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combination and modulus
* If and are functions from the metric space X to the Banach space, with moduli respectively and, then any linear combination has modulus of continuity.

combination and relatively
In combination with the relatively low coefficient of linear thermal expansion ( 11. 4 × 10 < sup >− 6 </ sup > K < sup >− 1 </ sup >), these characteristics result in a unique stability under conditions of thermal loading.
A combination of bipolar I, II and cyclothymia produced concordance rates of 42 % vs 11 %, with a relatively lower ratio for bipolar II that likely reflects heterogeneity.
The low-voltage electron microscope ( LVEM ) is a combination of SEM, TEM and STEM in one instrument, which operates at relatively low electron accelerating voltage of 5 kV.
There are, relatively speaking, no such simple solutions for factorials ; any combination of sums, products, powers, exponential functions, or logarithms with a fixed number of terms will not suffice to express n < nowiki >!</ nowiki >.
The combination of southeastern trade winds and northwestern monsoons produces a hot rainy season ( November — April ) with frequently destructive cyclones, and a relatively cooler dry season ( May — October ).
The north has a continental climate ( cold winters and hot summers ); the central region has a combination of a continental and Mediterranean climate ; the southern region had an Adriatic climate along the coast, with inland regions experiencing hot, dry summers and autumns and relatively cold winters with heavy snowfall inland.
In these terms, the syntactic parse of the sentence John ate every bagel would consist of a subject ( John ) and a predicate ( ate every bagel ); Montague showed that the meaning of the sentence as a whole could be decomposed into the meanings of its parts and relatively few rules of combination.
This mathematical combination creates a problem for crawlers, as they must sort through endless combinations of relatively minor scripted changes in order to retrieve unique content.
The surface temperature of Earth has been relatively constant through geologic time despite varying levels of incoming solar radiation ( insolation ), indicating that a dynamic process governs Earth's temperature via a combination of greenhouse gases and surface or atmospheric albedo.
Clay, being relatively impermeable to water, is also used where natural seals are needed, such as in the cores of dams, or as a barrier in landfills against toxic seepage ( lining the landfill, preferably in combination with geotextiles ).
Its combination of low raw material cost, relatively simple processing, and a useful temperature range make it currently the best compromise among the various competing materials.
However, due to a combination of relatively poor sensitivity, slower than normal scan rates ( typically 2-3 °/ min-due to much heavier crucible ) and unknonwn activation energy, it is necessary to deduct about 75-100 ° C from the initial start of the observed exotherm to suggest a maximum temperature for the material.
This power capacity, in combination with a high-volume 5-stage steam ejector vacuum-pumping system, enables facility operations to match high-altitude atmospheric flight conditions with samples of relatively large size.
The combination of abundant snow in the Andes and relatively moderate winter temperatures creates excellent conditions for Alpine skiing.
A combination of factors may account for the survival of these relatively large trees, including low levels of blight susceptibility, hypovirulence, and good site conditions.
Because of the combination of relatively light weight, reliability, high potential accuracy and lower cost, they are still the choice of many hunters, target shooters and snipers.
However, due to a combination of relatively poor sensitivity, slower than normal scan rates ( typically 2-3 °/ min-due to much heavier crucible ) and unknown activation energy, it is necessary to deduct about 75-100 ° C from the initial start of the observed exotherm to suggest a maximum temperature for the material.
The race, run on a combination on paved and dirt roads, includes many relatively steep hills and has been described as " the most challenging race in the state ".
Newsprint is favored by publishers and printers for its combination of being relatively low cost ( compared with paper grades used to print such products as glossy magazines or sales brochures ), high strength ( to run through modern high-speed web printing presses ) and the ability to accept four-color printing at qualities that meet the needs of typical newspaper advertisers.
The population is self-segregated into relatively small communities, with a controlled environment, and keeps in contact with the rest of the world through the Fido, a combination television and videophone.
Beryllium copper has found use in ultra-low temperature cryogenic equipment, such as dilution refrigerators, because of its combination of mechanical strength and relatively high thermal conductivity in this temperature range.
Another relatively widespread variation is the Curb ( or kerb ) extension ( also known as a bulb-out ) which narrows the width of the street and is used in combination with crosswalk markings.
The relatively high revenue of U. S. $ 5782 million in 2012 for Apple's App Store compared to competitor's stores can be attributed to a combination of factors.
The combination of clock speed and the relatively large 16 KB write-back L1 cache allowed the 5x86 to equal or slightly exceed an Intel Pentium 75 MHz processor in integer arithmetic performance.

combination and low
Because they often exhibit a combination of high strength and low weight, these alloys became widely used in many forms of industry, including the construction of modern aircraft.
During the intervening period, bmobile has obtained a virtual stranglehold on the cellular telecommunications market in the British Virgin Islands by a combination of low prices and aggressive advertising, as well as significant investment in infrastructure and technology.
Though the combination of both companies ' PC manufacturing capacity initially made it the number one, it soon lost the lead and further market share to Dell which squeezed HP on low end PCs.
The forehead was high in relation to the beak, and the nostril was located low on the middle of the beak and surrounded by skin, a combination of features shared only with pigeons.
Like the larger 74 which was developed at the same time, the new frigates sailed very well and were good fighting vessels due to a combination of long hulls and low upperworks compared to vessels of comparable size and firepower.
Frost crack is a bark defect caused by a combination of low temperatures and heat from the winter sun.
Because of all of the statistical and measurement variations listed above, the Endocrine Society recommends that a diagnosis of hypoglycemia as problem for an individual person be based on the combination of a low glucose level and evidence of adverse effects.
In the past, investments offering exceptional returns or low interest rates, or a combination, led to lowered credit standards which, in turn, created a speculative boom and high debt levels, followed by a crash and financial crisis.
More sophisticated models can be made using a combination of etched sheets of brass and low temperature castings.
In September 2002, researchers at the Los Alamos National Laboratory briefly created the first known nuclear critical mass using neptunium in combination with shells of enriched uranium ( U-235 ), discovering that the critical mass of a bare sphere of neptunium-237 " ranges from kilogram weights in the high fifties to low sixties ," showing that it " is about as good a bomb material as U-235.
Growth was slow ( 3 %) in 2001 due to a combination of factors ( a global recession, a series of bank failures, low coffee prices, and a drought ), and in 2009 the economy actually contracted 1. 5 % in reaction to the 2008 2012 global recession ).
This is likely due to the 968's unique combination of speed and practicality, and low production numbers.
This combination is possible because of a high-efficiency petrol engine, low weight, and low drag.
In combination with a steel to nylon turntable bearing ( with molybdenum disulfide inside for lifelong lubrication ) very low wow, flutter and rumble figures were achieved.
The P51 Mustang was the subject of a 30 minute episode entitled " The Cadillac of the Skies " in reference to its exceptional performance and how it started off as a British purchase as a low level attack fighter into the powerful long range bomber escort that it would eventually become in the Air War in Europe through a combination of being fitted with the Rolls Royce Merlin and the fitting drop tanks that allowed to escort the bombers of the United States 8th Air Force all the way into occupied Europe and back.
Metallurgists of the 19th century were unable to produce the combination of low carbon and high chromium found in most modern stainless steels, and the high-chromium alloys they could produce were too brittle to be practical.
Due to the combination of high life expectancy and low fertility rate, there is a serious aging problem among Shanghai's registered residents: as of 2009 only 8. 3 % of the total were under the age of 14, while 22. 54 % were over 60.
This combination eliminates the need for a separate low pressure hose for the BC ( though the low pressure hose for the combined use must be larger than dedicated BC inflation hoses, because demand on it will be higher if it is used for breathing ).
Escape from the gas giants ( especially Jupiter ) seems well beyond current or near-term foreseeable chemical-rocket technology however, due to the combination of large velocity and high acceleration needed even to achieve low orbit.
Hickey found that 13-15 % of victims had high facilitation, 60-64 % of victims had low facilitation and 23-25 % of victims had a combination of high and low facilitation.

1.815 seconds.