His assumption seems to be that any such friends, being tolerable humans, must be more liberal than most Southerners and therefore at least partly in sympathy with his views.

The nonreactors had been separated into two groups on this assumption with the presumably `` secure '' nonreactors and `` secure '' reactors being used as the groups for comparative personality studies.

The underlying assumption, of course, is that only sight and touch enable us, in any precise and fully dependable way, to locate objects in space beyond us, the other senses being decidedly inferior, if not totally inadequate, in this regard.

Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.

Another risk occurs if the items being bought and sold are not identical and the arbitrage is conducted under the assumption that the prices of the items are correlated or predictable ; this is more narrowly referred to as a convergence trade.

This argument rests on the assumption that one can have a " moral " discussion on various scales ; that is, what is " good " for: a certain part of your being ( leaving open the possibility of conflicting motives ), you as a single individual, your family, your society, your species, your type of species.

Rousseau furthered this assumption in Emile where he made a standpoint against students being subordinate to teachers and that memorization of facts would not lead to an education.

Kites were known throughout Polynesia, as far as New Zealand, with the assumption being that the knowledge diffused from China along with the people.

The assumption being that the glass was once uniform, but has flowed to its new shape, which is a property of liquid.

Under the monopsonistic assumption, an appropriately set minimum wage could increase both wages and employment, with the optimal level being equal to the marginal productivity of labor.

His argument relies on the assumption that boundary conditions supply degrees of freedom that instead of being random are determined by higher level realities whose properties are dependent, but distinct, from the lower level from which they emerge.

However, it may not be possible to empirically test or falsify the rationality assumption, so that the theory leans heavily toward being a tautology ( true by definition ) since there is no effort to explain individual goals.

By the turn of the century, ethnic self-determination had become an assumption held as being progressive and liberal.

In a trusted source it is said " It is argued that, given the assumption that criminals are currently being punished too severely in Western countries, the apprehension of more criminals may not constitute a reason in favor of racial profiling at all.

The fundamental assumption of the relational model is that all data is represented as mathematical n-ary relations, an n-ary relation being a subset of the Cartesian product of n domains.

The assumption here is a simple one, to the effect that the observer should know that the observations obtained are representative of the problem, topic or class of objects being studied.

Uncritical commentaries often portray evolution as a ladder of progress, leading towards bigger, faster, and smarter organisms, the assumption being that evolution is somehow driving organisms to get more complex and ultimately more like humankind.

The decay assumption is part of many theories of short-term memory, the most notable one being Baddeley's model of working memory.

Canegrati ( 2007 ) demonstrated that if we move from the assumption that governments do not maximise the welfare of society but the probability of winning elections, the tax rates in equilibrium are lower for the most powerful groups of society, instead of being the lowest for the poorest as in the optimal theory of direct taxation developed by Atkinson and Joseph Stiglitz.

The proof relies on the assumption that mass is constant ; this is valid only in non-relativistic systems in which no mass is being ejected.

As for the composition date of Mozart's Variations, for a time the variations were thought to have been composed in 1778, while Mozart stayed in Paris from April to September in that year, the assumption being that the melody of a French song could only have been picked up by Mozart while residing in France.

Various methods for becoming a werewolf have been reported, one of the simplest being the removal of clothing and putting on a belt made of wolfskin, probably as a substitute for the assumption of an entire animal skin ( which also is frequently described ).

According to Don Frew, Valiente composed the couplet, following Gardner's statement that witches " are inclined to the morality of the legendary Good King Pausol, ' Do what you like so long as you harm none '"; he claims the common assumption that the Rede was copied from Crowley is misinformed, and has resulted in the words often being misquoted as " an it harm none, do what thou wilt " instead of " do what you will ".

* June 20 – Compromise of 1790: Thomas Jefferson, James Madison, and Alexander Hamilton come to an agreement: Madison agrees to not be " strenuous " in opposition for the assumption of state debts by the federal government ; Hamilton agrees to support the capital site being above the Potomac.

That is, the observation is framed in terms of the theory that also contains the hypothesis it is meant to verify or falsify ( though of course the observation should not be based on an assumption of the truth or falsity of the hypothesis being tested ).

The United Nations Security Council Resolution 1546 in 2004 looked forward to the end of the occupation and the assumption of full responsibility and authority by a fully sovereign and independent Interim Government of Iraq.

On 8 June 2004, the United Nations Security Council resolution 1546 was adopted unanimously, calling for " the end of the occupation and the assumption of full responsibility and authority by a fully sovereign and independent Interim Government of Iraq by 30 June 2004.

Her 2004 book It's The Crude, Dude: War, Big Oil and the Fight for the Planet is an investigation of United States foreign policy from the assumption that it acts in order to secure its supply of petroleum products, particularly in light of the recent actions of the United States in Iraq.

The mass scale used in Table 5-1 was derived on the assumption that the motion of the glowing trail is related to the momentum transfer to the trail by the meteorite, permitting the calculation of the mass if the velocity is known ( Cook and Whipple, 1958 ).

The assumption that there is no arbitrage is used in quantitative finance to calculate a unique risk neutral price for derivatives.

Sometimes a conjecture is called a hypothesis when it is used frequently and repeatedly as an assumption in proofs of other results.

This assumption is related to, but is not the same as, the above used assumption that the pressure of the body of calorimetric material is known as a function of its volume and temperature ; anomalous behaviour of materials can affect this relation.

In the 1890s, Planck was able to derive the blackbody spectrum which was later used to avoid the classical ultraviolet catastrophe by making the unorthodox assumption that, in the interaction of radiation with matter, energy could only be exchanged in discrete units which he called quanta.

The cryptographic security of PGP encryption depends on the assumption that the algorithms used are unbreakable by direct cryptanalysis with current equipment and techniques.

Rationality ( here equated with " wanting more rather than less of a good ") is widely used as an assumption of the behavior of individuals in microeconomic models and analysis and appears in almost all economics textbook treatments of human decision-making.

Statistical analyses of data involve making certain types of assumption, whether or not a formal statistical model is used.

This includes not only its selection of animal badges for Cub Scouts, but the underlying assumption that American native peoples are more closely connected with nature and therefore have special wilderness survival skills which can be used as part of the training program.

This kind of extension is used so constantly in contemporary mathematics based on set theory that it can be called an implicit assumption.

The fallacy of petitio principii, or " begging the question ", is committed " when a proposition which requires proof is assumed without proof ", or more generally denotes when an assumption is used, " in some form of the very proposition to be proved, as a premise from which to deduce it ".

I had already used the obvious word hypothesis in the sequence hypothesis, and in addition I wanted to suggest that this new assumption was more central and more powerful.

Eudoxus used 27 concentric spherical solids to answer Plato's challenge: " By the assumption of what uniform and orderly motions can the apparent motions of the planets be accounted for?

For instance, if body A exerts a force of magnitude F on body B, and B exerts a force of magnitude f on A, then the ratio F / f is always equal to 1, regardless of the actual units used to measure F and f. This is a fundamental property of dimensionless proportions and follows from the assumption that the laws of physics are independent of the system of units used in their expression.

An underlying assumption of a brute-force attack is that the complete keyspace was used to generate keys, something that relies on an effective random number generator, and that there are no defects in the algorithm or its implementation.

" used to solicit agreement or confirmation is also heard regularly amongst speakers in Australia ( where it is sometimes spelled " ay " on the assumption that " eh " would rhyme with " heh " or " meh ").

Fortunately, there are often large regions of a flow where the assumption of irrotationality is valid, which is why potential flow is used for various applications.

There are conflicting data concerning the importance of this layer, and these are explained in the literature either by the existence of an additional signaling positional mechanism that interacts with the reelin cascade, or by the assumption that mice that are used in such experiments have redundant secretion of reelin compared with more localized synthesis in the human brain.

The rational expectations assumption is used in many contemporary macroeconomic models, game theory and other applications of rational choice theory.

Nonetheless, any assumption of Bermudian demographics that is based on census returns, or other sources derived from them, suffers from anecdotal evidence being the basis of all of the data, in asking Bermudians to self-identify, without resorting to any documentary evidence or genetic studies being used to confirm their ancestry, if not their identification.

Using big-O notation, the performance of the interpolation algorithm on a data set of size N is O ( N ); however under the assumption of a uniform distribution of the data on the linear scale used for interpolation, the performance can be shown to be O ( log log N ).