For Alexander Gottlieb Baumgarten aesthetics is the science of the sense experiences, a younger sister of logic, and beauty is thus the most perfect kind of knowledge that sense experience can have.

For Friedrich Schiller aesthetic appreciation of beauty is the most perfect reconciliation of the sensual and rational parts of human nature.

For example, a perfect crystal of diamond would only contain carbon atoms, but a real crystal might perhaps contain a few boron atoms as well.

For instance, in a perfect sheet of graphite ( graphene ) all atoms are in rings containing six atoms.

For a finite group, the derived series terminates in a perfect group, which may or may not be trivial.

For an infinite group, the derived series need not terminate at a finite stage, and one can continue it to infinite ordinal numbers via transfinite recursion, thereby obtaining the transfinite derived series, which eventually terminates at the perfect core of the group.

For the perfect dandy, these things are no more than the symbol of the aristocratic superiority of his mind.

For example, the K ' iche ' language spoken in Guatemala has the inflectional prefixes k-and x-to mark incompletive and completive aspect ; Mandarin Chinese has the aspect markers-le 了 ,-zhe 着, zài-在, and-guò 过 to mark the perfective, durative stative, durative progressive, and experiential aspects, and also marks aspect with adverbs ; and English marks the continuous aspect with the verb to be coupled with present participle and the perfect with the verb to have coupled with past participle.

For example, the English verbs " to know " ( the state of knowing ) and " to find out " ( knowing viewed as a " completed action ") correspond to the imperfect and perfect of the French verb " savoir ".

For example, following the ideas of Greek philosopher and scientist Aristotle, scientists reasoned that a cannonball falls down because its natural position is in the earth ; the sun, the moon, and the stars travel in circles around the earth because it is the nature of heavenly objects to travel in perfect circles.

For example, a non-identity finite group is simple if and only if it is isomorphic to all of its non-identity homomorphic images, a finite group is perfect if and only if it has no normal subgroups of prime index, and a group is imperfect if and only if the derived subgroup is not supplemented by any proper normal subgroup.

For example, the first four perfect numbers are generated by the formula 2 < sup > p − 1 </ sup >( 2 < sup > p </ sup >− 1 ), with p a prime number, as follows:

For Descartes, morals was a science, the highest and most perfect of them, and like the rest of sciences had its roots in Metaphysics.

" In a five star review for Empire Magazine, Ian Nathan wrote, " For those who delight in the Coens ' divinely abstract take on reality, this is pure nirvana " and " In a perfect world all movies would be made by the Coen brothers.

For example, a perfect six-sided die

For the purposes of the Sprague – Grundy theorem, a game is a two-player game of perfect information satisfying the ending condition ( all games come to an end: there are no infinite lines of play ) and the normal play condition ( a player who cannot move loses ).

6: 2, " For if you are able to bear the entire yoke of the Lord, you will be perfect ; but if you are not able to do this, do what you are able " ( Roberts-Donaldson ), and reflected in the Apostolic Decree of the Council of Jerusalem ().

For such games the subgame perfect Nash equilibrium may be more meaningful as a tool of analysis.

For example, one could move the pitch of every note up by a perfect fifth, keeping the tempo the same.

For perfect reconstruction, the spectrum analyzer must preserve both the amplitude and phase of each frequency component.

For example, we can determine whether a given integer is a perfect number, even though we do not have a formula for the nth perfect number.

For example: the Wolfsegg Iron was said to be a perfect cube, but in fact it is not ; the Klerksdorp spheres were said to be perfect spheres, but they are not ; and the Iron pillar of Delhi was said to be stainless, but it has some rust near its base.

For instance, a particular type of LC molecule ( called mesogen ) may exhibit various smectic and nematic ( and finally isotropic ) phases as temperature is increased.

For example, the nematic phase consists of long rod-like molecules such as para-azoxyanisole, which is nematic in the temperature range 118 – 136 ° C.

For although I had crossed a corner of the hall on my way to the toilet I still could not tell for sure how far to the rear the darkness extended.

For a blood-chilling ring of terror to the very sound of his name was the tool he needed for the job he'd promised to do.

For better or for worse, we all now live in welfare states, the organizing principle of which is collective responsibility for individual well-being.

For ten minutes they ran beneath the squall, raising their arms and, for the first time, shouting and capering.

For this love of the boy for his mother is a hopeless and forbidden love, doomed by its nature.

Later Helion wrote of this phase: `` For years I built for myself a subtle instrument of relationships -- colors and forms without a name.

For innocence, of all the graces of the spirit, is I believe the one most to be prayed for.

For a freshman Congressman to read political Lessons to graybeard Democrats was poor policy for one who needed to make friends.

For some time, despondency in some Northern quarters had been displayed in two ways -- an eagerness for peace and a dissatisfaction with Lincoln.

For them only a little more needed to be learned, and then all physical knowledge could be neatly sorted, packaged and put in the inventory to be drawn on for the solution of any human problem.

For a time, urging Breasted to give up his public relations work and take up writing instead, he hoped to persuade him to become his assistant in research for the labor novel ; ;

For a time it appeared that a common European army might be created, but the project for a European Defense Community was rejected by the French National Assembly in 1954.

In his recent book, Hurray For Anything ( 1957 ), one of the most important short poems -- and it is the title poem for one of the long jazz arrangements -- is written for recital with jazz.

For some time the Communists honored the distinction between the Soviet zone of Germany and the Soviet sector of Berlin by promulgating separately the laws for the two areas.

For it was the millions of buffalo and prairie chicken and the endless seas of grass that symbolized for a whole generation of Americans the abundant supply that was to take many of them westward when the Ohio and Mississippi valleys began to fill.

For the most part, however, the new version is contemporary and, as such, should be the means for many to attain a clearer comprehension of the meaning of those words recorded so many hundreds of years ago by the first followers of Christ.

For those who `` like poetry but never get around to reading it '', the Library of Congress makes it possible for poets to be heard reading their own work.

For it is the family that, in China, has always provided social security for the indigent, the sick, the down-and-out members of the clan.

For years he wore hand-me-down suits and homemade paper collars, was even driven to scrounging for cigarette butts in Vienna's gutters.

For an instant John longed for the sound of the bells of Noyon-la-Sainte, the touch of his mother's hand, the lilt of Charles's voice in the square raftered rooms, his father's bass tones rumbling to the canons, and the sight of the beloved bishop.

For further information, contact the Bank for Cooperatives serving the region, or the Farm Credit Administration, Research and Information Division, Washington 25, D.C..

For the dignity, the influence, and the power of the legislative branch of our Government -- it is a privilege for us to do honor to this great man who represents not alone his own district but all the people of our country.

For what Sam Rayburn's life in this House teaches us is that loyalty and character are not divisive and there is no such thing as being for your country and neglecting your district.