Then it would be a choice between starvation and suicide.

Then our choice function can choose the least element of every set under our unusual ordering.

Then it would be that by recursion ( using the axiom of countable choice ) that a sequence of polynomials could be found so that, letting of minimal degree.

Then the joint distribution of X and Y is completely determined by our channel and by our choice of, the marginal distribution of messages we choose to send over the channel.

Then an enriched category C ( alternatively, in situations where the choice of monoidal category needs to be explicit, a category enriched over M, or M-category ), consists of

Then, in 1811, after the invasion and annexation of the Kingdom of Holland by France during Napoleon's war, Raffles had no choice but to leave the country.

Then conscious choice brings one to aspire to lead.

Then we have only the choice between being nothing in relation to God or having to begin all over again every moment in eternal torment, yet without being able to begin, for if we are able to decide definitely with regard to the previous moment, and so further and further back.

" In Shakespeare's The Merchant of Venice, Portia exclaims " Let music sound while he doth make his choice ; Then, if he lose, he makes a swan-like end, Fading in music.

Then no matter what the choice of system of parameters or lifting, the last map from R = K < sub > d </ sub > → F < sub > d </ sub > is not 0.

Then the senior has the choice of either ordering ' ad libitum ' ( drink as you please, which should be ' ad libidinem ' in more accurate Latin ) or the more famous and notorious ' ad fundum ' ( literally: to the bottom, or drink until the glass is empty ).

Then it won't " and a " choice cut " ( denoted by a pair of scissors ), which, as noted above, " is a good song on an album that isn't worth your time or money.

The choice of this song was considered ironic by many, considering the song contains lyrics such as " So if I can shoot rabbits / Then I can shoot fascists ".

Then by the choice of, does not have an antichain of size.

Then they withdraw to a secluded cubicle equipped with a lectern, pen and waste basket, where they select the ballot paper of their choice, if any, and mark the candidate ( s ) of their choice, if any ; they cast the sealed envelope with the ballot paper in the ballot box and are given their ID card back.

Then it's impossible to find a social choice function without violating " Minimal liberalism " or the " Paretian principle ".

Then, the Z < sub > 2 </ sub > parity of the number of χ particles is well defined and is conserved in time ( even though the number of χ particles itself depends on the choice of which splitting into a free Hamiltonian and an interacting Hamiltonian we make in the interaction picture, which doesn't even exist for interacting theories ( the number is typically infinite )).

Then Abd Al Rahman suggested to allow him to withdraw his candidature at the cost of the choice for leadership between the two remaining candidates.

Then a vector field X on M is said to be projectable if for all y in N, dφ < sub > x </ sub >( X < sub > x </ sub >) is independent of the choice of x in φ < sup >− 1 </ sup >(

Then by our definition A is ( indirectly ) revealed preferred to C ( by the first two choices ) and C is ( directly ) revealed preferred to A ( by the last choice ).

: Then love will face the choice it makes ;

Then there is a design choice to be made:

Then its coefficients generate a proper ideal I, which by Krull's theorem ( which depends on the axiom of choice ) is contained in a maximal ideal m of R. Then R / m is a field, and ( R / m ) is therefore an integral domain.

Then, according to the first law of thermodynamics,

Then, one applies that law to the facts.

Then Fick's first law ( one-dimensional case ) can be written as:

Then he returned to practice law in Savoy.

Then, as now, the writ of habeas corpus was issued by a superior court in the name of the Sovereign, and commanded the addressee ( a lower court, sheriff, or private subject ) to produce the prisoner before the royal courts of law.

Then Socrates goes on to demonstrate the contrary of the commonly accepted part using the law of noncontradiction.

Then to define multiplication, it suffices by the distributive law to describe the product of any two such terms, which is given by the rule

Then in 1253 Przemysł issued a charter to Thomas of Guben ( Gubin ) for the founding of a town under Magdeburg law, between the castle and the river.

Then by the law of moment of momentum, the torque on the fluid is given by:

Then again, the law has often met obstacles that first appeared insurmountable but were indeed surmounted before long.

Then he studied and practiced law with Manuel José de Labardén.

Then on August 5, 1797, John Brown of Providence, Rhode Island, was tried in federal court as the first American to be tried under the 1794 law.

Then, by Gauss's law, the potential satisfies Poisson's equation:

Then, as police vehicles, ambulances, fire trucks, and reporters came to the school, bombs set in the boys ' cars would detonate, killing the emergency personnel, media, and law enforcement officers ; this original plan backfired when the explosives did not detonate.

Then the coordinates of the vector V in the new coordinates are required to satisfy the transformation law

Then by substituting for I using Beer's law in natural logarithm form:

Then combining the last two expression with Beer's law, molar ellipticity becomes:

Then stood there up one in the council, a Pharisee, named Gamaliel, a doctor of the law, had in reputation among all the people, and commanded to put the apostles forth a little space ;

Then, in 1711, he was called to the professorship of history and civil law at Lausanne, finally settling as professor of public law at Groningen.

Then, in 1870, Congress passed a law that prohibited the use of a Presidential pardon as the basis for claiming sale proceeds, and further said that acceptance of such a pardon was evidence that the person pardoned did provide support to the South and was ineligible to recover sale proceeds.

Then Kolmogorov's zero-one law asserts that for any event

Then he graduated in law from the University of Pavia in 1758.

Then the laws are discussed in detail: first the chief ten commandments ( the Decalogue ), and then the precepts in amplification of each law.