With the intent to honor his grandfather, Bache explicitly referred to the sun on the back of Washington ’ s chair at the Constitutional Convention when he used the motto, “ Surgo Ut Prosim ,” translated as, “ I rise to be useful .” For Bache, the motto symbolized the dawning, not the setting of the sun on the new republic.

For he seemed to sense at once that before him was no South Sea, but the solid bulk of the North American continent.

For a serious young man who plays golf with a serious intensity, Palmer has such an inherent sense of humor that it relieves the strain and keeps his nerves from jangling like banjo strings.

For this does not account for the integral, elemental power of that which grows with abounding vigor as the play unfolds, nor does it explain the strange numinous sense of presentness which comes over those who watch the play like a spell.

For a moment he could make no sense at all of what he saw.

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 Anthony Ashley-Cooper, 3rd Earl of Shaftesbury this was identical to the moral sense, beauty just is the sensory version of moral goodness.

For Francis Hutcheson beauty is disclosed by an inner mental sense, but is a subjective fact rather than an objective one.

If nature cannot err, then there are no paradoxes in it ; to Hobbes, the paradox is a form of the absurd, which is inconsistency: " Natural sense and imagination, are not subject to absurdity " and " For error is but a deception ...

For these reasons and others the breeds overall production efficiency in an economic sense is still unclear.

For one thing, if verbal reports are treated as observations, akin to observations in other branches of science, then the possibility arises that they may contain errors — but it is difficult to make sense of the idea that subjects could be wrong about their own experiences, and even more difficult to see how such an error could be detected.

For a certain class of Green functions coming from solutions of integral equations, Schmidt had shown that a property analogous to the Arzelà – Ascoli theorem held in the sense of mean convergence — or convergence in what would later be dubbed a Hilbert space.

For him, the sense of an expression in language describes a certain state of affairs in the world, namely, the way that some object is presented.

For ' crannogs ' in the strict sense, typically this effort began on a shallow reef or rise in the lochbed.

For the most part, eukaryotic cells sense the presence of chemotactic stimuli through the use of 7-transmembrane ( or serpentine ) heterotrimeric G-protein coupled receptors.

For each such specific sense, a definiens is a cluster of words that defines that term.

For example, when a laboratory apparatus was developed that could reliably fire one electron at a time through the double slit, the emergence of an interference pattern suggested that each electron was interfering with itself, and therefore in some sense the electron had to be going through both slits at once — an idea that contradicts our everyday experience of discrete objects.

For Derrida it is not possible to escape the dogmatic baggage of the language we use in order to perform a pure critique in the Kantian sense.

For formal approaches, the core message of ' dialectical opposition / contradiction ' must be understood as ' some sense ' opposition between the objects involved in a directly associated context.

For example, the proof that the column rank of a matrix over a field equals its row rank yields for matrices over division rings only that the left column rank equals its right row rank: it does not make sense to speak about the rank of a matrix over a division ring.

For Scholes, as well as for Cecil Sharp and Béla Bartók, there was a sense of the music of the country as distinct from that of the town.

For Capra, there would be pain and loss, but no enduring sense of tragedy would be allowed to intrude on his fabulist world .”

For example, German and Scandinavian " Hund " and Dutch " Hond " are the cognates of English " hound ", but whereas hund and hond refer to dogs in general, in English the sense has been narrowed to dogs used for hunting.

For the circulatory system and bone marrow in which cells can occur in a liquid suspension and not bound up in solid tissue, it makes sense for them to communicate by soluble, circulating protein molecules.

For example, a domestic ubiquitous computing environment might interconnect lighting and environmental controls with personal biometric monitors woven into clothing so that illumination and heating conditions in a room might be modulated, continuously and imperceptibly.

For quick approximations, it is enough to remember that doubling the distance reduces illumination to one quarter ; or similarly, to halve the illumination increase the distance by a factor of 1. 4 ( the square root of 2 ), and to double illumination, reduce the distance to 0. 7 ( square root of 1 / 2 ).

For illumination techniques like dark field, phase contrast and differential interference contrast microscopy additional optical components must be precisely aligned in the light path.

For an accurate estimate of direct illumination, a ray is traced from the point of intersection to each light source.

For an approximate estimate of indirect illumination, the photon map is used to calculate the radiance contribution.

For soft indirect illumination, radiance is calculated using the photon map directly.

* For soft indirect illumination, if the surface is Lambertian, then a technique known as irradiance caching may be used to interpolate values from previous calculations.

For most front feed horns, optimum illumination is achieved when the power radiated by the feed horn is 10 dB less at the dish edge than its maximum value at the center of the dish.

For a long time it was thought that Jan van Eyck was the first painter to make full use of the innovations apparent in manuscript illumination in panel painting.

For a given numerical aperture ( NA ), the resolution of microscopy for flat objects under coherent illumination can be improved using interferometric microscopy.

For both rod-and cone-mediated vision, the fusion frequency increases as a function of illumination intensity, until it reaches a plateau corresponding to the maximum time resolution for each type of vision.

For members of the B. O. T. A, the means whereby higher consciousness, illumination and enlightenment may be gained include both theory and practice.

For example, CdSe nanocrystals are highly toxic to cultured cells under UV illumination.

For example, an Earth-like planet at 1. 25 astronomical units from α Cen A ( with a revolution period of 1. 34 years ) would get Sun-like illumination from its primary, and α Cen B would appear 5. 7 to 8. 6 magnitudes dimmer (− 21. 0 to − 18. 2 ), 190 to 2700 times dimmer than α Cen A but still 2100 to 150 times brighter than the full Moon.

For example the reversed form of the Cure Serious Wounds spell, which heals a touched target, is Cause Serious Wounds, which damages a touched target, while the reversed form of the Water Breathing spell, which allows the target to breathe water, is Air Breathing, which allows the target to breathe air, and the reversed form of the Continual Light spell, which provides magical illumination, is Continual Darkness, which causes magical darkness.

For example, a magical staff could have a fixed number of charges that can be spent to create a " blinding flash of light "; be able to provide " magical illumination " for several hours each day, and possess a permanent ability to " glow in warning " whenever it comes near a poisonous plant or animal.

For this, the slit is opened very wide and a diffuse, attenuated survey illumination is produced by inserting a ground glass screen or diffuser in the illuminating path.

For example, illumination within a volumetric display can either reach the eye directly from the source or via an intermediate surface such as a mirror or glass ; likewise, this surface, which need not be tangible, can undergo motion such as oscillation or rotation.

Upon his resignation, Senator Ted Kennedy stated, " For three-quarters of a century life has been a light in a world that cries out for illumination.

For this reason, xenon arc lamps of smaller sizes, down to 10 watts, are used in optics and in precision illumination for microscopes and other instruments, although in modern times they are being displaced by single mode laser diodes and white light supercontinuum lasers which can produce a truly diffraction limited spot.

For a given indoor scene, every object in the room must contribute illumination to every other object.

For ray-tracing global illumination algorithms, incoming and outgoing light can be considered as reversals of each other, without affecting the bidirectional reflectance distribution function ( BRDF ) outcome.