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Both x and f ( x ) are vector quantities, and they can be very large collections of values, often indexed by space, or by time, or by both space and time.
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Both and x
Both J < sub > α </ sub >( x ) and Y < sub > α </ sub >( x ) are holomorphic functions of x on the complex plane cut along the negative real axis.
Both Legendre's and Dirichlet's's formulas imply the same conjectured asymptotic equivalence of π ( x ) and x / ln ( x ) stated above, although it turned out that Dirichlet's approximation is considerably better if one considers the differences instead of quotients.
Both x and c are column vectors with n elements ( n × 1 matrices ), and Q is a symmetric n × n matrix.
Both Fredholm and Volterra equations are linear integral equations, due to the linear behaviour of φ ( x ) under the integral.
* Both MA and AM remain unchanged if their definitions are changed to require perfect completeness, which means that Arthur accepts with probability 1 ( instead of 2 / 3 ) when x is in the language.
Both of these sequences converge to the same number, which we call the geometric – harmonic mean M ( x, y ) of x and y.
Suppose for simplicity that a certain system is characterized by two variables-a dependent variable x and an independent variable t, where x is a function of t. Both x and t represent quantities with units.
Both sexes excavate the nests, which are about 45 cm deep, 13 x 18 cm wide, and have an entrance about 9 cm in diameter.
Both his biblical commentary, the Hexaemeron ( 1230 x 35 ), and his scientific On Light ( 1235 x 40 ), took their inspiration from Genesis 1: 3, " God said, let there be light ", and described the subsequent process of creation as a natural physical process arising from the generative power of an expanding ( and contracting ) sphere of light.
Both Fragaria and Comarum have at different times been considered to be part of the genus Potentilla, and these hybrids have been named Potentilla x rosea, or are sometimes referred to as Fragaria × Potentilla hybrids.
Both and f
Both pertain to autonome a. f. r. i. k. a gruppe, which includes many people involved in communication guerrillas such as activists and non-artists living in different German peripheries.
Both are Trumpler class I 3 r clusters, though NGC 869 is a Shapley class f and NGC 884 is a Shapley class e cluster.
Both the species C. japonicum and the weeping form C. japonicum f. pendulum have gained the Royal Horticultural Society's Award of Garden Merit.
Both sides of the partial differential equation can be expanded as formal power series and give recurrence relations for the coefficients of the formal power series for f that uniquely determine the coefficients.
Both lenses are mounted in a Copal 3 shutter, and the longer lens is also available in a barrel mount with Waterhouse stops, if the faster f / 14 version is desired.
Both and are
Both I and my feelings come up out of a chain of events that fan out into the past into sources that are ultimately very unlike the entity which I now am.
Both allowances are governed by conditions and restrictions set forth in detail in the state's Travel Regulations.
Both of these systems are essential for the production, development, and use of the National Forests.
Both the photocathode and the image plane of such an electrode configuration are curved concave as seen from the anode aperture.
Both man and wife should be aware of the fact that a lack of climax, and even the absence of the anticipated keen pleasure are not a sign that the wife may be cold or frigid.
Both are primarily concerned with the uses that can be made of the material that the collector has found.
Both Miss Garson and her oilman-rancher husband are active supporters of Boys Clubs of America and patrons of the vivid art and opera colony that flourishes in New Mexico.
Both are 6 feet tall and weigh between 195 and 200 pounds, but Mantle, incredibly muscular ( he has a 17-1/2-inch neck ), looks bigger.
Both these types, and those in between, are in existence by reason of a legislative interest in libraries that began at Albany as early as 1950, with the creation by the legislature of county library systems financed by county governments with matching funds from the state.
Both are members of the Organization of the Petroleum Exporting Countries, the African Union and other multilateral organizations.
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