud to handle common applications and non-mainframe infrastructure as a service that are essential, though not uniquely mission-critical.
But it's also not uniquely bad for an app that uses image data, and it's not bad because the company that created the app is Russian.
" Quoting the trial judge in the case, Justice Ginsburg wrote that "these characteristics make Alaska 'highly, if not uniquely, vulnerable to corruption in politics and government.
Momentum's central insight—which Engler and Saavedra are quick to acknowledge is not uniquely theirs—is that there are two dominant traditions of organizing in the United States.
Silva has — not uniquely, but more than most — changed the way the Premier League sees itself; he has played a role in ending the tyranny of the powerhouse.
At this point in his tenure, Trump's standing is strong in his own party, but not uniquely so, and weaker with the public overall than almost any recent president.
At this stage of the game, it is up to the other side to convince us that Trump's approach is in fact not uniquely suited to this American moment.
Well, safe to say, Alice's AI chit-chat feature is not uniquely proofed against controversy — and apparently quickly went off the rails, a la Microsoft's Tay AI bot last year.
But as I've previously written, black people are not uniquely predisposed to crime, black communities do indeed care about crime within black communities, and black people are proactively addressing these problems.
In terms of evolution of language, the results suggest that the capacity to process meaning and emotion in different parts of the brain and tie them together is not uniquely human.
"The threat these tactics pose to our democracy are not uniquely Russian, which is why it is imperative that the companies get a handle on the problem now and not later," Mr. Warner said.
Kavanaugh was obviously Trump's preferred pick—possibly because of his stance on investigations of the president—but he's not uniquely qualified; there's a literal list of judges who would have extremely similar views on a whole range of issues.
Her desire, as a Jew trying to grasp the concept of tikkun olam, or "repairing the world," and to "reconcile the violence I see on the news in Gaza and elsewhere," seems to me, if not uniquely Jewish, then definitely so.
Over 22 million comments were submitted; while estimates of how many were either fakes (widely reported to have involved mass identity fraud using real names), duplicates, or bulk-submitted form letters vary, there is general agreement that the vast majority were not uniquely written letters.
Yet unusually, if not uniquely, the Heisman Trust, which administers the trophy, carves out a special space for those who, it could be argued, know best what it takes to be considered the college football season's exemplary player, a collection of luminaries that includes Paul Hornung, Roger Staubach, Bo Jackson, Barry Sanders, Tim Tebow and Cam Newton.
The idea that everything is a competition, that to appear less than strong is the same as actually being weak and that weakness is a sin, that it is better to be certain about a lie than work to understand a more complicated truth—no one exactly likes living like this, but there is a pressure, among men if not uniquely upon them, to appear to have mastered it all the same.
"His mind was freshly inclined toward sorrow," Saunders writes of Lincoln, "toward the fact that the world was full of sorrow, that everyone labored under some burden of sorrow; that all were suffering; that whatever way one took in this world, one must try to remember that all were suffering (none content; all wronged, neglected, overlooked, misunderstood), and therefore one must do what one could to lighten the load of those with whom one came into contact; that his current state of sorrow was not uniquely his, not at all, but, rather, its like had been felt, would yet be felt, by scores of others, in all times, in every time, and must not be prolonged or exaggerated, because, in this state, he could be of no help to anyone and, given that his position in the world situated him to be either of great help or great harm, it would not do to stay low, if he could help it."
In other words, while the composition law is not uniquely defined, it is unique up to a contractible choice.
Singularism does not uniquely entail realism (and vice versa) and multiplism does not uniquely entail constructivism (and vice versa). Orthodox combinations include singularist-realism and multiplist- constructivism. Heterodox combinations include singularist-constructivism and multiplist-realism.Krausz, “Interpretation and Its Objects.” Krausz affirms that the contest between singularism and multiplism is logically detachable from the contest between realism and constructivism.
This suggests that this tendency had already evolved in the common ancestors of humans and chimpanzees and is not uniquely human, but describes a conceptual metaphorical mapping that predates language.
Although this does not uniquely identify a Chinese character, it leaves only a very short list of possibilities. A fifth digit can be added to describe an extra part above the bottom-right if necessary.
The wealthiest cities were located near the coast. At the centre of the society was the married couple, tusurthir. The Etruscans were a monogamous society that emphasized pairing. Similarly, the behaviour of some wealthy women is not uniquely Etruscan.
PSA is present in small quantities in the serum of men with healthy prostates, but is often elevated in the presence of prostate cancer or other prostate disorders. PSA is not uniquely an indicator of prostate cancer, but may also detect prostatitis or benign prostatic hyperplasia.
The (red) side edges of tetragonal disphenoid represent a regular zig-zag skew quadrilateral. In geometry, a skew polygon is a polygon whose vertices are not all coplanar. Skew polygons must have at least 4 vertices. The interior surface (or area) of such a polygon is not uniquely defined.
Vocal imitation is not uniquely human as well. Songbirds seem to acquire species-specific songs by imitating. Because nonhuman primates do not have a descended larynx, they lack vocal imitative capacity, which is why studies involving these primates have taught them nonverbal means of communication, e.g., sign language.
In fact, longitude is not uniquely defined at the poles. This discontinuity, however, is only apparent; it is an artifact of the coordinate system chosen, which is singular at the poles. A different coordinate system would eliminate the apparent discontinuity, e.g. by replacing the latitude/longitude representation with an -vector representation.
In his 1966 article with the title "Can one hear the shape of the drum" Kac asked the question whether two resonators ("drums") of different geometrical shapes can have exactly the same set of frequencies ("sound tones"). The answer was positive, meaning that the eigenfrequency set does not uniquely characterize the shape of a resonator.
More generally, there are infinitely many cubics that pass through the nine intersection points of two cubics (Bézout's theorem implies that two cubics have, in general, nine intersection points) Likewise, for the conic case of n = 2, if three of five given points all fall on the same straight line, they may not uniquely determine the curve.
It is called a shear plane if any (or all) of its ternary rings are left quasifields. The plane does not uniquely determine the ring; all 4 nonabelian quasifields of order 9 are ternary rings for the unique non- Desarguesian translation plane of order 9. These differ in the fundamental quadrilateral used to construct the plane (see Weibel 2007).
An information retrieval process begins when a user enters a query into the system. Queries are formal statements of information needs, for example search strings in web search engines. In information retrieval a query does not uniquely identify a single object in the collection. Instead, several objects may match the query, perhaps with different degrees of relevancy.
Co. v. Rubber Co., whereby simply adding "Company" to the end of a product name does not uniquely identify the company.. The dissenting judge feared that the decision would allow larger companies that had better resources to perform "Teflon surveys" and other consumer recognition tests could win out smaller companies in trademark dispute cases simply because of the domain name addition.
A typical representation of the forgetting curve. In contrast to conventional formal learning, the user is not uniquely trained before using software, but receives hints, tips and help as soon as a problem occurs when applying a software in everyday work.Sleight, Deborah Alpert, In: Michigan State University, Fakultät für Erziehungspsychologie: What is Electronic Performance Support and What Isn't?.. 1993, retrieved 19.
By adding a "dispersive" or "random-mixing physical" term, it better predicts mixtures of molecules with both polar and non-polar groups. However, separate calculation of the dispersive and quasi-chemical terms means the contact surfaces are not uniquely defined. The GEQUAC model advances DISQUAC slightly, by breaking polar groups into individual poles and merging the dispersive and quasi-chemical terms.
San Francisco: Jossey Bass and understanding how common the problem is.[Yalom, I. (1995). The theory and practice of group psychotherapy. New York: Basic Books Those who suffer, many of whom participated in violence as a matter of social expectation, find it beneficial to know that they are having a normal reaction to an abnormal situation, and are not uniquely cowardly or crazy.
DSC is used widely for examining polymeric materials to determine their thermal transitions. Important thermal transitions include the glass transition temperature (Tg), crystallization temperature (Tc), and melting temperature (Tm). The observed thermal transitions can be utilized to compare materials, although the transitions alone do not uniquely identify composition. The composition of unknown materials may be completed using complementary techniques such as IR spectroscopy.
Raftery suggests that perhaps some hillforts were used as places of last refuge. However, this could not have possibly been the case with Aileach. Without reading the histories of the site, the physical presence of the three ramparts confirms that whoever the occupant, their status was quite, if not uniquely, high. The ramparts are meant to be seen rather than used.
The diamond graph, generically rigid but not uniquely realizable A framework has a unique realization in d-dimensional space if every placement of the same graph with the same edge lengths is congruent to it. Such a framework must necessarily be rigid, because otherwise there exists a continuous motion bringing it to a non-congruent placement with the same edge lengths, but unique realizability is stronger than rigidity. For instance, the diamond graph (two triangles sharing an edge) is rigid in two dimensions, but it is not uniquely realizable because it has two different realizations, one in which the triangles are on opposite sides of the shared edge and one in which they are both on the same side. Uniquely realizable graphs are important in applications that involve reconstruction of shapes from distances, such as triangulation in land surveying,.
Third-wave feminists proclaim themselves as the most inclusive wave of feminism. Critics have noted that while progressive, there is still exclusion of women of color. Black feminists argue that "the women rights movements were not uniquely for the liberation of Blacks or Black Women. Rather, efforts such as women's suffrage and abolition of slavery ultimately uplifted, strengthened, and benefited White society and White women".
By far the largest community is Valira, the former seat of the former deme. As the name is not unique and is not uniquely Greek some maps label it Valira-Ithome. However, the only community ever called Ithome in the territory was what is now Archaia Messene, the ruins of a large ancient city, which early in its ancient existence was called Ithome. A somewhat larger territory around it was Messana.
For more properties and a generalization of the partial trace, see traced monoidal categories. If is a general associative algebra over a field , then a trace on is often defined to be any map which vanishes on commutators: for all . Such a trace is not uniquely defined; it can always at least be modified by multiplication by a nonzero scalar. A supertrace is the generalization of a trace to the setting of superalgebras.
The paleontologists had a habit of making hasty telegrams eastward describing their finds, only publishing fuller accounts after returning from trips. Among the new specimens described by the men were Uintatherium, Loxolophodon, Eobasileus, Dinoceras, and Tinoceras. The problem was that many of these finds were not uniquely different from each other; in fact, Cope and Marsh knew that some of the fossils they were collecting had already been found by the others.Thomson, 235.
Another viewpoint is that conjugate points tell when the geodesics fail to be length-minimizing. All geodesics are locally length-minimizing, but, for example, on a sphere, any geodesic passing through the north-pole can be extended to reach the south-pole, and hence any geodesic segment connecting the poles is not (uniquely) globally length minimizing. This tells us that any pair of antipodal points on the standard 2-sphere are conjugate points.Cheeger, Ebin.
The cells of the ACC develops at the age of 4 months suggesting that the manifestations of mind-blindness may occur around this time. In addition to the anterior paracingulate cortex, there is the superior temporal sulcus and the temporal poles that are involved with the ToM and its nature. However, these areas are not uniquely associated with mentalization. They aid in the activation of the regions that are associated with the ToM.
1985 In the late 1980s, it was noticed that such a Calabi-Yau manifold does not uniquely determine the physics of the theory. Instead, one finds that there are two Calabi-Yau manifolds that give rise to the same physics.Dixon 1988; Lerche, Vafa, and Warner 1989 These manifolds are said to be "mirror" to one another. This mirror duality is an important computational tool in string theory, and it has allowed mathematicians to solve difficult problems in enumerative geometry.
The algorithm computes the sets S_i in increasing order of i. As soon as one of the S_i contains a word from C or the empty word, then the algorithm terminates and answers that the given code is not uniquely decodable. Otherwise, once a set S_i equals a previously encountered set S_j with j, then the algorithm would enter in principle an endless loop. Instead of continuing endlessly, it answers that the given code is uniquely decodable.
Italian rental agreements on real estate properties are not uniquely regulated by the written pact agreed by the owner and the tenant. Italian civil law requires a correspondence between the destination of use (e.g. residential, commercial activity) agreed by the contractual parties and the effective destination of use adopted by the tenant after his take of possession of the property. In the case of relevant differences, the owner has the faculty to resolve the contract for grave non-fulfillment.
Charters have been criticized on other grounds, but not uniquely to Harlem, except for objections to there being so many charters in Harlem competing with public non charter schools for classroom space. Transfers of teachers involuntarily into Harlem in the 1960s, by sending the teachers to schools with difficult students, were reputedly intended by the City's Board of Education to drive unwanted teachers out of the profession altogether.Kohl, Herbert R., 36 Children (N.Y.: New American Library (Plume book) (div.
Diptera thorax: Notopleuron The notopleuron (plural notopleura) is a region on an insect thorax. Notopleura are useful in characterizing species, particularly, though not uniquely, in the Order Diptera (the "true flies"). The notopleuron is a thoracic pleurite (a sclerite on the pleuron) situated at the end of the transverse suture of Diptera. Apart from in the Diptera, visible notopleural structures occur in the beetle suborder Adephaga and in certain Hemiptera, but this list is not exhaustive.
During the Achaemenid conquest of the Indus Valley circa 515 BCE, the Achaemenid army was not uniquely Persian, and the Sakas probably participated in the invasion of northwestern India. The Achaemenid army was composed of many different ethnicities that were part of the vast Achaemenid Empire. The army included Bactrians, Sakas (Scythians), Parthians, Sogdians. Herodotus gives a full list of the ethnicities of the Achaemenid army, in which are included Sakas together with Ionians (Greeks), and even Ethiopians.
Paramount was able to prove that Kane did not uniquely originate or have claim to the Betty Boop style of singing or look. In addition to adducing Baby Esther's performances, they showed performances by actress Clara Bow, who also had the Betty Boop style of dress and hair. Louis Bolton was brought in court to testify. Bolton told the court that he had no idea where Esther was, and he thought that she was "probably still" in Paris.
There are cases where such checks simply revealed an inheritance, and no further questions were raised. Detecting other vulnerabilities may come from things that are simply good management. If someone is constantly clashing with colleagues, it is good people management, not uniquely security management, for a manager to talk with the individual, or have them talk to an Employee Assistance Program. It is not considered a disqualification to seek mental health assistance; it may be considered excellent judgement.
The zoo attracted a degree of international attention when it was reported in March 2009 that a chimpanzee residing there had planned attacks on visitors. Santino planned attacks by taking stones from the protective moat and placing them only on the side facing the visitors on the island where he lives. Later, when the visitors arrived, he would throw the stones across the moat at them. This shows that the cognitive ability for forward planning is not uniquely human.
In 1991 President Lech Wałęsa decided that their sentences were legally forgotten which would allow them to work again. Still this declaration and following it legal procedure, has not been confirmed by the Supreme Court, which in January 2002 ruled that the conviction of the Kowalczyks could not be appealed, justifying it mainly but not uniquely by the reasons of the legal procedure. The ruling closed the appeal possibilities in this case. This entry is based on Polish Wikipedia article :pl:Bracia Kowalczykowie.
A young girl shares a pleasant emotional experience with her mother The social sharing of emotions is a phenomenon in the field of psychology that concerns the tendency to recount and share emotional experiences with others. According to this area of research, emotional experiences are not uniquely fleeting and internal. Scientific studies of catastrophes and important life events demonstrate the propensity of victims to talk about their experiences and express their emotions.Rimé, B. (2005) Le partage social des émotions. Puf. France.
Septimal meantone can be extended to the 11-limit, but not uniquely. It is possible to take the interval of 11 by means of 18 fifths up and 7 octaves down, so that an 11:4 is made up of nine tones (e.g. C-E). The 11 is pure using this method if the fifth is of size 697.30 cents, very close to the fifth of 74 equal temperament. On the other hand, 13 meantone fourths up and two octaves down (e.g.
Illuminant and white point are separate concepts. For a given illuminant, its white point is uniquely defined. A given white point, on the other hand, generally does not uniquely correspond to only one illuminant. From the commonly used CIE 1931 chromaticity diagram, it can be seen that almost all non-spectral colors (all except those on the line of purples), including colors described as white, can be produced by infinitely many combinations of spectral colors, and therefore by infinitely many different illuminant spectra.
384, equation (IIa.). This equation may be described as follows: ::In a thermodynamic process involving a closed system, the increment in the internal energy is equal to the difference between the heat accumulated by the system and the work done by it. Because of its definition in terms of increments, the value of the internal energy of a system is not uniquely defined. It is defined only up to an arbitrary additive constant of integration, which can be adjusted to give arbitrary reference zero levels.
Acetone has been shown to have anticonvulsant effects in animal models of epilepsy, in the absence of toxicity, when administered in millimolar concentrations. It has been hypothesized that the high-fat low- carbohydrate ketogenic diet used clinically to control drug-resistant epilepsy in children works by elevating acetone in the brain. Because of their higher energy requirements, children have higher acetone production than most adults – and the younger the child, the higher the expected production. This indicates that children are not uniquely susceptible to acetone exposure.
Since the fingerprint is primarily based on the browser, operating system, and installed graphics hardware it does not uniquely identify users. In a small-scale study with 294 participants from Amazon's Mechanical Turk, an experimental entropy of 5.7 bits was observed. The authors of the study suggest more entropy could likely be observed in the wild and with more patterns used in the fingerprint. While not sufficient to uniquely identify users by itself, this fingerprint could be combined with other sources of entropy to provide a unique identifier.
First, he points out that descriptions believed by speakers about a referent are not uniquely specifying, and thus are incapable of fixing reference. His second line of criticism states that even in those limited cases where the speaker does believe something uniquely specifying, what is uniquely specified turns out not to be the referent. Two other issues arise by way of recapitulation: First, Kripke concedes that there exist certain limited cases where descriptions do in fact determine reference. In these cases, however, they do no other semantic work.
As the recipient of a mobile call pays airtime, standard mobile phone numbers are not uniquely different from land-line numbers and thus follow the same format and area codes as for land-lines. Numbers may be ported between landline and mobile. The rarely used non-geographic area code 600 is one exception to this pattern (non-portable, and allows caller-pays-airtime satellite telephony); some independent landline exchanges are also non-portable. Mobile phone providers had supported either CDMA or GSM; both are being supplanted by UMTS.
While the open canvas shelter is not uniquely Finnish, the shape of modern loue was developed by writer Aarne Erkki Järvinen and presented for the first time in Metsästys ja kalastus-magazine in 1931 [1]. After World War II, the loue was popular in Finland among boy scouts and through books of Kullervo Kemppinen and Olli Aulio. Originally the loue was made out of cotton tent canvas, later nylon fabric. The Finnish makers cited in the External links incorporate a reflective silver lining to make the space warmer.
With microcontrollers (entire computer systems integrated onto single chips), the use of different memory technologies for instructions (e.g. flash memory) and data (typically read/write memory) in von Neumann machines is becoming popular. The true distinction of a Harvard machine is that instruction and data memory occupy different address spaces. In other words, a memory address does not uniquely identify a storage location (as it does in a von Neumann machine); it is also necessary to know the memory space (instruction or data) to which the address belongs.
Certain states are defined to be accepting states. An input stream is fed into the machine one character at a time, and the state transitions for the current state are compared to the input stream, and if there is a matching transition the machine may enter a new state. If at the end of the input stream the machine is in an accepting state, then the whole input stream is accepted. ;Nondeterministic finite automaton (NFA): Another simple model of computation, although its processing sequence is not uniquely determined.
Map of the Old Swiss Confederacy 1536 showing the religious division The success of the Reformation in Zürich and its rapid territorial expansion definitely made this religious renewal a political issue and a major source of conflict between the thirteen cantons. The alpine cantons of Uri, Schwyz, Unterwalden, Lucerne, and Zug remained staunchly Catholic. Their opposition was not uniquely a question of faith; economic reasons also played a role. Besides on agriculture, their economy depended to a large degree on the mercenary services and the financial recompensations for the same.
Infinity- categories are a variant of classical categories where composition of morphisms is not uniquely defined, but only up to contractible choice. In general, it does not make sense to say that a diagram commutes strictly in an infinity-category, but only that it commutes up to coherent homotopy. One can define an infinity-category of spectra (as done by Lurie). One can also define infinity-versions of (commutative) monoids and then define A_\infty-ring spectra as monoids in spectra and E_\infty-ring spectra as commutative monoids in spectra.
In the case of the ideal gas, we count two states of an atom as the "same" state if their positions and momenta are within δx and δp of each other. Since the values of δx and δp can be chosen arbitrarily, the entropy is not uniquely defined. It is defined only up to an additive constant. (As we will see, the thermodynamic definition of entropy is also defined only up to a constant.) To avoid coarse graining one can take the entropy as defined by the H-theorem.
Fischer's allegations caused a deep controversy throughout the academic world, particularly in West Germany. His arguments caused so much anger that his publisher's office in Hamburg was firebombed. His works inspired other historians, such as Gerhard Ritter, to write books and articles against his war-aims thesis. Many critics claim that Fischer placed Germany outside the proper historical context. They argue that Germany was not uniquely aggressive amongst European nations of the early 20th century, a time when Social Darwinist views of struggle were popular in Europe's ruling classes.
While only France and Belgium had laws that banned the full-face veil, the Court found that bans were debated also in other countries and that there existed no European consensus on whether a ban was legitimate or not.CASE OF S.A.S. v. FRANCE (2014), p. 57 The Court put some weight on the fact that the ban targeted all kinds of face covering, and not uniquely targeted face covering for religious reasons, and likewise to the fact that the penalties was among the very mildest possible (small fine or mandatory citizenship course).
The power factor in a single-phase circuit (or balanced three-phase circuit) can be measured with the wattmeter-ammeter- voltmeter method, where the power in watts is divided by the product of measured voltage and current. The power factor of a balanced polyphase circuit is the same as that of any phase. The power factor of an unbalanced poly phase circuit is not uniquely defined. A direct reading power factor meter can be made with a moving coil meter of the electrodynamic type, carrying two perpendicular coils on the moving part of the instrument.
Because hypergolic rockets do not need an ignition system, they can fire any number of times by simply opening and closing the propellant valves until the propellants are exhausted and are therefore uniquely suited for spacecraft maneuvering and well suited, though not uniquely so, as upper stages of such space launchers as the Delta II and Ariane 5, which must perform more than one burn. Restartable non-hypergolic rocket engines nevertheless exist, notably the cryogenic (oxygen/hydrogen) RL-10 on the Centaur and the J-2 on the Saturn V. The RP-1/LOX Merlin on the Falcon 9 can also be restarted.
The above property characterizes free groups up to isomorphism, and is sometimes used as an alternative definition. It is known as the universal property of free groups, and the generating set S is called a basis for FS. The basis for a free group is not uniquely determined. Being characterized by a universal property is the standard feature of free objects in universal algebra. In the language of category theory, the construction of the free group (similar to most constructions of free objects) is a functor from the category of sets to the category of groups.
It is the twisted Chern class defined in Twisted K-theory and the K-theory of Bundle Gerbes by Peter Bouwknegt, Alan L. Carey, Varghese Mathai, Michael K. Murray and Danny Stevenson and extended in Chern character in twisted K-Theory: Equivariant and holomorphic cases. The authors have shown that twisted Chern characters are always elements of the H-twisted de Rham cohomology. Unlike the improved field strengths, the original field strengths G's are untwisted, integral cohomology classes. In addition the G's are not gauge-invariant, which means that they are not uniquely defined but instead may only be defined as equivalence classes.
First, when V is not locally convex, the continuous dual may be equal to {0} and the map Ψ trivial. However, if V is Hausdorff and locally convex, the map Ψ is injective from V to the algebraic dual of the continuous dual, again as a consequence of the Hahn–Banach theorem.If V is locally convex but not Hausdorff, the kernel of Ψ is the smallest closed subspace containing {0}. Second, even in the locally convex setting, several natural vector space topologies can be defined on the continuous dual , so that the continuous double dual is not uniquely defined as a set.
Some of the modern literature might seem to apply "temperament ordinaire" as if it is (or might have been, in the 17th or 18th centuries) a kind of proper name or conventional label of some particular tuning arrangement(s). Perhaps it is an open question whether this was ever so. The status that the phrase actually had at that time is relevant in turn to the substantive question of what actual tuning (or range of tunings) the phrase was then used to refer to. The examples above show, at least, that the temperament so referred to was not uniquely identified.
Homogeneous coordinates are not uniquely determined by a point, so a function defined on the coordinates, say , does not determine a function defined on points as with Cartesian coordinates. But a condition defined on the coordinates, as might be used to describe a curve, determines a condition on points if the function is homogeneous. Specifically, suppose there is a k such that :f(\lambda x, \lambda y, \lambda z) = \lambda^k f(x,y,z).\, If a set of coordinates represent the same point as then it can be written for some non- zero value of λ.
In magnetic confinement fusion the zonal direction primarily connotes the poloidal direction (i.e. the short way around the torus), the corresponding coordinate being denoted by y in the slab approximation or θ in magnetic coordinates. However, in the fusion context, usage is restricted to the context of zonal plasma flows and there will in general be a toroidal component in such flows as well. Thus, although the term zonal has come into use in plasma physics to emphasize an analogy with zonal flows in geophysics, it does not uniquely identify the direction of flow, unlike the case in geophysics.
The four-room house was unlike the typical Canaanite-Phoenician dwelling, which had a layout where some rooms could be entered only by passing through other rooms, hence showing a hierarchy of access. Although sometimes considered particularly Israelite, this idea has been challenged. Ziony Zevit writes that although "[t]he Iron Age pillared houses, the "four-room house," are not uniquely Israelite", listing up several Iron Age non-Israelite sites where such houses were found, he nevertheless states that they are unlike the older, "Late Bronze II pillared house discovered at Tel Batash", and finally concludes that, all considered, "they are characteristic of Israelite sites." Their origins are uncertain.
After a periplus of 30 months, Scylax is said to have returned to Egypt near the Red Sea, and the seas between the Near East and India were made use of by Darius. Also according to Herodotus, the territories of Gandhara, Sattagydia, Dadicae and Aparytae formed the 7th province of the Achaemenid Empire for tax-payment purposes, while Indus (called Ἰνδός, "Indos" in Greek sources) formed the 20th tax region. ;Achaemenid army Greek Ionian (Yavanas), Scythian (Sakas) and Persian (Parasikas) soldiers of the Achaemenid army, as described on Achaemenid royal tombs from circa 500 to 338 BCE. The Achaemenid army was not uniquely Persian.
Trivially, the zero module {0} is injective. Given a field k, every k-vector space Q is an injective k-module. Reason: if Q is a subspace of V, we can find a basis of Q and extend it to a basis of V. The new extending basis vectors span a subspace K of V and V is the internal direct sum of Q and K. Note that the direct complement K of Q is not uniquely determined by Q, and likewise the extending map h in the above definition is typically not unique. The rationals Q (with addition) form an injective abelian group (i.e.
When the point P happens to be located on the same circle as A, B and C, the problem has an infinite number of solutions; the reason is that from any other point P' located on the arc APB of this circle the observer sees the same angles alpha and beta as from P (inscribed angle theorem). Thus the solution in this case is not uniquely determined. The circle through ABC is known as the "danger circle", and observations made on (or very close to) this circle should be avoided. It is helpful to plot this circle on a map before making the observations.
As a rule, in a system with non-abelian anyons, there is a composite particle whose statistics label is not uniquely determined by the statistics labels of its components, but rather exists as a quantum superposition (this is completely analogous to how two fermions known to have spin 1/2 are together in quantum superposition of total spin 1 and 0). If the overall statistics of the fusion of all of several anyons is known, there is still ambiguity in the fusion of some subsets of those anyons, and each possibility is a unique quantum state. These multiple states provide a Hilbert space on which quantum computation can be done.
The Pearson symbol does not uniquely identify the space group of a crystal structure, for example both the NaCl structure, (space group Fmm) and diamond (space group Fdm) have the same Pearson symbol cF8. Confusion also arises in the rhombohedral lattice which is alternatively described in a centred hexagonal (a=b, c, α=β=90º, γ=120º) or primitive rhombohedral (a=b=c, α=β=γ) setting. The more commonly used hexagonal setting has 3 translation equivalent points per unit cell. The Pearson symbol refers to the hexagonal setting in its letter code (hR) but the following figure gives the number of translation equivalent points in the primitive rhombohedral setting.
Baudoinia compniacensis is not uniquely associated with spirit maturation and manufacture as one sample that was examined came from a commercial bakery, although the fermentation byproducts of yeast include ethanol and its vapors. Ethanol vapor appears to be important in habitat determinant and Baudoinia species may occur in association with natural fermentative processes, such as seasonal fruit drops, bogs, natural composts, etc. B. compniacensis may also occur around places where automotive fuel is stored or transferred, as ethanol is required to be blended with gasoline in most countries. It has been recorded through the radula marks left following grazing, as a well utilized food source of snails and slugs.
This electoral performance was not uniquely bad; all four Parnellite candidates in the province of Ulster at this election performed almost equally poorly, the best score being 123 votes at Mid Tyrone. North Westmeath was a straight fight between Parnellite and Anti-Parnellite, but Blane lost heavily here also, with under 12 per cent of the vote. Blane was unusual in being a working-class member of the Irish Parliamentary Party, and seems to have encountered some prejudice as a result. Parnell is reported to have said, on encountering him for the first time, ‘Who is that convict-looking fellow?’.Lyons (1977), p.343.
24-isopropyl cholestane is produced copiously by a particular group of sponges in the class Demospongiae within the phylum Porifera. Like other molecular fossils, the presence of 24-isopropyl cholestane in rocks may indicate whether demosponge were living in or near the rock's depositional environment. High abundances of 24-isopropyl cholestane are identified in the Precambrian rocks from the Hufq supergroup in Oman, suggesting the presence of sponges prior to the Cambrian explosion. However, sponges are not the only organisms that produce 24-isopropyl cholestane, so the identification of this biomarker is not uniquely linked to the presence of demosponge. While marine pelagophyte algae predominantly produce 24-n-propylcholestane, they also produce 24-isopropyl cholestane.
The CEO of the Australian Beverages Council, Geoff Parker, has responded that his industry cites other studies besides Brand-Miller's 2011 study to support their view that sugar is not uniquely linked to obesity. In response to Robertson's allegations, Sydney University, Brand-Miller's employer, launched an investigation to determine if she is guilty of research misconduct. A spokesperson for the university said there were "...no substantiated claims against the work of any academic at the university, nor indeed has there been any finding that the complaints warrant any further investigation". In July 2014, Brand-Miller and Barclay were cleared of misconduct by a six-month investigation conducted by Robert Clark of the University of New South Wales.
The paradox was first published by Colin Maclaurin. Cramer and Leonhard Euler corresponded on the paradox in letters of 1744 and 1745 and Euler explained the problem to Cramer. It has become known as Cramer's paradox after featuring in his 1750 book Introduction à l'analyse des lignes courbes algébriques, although Cramer quoted Maclaurin as the source of the statement. At about the same time, Euler published examples showing a cubic curve which was not uniquely defined by 9 pointsEuler, L. "Sur une contradiction apparente dans la doctrine des lignes courbes." Mémoires de l'Académie des Sciences de Berlin 4, 219-233, 1750 and discussed the problem in his book Introductio in analysin infinitorum.
IMO team selection in Germany is based on the main national mathematical competitions: The Bundeswettbewerb Mathematik (BWM, the former west German olympiad), the Deutsche Mathematik-Olympiade (DeMO, the former east German olympiad), and Jugend forscht (a research competition). Students successful in any of these competitions (e. g. a prize in the second round of the BWM) write two 3-hour exams at their schools, and the 16 best scorers of these exams are invited to a training program consisting of five seminars, where lectures are given and seven team selection tests are written - 4-hour exams determining the actual IMO contestants (additional tests are possible if the team is not uniquely determined after the seven exams).
Unfortunately, there are many ROHF based MP2-like methods because of arbitrariness in the ROHF wavefunction(for example HCPT, ROMP, RMP (also called ROHF-MBPT2), OPT1 and OPT2, ZAPT, IOPT, etc.). Some of the ROHF based MP2-like theories suffer from spin-contamination in their perturbed density and energies beyond second- order. These methods, Hartree–Fock, unrestricted Hartree–Fock and restricted Hartree–Fock use a single determinant wave function. Multi-configurational self-consistent field (MCSCF) methods use several determinants and can be used for the unperturbed operator, although not uniquely, so many methods, such as complete active space perturbation theory (CASPT2), and Multi-Configuration Quasi-Degenerate Perturbation Theory (MCQDPT), have been developed.
115 Not everyone shared Lalo's view; some audience members equated undemonstrativeness with dullness: Reynaldo Hahn commented, "[Messager] is not a master of the theatre ["chef du théâtre"], being too exclusively musical; he sets too much store by detail without feeling the spirit of the public behind him, and does not understand the variable musical flow that makes one hold one's breath, sigh and wait."Quoted in Wagstaff, pp. 38–39 Nevertheless, Hahn admired Messager as an orchestral conductor: > André Messager is the most French of conductors; I mean that in this art he > embodies sharpness. Grace and clarity are not uniquely French qualities: > they are frequently found among the Italians and even some Germans.
The concept of the gens was not uniquely Roman, but was shared with communities throughout Italy, including those who spoke Italic languages such as Latin, Oscan, and Umbrian as well as the Etruscans. All of these peoples were eventually absorbed into the sphere of Roman culture.Titus Livius, Ab Urbe Condita, Book IIDictionary of Greek and Roman Biography and Mythology, William Smith, Editor The oldest gentes were said to have originated before the foundation of Rome (traditionally 753 BC), and claimed descent from mythological personages as far back as the time of the Trojan War (traditionally ended 1184 BC). However, the establishment of the gens cannot long predate the adoption of hereditary surnames.
Dr. Aliza le Roux of the university's Department of Zoology and Entomology believes that dishonesty and punishment are not uniquely human traits, and that the observed evidence of this behaviour among gelada monkeys suggests that the roots of the human system of deceit, crime and punishment lie very deep indeed. Mixed- species association was observed between solitary Ethiopian wolves and geladas. According to the study's findings, gelada monkeys would not typically move on encountering Ethiopian wolves, even when they were in the middle of the herd—68 percent of encounters resulted in no movement and only 11 percent resulted in a movement of greater than . In stark contrast, the geladas always fled great distances to the cliffs for safety whenever they encountered aggressive domestic dogs.
He found Sulloway's view that Freud was a "scientific heir" of Darwin and other 19th-century evolutionary thinkers convincing. He believed that Sulloway made clear that "most of Freud's ideas remain remarkably contemporary", and concluded that while Sulloway showed that "many of the concepts attributed to Freud are not uniquely his", his biography "increases, in a realistic way, the appreciation of Freud's genius." Haeberle wrote that the book had "gained considerable attention and justified praise", calling it a model of scholarship. He credited Sulloway with carefully retracing Freud's intellectual development and placing psychoanalysis in a wider historical context through the use of many original sources, such as Freud's library, showing how Freud's thinking was related to the biological theories of his time.
The magic angle is a particular value of the collection angle of an electron microscope at which the measured energy-loss spectrum "magically" becomes independent of the tilt angle of the sample with respect to the beam direction. The magic angle is not uniquely defined for isotropic samples, but the definition is unique in the (typical) case of small angle scattering on materials with a "c-axis", such as graphite. The "magic" angle depends on both the incoming electron energy (which is typically fixed) and the energy loss suffered by the electron. The ratio of the magic angle \theta_M to the characteristic angle \theta_E is roughly independent of the energy loss and roughly independent of the particular type of sample considered.
Griffith summed up his ideas in the book by comparing the relative status of Hungary vis-à-vis Austria and Ireland vis-à-vis Great Britain: He advocated a policy of abstentionism from the institutions of the United Kingdom and a return to the Constitution of 1782 agreed between the British government and the Parliament of Ireland in 1782. Griffith called his new party, Sinn Féin, a "King, Lords and Commons Party".ibid. The Anglo-Irish Empire idea, though strongly associated with Griffith, was not uniquely his creation. As early as the mid-1880s Lord Salisbury, leader of the Conservative Party had contemplated using the 1867 Austro-Hungarian example as a model for a reformed relationship between Britain and Ireland.
Fractals have been used in antennas since 1988 and their advantagesJohn Volakis, Ch-Chi Chen, and Kyohei Fujimoto," Small Antennas", ch. 3.2.5, McGraw Hill, 2010 are good multiband performance, wide bandwidth, and small areaMichael Frame, and Nathan Cohen, "Benoit Mandelbrot: A Life in Many Dimensions", ch 8: "Fractal Antenna and Fractal Resonator Primer", ch 8.4, World Scientific Press, 2015 and that reference showed that the gain with small size results from constructive interference with multiple current maxima, afforded by the electrically long structure in a small area. Some researchers have disputed that fractal antennas have superior performance. Steven R. Best in 2003 observed "that antenna geometry alone, fractal or otherwise, does not uniquely determine the electromagnetic properties of the small antenna".
We record here definitions from . Let be the Coxeter complex associated to a group W generated by a set of reflections S. The vertices of are the elements of W, and the chambers of the complex are the cosets of S in W. The vertices of each chamber can be colored in a one-to-one manner by the elements of S so that no adjacent vertices of the complex receive the same color. This coloring, although essentially canonical, is not quite unique. The coloring of a given chamber is not uniquely determined by its realization as a coset of S. But once the coloring of a single chamber has been fixed, the rest of the Coxeter complex is uniquely colorable.
On May 5, 2003, Mohler appeared on NPR's Fresh Air with Terry Gross to ponder the issue of evangelization of the Iraqis. At issue was whether the coupling of evangelizing with basic human aid relief might be perceived as aggressive or coercive by the Iraqi people, and whether such a perception, if widespread, might place other relief workers in jeopardy. Mohler argued that biblical, evangelical Christianity is not uniquely American, but exists as a movement throughout the world, so that Christian witnessing is not, in his view, to be interpreted as a move on the part of any single nation against the religion of another. At the same time, however, Mohler acknowledged the need for "sensitivity," and distanced himself from the idea that religion coerced.
The recovery for the Baja California pronghorn is affected by many different factors. Like most pronghorn species, adequate nutrition is crucial for survival, but not uniquely to the Baja California pronghorn, human population increase and land development have drastically reduced their habitat. This creates barriers that do not allow genetic diversity and reduce the total area these animals can use to forage for food and find water. Conservation efforts must be conducted to save the habitat of the species; these can include stopping development in the current ranges of the Baja California pronghorn and reducing the number of males in the population, which will allow more genetic diversity and open up more habitat for females that are the key to recovery of the population.
There is another covariant functor from the category of abelian groups to the category of torsion-free groups that sends every group to its quotient by its torsion subgroup, and sends every homomorphism to the obvious induced homomorphism (which is easily seen to be well-defined). If A is finitely generated and abelian, then it can be written as the direct sum of its torsion subgroup T and a torsion-free subgroup (but this is not true for all infinitely generated abelian groups). In any decomposition of A as a direct sum of a torsion subgroup S and a torsion-free subgroup, S must equal T (but the torsion-free subgroup is not uniquely determined). This is a key step in the classification of finitely generated abelian groups.
He participated on international juries for acousmatic composition competitions in France and abroad. Two distinct esthetic periods characterized his work. During the first, from 1977 to 1987, he placed an emphasis on the ties unifying acousmatic music and painting, ties arising from the use of a common permanent working surface which permitted the painter to directly place his colors on the canvas in the way the composer immediately captures sonorities on 'magnetic tape'. He expressed this analogy and attempted to explore its ramifications in virtually all the works of this period (Métamorphose d’un jaune citron, 1978, Bleus et formes, 1981...). In the second period, from 1987 to the present, following upon this initial preoccupation, he presented the idea of a ‘spatial polyphony’ (a ‘polyphony’ of spaces and not uniquely of sounds).
Several measures of statistical dispersion are defined in terms of the absolute deviation. The term "average absolute deviation" does not uniquely identify a measure of statistical dispersion, as there are several measures that can be used to measure absolute deviations, and there are several measures of central tendency that can be used as well. Thus, to uniquely identify the absolute deviation it is necessary to specify both the measure of deviation and the measure of central tendency. Unfortunately, the statistical literature has not yet adopted a standard notation, as both the mean absolute deviation around the mean and the median absolute deviation around the median have been denoted by their initials "MAD" in the literature, which may lead to confusion, since in general, they may have values considerably different from each other.
Jennifer Paull is an oboe d'amore (alto oboe) soloist. Her career has been spent in researching, instigating, commissioning and publishing repertoire for the oboe d'amore and subsequently, the other rare members of the oboe family of instruments. Her aim has been to make this virtually forgotten instrument into a contemporary recital voice, not uniquely one of the Baroque with which it was virtually exclusively associated when she began this mission during her studies at the Royal College of Music, London (1964). Edwin Carr was the first international composer to write for her during the late 1960s and others followed as she became known for her specialisation and her acclaimed performance as a soloist. Insufficient material had existed before her pioneering work to sustain a recital career on the oboe d’amore.
The net external torque on any system is always equal to the total torque on the system; in other words, the sum of all internal torques of any system is always 0 (this is the rotational analogue of Newton's Third Law). Therefore, for a closed system (where there is no net external torque), the total torque on the system must be 0, which means that the total angular momentum of the system is constant. The conservation of angular momentum helps explain many observed phenomena, for example the increase in rotational speed of a spinning figure skater as the skater's arms are contracted, the high rotational rates of neutron stars, the Coriolis effect, and the precession of gyroscopes. In general, conservation does limit the possible motion of a system, but does not uniquely determine what the exact motion is.
However, there exist uniquely 3-edge-colorable graphs that do not fit into this classification, such as the graph of the triangular pyramid. If a cubic graph is uniquely 3-edge-colorable, it must have exactly three Hamiltonian cycles, formed by the edges with two of its three colors, but some cubic graphs with only three Hamiltonian cycles are not uniquely 3-edge-colorable . Every simple planar cubic graph that is uniquely 3-edge-colorable contains a triangle , but observed that the generalized Petersen graph G(9,2) is non- planar, triangle-free, and uniquely 3-edge-colorable. For many years it was the only known such graph, and it had been conjectured to be the only such graph (see and ) but now infinitely many triangle-free non-planar cubic uniquely 3-edge-colorable graphs are known .
The Koine Greek terms used in the New Testament of the structure on which Jesus died are stauros (σταυρός) and xylon (ξύλον). Those words, which can refer to many different things, do not indicate the precise shape of the structure. Scholars have long known that the Greek word stauros and the Latin word crux did not uniquely mean a cross. They have known too that the words had that meaning also, and so have not considered necessarily incorrect the traditional picture of a cross with transom. The ambiguity of the terms was noted by Justus Lipsius in his De Cruce (1594),Justus Lipsius, De Cruce (Ex officina Plantiniana, apud viduam & Joannem Moretum, 1594) Jacob Gretser in his De Cruce Christi (1598)Jacob Gretser, De cruce Christi, rebusque ad eam pertinentibus (Sartorius 1598) and Thomas Godwyn in his Moses and Aaron (1662).
In a commentary in the Financial Times entitled "Olympus's deceit was dishonourable", John Gapper noted that "It is still possible to believe that the accused trio of directors ... thought they were behaving honourably ... [in hiding] failure discreetly and not to make their predecessors lose face." He noted that accounting scandals were not uniquely Japanese, but that it was "a nice piece of corporate satire to conceal losses by exploiting the widespread habit of paying too much for acquisitions and writing them down – the 'advisory fee' was especially creative". Gapper criticised the weakness in governance, particularly how 12 out of 15 directors were either executives or former executives of the company, and that Hideo Yamada, head of the Audit Board, was complicit in the scam. He also noted that auditors KPMG and Ernst & Young would have to answer tough questions about why the manipulation was never discovered or properly questioned.
The study of algebraic curves can be reduced to the study of irreducible algebraic curves: those curves that cannot be written as the union of two smaller curves. Up to birational equivalence, the irreducible curves over a field F are categorically equivalent to algebraic function fields in one variable over F. Such an algebraic function field is a field extension K of F that contains an element x which is transcendental over F, and such that K is a finite algebraic extension of F(x), which is the field of rational functions in the indeterminate x over F. For example, consider the field C of complex numbers, over which we may define the field C(x) of rational functions in C. If y2 = x3 − x − 1, then the field C(x, y) is an elliptic function field. The element x is not uniquely determined; the field can also be regarded, for instance, as an extension of C(y). The algebraic curve corresponding to the function field is simply the set of points (x, y) in C2 satisfying y2 = x3 − x − 1\.
"Ice deposits found at Moon's pole", BBC News, 2 March 2010 The radar's high CPR is not uniquely diagnostic of either roughness or ice; the science team must take into account the environment of the occurrences of high CPR signal to interpret its cause. The ice must be relatively pure and at least a couple of meters thick to give this signature. The estimated amount of water ice potentially present is comparable to the quantity estimated from the previous mission of Lunar Prospector's neutron data. Although the results are consistent with recent findings of other NASA instruments onboard Chandrayaan-1 (the Moon Mineralogy Mapper (MP3) discovered water molecules in the Moon's polar regions, while water vapour was detected by NASA's Lunar Crater Observation and Sensing Satellite, or LCROSS) this observation is not consistent with the presence of thick deposits of nearly pure water ice within a few meters of the lunar surface, but it does not rule out the presence of small (<∼10 cm), discrete pieces of ice mixed in with the regolith.
Caird 1956, passim And, as in his work on the historical Jesus, the importance of political concerns in Christianity remains central in his taking on of such varied topics as the modern Christian attitude to war ("War and the Christian"), the status of women in society ("Paul and Women's Liberty"), and Apartheid. With regard to the last, his addresses to the South African Dutch Reformed Church (during his tenure in 1975-1976 as Moderator of the United Reformed Church) were later distilled and published as South Africa: Reflections on a Visit. A clarion call for the modern Christian Church's renunciation of racism, it demonstrated that for Caird the gospel, while profoundly religious, is not uniquely religious; it penetrates to all areas of personal and collective human activity. His work as a humanitarian and churchman is perhaps best reflected in Our Dialogue with Rome: The Second Vatican Council and After, which his close friend Henry Chadwick called "a memorable little book" that attempts to bring some order out of the morass of Protestant-Roman Catholic dialogue, "with its unexpected moments of sudden joy and usually more numerous tears".

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