So simple, in fact, that it might even work -- although Pamela, now, in her new frame of mind, was careful not to pretend too much assurance.

This understanding provides a very simple example of the fact that one can eliminate fear without instituting any controls.

Faulkner's total works today, and in fact those of his works which existed in 1946 when Mr. Cowley made his comment, or in 1939, when Mr. O'Donnell wrote his essay, reveal no such simple attitude toward the South.

In this domain the simple fact of coexistence in the same local, national, and world community is enough to guarantee that we cannot refrain from having some effect, large or small, upon Gentile-Jewish relations.

In fact, however, the problem is not so simple.

This -- trip of his had nothing to do with her consorting with tenants, and I am going to see that everybody at Mt. Pleasant understands that simple fact.

that any procedure which could " naturally " be called effective, can in fact be realized by a ( simple ) machine.

This section describes what is generally referred to as the " classic RISC pipeline ", which in fact is quite common among the simple CPUs used in many electronic devices ( often called microcontroller ).

During the Cenozoic, mammals proliferated from a few small, simple, generalized forms into a diverse collection of terrestrial, marine, and flying animals, giving this period its other name, the Age of Mammals, despite the fact that birds still outnumbered mammals two to one.

Noting another proof that self-replicating machines are possible is the simple fact that all living organisms are self replicating by definition.

In other words, by the simple fact that he was regarded as a hero, de Gozon was identified with a category, an archetype, which equipped him with a mythical biography from which it was impossible to omit combat with a reptilian monster.

If the outcomes x < sub > i </ sub > are not equiprobable, then the simple average ought to be replaced with the weighted average, which takes into account the fact that some outcomes are more likely than the others.

* He noted the exceptional fact that PSL ( 2, p ) is simple and acts on p points if and only if p is 5, 7, or 11.

The observed charge quantization, namely the fact that all known elementary particles carry electric charges which appear to be exact multiples of of the " elementary " charge, has led to the idea that hypercharge interactions and possibly the strong and weak interactions might be embedded in one Grand Unified interaction described by a single, larger simple symmetry group containing the Standard Model.

Latin terminology is often used to describe modern languages, at times erroneously, as in the application of the term " pluperfect " to the English " past perfect ", the application of " perfect " to what in English more often than not is not " perfective ", or where the German simple and perfect pasts are called respectively " Imperfektum " and " Perfektum ", despite the fact that neither has any real relationship to the aspects implied by the use of the Latin terms.

Following the collapse of the Soviet Union, political movements based on the liberal ideology of free expression and democratic rule have led the opposition in other parts of the world such as Latin America, Eastern Europe and many parts of Asia ; however " the simple fact is that political Islam currently reigns as the most powerful ideological force across the Muslim world today ".

The fact that elemental masses combined in simple fractions implies that all elemental mass stems from a common source.

In fact common criteria ( CC ) at the highest assurance level ( Evaluation Assurance Level ( EAL ) 7 ) has an explicit requirement that the target of evaluation be “ simple ”, an acknowledgment of the practical impossibility of establishing true trustworthiness for a complex system.

Opponents do argue that the simple fact of producing a communication is not by itself leading to a direct result on the public opinion, unless this one is considered as a merely passive mass in front of an irresistible communication ...

In defending this view, reliabilists ( and externalists generally ) are apt to point to examples from simple acts of perception: if one sees a bird in the tree outside his window and thereby gains the belief that there is a bird in that tree, he might not at all understand the cognitive processes that account for his successful act of perception ; nevertheless, it is the fact that the processes worked reliably that accounts for why his belief is justified.

The other method just mentioned auscultation being rendered inadmissible by the age and sex of the patient, I happened to recollect a simple and well-known fact in acoustics,.

Mixed Economy – Fonseca ’ s understanding of the fact that Nicaragua was not, in spite of Browderist interpretations, simply a feudal country and that it had also never really developed its own capitalism surely made it clear that a simple feudalism-capitalism-socialism path was not a rational way to think about the future development of Nicaragua.

Philosophers know all too well, from dealing with for example the problem of substance and the problem of universals, that general " What is " questions ( ti esti questions ) give an overly simple appearance to what is in fact a very complex affair.

" ( Although the " reduction " mentioned is spurious as the two diagrams 3. 4 and 3. 5 are in fact the same ) and also " As we will see on the next few pages, the look-across interpretation introduces several difficulties which prevent the extension of simple mechanisms from binary to n-ary associations.

Many published works mistakenly claim that the strict modern form of the villanelle originated with the medieval troubadours, but in fact medieval and Renaissance villanelles were simple ballad-like songs with no fixed form or length.

Some central ideas of Plato's dialogues are the Theory of Forms, i. e., that the mind is imbued with an innate capacity to understand and contemplate concepts from a higher order preeminent world, concepts more real, permanent, and universal than or representative of the things of this world, which are only changing and temporal ; the idea of the immortal soul being superior to the body ; the idea of evil as simple ignorance of truth ; that true knowledge leads to true virtue ; that art is subordinate to moral purpose ; and that the society of the city-state should be governed by a merit class of propertyless philosopher kings, with no permanent wives or paternity rights over their children, and be protected by an athletically gifted, honorable, duty bound military class.

At the beginning of Book II, Plato's two brothers challenge Socrates to define justice in the man, and unlike the rather short and simple definitions offered in Book I, their views of justice are presented in two independent speeches.

In the shortest of them ( 43 pages as of 2009 ), which he titles " Apology for the Proof of the Riemann Hypothesis " ( using the word " apology " in the rarely used sense of apologia ), he claims to use his tools on the theory of Hilbert spaces of entire functions to prove the Riemann Hypothesis for Dirichlet L-functions ( thus proving GRH ) and a similar statement for the Euler zeta function, and even to be able to assert that zeros are simple.

simple: A Mathematician's Apology

The style of the Apology is exceedingly simple.

Socrates tells Theaetetus that he cannot make out what knowledge is, and is looking for a simple formula for it.

Socrates had spoken of the higher pleasures of the intellect ; the Cyrenaics denied the validity of this distinction and said that bodily pleasures, being more simple and more intense, were preferable.

For passive verbs, the main verb is in the past participle form, giving " I have been taught by Socrates " in the passive present perfect simple form but two forms of " to be " are used for the continuous: " has been being taught ", " The student has been being taught Latin ", rendering the perfect continuous or progressive in the passive voice largely meaningless in English.

Plato had Socrates argue that a state which really followed the simple life would not need a warrior class ; one which was luxurious and aggressive would need a group of philosophers, like Plato himself, to guide and deceive the guardians.

Yet, it's not quite so simple, because after Socrates says than no man has a right to suicide, this is then qualified by the statement "... unless God sends some necessity upon him, as has now been sent upon me.

Plato in Cratylus connects the name with ( apolysis ), " redeem ", with ( apolousis ), " purification ", and with ( aploun ), " simple ", in particular in reference to the Thessalian form of the name,, and finally with ( aeiballon ), " ever-shooting ".

The practical definition may lead to confusion with the definition of a coulomb ( i. e., 1 amp-second ), but in practical terms this means that measures of a constant current ( e. g., the nominal flow of charge per second through a simple circuit ) will be defined in amperes ( e. g., " a 20 mA circuit ") and the flow of charge through a circuit over a period of time will be defined in coulombs ( e. g., " a variable-current circuit that flows a total of 10 coulombs over 5 seconds ").

The introduction of simple auxiliary terms, due to C. F. Gauss ( Dioptrische Untersuchungen, Göttingen, 1841 ), named the focal lengths and focal planes, permits the determination of the image of any object for any system ( see lens ).

Bodyguards act as a shield for the potential target, keeping lookout for potential attackers ( sometimes in advance, for example on a parade route ), and putting themselves in harm's way — both by simple presence, showing that physical force is available to protect the target, and by shielding the target during any attack.

For a Gaussian response system ( or a simple RC roll off ), the rise time is approximated by:

One hundred and fifty more occur with the prefix ge-( reckoning a few found only in the past-participle ), but of these one hundred occur also as simple verbs, and the prefix is employed to render a shade of meaning which was perfectly known and thoroughly familiar except in the latest Anglo-Saxon period.

In simple Ethernet ( without switches or bridges ), data frames are transmitted to all other nodes on a network.

The simple design involved the bogie resting on four leaf springs ( one spring per wheel ), which in turn were connected to the axles.

* Some curves that seem simple, such as the circle, cannot be described exactly by a Bézier or piecewise Bézier curve ; though a four-piece cubic Bézier curve can approximate a circle ( see Bézier spline ), with a maximum radial error of less than one part in a thousand, when each inner control point ( or offline point ) is the distance horizontally or vertically from an outer control point on a unit circle.

Carbohydrates include the common sugar, sucrose ( table sugar ), a disaccharide, and such simple sugars as glucose ( from the digestion of table sugar ) and fructose ( from fruit ), and starches from sources such as cereal flour, rice, arrowroot, and potato.

For example, the rules of the Hebrew calendar depend on the seven-day week cycle ( a very simple calendar ), so the week is one of the cycles of the Hebrew calendar.

Currently, the International Organization for Standardization has introduced a three-letter system of codes ( ISO 4217 ) to define currency ( as opposed to simple names or currency signs ), in order to remove the confusion that there are dozens of currencies called the dollar and many called the franc.

Between the 1960s and the late 1980s, as television news relegated newspaper reading to an occasional basis rather than daily, syndicators were abandoning long stories and urging cartoonists to switch to simple daily gags, or week-long " storylines " ( with six consecutive ( mostly unrelated ) strips following a same subject ), with longer storylines being used mainly on adventure-based and dramatic strips.

A simple electric circuit, where current is represented by the letter i. The relationship between the voltage ( V ), resistance ( R ), and current ( I ) is V = IR ; this is known as Ohm's Law.

In the short term, CERTs perform data gathering, especially to locate mass-casualties requiring professional response, or situations requiring professional rescues, simple fire-fighting tasks ( for example, small fires, turning off gas ), light search and rescue, damage evaluation of structures, triage and first aid.

The Crucifix, a cross with the corpus ( Body of Christ ), is an ancient symbol used within the Catholic, Eastern Orthodox, Anglican, and Lutheran churches, in contrast with some Protestant groups, which use only a simple cross.

Crocheted fabric is begun by placing a slip-knot loop on the hook ( though other methods, such as a magic ring or simple folding over of the yarn may be used ), pulling another loop through the first loop, and repeating this process to create a chain of a suitable length.

The three classes are groups of GF ( 2 ) type ( classified mainly by Timmesfeld ), groups of " standard type " for some odd prime ( classified by the Gilman – Griess theorem and work by several others ), and groups of uniqueness type, where a result of Aschbacher implies that there are no simple groups.

In most cases, cholera can be successfully treated with oral rehydration therapy ( ORT ), which is highly effective, safe, and simple to administer.