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Page "Curse of dimensionality" ¶ 10
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When and measure
When we turn to Aristotle's ideas on the moral measure of literature, it is at once apparent that he is at times equally concerned about the influence of the art.
When improvements are recommended in working conditions -- such as lighting, rest rooms, eating facilities, air-conditioning -- do you try to set a measure of their effectiveness on productivity??
When speaking about the reals, sometimes it means " all reals but a set of Lebesgue measure zero " ( formally, almost everywhere ).
When particles in a beam are thrown against a foil made of a certain substance, the cross section is a hypothetical area measure around the target particles of the substance ( usually its atoms ) that represents a surface.
When it is either not possible or not desirable to award the victim in that way, a court may award money damages designed to restore the injured party to the economic position s / he occupied at the time the contract was entered ( known as the " reliance measure "), or designed to prevent the breaching party from being unjustly enriched (" restitution ") ( see below ).
When a small bridge is unavailable for some very low notes, some players may, as an emergency measure, use a bridge upside down.
When measuring liquid pressure, a loop filled with gas or a light fluid can isolate the liquids to prevent them from mixing but this can be unnecessary, for example when mercury is used as the manometer fluid to measure differential pressure of a fluid such as water.
When there are hard external constraints on system latency, developers often need tools to measure interrupt latencies and track down which critical sections cause slowdowns.
When talking about null sets in Euclidean n-space R < sup > n </ sup >, it is usually understood that the measure being used is Lebesgue measure.
When the criterion measure is collected at the same time as the measure being validated the goal is to establish concurrent validity ; when the criterion is collected later the goal is to establish predictive validity.
When we measure this qubit in the standard basis, the probability of outcome is and the probability of outcome is.
When asked whether he concurred with Pirates owner John Galbreath's assertion that Clemente was " the greatest ," the Pirates ' right fieldier replied: ' How do you measure a man?
When a tabloid is defined as " roughly " and commonly " half the size of a broadsheet ," confusion can arise because " Many broadsheets measure roughly ", half of which is roughly not.
When mice still used a mechanical design ( with slotted ' chopper ' wheels interrupting a beam of light to measure rotation ), trackballs had the advantage of being in contact with the user's hand, which is generally cleaner than the desk or mousepad and does not drag lint into the chopper wheels.
When he decries Bentham's application of the ' yard measure ' of now to ' the past, present and future ', he decries the implication that society, and people, have always been, and will always be, as they are now ; that is, he criticizes essentialism.
When emplaced, the howitzer's high volume of fire compensates in large measure for the lower explosive weight of the projectile compared to the Army's 155mm and 8-inch howitzers.
When the speckle pattern changes in time, due to changes in the illuminated surface, the phenomenon is known as dynamic speckle, and it can be used to measure activity, as in ( for example ) an optical computer mouse.
When assessing other individuals, individuals often measure one another up by running their antennae down the length of the other individual.
When discussing sets of real numbers, the Lebesgue measure is assumed unless otherwise stated.
When challenged at trial over the nature of this testing, and particularly over the fact that the testing was designed in some cases to cause death and only to measure the time which elapsed until death was caused, one Nazi doctor's defence was that, though a doctor, he was " legally appointed executioner ".
When the measure is time-independent, the ensemble is said to be stationary.
When a line of type was being justified, all the space band wedges would be pushed up in two passes to spread the line out to the full measure being cast.
When this duly took place, in 1494, the Duchy duly gained a measure of stability.

When and such
When we assert the value of such study, we find ourselves committed to an important assumption.
When he was asked a question or addressed in such a way that some response was inescapable, he would answer ; ;
When suitable equipment is located by the SBA representative, the small business concern is contacted and advised on when, where, and how to bid on such property.
When the automobile was in its embryonic stage, such roads as existed were pretty much open roads with the tacit understanding that horses should not be unduly terrified being about the only rule governing where, when and how fast a car could go.
When helped by a high degree of structure in lesson presentation, then, and only then, does such a child attain unusual success.
When we repeat the remark that such suffering was a bad thing, the feeling with which we made it last week may be at or near the vanishing point, but if we were asked whether we meant to say what we did before, we should certainly answer Yes.
When I speculated on one such occasion that the new growth, like other mutations, might be unable to propagate, I was immediately accused of preaching racial prejudice.
When such a reference is found, an actual address is assigned and the availability table is changed so that the assigned index word or switch is no longer available for later assignment.
When they say that under no circumstances would it ever be right to `` permit '' the termination of the human race by human action, because there could not possibly be any proportionate grave reason to justify such a thing, they know exactly what they mean.
When someone does develop chronic or severe problems with anxiety, such problems are usually classified as being one or more of the specific types of Anxiety Disorders.
When people are confronted with unpleasant and potentially harmful stimuli such as foul odors or tastes, PET-scans show increased bloodflow in the amygdala.
When such permits to harvest are abused, it is frequently difficult to police.
"), is the inspiration for the text of several pieces of choral music, usually entitled When David Heard ( such as those by Renaissance composers Thomas Tomkins and Thomas Weelkes, or American composers Eric Whitacre, Joshua Shank, and Norman Dinerstein ).
When his friend, the British publicist William T. Stead, asked him to create a new organization for the goal of a peace and arbitration society, his reply was as such:
When powered on, an AppleTalk machine broadcasts an AARP probe packet asking for a network address, intending to hear back from controllers such as routers.
When told they were called " Anglii " ( Angles ), he replied with a Latin pun that translates well into English: “ Bene, nam et angelicam habent faciem, et tales angelorum in caelis decet esse coheredes ” (" It is well, for they have an angelic face, and such people ought to be co-heirs of the angels in heaven ").
When its normal prey is scarce, the arctic fox scavenges the leftovers and even feces of larger predators, such as the polar bear, even though the bear's prey includes the arctic fox itself.
When used appropriately, opioids and similar narcotic analgesics are otherwise safe and effective, however risks such as addiction and the body becoming used to the drug ( tolerance ) can occur.
When a group of different plant species was prompted by a variety of different stress signals, such as drought or cold, each plant responded uniquely.
When an APAF-1 gene trap is introduced into cells, many morphological changes occur, such as spina bifida, the persistence of interdigital webs, and open brain.
When used in such fashion, beacons can be considered a form of optical telegraphy.
When a battleground is the site of more than one battle in the same conflict, the instances are distinguished by ordinal number, such as the First and Second Battles of Bull Run.
When discovered early anthrax can be cured by administering antibiotics ( such as ciprofloxacin ).
When the PC starts up, the first job for the BIOS is the power-on self-test, which initializes and identifies system devices such as the CPU, RAM, video display card, keyboard and mouse, hard disk drive, optical disc drive and other hardware.

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