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These and analysis
These curves were derived by an analysis of extensive skywave measurement data.
These axioms are sufficient for many proofs in elementary mathematical analysis, and are consistent with some principles, such as the Lebesgue measurability of all sets of reals, that are disprovable from the full axiom of choice.
These techniques allowed for the discovery and detailed analysis of many molecules and metabolic pathways of the cell, such as glycolysis and the Krebs cycle ( citric acid cycle ).
These equations can be used as the starting point in the analysis of a flexible chain acting under any external force.
These generalizations of the convolution have applications in the field of numerical analysis and numerical linear algebra, and in the design and implementation of finite impulse response filters in signal processing.
These summaries may either form the basis of the initial description of the data as part of a more extensive statistical analysis, or they may be sufficient in and of themselves for a particular investigation.
These methods are analogous to methods used in other areas of science, such as the field of system identification in systems analysis and control theory.
These estimates are important for engineers and economists so that proper risk analysis can be performed to influence investment decisions in future infrastructure and to determine the yield reliability characteristics of water supply systems.
These photos, widely recognized as some of the most significant evidence against Oswald, have been subjected to rigorous analysis.
These techniques use these different fluorophores for analysis of cell structure at a molecular level in both live and fixed samples.
These include the program of intuitionism founded by Brouwer, the finitism of Hilbert and Bernays, the constructive recursive mathematics of Shanin and Markov, and Bishop's program of constructive analysis.
These areas perform signal-processing functions that include feature detection, perceptual analysis, memory recall, decision-making, and motor planning.
These include DNA cloning for sequencing, DNA-based phylogeny, or functional analysis of genes ; the diagnosis of hereditary diseases ; the identification of genetic fingerprints ( used in forensic sciences and paternity testing ); and the detection and diagnosis of infectious diseases.
These programs cultivated democratic values and promoted active participation in political analysis.
These more general concepts are particularly useful in fields such as computer science and natural language processing where many of the basic elements of analysis are non-numerical.
These proposals were based on an analysis of the RNA polymerases and are still under consideration.
These order-theoretic properties lead to a number of important results in real analysis, such as the monotone convergence theorem, the intermediate value theorem and the mean value theorem.
These figures were extracted through an analysis of the papers contained within the MEDLINE database.
These shows often rely less on political discussion and analysis than their AM counterparts, and often employ the use of pranks and " bits " for entertainment purposes.
These electrons are then directed into an electron multiplier for analysis.
These discoveries also played a key role in the development of a new discipline of geohistorical analysis within geology in the 1820s that sought to understand the history of the earth by using evidence from fossils to reconstruct extinct organisms and the environments in which they lived.
These patterns can then be seen as a kind of summary of the input data, and may be used in further analysis or, for example, in machine learning and predictive analytics.
These findings have also been confirmed by stereotactic microelectrode analysis of single cortical neurons in a study, which involved nine patients undergoing bilateral cingulotomy.
These sequences have been used to make a comparative analysis between P. tricornutum and the putative complete proteomes from the green alga Chlamydomonas reinhardtii, the red alga Cyanidioschyzon merolae, and T. pseudonana.
These properties are the reason why monotonic functions are useful in technical work in analysis.

These and shed
These connections shed the boundaries between combinatorics and parts of mathematics and theoretical computer science, but at the same time led to a partial fragmentation of the field.
These features are not seen on modern spiders, thus studying the Kimura-gumo can shed light on the evolution of all spiders.
These hormone drops cause the uterus to shed its lining and egg in a process termed menstruation.
These translations do not shed any light on the nature of dharana, dhyana and samadhi.
These pups do not swim at first until they shed their white coat.
These sediments are the cells that are shed by the autopsy and biopsy specimen during processing.
These images are also interesting because they shed light on what people in the Renaissance fancied about the alleged æsthetic qualities of Greek and Roman antiquities.
These are only broken up and reshuffled ' on shed ' ( in the maintenance depot ).
These are the WNh ( and also WNha ) stars and they have not yet shed their hydrogen shells.
These plants are adapted to high rainfall and humidity, and have leaves with a generous layer of wax, making them glossy in appearance, and a narrow, pointed-oval shape with a ' drip tip ', which permits the leaves to shed water despite the humidity, allowing transpiration to continue.
These plants are adapted to high rainfall and humidity, and have leaves with a generous layer of wax, making them glossy in appearance, and a narrow, pointed-oval shape with a ' drip tip ', which permits the leaves to shed water despite the humidity, allowing transpiration to continue.
These include the goods shed which now houses a railway museum and the old station master ’ s house.
These stains are permanent, but only color the top few layers of skin, and thus disappear after about a fortnight, when the skin is naturally shed.
These represent the earliest surviving use of Gaelic in Scotland and are important for the light they shed on the development of Gaelic in Scotland.
These steps were done in accordance with Con Ed's use of the words " shed load " while the Power Pool operators had in mind opening feeders to immediately drop about 1500 MW of load, not reduce voltage to reduce load a few hundred MW.
These plants are small with fleshy roots, and reproduce by spores shed into the air.
These Frankish Popes were military leaders according to Saint Boniface known to " shed the blood of Christians like that of the pagans.
These two politicians were assassinated and seen as dying for India, or important individuals who “… shed their blood for the nation ” ( Copeman 131 ).
These platforms are clearly visible and a goods shed still stands on the east side of the line at the Taunton end of the station, although the station closed on 5 October 1964.
These tablets shed much light on Egyptian relations with Babylonia, Assyria, the Mitanni, the Hittites, Syria, Canaan, and Alashiya ( Cyprus ).
These editions are recorded in a specially adapted potting shed at Sparsholt College near Sparsholt, Winchester ; where the regular panel members also maintain a small demonstration garden, curated by Rosie Yeomans.
These, as well as other rolling stock, are accommodated in the newly completed carriage shed.
These four sons were said to have been given her for the four tears which she shed at parting with her mother-in-law ( Babylonian Talmud, Sotah 42b ).
These complexes are degraded by proteases, eventually permitting cells to be shed at the surface.
These are " Kathryn " currently painted blue and in the shed receiving some initial assessment, while Bagnal Austerity " The Duke " has had its tank removed and other minor work carried out.

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