In many cases such a selection can be made without invoking the axiom of choice ; this is in particular the case if the number of bins is finite, or if a selection rule is available: a distinguishing property that happens to hold for exactly one object in each bin.

" If I have learned a formula in gibberish which in any way jogs my memory so as to enable me in each single case to act as though I had a general idea, what possible utility is there in distinguishing between such a gibberish ... and an idea?

In the case of Chinese characters, this sometimes leads to controversies over distinguishing the underlying character from its variant glyphs ( see Han unification ).

This is the ambiguous case and two different triangles can be formed from the given information, but further information distinguishing them can lead to a proof of congruence.

This is widely not the case any longer ; although it is usually considered a demarcation issue, distinguishing " liberal " from " conservative " presbyterian denominations.

The Maya ICBG case was among the first to draw attention to the problems of distinguishing between benign forms of bioprospecting and unethical biopiracy, and to the difficulties of securing community participation and prior informed consent for would-be bioprospectors.

The uncertainty in distinguishing between the painting of Giorgione and the young Titian is most apparent in the case of the Louvre's Pastoral Concert, described in 2003 as " perhaps the most contentious problem of attribution in the whole of Italian Renaissance art ", but affects a large number of paintings possibly from Giorgione's last years.

In this case as well as the application validating the user ( not much use if the application is rogue )-the users devices validates the application-hence distinguishing rogue applications from genuine applications

In the case where it is a form of theft, distinguishing between embezzlement and larceny can be tricky.

For a case that exemplifies the difficulty of distinguishing larceny and embezzlement see State v. Weaver, 359 N. C. 246 ; 607 S. E. 2d 599 ( 2005 ).

The case was considered important in terms of distinguishing between upholding the common law rule of " no copyright in facts ", and applying the common law doctrine of misappropriation through the tort of unfair competition.

In the case where it is a form of theft, distinguishing between embezzlement and larceny can be tricky.

For a case that exemplifies the difficulty of distinguishing larceny and embezzlement see State v. Weaver, 359 N. C. 246 ; 607 S. E. 2d 599 ( 2005 ).

The notorious case of the Duke of York in connexion with his abuse of military patronage furnished Croker with an opportunity for distinguishing himself.

Its name suggests it is a mere, a lake that is broad in relation to its depth, but despite the name this is not the case for Windermere, which in particular has a noticeable thermocline, distinguishing it from typical meres.

* Spray paint: Painting a case is another method of distinguishing your work from others.

Imperial Madams, ranking below Empress, aren't often distinguished in English from imperial Concubines, the next lower rank, but these were also titles of significance within the imperial household, and Imperial Madams might be translated as Consorts with the intention of distinguishing them from Empresses though all Empresses except the sole case of one Empress Regnant in Chinese history are technically Empress Consorts in English terms, primacy spouses of the Emperor Regnant who is actually invested with governmental rule.

A state of this automaton is accepting if the corresponding equivalence class contains a string in L ; in this case, again, the definition of the relation implies that all strings in the same equivalence class must also belong to L, for otherwise the empty string would be a distinguishing string for some pairs of strings in the class.

This may be done by an exhaustive case analysis in which, beginning from the empty string, distinguishing extensions are used to find additional equivalence classes until no more can be found.

After distinguishing himself in the repression of the attempted workers revolution of 1934, he was discredited by the Straperlo affaire ( a case of corruption bound to casino authorization ), that completely broke his alliance with the right and even weakened his position within the party.

The main distinguishing feature is whether the pillow case is plain or with a valance around the edge.

Although related to caching, memoization refers to a specific case of this optimization, distinguishing it from forms of caching such as buffering or page replacement.

Features distinguishing this style are a curving " potbellied " case and a greater use of curved lines.

GLDH is important for distinguishing between acute viral hepatitis and acute toxic liver necrosis or acute hypoxic liver disease, particularly in the case of liver damage with very high aminotransferases.

Now we can argue that the irresistible fate of Oedipus Rex was nothing more than the irresistible unconscious longings of Oedipus projected outward, but this externalization of unconscious conflict makes all the difference between a story and a clinical case history.

That fact is very clearly illustrated in the case of the many present-day intellectuals who were Communists or near-Communists in their youth and are now so extremely conservative ( or reactionary, as many would say ) that they can define no important political conviction that does not seem so far from even a centrist position as to make the distinction between Mr. Nixon and Mr. Khrushchev for them hardly worth noting.

In case of a deadlock between prison boards and inmates, a federal arbitration board to include a `` lifer '' and two escapees should decide the issue.

However, in this case as elsewhere it was necessary to arrive at a single standard to be applied to all situations, representing an averaging of conditions, and thus to fix particular points in time which would be considered the dividing points between daytime and nighttime conditions.

The hypothesis of there being an interaction between compulsivity and teaching method was supported, in this case, at the level.

In any case, anyone who fails to make significant distinction between primary and secondary applications of economic pressure would in principle already have justified that use of economic boycott as a means which broke out a few years ago or was skillfully organized by White Citizens' Councils in the entire state of Mississippi against every local Philco dealer in that state, in protest against a Philco-sponsored program over a national TV network on which was presented a drama showing, it seemed, a `` high yellow gal '' smooching with a white man.

That meant that something between the light and its reflection on the wall was moving closer to the source of the light -- in this case, the window.

But in any case, one does not have to read very closely between the lines to realize that the situation is not regarded as a particularly happy one.

In between, Poirot solves cases outside England as well, including his most famous case, Murder on the Orient Express ( 1934 ).

Some convictions triggered an automatic penalty, but where this was not the case the two litigants each proposed a penalty for the convicted defendant and the jury chose between them in a further vote.

A case can be made that discriminatory lines came to be drawn more sharply under Athenian democracy than before or elsewhere, in particular in relation to woman and slaves, as well as in the line between citizens and non-citizens.

The level of armour protection between AFVs varies greatly-a main battle tank will normally be designed to take hits from other tank guns and anti-tank missiles, whilst light reconnaissance vehicles are often only armoured " just in case ".

Again a classic of Renaissance literature was the basis of the libretto by Boccherini, in this case a comic mock-epic by Tassoni, in which a war between Modena and Bologna ensues over a stolen bucket.

This is not the case, and both modern adversarial and inquisitorial systems have the powers of the state separated between a prosecutor and the judge and allow the defendant the right to counsel.

The lack of correspondence between Ptolemaic and historical names known to be ancient has no defense except in the case of the two Roman colonies, Aleria and Mariana.

In case of a-Si: H the missing long-range order between silicon atoms is partly induced by the presence by hydrogen in the percent range.

Extreme cases like Mira undergo large swings over hundreds of days ; Arcturus is not very red and is a borderline case between variability and stability with its short period and tiny range.

The relative value trades may be between different issuers, different bonds issued by the same entity, or capital structure trades referencing the same asset ( in the case of revenue bonds ).

In this case there is a spread between the perceived value and real value, which can be extracted.

Eduardo Orduña Aznar claims to have established correspondences between Basque and Iberian numerals and noun case markers.

An extreme case are the twelve Battles of the Isonzo — First to Twelfth — between Italy and Austria-Hungary during the First World War.

BCS derived several important theoretical predictions that are independent of the details of the interaction, since the quantitative predictions mentioned below hold for any sufficiently weak attraction between the electrons and this last condition is fulfilled for many low temperature superconductors-the so-called weak-coupling case.

With this treaty, a mutual border was agreed between the two countries, together with an agreement for mutual military and diplomatic support in case of a Bulgarian or / and Austro-Hungarian attack.

This results in an airflow intermediate between and vowels, and is the case with English intervocalic / h /.

Whenever a confusion between the two kinds of definitions might arise it can be avoided by referring to the more general definition and by reintroducing the erased parameter: writing B < sub > m </ sub >( 0 ) in the first case and B < sub > m </ sub >( 1 ) in the second will unambiguously denote the value in question.