These observations indicate that the lunar maria heat up more rapidly and also cool off more rapidly than do the mountainous regions.

These observations about Hardy's productivity tally with the details of his life as we know them.

These dynamic relationships, between what can be observed on the ground, as opposed to what can be observed by compiling many local observations remain fundamental in any kind of anthropology, whether cultural, biological, linguistic or archaeological.

These observations led him to suspect that the flea might be an intermediary factor in the transmission of plague, since people acquired plague only if they were in contact with recently dead rats, who had died less than 24 hours before.

These were lists, prepared by collating observations on the actions of substances one upon another, showing the varying degrees of affinity exhibited by analogous bodies for different reagents, and they retained their vogue for the rest of the century, until displaced by the profounder conceptions introduced by Claude Berthollet.

( These two observations combine as real and imaginary parts in Cauchy's integral theorem.

These observations appeared to contradict the wave theory, and for years physicists tried in vain to find an explanation.

These observations led to the postulation of a rotating bar structure in the center of the Galaxy.

These form part of the Europe-wide Megalithic culture which also produced Stonehenge in Wiltshire, and which pre-historians now interpret as showing sophisticated use of astronomical observations.

These observations were compared against calculations.

These assumptions have no obvious physical foundation but led to predictions which agreed with many experimental observations, including the Arago spot.

These observations formed the basis of his explorations of the laws of optics that would culminate in Astronomiae Pars Optica.

These studies were recorded in 13, 000 pages of notes and drawings, which fuse art and natural philosophy ( the forerunner of modern science ), made and maintained daily throughout Leonardo's life and travels, as he made continual observations of the world around him.

These injuries not only cause gruesome wounds, but may also impact population processes by reducing calf production ( and survival ) in wounded females – observations also speak to the likely pain and suffering endured ".

These observations also hinted that the companion was a main sequence star of around 0. 7 solar masses and spectral type K, instead of a white dwarf as originally thought.

These observations solved the weight paradox and set the stage for the new caloric theory of combustion.

These observations corroborated Alexander Friedman's 1922 work, in which he derived the famous Friedmann equations.

These relate to the way in which observations have been gathered and may often involve an assumption of random selection of some type.

These assumptions involve the joint probability distributions of either the observations themselves or the random errors in a model.

These observations eventually overthrew the belief that Israel had always worshipped no other god but Yahweh.

These weather observations, predominantly in the METAR format, are available over the radio, through Automatic Terminal Information Service ( ATIS ), via the ATC or the Flight Service Station.

These calculations were confirmed by the experimental observations in 2003.

These included Guillaume Rondelet who described his observations in the Mediterranean and Pierre Belon who described the fish and birds that he had seen in France and the Levant.

These are merely the more " reliable observations " of alleged intra-Mercurial planets.

These observations indicated the presence of a denser atmosphere than was deduced from Voyager 2 data.

These will serve as lifting pads for the electrical contacts.

These bunks also serve as a fence, so part of the additional cost must be attributed to the fence.

These changes represent, in effect, a shift from ( 1 ) an administrative compilation of data obtained through procedures designed primarily to serve political and economic objectives to ( 2 ) a systematic sampling census of the whole African population.

`` These actions should serve to protect in fact and in effect the court's wards from undue costs and its appointed and elected servants from unmeritorious criticisms '', the jury said.

These men -- for the most part educated in our `` best '' New England colleges, well established financially and socially in the community -- under kindly but insistent probing, reveal little or no objective or explicit criteria or data for their generalizations about the interests and attitudes of the people they claim to serve, or about the public responses that actually follow their occasional breach of a `` client-service relationship ''.

These " abbots " are appointed by the brothers and sisters of Redwall to serve as a superior and provide paternal care, much like real abbots.

These papal bulls came to serve as a justification for the subsequent era of slave trade and European colonialism.

These numbers provide valuable services to the customers they serve ; it is, therefore, inadvisable to misuse them.

These conventions allow some operators in both languages to serve both as predicates ( answering a boolean-valued question ) and as returning a useful value for further computation, but in Scheme the value '() which is equivalent to NIL in Common Lisp evaluates to true in a boolean expression.

These higher speeds better serve the longer distances involved.

These myths often depict creation as the result of a sexual union, and serve as genealogical record of the deities born from it.

These controls serve the purpose to maintain the system's quality attributes, among them confidentiality, integrity, availability, accountability and assurance.

These films leave the impression that Clark Kent is really a secret identity that is used to enable Superman to serve humanity better, rather than just a role to help him assimilate into the human community.

These are trained to serve out of fear until they obtain sufficient knowledge to serve out of love.

These provide both a means for cruising sailors to stay in touch with families and loved ones and equally serve to propagate the lifestyle and share information between cruisers and ' want-to-be ' cruisers.

These two " Official Declarations " are not revelations, but they serve as the formal announcements that a revelation was received.

These formulas can even serve as the definition of the trigonometric functions for complex arguments x.

These influences serve to reinforce the conclusion that the Book of Exodus originated in the exiled Jewish community of 6th-century Babylon, but not all the sources are Mesopotamian: the story of Moses's flight to Midian following the murder of the Egyptian overseer may draw on the Egyptian Tale of Sinuhe.

These ethnic distinctions and subdivisions serve to define each ethnicity's unique cultural identity.

These fossils serve as a reminder that taxonomic divisions are human constructs that have been imposed in hindsight on a continuum of variation.

These trains usually connect larger agglomerations to the suburban areas, although in the case of the Rhein-Ruhr S-Bahn these also serve as a method of interurban transport between large cities.

These tunnels serve as both a hiding place for the characters and as a place of secrets.

These offices serve as the official representative of the Government of the Hong Kong SAR in these countries.

These used three crankshafts to serve three banks of double-ended cylinders arranged in an equilateral triangle with the crankshafts at the corners.