Because the result of performing the operation on a pair of elements of S is again an element of S, the operation is called a closed binary operation on S ( or sometimes expressed as having the property of closure ).

Because the volatility of a comet's material decreases as it gets further from the Sun, the comet becomes increasingly difficult to observe as a function of not only distance, but the progressive shrinking and eventual disappearance of its tail and the reflective elements it carries.

Because terbium was named after Ytterby, the city in which it and several other elements were discovered, this new element was named berkelium for the city in which it was synthesized.

Because of all of these elements and the importance of each one to the success of the course, seeking out a qualified, experienced course designer will help to insure that all of these factors are kept at the forefront.

Because the output pulses have a fixed amplitude, the switching elements ( usually MOSFETs, but valves ( vacuum tubes ) and bipolar transistors were once used ) are switched either completely on or completely off, rather than operated in linear mode.

Because Latin words are quite ( though not completely ) self-contained, an intelligible Latin sentence can be made from elements that are placed in a largely arbitrary order.

Because of its relative nuclear instability, lithium is less common in the solar system than 25 of the first 32 chemical elements even though the nuclei are very light in atomic weight.

Because the exponential map is surjective on some neighbourhood N of e, it is common to call elements of the Lie algebra infinitesimal generators of the group G. The subgroup of G generated by N is the identity component of G.

Because verbs carry much of the pitch in the English language, assonance can loosely evoke the tonal elements of Chinese poetry and so is useful in translating Chinese poetry.

Because the QS regulation covers a broad spectrum of devices and production processes, it allows some leeway in the details of quality system elements.

Because of the expansion of form ( those elements pertaining to form, key, instrumentation and the like ) within a typical composition, and the growing idiosyncrasies and expressiveness of the new composers from the new century, it thus became easier to identify an artist based on his work or style.

Because the purpose of a roof is to protect people and their possessions from climatic elements, the insulating properties of a roof are a consideration in its structure and the choice of roofing material.

Because of its extreme reactivity with oxygen and water, this element occurs naturally only in compounds with other elements, such as in the minerals strontianite and celestite.

Because no isotope of technetium has a half-life longer than 4. 2 million years ( technetium-98 ), its detection in 1952 in red giants, which are billions of years old, helped bolster the theory that stars can produce heavier elements.

Because it retains its strength at high temperatures and has a high melting point, elemental tungsten is used in many high-temperature applications, such as light bulb, cathode-ray tube, and vacuum tube filaments, heating elements, and rocket engine nozzles.

Because of the role played by water, metamorphic rocks generally contain many elements absent from the original rock, and lack some that originally were present.

Because an embedded system is often composed of a wide variety of elements, the debugging strategy may vary.

Because of the very short period in which Big Bang nucleosynthesis occurred before being stopped by expansion and cooling ( about 20 minutes after the Big Bang ), no elements heavier than beryllium ( or possibly boron ) could be formed.

DNA methylation frequently occurs in repeated sequences, and helps to suppress the expression and mobility of ' transposable elements ': Because 5-methylcytosine can be spontaneously deaminated ( replacing nitrogen by oxygen ) to thymidine, CpG sites are frequently mutated and become rare in the genome, except at CpG islands where they remain unmethylated.

Because saints ' lives are often included many miracle stories, " legend " in a wider sense came to refer to any story that is set in a historical context but that contains supernatural or fantastic elements.

Because the Aristotelian elements were a declining theory in Shakespeare ’ s time, it can also be read as nostalgia for a waning theory of the material world, the pre-seventeenth-century cosmos of elements and humors that rendered subject and world deeply interconnected and saturated with meaning.

Because these experimentally determined BEs are characteristic of specific elements, they can be directly used to identify experimentally measured peaks of a material with unknown elemental composition.

*' Because the traits distinguishing metals and nonmetals are qualitative in nature, some elements do not fall unambiguously in either category.

Because Bright's speeches were so much a part of him, there are long and numerous quotations, which, far from making the biography diffuse, help to give us the feel of the man.

Because God is what He is, the laws of the universe, material and spiritual, are what they are.

Because, honey, I thought silently, there are plenty of desert islands in every marriage -- long periods when you're hopelessly stranded, together.

Because administration of the forest highway system is a responsibility of the Secretary of Commerce with maintenance provided by the States and counties, this Development Program for the National Forests does not include estimates of the funds needed to maintain the forest highway system nor to construct the additions to it that are needed.

Because they are `` minority '' exercises and have but a limited appeal they soon find themselves in the limbo of the forgotten.

Because of this, it would appear inevitable that an increasing percentage of strategic missiles will seek self-protection in mobility -- at least until missile defenses are perfected which have an exceedingly high kill probability.

( Note: Because of light leakage from one ultraviolet source to another, the lights are switched by a commutator-like assembly rotated by a synchronous motor.

Because of their location, on the edge of the feed lot, fence-line bunks are not in the way of mechanical manure removal.

Because agricultural activities are seasonal and the areas of production and harvest of many foods are widely scattered geographically, and because of the high cost of transporting bulk food items any substantial distance to a central processing location, the use of large central processing stations, where low-cost radiation facilities approaching the megawatt range might be utilized, is inherently impracticable.

Because electrical forces ( the charge-excess ) are far more powerful than gravitation, the surface hydrogen atoms would shoot away from the sphere.

Because the levels themselves are random variables, some assumptions and the method of contrasting the treatments ( a multi-variable generalization of simple differences ) differ from the fixed-effects model.

Because constitutional claims are of great magnitude, appellate courts might be more lenient to review the claim even if it was not preserved.

Because of the ocean's great capacity to store and release heat, maritime climates are more moderate and have less extreme seasonal variations than inland climates.

Because of its simplicity, star hopping is a very common method for finding objects that are close to naked-eye stars.

Because CCD imagers are linear, image processing may be used to subtract away the effects of light pollution, which has increased the popularity of astrophotography in urban areas.

Because all clades are represented in the southern hemisphere but many not in the northern hemisphere, it is natural to conjecture that there is a common southern origin to them.

Because of their biological significance, amino acids are important in nutrition and are commonly used in nutritional supplements, fertilizers, and food technology.

Because of their relatively large mass, + 2 electric charge and relatively low velocity, alpha particles are very likely to interact with other atoms and lose their energy, so their forward motion is effectively stopped within a few centimeters of air.

Because of the tortuous terrain in places, villages and towns in the mountains — to which travel via motorized vehicles are of little use — are still located in the high Andes of Argentina, Bolivia, Peru, and Ecuador.

Because Ambrosius and Vortigern are shown in the Historia Brittonum as being in conflict, some historians have suspected that this preserves a historical core of the existence of two parties in opposition to one another, one headed by Ambrosius and the other by Vortigern.

Because of its elevation and distance from the coast, the Australian Capital Territory experiences four distinct seasons, unlike many other Australian cities whose climates are moderated by the sea.