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each and case
In each case, the object, the color, even the percussive sounds of the electronic score were designed to become part of the theatrical being of the performer.
In each case there was an initial act of violence.
The replies from each individual town are not given in detail because the questions asked the personal opinion of the several assessors and are not necessarily the established policy of the town in each case.
I am recommending additional acquisitions of the improved version of the B-52 ( the B-52H with the new turbofan engine ) and procurement of the B-58 supersonic medium bomber, together with the supporting refueling tankers in each case.
The same restrictions apply after local sunset in the case of class 3, stations operating on regional channels, which after that time are required to operate under nighttime restrictions in order to protect each other.
In each case, having separate systems for living and sleeping areas has the advantage of permitting individual zone control.
The diagonalizable operator is the special case of this in which Af for each i.
In the notation of the proof of Theorem 12, let us take a look at the special case in which the minimal polynomial for T is a product of first-degree polynomials, i.e., the case in which each Af is of the form Af.
In the first case the fixed elements within each pencil are the multiple secant and the line joining the vertex, P, to the intersection of **zg and the plane of the pencil which does not lie on the multiple secant.
The multiple secants, of course, are exceptional and in each case are transformed into cones of order Af.
Presumably the interfacial bond strength and gross cohesive properties are identical in each case.
And while every writer must be dealt with as a special case, the interested student will want to ask himself a number of questions about each.
Depending on the particular legal rules that apply to each circumstance, a party to a court case who is unhappy with the result might be able to challenge that result in an appellate court on specific grounds.
* Closing argument, in law, the concluding statement of each party's counsel reiterating the important arguments in a court case
That is, any conditional steps must be systematically dealt with, case-by-case ; the criteria for each case must be clear ( and computable ).
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.
In that case it is equivalent to saying that if we have several ( a finite number of ) boxes, each containing at least one item, then we can choose exactly one item from each box.
In each case, the absence of full glyphs for vowels makes the common root clearer, improving word recognition while reading.
The capacitors on each drum were organized into 32 " bands " of 50 ( 30 active bands and 2 spares in case a capacitor failed ), giving the machine a speed of 30 additions / subtractions per second.
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.
Yet in the case of Pericles, it is wrong to see his power as coming from his long series of annual generalships ( each year along with nine others ).

each and lines
Looking at the diagram, we see that Af connection lines come in to each member.
The idea of a central tank with lines to each house is not in itself a novelty.
A general line L meets Q in two points, Af and Af, through each of which passes a unique generator of the regulus, Af, whose lines are simple secants of Aj.
The invariant lines are the lines of the congruence of secants of **zg, since each of these meets Q in two points which are invariant.
The most obvious of these is the quadratic complex of tangents to Q, each line of which is transformed into the entire pencil of lines tangent to Q at the image of the point of tangency of the given line.
It is interesting that a 1: 1 correspondence can be established between the lines of two such pencils, so that in a sense a unique image can actually be assigned to each tangent.
For each of these lines meets Q in three points, namely two points on **zg and one point on one of the multiple secants.
Frog-marched off the airplane at 1:48 p.m., the Beardens were held in bail of $100,000 each on charges of kidnapping and transporting a stolen plane across state lines.
Astronomers measure the angular separation of two stars by imagining two lines through the centre of the Earth, each intersecting one of the stars.
In Greek mythology, the perceived cultural divisions among the Hellenes were represented as legendary lines of descent that identified kinship groups, with each line being derived from an eponymous ancestor.
We receive, therefore, in no single intercepting plane behind the system, as, for example, a focusing screen, an image of the object point ; on the other hand, in each of two planes lines O ' and O " are separately formed ( in neighboring planes ellipses are formed ), and in a plane between O ' and O " a circle of least confusion.
" He leaves you dangling at the end of each bridge, lets the band punctuate the trail of words he's squeezed into his lines, which gives it a reluctant soft-shoe charm.
Many BBSes also offer on-line games, in which users can compete with each other, and BBSes with multiple phone lines often provide chat rooms, allowing users to interact with each other.
Usually, only the second and fourth line of a quatrain are rhymed ( in the scheme a, b, c, b ), which has been taken to suggest that, originally, ballads consisted of couplets ( two lines ) of rhymed verse, each of 14 syllables.
The game was given a large amount of advance publicity in the comics, with story lines often revolving how the characters each acquired his / her vehicle.
Some Chinese couplets may consist of two lines of four characters each.
where is a metalogical symbol meaning that is a syntactic consequence if and are each on lines of a proof in some logical system ;
Through the construction of a glass tube filled with mercury and plugged at each end with a quartz crystal, delay lines could store bits of information within the quartz and transfer it through sound waves propagating through mercury.
A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length.
The modern Cartesian coordinate system in two dimensions ( also called a rectangular coordinate system ) is defined by an ordered pair of perpendicular lines ( axes ), a single unit of length for both axes, and an orientation for each axis.
Choosing a Cartesian coordinate system for a three-dimensional space means choosing an ordered triplet of lines ( axes ), any two of them being perpendicular ; a single unit of length for all three axes ; and an orientation for each axis.
The coordinates of a point p are obtained by drawing a line through p perpendicular to each coordinate axis, and reading the points where these lines meet the axes as three numbers of these number lines.

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