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It is one of the standard suite of experiments used for the determination of the solution structure of protein. The HSQC can be further expanded into three- and four dimensional NMR experiments, such as 15 N-TOCSY-HSQC and 15 N-NOESY-HSQC. [5] Schematic of an HNCA and HNCOCA for four sequential residues.
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional Euclidean space, . [1] The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration.
IUPAC definition for a crosslink in polymer chemistry In chemistry and biology , a cross-link is a bond or a short sequence of bonds that links one polymer chain to another. These links may take the form of covalent bonds or ionic bonds and the polymers can be either synthetic polymers or natural polymers (such as proteins ).
In either case, one needs to choose the three lattice vectors a 1, a 2, and a 3 that define the unit cell (note that the conventional unit cell may be larger than the primitive cell of the Bravais lattice, as the examples below illustrate). Given these, the three primitive reciprocal lattice vectors are also determined (denoted b 1, b 2, and b 3).
In the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. [9] [10] It is typically formulated as the product of a unit of measurement and a vector numerical value (), often a Euclidean vector with magnitude and direction.
Given a differentiable manifold, a vector field on is an assignment of a tangent vector to each point in . [2] More precisely, a vector field F {\displaystyle F} is a mapping from M {\displaystyle M} into the tangent bundle T M {\displaystyle TM} so that p ∘ F {\displaystyle p\circ F} is the identity mapping where p {\displaystyle p} denotes ...
If V is a vector space over a field K, a subset W of V is a linear subspace of V if it is a vector space over K for the operations of V.Equivalently, a linear subspace of V is a nonempty subset W such that, whenever w 1, w 2 are elements of W and α, β are elements of K, it follows that αw 1 + βw 2 is in W.
The basic core and log measurement is the T 2 decay, presented as a distribution of T 2 amplitudes versus time at each sample depth, typically from 0.3 ms to 3 s. The T 2 decay is further processed to give the total pore volume (the total porosity) and pore volumes within different ranges of T 2. The most common volumes are the bound fluid and ...