Whether it fits significantly better and should thus be preferred is determined by deriving the probability or p-value of the difference D. Where the null hypothesis represents a special case of the alternative hypothesis, the probability distribution of the test statistic is approximately a chi-squared distribution with degrees of freedom equal to df2 − df1.

Where n × n matrices are used to represent linear transformations from an n-dimensional vector space to itself, I < sub > n </ sub > represents the identity function, regardless of the basis.

Where represents the rest mass of the first colliding body, represents the rest mass of the second colliding body, represents the initial velocity of the first collidng body, represents the initial velocity of the second colliding body, represents the velocity after collision of the first colliding body, represents the velocity after collision of the second colliding body, denotes the momentum of the first colliding body, denotes the momentum of the second colliding body and denotes the speed of light in vacuum, denotes the total energy of the system ( i. e. the sum of rest masses and kinetic energies of the colliding bodies ).

Where, i represents the index of summation ; x < sub > i </ sub > is an indexed variable representing each successive term in the series ; m is the lower bound of summation, and n is the upper bound of summation.

Where the table lists a long-or-short phoneme /( ː )/, a specifically short // or long / ː / phoneme represents additional spellings not covered by length marking rules.

Where H represents the number of individuals being removed from the population – that is, the harvesting rate.

Where the basic game represents small confrontations and skirmishes, in Rag ' Narok entire armies are involved in battles.

Where the quantum number ℓ is the subshell, the magnetic number m represents the number of possible values for available energy levels of that subshell as shown in the table below.

Where a deductible represents a part of the expense the insurer is not liable for, the franchise is a pure threshold that, when exceeded, transfers liability for the entire expense to the insurer.

Where " DM " represents the distance from Disk to Macula, and " DD " represents Disc Diameter.

Where is the integer that represents in.

Where < font 16 > X </ font 16 > represents any amino acid.

Where symbols for consonants occur in pairs, the left represents a voiceless consonant and the right represents a voiced consonant.

Where n represents the number of carbon atoms present.

Where A represents one of the four national long-distance carriers, but new long distance operators are using 0Axy format:

Where A represents the long-distance carrier, as described above.

# Where, if there had been no object of the first kind, we would never have seen an object of the second kind.

# Where the appearance of the first object forces one's mind to think about the second one.

Where the first day of the month starts on a Monday and the last day ends on a Sunday, this was observed in 2010 and can be traced back 11 years to 1999, 6 years back to 1993, 11 years back to 1982, 11 years back to 1971 and 6 years back to 1965 ; and so on twice 11 years consecutively and once six years either forward into the future or back into the past.

Where the first element was long, the iota was lost in pronunciation at an early date, and was written in polytonic orthography as iota subscript, in other words as a very small ι under the main vowel, for instance.

Where it grows as a biennial, in the first year, it forms a rosette of tripinnate leaves 10 – 25 cm long with numerous 1 – 3 cm leaflets, and a taproot used as a food store over the winter.

Normally used an entry level formula, it has grown into a stand alone series, with National, State and Club events and Championships. The first NASCAR " Strictly Stock " race ever was held at Charlotte Speedway, on June 19, 1949. Where a racing class requires that the cars raced be production vehicles only slightly adapted for racing, manufacturers typically produce a limited run of such vehicles for public sale so that they can legitimately race them in the class.

Dennis Potter dramatised Father and Son in the television play Where Adam Stood, first broadcast on BBC One in 1976.

His own first date as leader, Where ?, with Dolphy and Mal Waldron and a date also with Dolphy called Out There with George Duvivier and Roy Haynes and Carter on cello ; its advanced harmonies and concepts were in step with the third stream movement.

All first season episodes that had been remastered and aired were available from iTunes, except " Where No Man Has Gone Before ", which remains in its original form.

Where resistance is uncommon, the treatment of choice is a fluoroquinolone such as ciprofloxacin otherwise, a third-generation cephalosporin such as ceftriaxone or cefotaxime is the first choice.

The first two lines of the song are: " The Motherland hears, the Motherland knows / Where her son flies in the sky ".

Bowman Wright of Godric's Hollow was the first person to fashion a Golden Snitch, replacing the Golden Snidget bird, a magical creature resembling a hummingbird, also mentioned in Fantastic Beasts and Where to Find Them, which was previously used in the game, but was replaced due to animal cruelty issues.

His first novel, Where Angels Fear to Tread ( 1905 ), is the story of Lilia, a young English widow who falls in love with an Italian man, and of the efforts of her bourgeois relatives to get her back from Monteriano ( based on San Gimignano ).

Based on the character outline, puppeteer Caroll Spinney was inspired by the voice of a New York City taxi driver, hailed when going to the production studio ; when he first got in, the driver asked him " Where to, Mac?

In 1965 The Mamas & the Papas ' first single, lead member John Phillips ' " Go Where You Wanna Go ", failed to open the foursome's chart career.

Other works include Franny, the Queen of Provincetown ( first a novel, then adapted for stage ), The Big Gay Book: A Man's Survival Guide for the Nineties, Personal Dispatches: Writers Confront AIDS, and Hometowns: Gay Men Write About Where They Belong.

The first version of the video game Where in the World is Carmen Sandiego ?, published in 1985, included The World Almanac in the purchase.

Where X equals the height multiplied by the width, the first X indices in the array are Y ' values that correspond to each individual pixel.

Where ramp signals are switched off, the first board is blank and the second board displays " RAMP SIGNAL OFF ".

This was the first regular episode to enter production following the success of the pilot episode, " Where Is Everybody?

The lyrics appear with permission from the Author :( 1st verse ): Harbor of a thousand ships / Forger of a nation's fleet / Gateway to the New World / Where ocean and river meet /( chorus ): Strength wrought from steel / And a people's fortitude / Such is the timeless legacy / Of a place called Newport News /( 2nd verse ): Nestled in a blessed land / Gifted with a special view / Forever home for ev ' ry man / With a spirit proud and true /( repeat chorus to fade )

Where verse by Petrarch had been the standard, and themes of love and longing and death had been typical, by the 1560s composers had begun bringing back elements of some lighter Italian forms, such as the villanella, with their dancelike rhythms and verses on carefree subjects.

Where the chorus is in a straight forward major key, the verse cannot be captured in a single key.

The final verse of the Paul Simon song " Mrs. Robinson " uses the motif, asking, " Where have you gone, Joe DiMaggio?

Where the dingo was concerned a new verse was added to this version: " He can run the pants off a dingo too ".

The verse made a re-emergence on the 2009 legs of the U2 360 ° Tour ; although it was not a nightly feature, Bono sang it very often, segueing into " Amazing Grace " and from there into " Where The Streets Have No Name " on most of the second leg.

One of his most well-known segments was the " Where Oh Where " song in which he would perform a short verse of original comedy followed by a standard " Where oh where are you tonight " chorus which would lead he and a singing partner, often Gordie Tapp, into blowing a raspberry at one another or at the camera.

Where Kemble had simply brushed the bad news aside, Cooke pondered the verse carefully before rejecting it without force.