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 ".

We came down off the wall as if he had toppled all of us, and we crouched behind it.

We came on as soon as we could ''.

We rode over roads so rough that our Jeep came to rest atop the soil between ruts, all four wheels spinning uselessly.

We were not, however, prepared for anything like the apparition that confronted us as Felix came up the stairs.

We are not certain that the word " democracy " was extant when systems that came to be called democratic were first instituted, but around 460 BC an individual is known whose parents had decided to name him ' Democrates ', a name which may have been manufactured as a gesture of democratic loyalty ; the name can also be found in Aeolian Temnus, not a particularly democratic state.

Idle stated: " We would only do a reunion if Chapman came back from the dead.

We learn in the former poem that his father came from Cyme in Aeolis ( on the coast of Asia Minor, a little south of the island Lesbos ), and crossed the sea to settle at a hamlet, near Thespiae in Boeotia, named Ascra, " a cursed place, cruel in winter, hard in summer, never pleasant " ( Works, l. 640 ).

In a fuller description, when angels came to Abraham to tell him of the future punishment to be imposed on Sodom and Gomorrah, his wife, Sarah, " laughed, and We gave her good tidings of Isaac, and after Isaac of ( a grandson ) Jacob " ( XI: 71-74 ); and it is further explained that this event will take place despite Abraham and Sarah's old age.

A Karaim of Trakai talking in Karaim language in a documentary says We, descendants of Khazars of Kipchaks, came to Lithuania from Crimea long time ago.

We dare not seriously affirm it, but all the same it is certain that man came out of the slime of the earth, and his first appearance must have been in the form of a rough sketch.

We were not even using the word flow until Rakim came along.

Crystal remembers saying, "' We need something for Sally to talk about ,' and Nora said, ' Well, faking orgasm is a great one ,' and right away we said, ' Well, the subject is good ,' and then Meg came on board and we talked with her about the nature of the idea and she said, ' Well, why don't I just fake one, just do one?

We were planted here before the Prophet Abraham came, but it looks like they don't understand history or geography.

The most telling criticism, however, came perhaps from within the Group's own ranks, when on the eve of war Keynes gave a " nostalgic and disillusioned account of the pure sweet air of G. E. Moore, that belief in undisturbed individualism, that Utopianism based on a belief in human reasonableness and decency, that refusal to accept the idea of civilisation as ' a thin and precarious crust ' ... Keynes's fond, elegiac repudiation of his " early beliefs ", in the light of current affairs (" We completely misunderstood human nature, including our own ")".

The band's drummer Roger Taylor commented ; " We never thought we would tour again, Paul came along by chance and we seemed to have a chemistry.

# We eat only matzah because our ancestors could not wait for their breads to rise when they were fleeing slavery in Egypt, and so they were flat when they came out of the oven.

# We came to the conclusion that the wife could not claim this right on any legal basis.

The first mention of the Federation not using money came in Star Trek IV: The Voyage Home, where Kirk ( coming from 2286 ) says " these people still use money " upon arriving at 20th-century Earth, and says " We don't " when asked whether or not he and his crew use money in the 23rd century.

According to Jackson, " We all sat there in a circle with the dollars running out, and nobody came up with anything.

We had through the five years government learned to respect and appreciate our king and now, through his words, he came to us as a great man, just and forceful ; a leader in these fatal times to our country ".

We were out all the time around the clock and every time we came across a really juicy murder or scandal or whatever, they ’ d send the big time reporters and photographers, otherwise they ’ d run our stories.

" The free standing figures were arranged on 5 or 6 different levels .” We are now able to justify that Pliny ’ s knowledge came from a work written by the architect.

As the conquistador Bernal Díaz del Castillo observed, " We came to serve God and his Majesty, to give light to those in darkness, and also to acquire that wealth which most men covet.

We do know, however, that his early spiritual training came from Ramananda, who became his guru when Kabir was still a child.