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By and simple
By 800 social and cultural security had been achieved, at least on a simple plane ; ;
By contrast, for higher frequency radiations at ultraviolet frequencies and above ( i. e., X-rays and gamma rays ) the damage to chemical materials and living cells by EMR is far larger than that done by simple heating, due to the ability of single photons in such high frequency EMR to damage individual molecules chemically.
By the late nineteenth century, however, a handful of experimental anomalies remained that could not be explained by the simple wave theory.
* By the convolution theorem, Fourier transforms turn the complicated convolution operation into simple multiplication, which means that they provide an efficient way to compute convolution-based operations such as polynomial multiplication and multiplying large numbers.
" His predisposition for benevolence is clear in the statement " We whites ... must necessarily appear to them in the nature of supernatural beings .... By the simple exercise of our will we can exert a power for good practically unbounded ".
By showing how simple unintelligent forces can ratchet up designs of extraordinary complexity without invoking outside design, Darwin showed that an intelligent designer was not the necessary conclusion to draw from complexity in nature.
By the late 1800s, Franz Reuleaux identified hundreds of machine elements ( calling them " simple machines ").
Every simple R-module is isomorphic to a quotient R / m where m is a maximal right ideal of R. By the above paragraph, any quotient R / m is a simple module.
By removing the need to load the particle with the properties of space and time, a fully deterministic, local and causal description of quantum phenomena is possible by use of a simple dynamical operator on a Universal Invariant Set.
By 1900, restaurants serving Chinese cuisine from Canton and Shanghai offered a simple ramen dish of noodles ( cut rather than hand pulled ), a few toppings, and a broth flavored with salt and pork bones.
By using a simple model for stellar atmospheres, assuming local thermal equilibrium in a plane parallel geometry and the Eddington approximation, the effective temperature of the sun can be shown to occur at an optical depth of 2 / 3.
By contrast, the simple parity code cannot correct errors, and can detect only an odd number of errors.
" By 1814 Young had completely translated the " enchorial " ( demotic, in modern terms ) text of the Rosetta Stone ( he had a list with 86 demotic words ), and then studied the hieroglyphic alphabet but initially failed to recognize that the demotic and hieroglyphic texts were paraphrases and not simple translations.
:" By May 1928, basic principles of guerilla warfare, simple in nature and suited to the conditions of the time, had already been evolved ....
By the simple but costly expedient of never turning the machine off, the engineers reduced ENIAC's tube failures to the more acceptable rate of one tube every two days.
By the 10th century such Anglo-Norse crosses were the bulk of the production in England, as the high cross seems to have been abandoned further south, although the simple and practical Dartmoor crosses, no doubt an essential aid to navigating Dartmoor, appear to have continued to be made for centuries after.
By having no utility poles inside the village for power, cable, or telephone, it is relatively simple to return power to the entire village following a storm.
By 1833, simple buildings had been erected in Carthage, and the town was platted in 1838.
By now, Puyi has become a simple gardener who lives a peasant proletarian existence.
By placing high tariffs on imports and other protectionist, inward-looking trade policies the citizens of the respected country by simple supply and demand rationale will substitute the lesser expensive good for the more expensive.
By their very nature, indices are simple, and combine many details into a generalized, overall description of the atmosphere or ocean which can be used to characterize the factors which impact the global climate system.
By placing his mechanism above the loom, Vaucanson eliminated the complicated system of weights and cords ( tail cords, simple, pulley box, etc.
By comparing the phase of the received signal with the one being broadcast omnidirectionally, the angle can be determined using simple electronics.
By the 3rd century BCE, these writers had developed a simple, concise and economical prose style that served as a model of literary form for over 2, 000 years.

By and merits
By historism, he means the tendency to regard every argument or idea as completely accounted for by its historical context, as opposed to assessing it by its merits.
By the 1830s, the foundations of Czech literature were laid and authors now began to focus more on the artistic merits of their work and less on developing the idea of Czech literature and culture as a whole.
By mid-December 1923, primarily due to her merits in Down to the Sea in Ships, Bow was chosen the most successful of the 1924 WAMPAS Baby Stars.
By far the most common two are known as " calling up " and " calling down "; each has its merits and inconveniences, but generally any given tower will consistently use one system in preference to the other.
By 1913, the great merits of the tilting-pad bearing had been recognised for marine applications.
By the 1880s Müller was being courted by Charles Godfrey Leland, Helena Blavatsky and other writers who were seeking to assert the merits of " Pagan " religious traditions over Christianity.
By this stage, he had already attracted the attention of major clubs, with Manchester United scout Jack O ' Brien reporting back to manager Matt Busby in 1948 that he had " today seen a 12-year-old schoolboy who merits special watching.
By the infinite merits of the Sacred Heart of Jesus and the Immaculate Heart of Mary, I beg the conversion of sinners.
By the time the case reached the Supreme Court, Théberge had yet to proceed with his case on the merits.
By the infinite merits of the Sacred Heart of Jesus and the Immaculate Heart of Mary I beg the conversion of poor sinners.
By mid-2012, the merits of the ten routes had been considered, including the economic, environmental and technical issues involved, and a broad outline of the corridor for the link was scheduled to be published in September.
By some suppositions, Croatian prince Borna was a Frankish vassal sent from Liburnia to Dalmatia to organize it into a vassal state to the Frankish Empire ; in 820 AD, Louis the Pious rewarded him for his merits and devotion, by giving also Liburnia to his jurisdiction.

By and geometry
By 1957, he set this subject aside in order to work in algebraic geometry and homological algebra.
For example, periodic acid according to Kekuléan structure theory could be represented by the chain structure I-O-O-O-O-H. By contrast, the modern structure of ( meta ) periodic acid has all four oxygen atoms surrounding the iodine in a tetrahedral geometry.
By using a noncollinear interaction geometry Optical Parametric Amplifiers are capable of extremely broad amplification bandwidths.
By choosing an appropriate mapping, the analyst can transform the inconvenient geometry into a much more convenient one.
By the time he had finished, he was adept at algebra, geometry, land surveying, and English.
By using geometry, we find the distance between these two hyperplanes is, so we want to minimize.
By using time as a parameter in geometry, mathematicians have developed a science of kinematic geometry.
By 1126, Adelard returned to the West with the intention of spreading the knowledge he had gained about Arab astronomy and geometry to the Latin world.
By allowing also isometric ( or near-isometric ) deformations like bending, the intrinsic geometry of the object will stay the same, while sub-parts might be located at very different positions in space.
By observing parallax, measuring angles and using geometry, one can determine the distance to various objects in space, typically stars, although other objects in space could be used.
By a simple accident in geometry, all shock waves that should have had angles between 33 ° and 72 ° get compressed into a narrow band of wake with angles between 15 ° and 19 ° with the strongest constructive interference occurring at the outer edge, resulting in the two arms of the V in the Kelvin wake pattern.
By about 1950 it had become too difficult to tell which of the results claimed were correct, and the informal intuitive school of algebraic geometry simply collapsed due to its inadequate foundations.
By his will he left his inherited Cheshire properties to the University of Cambridge for the foundation of a chair of astronomy and geometry.
By the end of the 1890s Bukreev began to undertake research into differential geometry.
By the Fundamental theorem of projective geometry a reciprocity is the composition of an automorphic function of K and a homography.
By changing the shape of standard factory cases ( decreasing case taper and / or changing the shoulder geometry ) the wildcatter generally increases the case capacity of the factory parent cartridge case, allowing more propellant to be used to generate higher velocities.
By applying techniques from homotopy theory and K-theory to algebraic geometry, Voevodsky constructed a bigraded motivic cohomology theory
By a rescript of Constantine I and Constans ( 344 AD ) the teachers and learners of geometry received immunity from civil burdens.
By working out the differential geometry, it can be shown that this differential edge detector can equivalently be expressed from the zero-crossings of the second-order differential invariant
By simple geometry, it can also be shown that the point Q is the inverse of P with respect to the given circle.
By 1794 he was aiding his old instructor, Gaspard Monge, in creating material for a course on descriptive geometry.
By altering the geometry of the turbine housing as the engine accelerates, the turbo's aspect ratio can be maintained at its optimum.

5.140 seconds.