If the areas of the two parallel faces are A < sub > 1 </ sub > and A < sub > 3 </ sub >, the cross-sectional area of the intersection of the prismatoid with a plane midway between the two parallel faces is A < sub > 2 </ sub >, and the height ( the distance between the two parallel faces ) is h, then the volume of the prismatoid is given by ( This formula follows immediately by integrating the area parallel to the two planes of vertices by Simpson's rule, since that rule is exact for integration of polynomials of degree up to 3, and in this case the area is at most a quadratic in the height.

Although the exact function of the oSDN is not fully known, its volume, length, and cell number seem to correlate with sexual orientation, and a dimorphism in its volume and of cells could bias the processing cues involved in partner selection.

In the US, Fannie Farmer introduced the more exact specification of quantities by volume in her 1896 Boston Cooking-School Cook Book.

The extent of data that will be supplied to the TTP / Verifiers is at present not exactly known, only when the technology is implemented and used will we be able to assess the exact nature and volume of the data that is transmitted.

Barks defined the volume of money contained inside as " three cubic acres ", but the exact meaning, and therefore the volume, of a " cubic acre " is subject to interpretation by the reader, since an acre is a measure of area, not length, a cubic acre would be a 6-dimensional space of 247, 961, 850, 048, 000 feet to the sixth power.

However, the approximate molecular weight can be calculated from SEC data because the exact relationship between molecular weight and hydrodynamic volume for polystyrene can be found.

In this size regime, the exact shape of the scattering center is usually not very significant and can often be treated as a sphere of equivalent volume.

For a homogeneous system, with a well-defined temperature and pressure, the expression for dU can be written in terms of exact differentials, if the work that the system does is equal to its pressure times the infinitesimal increase in its volume.

Equation ( 7 ) is exact for the volume averages ; i. e., no approximations have been made during its derivation.

# Maintain a dollar volume and number of transactions for three years ( exact amount varies by market )

The AFS command suite guarantees that all read-only volumes contain exact copies of the original read-write volume at the time the read-only copy was created.

The exact formula varies with the tank shape but depends on the density, ρ, and maximum allowable stress σ of the material in addition to the pressure P and volume V of the vessel.

The exact size of a voxel will vary depending on the technology used, although fMRI voxels typically represent a volume of 27 mm < sup > 3 </ sup > ( a cube with 3mm length sides ).

* The first one is an exact replica of his n ° 1 guitar which features a poplar body with maple neck, rosewood fingerboard, 4 pickups ( a DiMarzio Steve Morse bridge and neck model Humbuckers, and two DiMarzio single coils, a DP 117 and a custom wound Steve Morse single coil in HSSH configuration ) volume and tone controls.

Energy per unit volume has the same physical units as pressure, and in many circumstances is an exact synonym: for example, the energy density of the magnetic field may be expressed as ( and behaves as ) a physical pressure, and the energy required to compress a compressed gas a little more may be determined by multiplying the difference between the gas pressure and the pressure outside by the change in volume.

Depending on the exact relationship between driver parameters, the enclosure volume ( and filling if any ), and the tube cross-section and length, the low frequency limit or efficiency can be substantially improved over the performance of a similarly sized sealed box enclosure.

However, Marx himself explicitly denied in chapter 49 of the third volume of Das Kapital that such an exact mathematical identity actually applies ; subsequently, Frederick Engels also denied it explicitly, in a letter to Conrad Schmidt dated March 12, 1895.

Pliny may have mentioned them, although there is some debate as to the exact nature of the stone he referred to as Adamas ; In 2005, Australia, Botswana, Russia and Canada ranked among the primary sources of gemstone diamond production .< ref >

While the exact relationship of the short and apparently primitive text of Q1 to the later published texts is not resolved, Hardin Craig among others has suggested that it may represent an earlier draft of the play and hence would confirm that the play referred to in 1589 is in fact merely an earlier draft of Shakespeare's play.

* Form-fitting clothing, often referred to as tights or Spandex, although the exact material is usually unidentified.

Some sources incorrectly refer to the June 1982 speech before the British House of Commons as the " Evil Empire " speech, but while Reagan referred twice to totalitarianism in his London speech, the exact phrase " evil empire " did not appear in any speech until later in his Presidency.

The focus came to be on the consequences of acedia rather than the cause, and so, by the 17th century, the exact deadly sin referred to was believed to be the failure to utilize one's talents and gifts.

This phenomenon, referred to as " exact quantization ", has been shown to be a subtle manifestation of the principle of gauge invariance.

They are inverse of the well-known resistance unit h / e < sup > 2 </ sup >, which is roughly equal to 25812. 8 ohms, and referred to as the von Klitzing constant R < sub > K </ sub > ( after Klaus von Klitzing, the discoverer of exact quantization ).

Cochrane is repeatedly referred to afterwards, but the exact details of the first warp trials were not shown until the second Star Trek: The Next Generation movie, Star Trek: First Contact.

This may have had a spiritual component ( in a letter to Balakirev the young man referred to " mysticism and cynical thoughts about the Deity "), but its exact nature will probably never be known.

" Prior to this modern meaning, " enharmonic " referred to relations in which ( using traditional notation ) there is no exact equivalence between a sharpened note and the flattened note., as in enharmonic scale.

The exact region referred to as " Blessed Land " in the Qur ' an verse has been interpreted differently by various scholars: Abdullah Yusuf Ali likens it to a wide land range including, Syria, Palestine and the cities of Tyre and Sidon ; Az-Zujaj describes it as, " Damascus, Palestine, and a bit of Jordan "; Qatada claims it to be, " the Levant "; Muadh ibn Jabal as, " the area between al-Arish and the Euphrates "; and Ibn Abbas as, " the land of Jericho ".

is referred to as the ' field strength parameter ' ( Note: for the square root is an exact square, and should be interpreted as ).

Land reform may also entail the transfer of land from individual ownership — even peasant ownership in smallholdings — to government-owned collective farms ; it has also, in other times and places, referred to the exact opposite: division of government-owned collective farms into smallholdings.

There is no archival evidence as to the exact date the name was legally changed, although it is clear that from 1904 all those around him referred to him as Béla Kun rather than Kohn, and he likewise made the Magyar variant his signature.

In Reliance of the Traveller, point w43. 2, a hadith is referred to containing the exact word Dar al-Harb.

The exact meaning of the term is a matter of fierce debate, though a rough consensus among musicologists is that it involves intensely expressive setting of text, chromaticism, and that it may have referred to music specifically written for connoisseurs.

A master-checker is a hardware-supported fault tolerance method for multiprocessor systems, in which two processors, referred to as the master and checker, calculate the same functions in parallel in order to increase the probability that the result is exact.

Witness trees at corners are more commonly referred to as bearing trees because the exact distance and bearing from the corner, to them, was required to be recorded ( as well as the taxon and diameter ).

While in English the chronological leadership groups are commonly referred to as " generations of Chinese leadership ", there is no exact equivalent expression in Chinese.

The exact details of the plot may remain a mystery, but a French colonel named Jean-Claude Mantion served as the head of Kolingba's presidential guard for many years thereafter and was so powerful that he was often referred to in the CAR as " the president's president.

Sharpe promoted to Lieutenant-the exact time frame is not referred to in the novels but occurred sometime after the events of Sharpe's Prey and before Sharpe's Rifles.

The Base System Unit was referred to as Model M1001, later a " Mindset II " computer was released, basically the same exact case as the Mindset M1001, just with an adhesive label designating " II " under the embossed name.

Londo coyly referred to his wives by those exact titles ( and in that exact order ) in The War Prayer.

On most drill presses, it is impossible to get the exact speed, but you can come close by adjusting the drive belt on the step-cone pulleys.

The collective by which I address you in the title above is neither patronizing nor jocose but an exact industrial term in use among professional thieves.

In free-burning electric arcs, for instance, approximately 90% of the total arc power is transferred to the anode giving rise to local heat fluxes in excess of Af as measured by the authors -- the exact value depending on the arc atmosphere.

Authorities hesitate to quote exact figures, however, believing that any sum they come up with is only a surface manifestation -- turned up by their inevitably limited policing -- of the real loot of the medical racketeer.

In New Jersey, for example, the Administrative Office of the Court has promulgated a form of notice of appeal for use by appellants, though using this exact form is not mandatory and the failure to use it is not a jurisdictional defect provided that all pertinent information is set forth in whatever form of notice of appeal is used.

Others suggest the alphabet was developed in central Egypt during the 15th century BC for or by Semitic workers, but only one of these early writings has been deciphered and their exact nature remains open to interpretation.

It is instrumental for keeping time, in that UTC is basically the atomic time synchronized to Earth's rotation by means of exact observations.

To be more exact, one acre is 90. 75 percent of a long by wide American football field ( without the end zones ).

The U. S. survey acre is about 4, 046. 872 609 874 252 square metres ; its exact value ( m < sup > 2 </ sup >) is based on an inch defined by 1 metre = 39. 37 inches exactly, as established by the Mendenhall Order.

However the exact relationship of the term Ahhiyawa to the Achaeans beyond a similarity in pronunciation is hotly debated by scholars, even following the discovery that Mycenaean Linear B is an early form of Greek ; the earlier debate was summed up in 1984 by Hans G. Güterbock of the Oriental Institute.

The main source for the affair is a mythology à clef by Synesius of Cyrene, Aegyptus sive de providentia, ( 400 ) an Egyptianising allegory that embodies a covert account of the events, the exact interpretation of which continues to baffle scholars.

Determination of the exact resolution of the instrument is of limited use, as the resolution of the device is set by the physical properties of the material under analysis.

It has been suggested by United States government officials that " box-cutter knives " were used in the September 11, 2001 terrorist attacks against the United States, though the exact design of the knives actually used is unclear.

When removing checkers from the board (" bearing off "), the exact roll must be used unless a die is greater than any checker can use to bear off ; in that case the die is played by taking a checker from the highest-numbered point off the board.

The exact expression " the Day of the Lord ”, from Obadiah 1: 15, has been used by other authors throughout the Old and New Testaments, as follows:

Though the exact dating is disputed, it is not regarded as authentic by any scholar.

The flanks of the Athenian camp were protected either by a grove of trees, or an abbatis of stakes ( depending on the exact reading ).

This was mainly carried out by the adoption of a rule that all antiphons and responses should be in the exact words of Scripture, which, of course, cut out the whole class of appeals to created beings.

Outside, on both sides of the eight-story building, more than 28, 000 tiles painted and fired by Brazilian artist Francisco Brennard, depicting abstract blue flowers, were placed on the walls according to the artist's exact specifications.

As with other older geologic periods, the rock beds of the Cretaceous are well identified but the exact ages of the system's top and base are uncertain by a few million years.

The exact membership of the configuration depends upon the topic ; for example, when discussing agricultural policy the Council is formed by the twenty-seven national ministers whose portfolio includes this policy area ( with the related European Commissioner contributing but not voting ).

Not all grades are defined by all jurisdictions, and the exact fat content ranges vary.

However, possibly as an insult to Art Modell, or possibly as an homage to his own start as a head coach to the Massillon Tigers, Paul Brown chose the exact shade of orange used by his former team.