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Clifford analysis is an important branch of modern analysis, which studies functions defined on (R^{n}) with their values in Clifford algebra space ({mathcal {A}}_{n}(R)).
It studies functions defined on domains in (mathbb{R}^{3}) or (mathbb{R}^{4}) with values in the skew field of real quaternions ℍ.
Quaternionic analysis studies functions defined on (mathbb{R}^{4}) with their values in quaternion algebra space ℍ, which is a four-dimensional vector space with basis e, i, j, k.
Located in Seoul, Korea one of the world's largest cities, with nearly half of the country's population residing in the capital area Mass Studies functions within the unique setting of rapid urban and cultural development where "new" is constant, yet always transforming.
Health insurance information, a potentially rich source of information for epidemiologic studies, functions poorly in this regard because most farmworkers lack health insurance.
All calculus studies functions to see how they change, using functions to map real-world relationships.
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"On a lot of campuses, African- American studies functioned more as an affirmative-action program than an intellectual exercise," says Rooks.
Most genome-wide siRNA libraries designed to study functions of individual genes are highly underrepresented in G and C to increase RNAi specificity25 (Supplementary Fig. 3b, left panel).
Studying periodic functions on ({mathbb R}^d) is equivalent to studying functions on the d-dimensional torus ({mathbb T}^d).
Dr. Ren is well known for using cutting edge technology and tools for studying functions of the non-coding genome.
In this paper we study functions on which possess the generalized partial derivatives (1.1).
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