Because Bessel's equation becomes Hermitian ( self-adjoint ) if it is divided by x, the solutions must satisfy an orthogonality relationship for appropriate boundary conditions.

Because of sociopolitical and cultural differences, there are various descriptions of Europe's boundary.

Because such waves conserve the amount of energy they transmit through any spherical boundary surface drawn around their source, and because such surfaces have an area that is defined by the square of the distance from the source, the power of EM radiation always varies according to an inverse-square law.

Because the western boundary was contested at the time of the Purchase, President Jefferson immediately began to organize three missions to explore and map the new territory.

Because the territorial boundary line between the U. S. and Canada ran through the middle of Lake Erie and then up the Detroit River, combined with the prevailing belief regarding the location of the southern tip of Lake Michigan, the framers of the 1802 Ohio Constitution believed it was the intent of Congress that Ohio's northern boundary should certainly be north of the mouth of the Maumee River, and possibly even of the Detroit River.

Because Ann Arbor and Central Campus developed simultaneously, there is no distinct boundary between the city and university, and some areas contain a mixture of private and university buildings.

Because of conservation of potential vorticity caused by the poleward-moving winds on the subtropical ridge's western periphery and the increased relative vorticity of poleward moving water, transport is balanced by a narrow, accelerating poleward current, which flows along the western boundary of the ocean basin, outweighing the effects of friction with the cold western boundary current which originates from high latitudes.

Because of the dispersed, low-density nature of the medieval Khmer settlement pattern, Angkor lacks a formal boundary, and its extent is therefore difficult to determine.

Because it is shaped roughly like a diamond or rhombus with its point matching the cardinal points of the compass, it's boundary lines are roughly oriented along the ordinal or intercardinal directions.

Because of its location on the boundary between the Appalachian Highland and the Gulf Coastal Plain, the geography of the area around Tuscaloosa is diverse, varying from heavily forested hills to the northeast to a low-lying, marshy plain to the southwest.

Because of where its eastern boundary lies, it is also the easternmost municipality in the South Florida metropolitan area.

Because putting them at their original site would have placed them in an area which possessed low visibility, it was decided to install them on the southern boundary of the parade ground instead.

Because it is on the boundary of Taurus and Auriga, it also has the redundant Bayer designation Gamma Aurigae ( γ Aur ), which today is rarely used.

Because Bear Island lies on a boundary between cold water of polar origin and warmer Atlantic water, water temperatures within a few dozen nautical miles of the island are quite variable, sometimes reaching 10 ° C ( 50 ° F ) in summer.

Because of the way detonation breaks down the boundary layer of protective gas surrounding components in the cylinder, such as the spark plug electrode, these components can start to get very hot over sustained periods of detonation and glow.

Because most electronic dance music tracks have 4 / 4 time signature and a simple structure of 16-bar phrases, to align the phrases of two tracks it is often enough to start the track to be mixed in at a phrase boundary in the track currently playing.

Because of this, rocks closest to a boundary are younger than rocks further away on the same plate.

Because Yesler Way marks the boundary between two different plats, the street grid north of Yesler does not line up with the neighborhood's other streets ( nor with the compass ), so the northern " border " of the district zigzags along numerous streets.

Because the conformal infinity of AdS is timelike, specifying the initial data on a spacelike hypersurface would not determine the future evolution uniquely ( i. e. deterministically ) unless there are boundary conditions associated with the conformal infinity.

Because the Rio Grande serves as an international boundary, the park faces unusual constraints while administering and enforcing park rules, regulations, and policies.

Because the light must strike the boundary with an angle greater than the critical angle, only light that enters the fiber within a certain range of angles will be propagated.

Because of that, a boundary dispute arose which moved Pateros to request a dialogue about that with then Municipal Council of Makati in 1990.

Because there is little material transport across the core-mantle boundary, heat transfer must occur by conduction, with adiabatic gradients above and below this boundary.

Because of the difference between daytime and nighttime propagation conditions, it has been necessary to evolve different allocation structures for daytime and nighttime broadcasting in the AM band, with many more stations operating during the day than at night.

Because of the simplicity of the molecules, isotopic exchange reactions between elemental halogens and the corresponding carbon tetrahalides would appear to offer particularly fruitful possibilities for obtaining unambiguous basic kinetic data.

Because of weak bonding between the layers, gray arsenic is brittle and has a relatively low Mohs hardness of 3. 5.

Because temperature is defined by the relationship between energy and entropy, such a system's temperature becomes negative, even though energy is being added.

According to Capp, who loved to relate the story, Kelly's two perfectly logical reasons for doing so were: a. to cement diplomatic relations between Argentina and the United States, and b. " Because you can't play the piano, anyway!

Because the differences between the prices are likely to be small ( and not to last very long ), this can be done profitably only with computers examining a large number of prices and automatically exercising a trade when the prices are far enough out of balance.

Because of the development of themes in the book of Malachi, most scholars assign it to a position between Haggai and Zechariah, slightly before Nehemiah came to Jerusalem in 445 BCE.

Because of the country's geography and long distances between major cities, aviation is also important.

Because the term " humanure " has no authoritative definition it is subject to misuse ; news reporters occasionally fail to correctly distinguish between humanure and " sewer sludge " or " biosolids ".

Because of the absence of scheduled sea transport between the islands, nearly all interisland passenger traffic is by air.

Because these wildlife trading fees often represent a significant source of these CITES offices ' operational budgets, the structure of CITES creates a direct conflict of interest between these offices and the resources they manage.

Because some materials have both useful mineral content and recoverable calorific value, the distinction between alternative fuels and raw materials is not always clear.

Because of the rivalry between Chiang and Li, Chiang refused to allow Nationalist troops loyal to him to aid in the defense of Guangxi and Guangdong, with the result that Communist forces occupied Guangdong in October 1949.

Because of the stylistic similarities between comic strips and early animated movies, " cartoon " came to refer to animation, and the word " cartoon " is currently used to refer to both animated cartoons and gag cartoons.

Because of this intimate contact between the player's hand and the production of sound, the clavichord has been referred to as the most intimate of keyboard instruments.

Because the strength of the force falls off rapidly with distance, it is only measurable when the distance between the objects is extremely small.

Because the methods are independent, when one of several methods is in error, it is very unlikely to be in error in the same way as any of the other methods, and a difference between the measurements will be observed.

Because the relational model emphasizes search rather than navigation, it does not make relationships between different entities explicit in the form of pointers, but represents them rather using primary keys and foreign keys.

Because these paired books had to fit a fixed total page length, one or both were usually abridged to fit, and Wollheim often made other editorial alterations — as witness the differences between Poul Anderson's Ace novel War of the Wing-Men and its definitive revised edition, The Man Who Counts.

Because of the linguistic, ethnic, and cultural differences between Yupik and Inuit peoples there is uncertainty as to the acceptance of any term encompassing all Yupik and Inuit people.

Because field hockey teams have one goalkeeper plus ten outfield players as does association football ( soccer ), there are many common formations between the two sports.

Because they see it as a way of elevating themselves from girlhood to womanhood, and thereby a way of differentiating between each other, Thomas argues that to remove FGM is to remove that opportunity to gain authority.

Because Finland was a country with relatively small towns with a small workforce, and many industrial centers were small " islands " surrounded by large rural areas, there was social integrity between the urban and rural workers.

Because of the large influx of fresh water from rivers, especially from the Neva River ( two thirds of the total runoff ), the gulf water has very low salinity – between 0. 2 and 5. 8 ‰ at the surface and 0. 3 – 8. 5 ‰ near the bottom.

Because it is warm, the surface radiates far IR thermal radiation that consists of wavelengths that are predominantly much longer than the wavelengths that were absorbed ( the overlap between the incident solar spectrum and the terrestrial thermal spectrum is small enough to be neglected for most purposes ).