For the oyabun to make such a trip was either a sign of great weakness or an indication of equally great confidence, and from all the available information it was probably the latter.

For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.

All these techniques help Poirot attain his principal target: " For in the long run, either through a lie, or through truth, people were bound to give themselves away …"

For example, the parent function y = 1 / x has a horizontal and a vertical asymptote, and occupies the first and third quadrant, and all of its transformed forms have one horizontal and vertical asymptote, and occupies either the 1st and 3rd or 2nd and 4th quadrant.

For this reason, parallel computing is only useful for either small numbers of processors, or problems with very high values of P: so-called embarrassingly parallel problems.

For much of its history Aberdour was two villages, Wester Aberdour and Easter Aberdour, on either side of the Dour Burn.

For allenes with four identical substituents, there exist two twofold axes of rotation through the center carbon, inclined at 45 ° to the CH < sub > 2 </ sub > planes at either end of the molecule.

For approximately two to three weeks on either side of November 30, Antares is not visible in the night sky, because it is near conjunction with the Sun ; this period of invisibility is longer in the Northern Hemisphere than in the Southern Hemisphere, since the star's declination is significantly south of the celestial equator.

For example, in the presence of H < sub > 2 </ sub > O < sub > 2 </ sub > formed by the eosinophil, and either chloride or bromide ions, eosinophil peroxidase provides a potent mechanism by which eosinophils kill multicellular parasites ( such as, for example, the nematode worms involved in filariasis ); and also certain bacteria ( such as tuberculosis bacteria ).

For example, an IBM PC might have either a monochrome or a color display adapter ( using different display memory addresses and hardware ), but a single, standard, BIOS system call may be invoked to display a character at a specified position on the screen in text mode.

For ten minutes after the explosion there was no firing ; sailors from both sides were either too shocked by the blast or desperately extinguishing fires aboard their own ships to continue the fight.

For publicly-traded companies in the U. S., the directors which are available to vote on are largely selected by either the board as a whole or a nominating committee.

* For the frequentist a hypothesis is a proposition ( which must be either true or false ), so that the frequentist probability of a hypothesis is either one or zero.

For example, it can rely on the user's settings, either browser-wide or specific for a given document, or it can pick a default encoding based on the user's language.

For international banks, including the 55 member central banks of the Bank for International Settlements, the threshold is 8 % ( see the Basel Capital Accords ) of risk-adjusted assets, whereby certain assets ( such as government bonds ) are considered to have lower risk and are either partially or fully excluded from total assets for the purposes of calculating capital adequacy.

For the purpose of section 243 of the Trade Union and Labour Relations ( Consolidation ) Act 1992, a crime means an offence punishable on indictment, or an offence punishable on summary conviction, and for the commission of which the offender is liable under the statute making the offence punishable to be imprisoned either absolutely or at the discretion of the court as an alternative for some other punishment.

For boiling to occur, either the dimer bonds must be broken, or the entire dimer arrangement must be vaporised, both of which increase enthalpy of vaporisation requirements significantly.

For a distance penalty, if the yardage is greater than half the distance to the goal line, then the ball is advanced half the distance to the goal line, though only up to the one-yard line ( unlike American football, in Canadian football no scrimmage may start inside either one-yard line ).

Other, more precise and robust methods have been developed For example, the truncated mean of the middle 24 % of the sample order statistics produces an estimate for x < sub > 0 </ sub > that is more efficient than using either the sample median or the full sample mean.

For example, the bytes of a plain text file (< tt >. txt </ tt > in Windows ) are associated with either ASCII or UTF-8 characters, while the bytes of image, video, and audio files are interpreted otherwise.

For those with no religious affiliation and those who chose not to list an affiliation, either the space for religion was left blank or the words " NO PREFERENCE " or " NO RELIGIOUS PREF " were included.

For a given f-number, increasing the magnification, either by moving closer to the subject or using a lens of greater focal length, decreases the DOF ; decreasing magnification increases DOF.

For security reasons certain types of data ( e. g., credit-card information ) may be kept encrypted in storage to prevent the possibility of unauthorized information reconstruction from chunks of storage snapshots ( taken either via unforeseen vulnerabilities in a DBMS, or more likely, by bypassing it ).

For by now the original cause of the quarrel, Philip's seizure of Gascony, was only one strand in the spider web of French interests that overlay all western Europe and that had been so well and closely spun that the lightest movement could set it trembling from one end to the other.

( For each State, make all computations set forth in items 1 to 8 above, and then add the results obtained for each State in item 8.

For example, the inflected forms of a word can be represented, insofar as regular inflection allows, by a stem and a set of endings to be attached.

For the only time in the opera, words are not set according to their natural inflection ; ;

For a while Nick followed the twisting course of the bubbles, wondering which set came from Elaine.

" For some time, Lincoln continued earlier plans to set up colonies for the newly freed slaves.

: For any set X of nonempty sets, there exists a choice function f defined on X.

: For any set A, the power set of A ( with the empty set removed ) has a choice function.

: For any set A there is a function f such that for any non-empty subset B of A, f ( B ) lies in B.

For example, after having established that the set X contains only non-empty sets, a mathematician might have said " let F ( s ) be one of the members of s for all s in X.

For finite sets X, the axiom of choice follows from the other axioms of set theory.

For example, suppose that X is the set of all non-empty subsets of the real numbers.

For example, while the axiom of choice implies that there is a well-ordering of the real numbers, there are models of set theory with the axiom of choice in which no well-ordering of the reals is definable.

** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.

** For every non-empty set S there is a binary operation defined on S that makes it a group.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

For much of the history of the series ( Volumes 4 through 29 ), settings in Gaul and abroad alternated, with even-numbered volumes set abroad and odd-numbered volumes set in Gaul, mostly in the village.

For the graphical user interfaces, AIX v2 came with the X10R3 and later the X10R4 and X11 versions of the X Window System from MIT, together with the Athena widget set.

For example, the equation y = x corresponds to the set of all the points on the plane whose x-coordinate and y-coordinate are equal.

For example the character set had no "↑" symbol, so exponentiation was an overstrike of "|" and "*".

For example, a Commodore 64 user calling an Atari BBS would use ASCII rather than the machine's native character set.