Then one must extract the principles, analogies and statements by various courts of what they consider important to determine how the next court is likely to rule on the facts of the present case.

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

Then consider a vector tangent to:

Then he made a serious gaffe by announcing to an audience of New York City's Jewish community that, if nominated, he would consider Reverend Jesse Jackson as a Vice Presidential candidate.

Then we may consider two concepts: Empty and Full.

Then consider two scenarios:

: Then consider the God's rivals, hear what Claudius

Then consider the case of American immigration.

Then consider the island only has one street ( Indian Creek Island Drive ) with only 32 waterfront homes spread out over 38 waterfront lots, all with estimated values ranging from $ 7 to $ 30 million ( current listings range from $ 15 to over $ 50 million on this brokerage site ).

Then again, in biology we often need to consider motherhood over an arbitrary number of generations: the relation " is a matrilinear ancestor of ".

We can consider this an exchange ( Margrabe ) option by considering the first asset to be and the second asset to be the riskless bond paying off $ 1 at time T. Then the call option is exercised at time T when the first asset is worth more than K riskless bonds.

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 it will be in a position to consider how to distribute assets between asset types ( i. e. asset allocation ); the institution can also calculate the scenario-weighted expected return ( which figure will indicate the overall attractiveness of the financial environment ).

Then sheaf cohomology enables us to consider a similar extension problem while " continuously varying " the Abelian group.

One visitor refused to remove his " even if the King were present " but Lambert replied that " Then by G ——, Sir, you must instantly quit this room, as I do not consider it a mark of respect due to myself, but to the ladies and gentlemen who honor me with their company.

Then the Falcons crew and Harrar make it to the dhuryam and they try to coerce Master Shaper Qelah Kwaad into convincing the brain to cease its destructive activities before they consider killing it.

Then as a being Man divides into two distinct groups: those who recognize their cosmic condition, seek divine guidance ( by ' reading ' God's word ), and bow to God's will ( symbolized by ' prostration '); and those who even in the face of these apparent wonders of Man's condition, consider the Human to be an ' independent ' entity, answerable to no transcendent authority, and even more contentiously, take it upon themselves to prevent the first class of man from following God's Word and submitting to Him.

* Then Portsmouth first-team coach Kevin Bond, who was first team coach of Newcastle United at the time of airing, is secretly recorded admitting he would consider discussing receiving payments from a proposed new agency involving agent Peter Harrison.

Then, in 2002, just prior to the Queen's pan-country tour to celebrate the Golden Jubilee, Manley ( at that point the designated minister in attendance for the sovereign's arrival in Ottawa ) stated: " I continue to think that for Canada after Queen Elizabeth, it should be time to consider a different institution for us, and personally I would prefer a wholly Canadian institution.

Then, it is natural to consider the problem of finding eigenvalues and eigenvectors ( which are now referred to as eigenbivectors ) such that

Then consider a propagating radio wave normal to that plane.

Then one may consider the set of pseudoholomorphic curves

Then in August 2003 he was accused of biting and then eye-gouging Wallabies hooker Brendan Cannon, and although there was insufficient video evidence to consider the biting charge, and he was found not guilty of gouging, he was still suspended for eight weeks for " attacking the face ".

Then there was Mark Howe and there was Henry Dwight Sedgwick, an accomplished man of letters who wrote in the spirit of Montaigne and produced in the end a formidable body of work.

Then he might finally recognize it, apparently by combining the visual blot, actually being seen, with tactual feelings in the head or body accompanying the tracing movements.

Then he got on his knees and rolled Roberts' body toward the edge.

Then, in the presence of a large number of foreign journalists, the body of Pasternak was removed to the cemetery.

Then he would be decapitated, and the dismembered parts of his body displayed so that they might become " prey for the fowls of the air ".

Then he rode his chariot over her body.

Then throw your body back and ride.

Then with the dawn of new technologies such as electricity, the telegraph, and new forms of powered transportation, writers including Jules Verne and H. G. Wells created a body of work that became popular across broad cross-sections of society.

Then the disciples marched to pick the oxen, which were actually wild bulls which the queen used to punish her enemies ; but again, at the sight of the Christian's cross, the bulls calmed down, and after being subjected to a yoke they carried the apostle's body to the place where now Compostela is.

Then, completely confident in his own safety, the narrator comments on the sturdiness of the building and raps upon the wall he had built around his wife's body.

Then the agitated and attenuated air returns to the amber body sweeping along with it whatever dust or small bodies are in its way '.

Then, CA3 axons exit from the deep part of the cell body, and loop up into the region where the apical dendrites are located, then extend all the way back into the deep layers of the entorhinal cortex — the Shaffer collaterals completing the reciprocal circuit ; field CA1 also sends axons back to the EC, but these are more sparse than the CA3 projection.

Then, the stream of vertices representing the body would be sent through the rasterizer.

Then in 1964 he reached his goal of discovering a way of moving the body in a more natural, beautiful and effective manner.

Then, complaining to Persephone that this was a sign of his wife's disrespect for him, King Sisyphus persuaded her to allow him to return to the upper world and scold his wife for not burying his body and giving it a proper funeral ( as a loving wife should ).

Then comes the story of the struggle between the gods of light and the powers of darkness, and the final victory of Marduk, who clove Tiamat asunder, forming the heaven from half of her body and the earth from the other.

Then he removes a bullet from her body and restarts her heart.

Then, as it travelled, a mechanism possibly containing differential gears used the different rotational speeds of the two wheels to turn the pointer relative to the body of the chariot by the angle of turns made ( subject to available mechanical accuracy ), keeping the pointer aiming in its original direction, to the south.

Then pall-bearers carried the coffin out into a gondola and the ' body ' - which was in fact a mechanical sculpture by Jean Tinguely-was ceremonially slid into the canal.

Then, indeed, that body ’ s flesh dissolves into a swarming colony of insect life: but who in looking on that body ’ s self, would hold it still for living?

Then, depending on the design of the figure, the costume may be sculpted directly onto the body.

Then he could not restrain himself and finally he broke out in a high-pitched laughter that very soon turned into a cry of pain, while the tears ran down his face, and his body twisted against his chains.

Then the just will reign with Christ for ever, glorified in body and soul, and the material universe itself will be transformed.

Then the body was transported to Little Rock to lie in state in the rotunda of the Arkansas State Capitol.