Adjoined function

Ahlrichs who showed that an adjoined function should in general be constructed from two Gaussians. This is a probable reason why the adjoined basis sets of this type are not currently used. 

LE CHI DUNG, et al, HEX120PC - A Multigroup Diffusion Code Adapted on PC for Calculation of Neutron Flux and Adjoin Function Distributions in Two-Dimensional Reactor Configuration, VAEC-A-011, Hanoi (1990)... 

Although the primary function of sealants is to seal, adhesion promoters are often added, which allows them to adhere to the adjoining base materials. It is therefore sometimes difficult to distinguish between an adhesive and a sealant. For example, structural silicone adhesives are used in the building construction industry owing to their sealing, adhesive, elastomeric properties, and their resistance to harsh environmental conditions [67,70,77]. 

To show that this constrained minimization is indeed equivalent to the steady-state formulation, let us adjoin the equality constraints to the objective function to form the Lagrangian function,... 

Although the potentials affecting the rotation about a skeletal bond in a chain molecule such as PE usually depend only on rotations of immediately adjoining bonds, the interdependence of rotational states may be transmitted over greater distances. In the case of PE or of POM the effective range of correlation is only four or five bonds. This is established by calculating a priori probabilities for rotational states of a bond as a function of its location relative to the chain termini and of the total chain length. 

Conformational energies of meso and racemic diads of PS are computed as functions of skeletal bond rotations. Confinement of rotations of the phenyl groups to a small range within which they are nearly perpendicular to the plane defined by the two adjoining skeletal bonds is confirmed. Steric interactions involving the relatively large planar phenyl group virtually preclude"g" conformations. A simple, two-state RIS scheme is applicable with states at 170° and 70° for both meso and racemic dyads. 

Segregated solute concentration profile c(x) across boundary as a function of increasing boundary velocity v (the x axis is perpendicular to the boundary). cXL is the solute concentration in the adjoining crystals, (b) Boundary velocity vs. pressure, P, on boundary as a function of increasing cXL. (c) In v vs. 1/T as a function of increasing cXL. (d) In v vs. In cXL as a function of increasing P. From Cahn [10],... 

Kinetic analysis indicates that renaturation is a two-step process. In the slow step effective contact is made between two complementary regions of DNA originated from separate strands. This rate-limiting step called nucleation is a function of the concentration of complementary strands. Nucleation is followed by a relatively rapid zippering up of adjoining base residues into a duplex structure. The steps involved in denaturation and renaturation are depicted in figure 25.14. 

Vicinal dithol Two sulfhydryl functional groups bonded to adjoining carbons (e.g. HSCH2CH2SH). 

A general approach to the analysis of low amplitude periodic operation based on the so-called Il-criterion is described in Refs. 11. The shape of the optimal control function can be found numerically using an algorithm by Horn and Lin [12]. In Refs. 9 and 13, this technique was extended to the simultaneous optimization of a forcing function shape and cycle period. The technique is based on periodic solution of the original system for state variables coupled with the solution of equations for adjoin variables [Aj, A2,..., A ], These adjoin equations are... 

The electrical impulse for contraction (propagated action potential p.138) originates in pacemaker cells of the sinoatrial node and spreads through the atria, atrioventricular (AV) node, and adjoining parts of the His-Purkinje fiber system to the ventricles (A). Irregularities of heart rhythm can interfere dangerously with cardiac pumping function. 

We conclude that the Pfaffian form (1.11.1) is always integrable since (1.11.5) specifies q as well as R. However, if one were to examine a sum of three terms as XjdXi + X2dx2 + X3dx3 - cIL one would have to adjoin to (1.11.5) the additional relation X3 - q(3R/3x3). It is then no longer clear whether a function q(x1,x2,x3) and a second function R(x1,x2,x3) can be found that satisfy all three X - q(3R/3xi) equations. In fact, we shall now address ourselves precisely to this question. 

Consider, for example, two disjoint events, A and B, defined in terms of adjoining intervals of real numbers, as shown in Figure 5a. Due to the effect of measurement errors, observations at the sharp boundary between events A and B are totally meaningless and should be completely discounted. Moreover, observations in the close neighborhood of this boundary (within the reach of measurement errors) are not fully credible and should be discounted according to some discount-rate function, as illustrated in Fig. 5a. When the same measurements are taken for the union A JB, as shown in Fig. 5b, the discount-rate function is not applicable. Hence, the same observations produce more evidence for the single event A JB than for the two disjoint events A and B. The evidential support for y4 U B is thus not equal to the sum of the evidential supports for A and B. That is, the additivity requirement of probability measures is violated the correct measure is in this case superadditive. Alternatively, an appropriate granulation can be used to define probabilities on fuzzy events. ... 

Neurotransmitters are chemical agents secreted at the end of axons of nerve cells that diffuse across the synaptic gap and transmit information to adjoining cells such as neurons, muscle cells, and glands, by altering their electrical state or activity. There are many neurotransmitters with a variety of structures and functions two of the principle ones are acetylcholine and norepinephrine. Since the neurotransmitters convey information, anything that affects their behavior affects the function of the organism. 

We conclude that the Pfaffian form (9.2.1) is always integrable since Eq. (9.2.5) represents a set of simultaneous relations that may be solved for q and R. However, this scheme fails if a function of three or more variables, such as dL = X dx + X2dx2 + X idx i were to be examined. One would then have to adjoin to (9.2.5) the additional relation X3 = q(dR/dx2)dx. It is no longer clear whether this is possible in fact, we now address precisely this question. 

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