We collected `` lucky stones '' -- all the creamy translucent pebbles, worn smooth and round, that we could find in the driveway.

We were forbidden to swing on the gates, lest they sag on their hinges in a poor-white-trash way, but we could stand on them, when they were latched, rest our chins on the top, and stare and stare, committing to memory, quite unintentionally, all the details that lay before our eyes.

We had been walking quite briskly, for despite your being so small and me so tall, your stride in those days could easily match mine.

We got Dr. Glenn to him as quickly as we could, and we wired Tom of Papa's desperate condition.

`` We tried to settle this dispute '', he said, `` but could never come to an agreement.

We were less than a quarter of a mile from the road, and we could trace its shape from the ribbon of powder smoke and dust that hung over it.

We came on as soon as we could ''.

We have the technology today with which to build aircraft shelters which could withstand at least 200 Aj.

We could put a portion of our strategic bombers in such shelters.

We quickly ran into the same trouble that plagued Bill Ruger in his first experiments: Three or four bullets would be placed well in a six-inch bull at 100 yards and then, unaccountably, one could stray far out of the group.

We could scarcely find eighty in our great land of over 180 million people.

`` We have tried to make both paths attractive, so that good men could find opportunity and satisfaction in either.

Says Clarence Thompson: `` We dealers must earn our mark-up by performing a service for the builder cheaper than he could do it himself ''.

We may conclude that all six points of information, ostensibly given by the dream priest, could have been furnished by Dr. Hilprecht's subconscious reasoning.

We could see maggots moving.

We planned ahead only one step, a rendezvous for tomorrow when we could swap notes.

We have to tell ourselves that when Parker spoke in this vein, he believed what he said, because he could continue, `` But the truth, which cost me bitter tears to say, I must speak, though it cost other tears hotter than fire ''.

`` We could put up cribs on the second floor sleeping porch and turn the front bedroom into a playroom where it's nice and sunny, but of course it would entail quite a bit of running up and down stairs and Chris said you were to be careful about that ''.

`` We had concluded that no race as ephemeral as yours could have had time to develop a sense of justice.

We could, alternatively, choose an encoding for Turing machines, where an encoding is a function which associates to each Turing Machine M a bitstring < M >.

We entered a small, narrow doorway, and went down two steps, but beyond those one could see nothing.

Patterson claimed to have screened the film for unnamed technicians " in the special effects department at Universal Studios in Hollywood ... Their conclusion was: ' We could try ( faking it ), but we would have to create a completely new system of artificial muscles and find an actor who could be trained to walk like that.

' We may take this literally, understanding that by a purely mechanical process one which could be carried out by a machine.

We can distinguish two groups of computer-generated music: music in which a computer generated the score, which could be performed by humans, and music which is both composed and performed by computers.

We may thus trace the notion of individual autonomy from its manifestation in religious practice and theological reflection through practical politics and political theory into literature and the arts.

In the rhyming catechism this doctrine is worded thus: `` In Adam's fall We sin-ned all ''.

We have chosen to give it at the end of the section since it deals with differential equations and thus is not purely linear algebra.

We thus have an optimal policy which maximizes the expected value of the objective function for a given Af.

We will make a few simplifying assumptions: that the uncompressed volume of the cylinder is 1000cc's ( one liter ), that the gas within is nearly pure nitrogen ( thus a diatomic gas with five degrees of freedom and so

We know that is opaque and thus follows that is opaque, so in the above equation, each operator can be written as a convex combination:

Leary received an honorary doctorate and spoke briefly at his alma mater's undergraduate commencement ceremony on May 16, 2005 ; he is thus credited as " Dr. Denis Leary " on the cover of his 2009 book, Why We Suck.

We have explained that ' regularity ' must be understood to exclude all pseudo-initiatic organizations, which, regardless of pretention and outward appearance, in no way possess any spiritual influence and thus are incapable of transmitting anything .”

The EPR paper says: " We are thus forced to conclude that the quantum-mechanical description of physical reality given by wave functions is not complete.

Here, we are told, ' We need to go beyond the pleasure principle, the reality principle, and repetition compulsion to ... the fantasy principle ' - ' not, as Freud did, reduce fantasies to wishes ... consider all other imaginable emotions '; and thus envisage emotional fantasies as a possible means of moving beyond stereotypes to more nuanced forms of personal and social relating.

We thus obtain a functor from the category of pointed topological spaces to the category of groups.

We have thus over-counted the actual number of states.

We thus say that dog and dogs are different forms of the same lexeme.

In response to the claim in Whewell's treatise that " We may thus, with the greatest propriety, deny to the mechanical philosophers and mathematicians of recent times any authority with regard to their views of the administration of the universe ", Charles Babbage published what he called The Ninth Bridgewater Treatise, A Fragment.

We sent it in, and Schopf reacted strongly against it — thus signaling the tenor of the reaction it has engendered, though for shifting reasons, down to the present day.

We are thus forced to conclude that the quantum-mechanical description of physical reality given by wave functions is not complete.

We thus obtain the inequality in terms of dimensions of kernel, which can then be converted to the inequality in terms of ranks by the rank-nullity theorem.

We are enabled thus to contrast Tacitus with Josephus, who warped his narrative to do honour to Titus.

We can thus understand the high importance of barriers, whether of land or water, which separate our several zoological and botanical provinces.

We can thus understand the localisation of sub-genera, genera, and families ; and how it is that under different latitudes, for instance in South America, the inhabitants of the plains and mountains, of the forests, marshes, and deserts, are in so mysterious a manner linked together by affinity, and are likewise linked to the extinct beings which formerly inhabited the same continent ... On these same principles, we can understand, as I have endeavoured to show, why oceanic islands should have few inhabitants, but of these a great number should be endemic or peculiar ; ...

We thus say that in order to solve this problem, the computer needs to perform a number of steps that grows linearly in the size of the problem.

i. e., z is a vector orthogonal to the vector v ( Indeed, z is the projection of u onto the plane orthogonal to v .) We can thus apply the Pythagorean theorem to

We obtain the same variation in probability amplitudes by allowing the time at which the photon left the source to be indeterminate, and the time of the path now tells us when the photon would have left the source, and thus what the angle of its " arrow " would be.

We recognize this genre ; thus, expectations are set.

We have also come to understand Harvey's somewhat unorthodox method of dealing with his gout, here cited completely: "... his ( Harvey's ) cure was thus: he would sit with his legs bare ... put them into a pail of water till he was almost dead with cold, then betake himself to his stove, and so ' twas gone ".