Then, it is undecidable to determine whether the language decided by an arbitrary Turing machine lies in S.

Then since S is symmetric about the origin, is also a point in S. Since S is convex, the line segment between and lies entirely in S, and in particular the midpoint of that segment lies in S. In other words,

Then, after bidding Ann, her housekeeper Martha ( Virginia Brissac ), and her dogs farewell, she climbs the stairs, lies down on her bed.

( 2. 2 ), Then, the lens passes-from the object plane over onto the image plane-only that portion of the radiated spherical wave which lies inside the edge angle of the lens.

Let e < sub > i </ sub > denote the trivial path at vertex i. Then we can associate to the vertex i, the projective KΓ module KΓe < sub > i </ sub > consisting of linear combinations of paths which have starting vertex i. This corresponds to the representation of Γ obtained by putting a copy of K at each vertex which lies on a path starting at i and 0 on each other vertex.

The ancient Koneswaram temple of Trincomalee is heralded as " Dakshina Kailasam "/" Then Kailasam " ( Kailash of the South ) because it lies on exactly the same longitude as Mount Kailash and due to its pre-eminence in Saivite belief.

More precisely, let F be a field, and let F be the ring of polynomials in one variable, X, with coefficients in F. Then each f < sub > i </ sub > lies in F. ∂< sub > X </ sub > is the derivative with respect to X.

* Let P be a point and C be a circle whose center is not P. Then the envelope of those circles whose center lies on C and that pass through P is a limaçon.

Then, among this series of points, there always exists a certain point A < sub > n </ sub > such that B lies between A and A < sub > n </ sub >.

Then, with erotic desire, the faun lies down prone on top of the scarf, and thrusts his pelvis into it once, ending the ballet.

Then I'd say, ' Anyone who lies will be shot on the spot.

Then he argued that the allegations were exaggerated semi-truths or outright lies.

Then the lattice basis can always be chosen so that τ lies in a special region,

Then he composed a fine panegyric, which he desired to recite, but they informed him that His Majesty did not like to be mocked with the lies, exaggerations and fulsome flattery of poets.

Then they realize the old Rolls Royce from the bank is there, and found out the kids told the president of the bank ( who is also the mayor of the town ) a bunch of lies about what good things Joe and Vivian did, and it convinced the mayor to give the loan and make the kids a part of the community.

Then roll the cylinder in the plane perpendicular to the 3-dimensional hyperplane that the cylinder lies in, so that its two circular ends meet.

Then additional stubble from cut grain can be placed around the edges, enough to provide cover when the hunter lies down when birds are spotted, sitting up when they come in range.

Then they were hung up on poles or clotheslines to air dry, or sometimes just spread out on clean grass.

Then, keep grass short for beginning of March when seedlings establish.

Then for pasture-fed animals, grass is the forage that composes all or at least the great majority of their diet.

Then in 2010 he began producing 3 songs for 7 Piece Blue grass / Folk / Indie band The Strumbellas.

Then she hurries to the Starglass, now lying on the grass, and holds the pendant over it.

Then the traveller-narrator recollects that when he saw her in the shadow it was like a cinnamon island lined with greenish grass spotted by a mariner whose ship was wrecked in a faraway sea.

Then, with a glory that almost wiped out the deep, downward sags in her careworn face, Matilda leaned over the wheel and shouted to Hez, who was stumbling along in the heat and the dust on the opposite side of the wagon `` Pa!!

Then she saw Ramey and her face was misshapen with bewilderment.

Then, abandoning the studies in the face of their promising outlook for all concerned, B. & O. entered on-again-off-again negotiations with C. & O. which resulted in the present situation.

Then the man he saved turned and looked squarely into the truck driver's face, without saying a word.

Then Dick Hyde, submarine-ball hurler, entered the contest and only five batters needed to face him before there existed a 3-to-3 deadlock.

Then Charlie spooned out some quick impressions of the Nikita he had glimpsed: `` I was captivated by his humor, frankness and good nature and by his kind, strong and somewhat sly face ''.

Then the flames were gone, the stillness fell upon the severe black face and Richard began to tremble violently.

Then in 1538, as Henry began diplomatic negotiations with Lutheran princes, Cranmer came face to face with a Lutheran embassy.

* 2002 – 2003 California recall: Then Governor of California Gray Davis announces that the state would face a record budget deficit of $ 35 billion, roughly double the figure reported during his reelection campaign one month earlier.

Then, in the later account found in the Syriac Doctrine of Addai, a painted image of Jesus is mentioned in the story ; and even later, in the account given by Evagrius, the painted image is transformed into an image that miraculously appeared on a towel when Christ pressed the cloth to his wet face.

" Then something like a smile passed fleetingly over what had once been her face.

: Then they went forth the foe to face,

Then Gart himself mysteriously disappears, and the ship does too – wiping them off the face of the Earth.

Then the hammer is turned over to use the flat face and the tops of the ridges are hammered down level with the bottoms of the indentations.

' Then King Henry recognized him and hit him in the face with a knife and they.

Early adherents adopted their dietary laws based on their interpretation of several books of the Bible, including the Book of Genesis (" Then God said, " I give you every Seed-bearing plant on the face of the whole earth and every tree that has fruit with seed in it.

Then, ten tricks are played, allowing players to take trick points: each card has a face value ( except in Null games ) and is worth that amount in points for the player winning the trick.

A common variation of the fourth line is " Then your face will surely show it.

His idea of being close to his daughter consists in his nocturnal visits to her bedroom when she is fast asleep: Then he gropes around under the sheets — in a harmless way, imagining what it would be like to have a normal child and envisaging the day when he will actually come face to face with her.

Then, the particular face was caricatured simply by subtracting from the particular face the corresponding point on the mean face ( the origin being placed in the middle of the face ), scaling this difference by a factor larger than one, and adding the scaled difference back on to the mean face.