Then the travellers go to a stream and fill the pot with water, drop a large stone in it, and place it over a fire.

Then, the transport stream may be demultiplexed into its constituent streams.

Then, in B. E. 2310, a huntsman crossed over the Mekong and arrived along the right side at the mouth of the stream Bang Muk ( บ ั งม ุ ก ), where he discovered a discarded realm complete with a monastery and seven sugar palms located on the nearby riverbank.

: Then the waters had overwhelmed us, the stream had gone over our soul.

Then he placed cups of wine in the stream, and let them float.

Then the following steps occur: crf ( conticotrophin release factor ) -> pituitary gland releases “ acth ” ( adrenocorticotropic hormone ) -> adrenal cortex secretes various stress hormones ( e. g. cortisol ) -> stress hormones ( 30 varieties ) travel in the blood stream to relevant organs e. g. glands, heart, intestines.

Then the accuracy of the transmission process reduces to the accuracy with which the transmitted pulse stream represents the input waveform.

Then, an opening called an aperture ( such as the opening on the mouthpiece of a trumpet ) is partially open and a short stream of air under pressure is released.

Then, an escape plan flashes through his mind: " throw off the noose and spring into the stream.

Then he argued that < tt > merge (⊥, 1 < sup > ω </ sup >)⊆ merge ( 0, 1 < sup > ω </ sup >)</ tt >, where < tt >⊥< tt > is the empty stream.

Then one " flows " the charge by systematically redistributing the charge from a vertex to its neighboring vertices according to a set of rules, the discharging procedure.

Then the area of the parallelogram with vertices at a, b and c is equivalent to the absolute value of the determinant of a matrix built using a, b and c as rows with the last column padded using ones as follows:

Then the cevians are concurrent if and only if a mass distribution can be assigned to the vertices such that each cevian intersects the opposite facet at its center of mass.

Then for any cycle with vertices v, ..., v,

Then, if a and b are two periods of f such that < sup > a </ sup >⁄< sub > b </ sub > is not real, consider the parallelogram P whose vertices are 0, a, b and a + b. Then the image of f is equal to f ( P ).

Then there exists a triangle from T, whose vertices are colored with the three different colors.

Then S ′ will have the same number of d-dimensional faces for d different from zero, but fewer than expected vertices.

Then, the second pass of the algorithm loops through the vertices in this order, and for each vertex that has not already been assigned to a component, it performs a depth-first search of the transpose graph starting from that vertex, backtracking when the search reaches a previously assigned vertices ; the unsassigned vertices reached by this search form a new component.

Then the satisfying instances of the resulting 2SAT formula encode solutions to the vertex cover problem, and there is a satisfying assignment with true variables if and only if there is a vertex cover with vertices.

Then is defined to be the convex hull ( in ) of the barycentres of all subsets of the vertices of that contain.

Then the top T vertices / unigrams are selected based on their stationary probabilities.

Then, the isometry group of the set of three vertices of this triangle is the trivial group.

Examine now a loop-erased random walk starting from v and stopped when hitting the " boundary " of G, i. e. the vertices of G which correspond to the boundary of D. Then the conjectures are

Then the theorem states that the size of the minimum vertex cut for x and y ( the minimum number of vertices whose removal disconnects x and y ) is equal to the maximum number of pairwise vertex-independent paths from x to y.

Let A and B be sets of vertices in a ( possibly infinite ) digraph G. Then there exists a family P of disjoint A-B-paths and a separating set which consists of exactly one vertex from each path in P.

Let S be an ( a, b )- separator, that is, a vertex subset that separates two nonadjacent vertices a and b. Then S is a minimal ( a, b )- separator if no proper subset of S separates a and b. More generally, S is called a minimal separator if it is a minimal separator for some pair ( a, b ) of nonadjacent vertices.

Then either we are able to reverse a coloration on a subgraph of and paint with, say, color number 2, or we can connect and with a path containing vertices colored only with colors 2 and 4.

Then every graph on vertices and edges contains a ( triangular ).

Then the triangle formed by joining the vertex of the square distant from both triangles and the vertices of the triangles distant from the square is equilateral.

Let G be a set and let "~" denote an equivalence relation over G. Then we can form a groupoid representing this equivalence relation as follows.

Then one way of representing the truth condition of " Nixon is alive " is as the ordered pair < Nixon,

Then we could define, which grows much faster than any for finite k ( here ω is the first infinite ordinal number, representing the limit of all finite numbers k ).

Then the senior cardinal deacon placed the pallium on his shoulders saying: Accept the pallium, representing the plenitude of the Pontifical office, to the honour of Almighty God, and the most glorious Virgin Mary, his Mother, and the Blessed Apostles Peter and Paul, and the Holy Roman Church.

He had been a President and Speaker of the Then India Maunatul Islam Association of Fiji, an organisation representing Muslims of South Indian origin in Fiji.

Then the angel representing the exile of Persia went up a number of steps, and fell, as did the angel representing the exile of Greece.

Then there is the ground crew ( Aircraft Engineers ) crest having three vertical monoliths and two ' capping ' monoliths (' The Wickets '), representing the association of Larkhill with Stonehenge.

Then a pencil mark is made just above the hole, at a distance representing the wind speed ( D ) away from the hole.

Then, for any additive function χ: R-mod → X, there is a unique group homomorphism f: G < sub > 0 </ sub >( R ) → X such that χ factors through f and the map that takes each object of to the element representing its isomorphism class in G < sub > 0 </ sub >( R ).

Then in the 1840s the first deep coal mine was sunk in the village, representing the first colliery to be opened in the Rhondda Fach valley, and consequently Ynyshir also represents the earliest colliery settlement of the valley.

Then he fired one shot with silver bullets, obtained from a medal representing Virgin Mary, blessed by a priest.

Then are thirty-eight small counters, representing the thirty-six weeks and two days during which the Theotokos carried Christ in her womb.

Then came the series of works dedicated to Milarepa, a great Tibetan yogi, known for his Thousand songs representing the basis of his teaching.