The fact that there can not be any limit points of the set except in closed intervals follows from the argument used in Lemma 1, namely, that near any tangent point in the C-plane the curves C and Af are analytic, and therefore the difference between them must be a monotone function in some neighborhood on either side of the tangent point.

For it is clear that the total number of ordinary intersections of C and Af must be even ( otherwise, starting in the interior of C, Af could not finally return to the interior ), and the center of rotation at T is the argument of the function, not a value.

The first function is assumed, if the expression in the argument contains more characters or, than characters, and the second function is assumed in the opposite case.

There is no " function " keyword ; instead, a function is indicated by the parentheses of an argument list.

However, in CL it is necessary to explicitly refer to the function namespace when passing a function as an argument — which is also a common occurrence, as in the example above.

Suppose that F is a partial function that takes one argument, a finite binary string, and possibly returns a single binary string as output.

In mathematics and computer science, currying is the technique of transforming a function that takes multiple arguments ( or an n-tuple of arguments ) in such a way that it can be called as a chain of functions each with a single argument ( partial application ).

Each replacement results in a function taking exactly one argument.

Here, is a function that maps an argument y to result z.

That is, takes an argument of type and returns a function of type.

That is, while an evaluation of the first function might be represented as, evaluation of the curried function would be represented as, applying each argument in turn to a single-argument function returned by the previous invocation.

Note that after calling, we are left with a function that takes a single argument and returns another function, not a function that takes two arguments.

Given the definition of above, we might fix ( or ' bind ') the first argument, producing a function of type.

For example, if function div stands for the division operation x / y, then div with the parameter x fixed at 1 ( i. e., div 1 ) is another function: the same as the function inv that returns the multiplicative inverse of its argument, defined by inv ( y )

Partial application makes it easy to define these functions, for example by creating a function that represents the addition operator with 1 bound as its first argument.

He was also pleased with the wide distribution because he thought it proved again his argument that Dallas investment men can do just as good a job as the big New York investment bankers claim only they can do.

Methodism also buttresses this argument with the leg of Sacred Tradition of the Wesleyan Quadrilateral by citing the Church Fathers, many of whom concur with this view.

Amdahl's law, also known as Amdahl's argument, is named after computer architect Gene Amdahl, and is used to find the maximum expected improvement to an overall system when only part of the system is improved.

Powers are usually also written without operator, but with the second argument as superscript.

In the complex case, one can also check that the bilinear form is linear over i in one argument, and conjugate linear in the other.

This also eliminates possible public concerns with animal-derived material, although there are currently no plans to develop synthetic milk, thus making this argument less compelling.

Isaac Newton's rotating bucket argument ( also known as " Newton's bucket ") was designed to demonstrate that true rotational motion cannot be defined as the relative rotation of the body with respect to the immediately surrounding bodies.

: A further argument is that relativistic difficulties about establishing which measurement occurred first also undermine the idea that one observer is causing what the other is measuring.

It is also applied by the Spiritist doctrine as the main argument for the existence of God.

He repeats Acheson's argument that the region lacks major urban centres, but adds that the Maritimes were also lacking the great rivers that led to the cheap and abundant hydro-electric power, key to Quebec and Ontario's urban and manufacturing development, that the extraction costs of Maritime resources were higher ( particularly in the case of Cape Breton coal ), and that the soils of the region were poorer and thus the agricultural sector weaker.

He also presents an argument against qualia ; he argues that the concept is so confused that it cannot be put to any use or understood in any non-contradictory way, and therefore does not constitute a valid refutation of physicalism.

Part of the reason that Hayek stressed the knowledge problem was also because he was mainly concerned with debating the proposal for Market Socialism and the Lange Model by Oskar R. Lange ( 1938 ) and Hayek's student Abba Lerner ( 1934, 1937, 1938 ), which was developed in response to the calculation argument.

Patients also showed improvements in verb argument structure productions and assigned thematic roles to words in utterances with more accuracy.

Some scholars believe that, because the only evidence for the " courts of love " is Andreas Capellanus ’ s book The Art of Courtly Love, they probably never existed ; to further strengthen their argument, they say that there is also no evidence that Marie ever stayed with her mother in Poitiers, beyond her name being mentioned in Andreas ’ s work.

Therefore, c divides the initial remainder r < sub > 0 </ sub >, since r < sub > 0 </ sub > = a − q < sub > 0 </ sub > b = mc − q < sub > 0 </ sub > nc = ( m − q < sub > 0 </ sub > n ) c. An analogous argument shows that c also divides the subsequent remainders r < sub > 1 </ sub >, r < sub > 2 </ sub >, etc.

Heawood noticed Kempe's mistake and also observed that if one was satisfied with proving only five colors are needed, one could run through the above argument ( changing only that the minimal counterexample requires 6 colors ) and use Kempe chains in the degree 5 situation to prove the five color theorem.

A first-order predicate ( also called a monad ) is a predicate that takes only individual ( s ) constants or variables as argument ( s ).

There is also an argument that Frigg and Freyja are part of a triad of goddesses ( together with a third goddess such as Hnoss or Iðunn ) associated with the different ages of womankind.

Finally, there is an argument that Frigg and Freyja are similar goddesses from different pantheons who were first conflated into each other and then later seen as separate goddesses again ( see also Frige ).

This argument also assumes the mediocrity principle, which states that Earth is not special, but merely a typical planet, subject to the same laws, effects, and likely outcomes as any other world.

Orwell liked to provoke argument by challenging the status quo, but he was also a traditionalist with a love of old English values.

Moore is also well known for the so-called " open question argument ", which is contained in his ( also greatly influential ) Principia Ethica.

It is traditionally known as an argument from universal causation, an argument from first cause, the causal argument or the argument from existence.

He uses the Latin " Cogito ergo sum " in the later Principles of Philosophy ( 1644 ), Part 1, article 7: "" At that time, the argument had become popularly known in the English speaking world as " the '' argument ", which is usually shortened to "" when referring to the principle virtually everywhere else.

In classical logic disjunctive syllogism ( historically known as modus tollendo ponens ) is a valid argument form which is a syllogism having a disjunctive statement for one of its premises.

However, this argument has been described as an example of the fallacy of a statistical confounding effect ; it is now known that a herpesvirus, potentiated by HIV, is responsible for AIDS-associated KS.

Flame trolling is the posting of a provocative or offensive message, known as " flamebait ", to a public Internet discussion group, such as a forum, newsgroup or mailing list, with the intent of provoking an angry response ( a " flame ") or argument over a topic the poster often has no real interest in.

Most often, the unqualified term Fourier transform refers to the transform of functions of a continuous real argument, and it produces a continuous function of frequency, known as a frequency distribution.

The unification of two argument graphs is defined as the most general graph ( or the computation thereof ) that is consistent with ( i. e. contains all of the information in ) the inputs, if such a graph exists ; efficient unification algorithms are known.

Godwin's law ( also known as Godwin's Rule of Nazi Analogies or Godwin's Law of Nazi Analogies ) is an argument made by Mike Godwin in 1990 that has become an Internet adage.

Rhett had been alone in the library when Ashley and Scarlett entered, and felt it wiser to not make his presence known while the argument took place.

Social reformer Jeremy Bentham wrote the first known argument for homosexual law reform in England around 1785, at a time when the legal penalty for buggery was death by hanging.

He is best known for his book Walden, a reflection upon simple living in natural surroundings, and his essay, Civil Disobedience, an argument for individual resistance to civil government in moral opposition to an unjust state.

He is best known for his books Walden, a reflection upon simple living in natural surroundings, and his essay, Civil Disobedience, an argument for individual resistance to civil government in moral opposition to an unjust state.

Ignoratio elenchi, also known as irrelevant conclusion, irrelevant thesis or fallacy of distraction, is the informal fallacy of presenting an argument that may in itself be valid, but does not address the issue in question.

In debate or rhetoric, a slippery slope ( also known as thin end of the wedge-or sometimes " edge " in US English-or the camel's nose ) is a classic form of argument, arguably an informal fallacy.

Eventually he arrives at Jesus Christ, and invokes a well-known argument now known as the " Lewis trilemma ".

Moore advanced an argument for the indefinability of " good " ( and demonstrating the " naturalistic fallacy ") which is known as the Open Question Argument.

Harrison argues that the first to set out a satisfactory resolution of the paradox was Lord Kelvin, in a little known 1901 paper, and that Edgar Allan Poe's essay Eureka ( 1848 ) curiously anticipated some qualitative aspects of Kelvin's argument: