Conditional expression

It is important to stress that it is the imposition of boundary conditions, expressing the fact that the electron is spatially constrained, that gives rise to quantized energies. In the absence of spatial confinement, or with confinement only at x =0 or Lx or only at y =0 or Ey, quantized energies would not be realized. 

JSlonrepeatability the maximum difference in scale readings when the same test load is appHed repeatedly under the same conditions, expressed as a percentage of scale capacity... 

Jump conditions Expressions for conservation of mass, momentum, and energy across a steady wave or shock discontinuity ((2. l)-(2.3)). Also known as the conservation equations or the Rankine-Hugoniot relations. 

Efficiency, dust spot The capability of a filter to remove the staining portion of atmospheric dust from a gas under set test conditions, expressed as a percentage. 

Dissolved Gas. Gas which enters the borehole when penetrating a high pressure zone may not dissolve immediately in the mud. The free gas considered here is the gas entering the borehole minus the dissolved gas. Table 4-128 indicates the maximum volume of dissolved gas at bottomhole conditions expressed in percent of annulus mud volume. Thus, when entering a high pressure permeable formation this much gas will dissolve first before free gas appears in the mud. 

Matskevich AA, Cordelier P, Strayer DS (2003) Conditional expression of IFN-alpha and IFN-gamma activated by HBV as genetic therapy for hepatitis B, J Interferon Cytokine Res 23 709-721... 

We believe this work can be extended in several directions. First, we have shown how to acquire the dominance condition expressed in first-... 

The two conditions stated above do not assure the occurrence of gelation. The final and sufficient condition may be expressed in several ways not unrelated to one another. First, let structural elements be defined in an appropriate manner. These elements may consist of primary molecules or of chains as defined above or they may consist of the structural units themselves. The necessary and sufficient condition for infinite network formation may then be stated as follows The expected number of elements united to a given element selected at random must exceed two. Stated alternatively in a manner which recalls the method used in deriving the critical conditions expressed by Eqs. (7) and (11), the expected number of additional connections for an element known to be joined to a previously established sequence of elements must exceed unity. However the condition is stated, the issue is decided by the frequency of occurrence and functionality of branching units (i.e., units which are joined to more than two other units) in the system, on the one hand, as against terminal chain units (joined to only one unit), on the other. 

Regime Conditions Expression for absorption rate or enhancement coefficient... 

Pyo R, Jensen KK, Wiekowski MT, et al. Inhibition of intimal hyperplasia in transgenic mice conditionally expressing the chemokine-binding protein M3. Am J Pathol 2004 164 2289-2297. 

This condition expresses the fact that reaction (5.2.39) determines the rate of the overall process. On neglecting a>1 in the denominator of Eq. (5.2.43), substitution of... 

This condition expresses the fact that the two solutions are under different pressures, px and p2, as a result of their, in general, different osmotic pressures. An analogous equation cannot be written for the non-diffusible ion as it cannot pass through the membrane and the equilibrium concentrations cannot be established. 

We wish to see that for any choice of X = a and Y = b each path verification condition in W(P,A,B,I) holds. That is, we must examine each V(P,a,At r,I)(a,b) where o is a consistent path from tagged point t to tagged point r not passing through any other tagged point en route from t to r. If the hypothesis of the conditional expression V(P,a,A, A r,I)(a,b) is false, then the verification condition is vacuously true. If it is true, then A (a,b) is true and by definition of Aj, A(a) is true and computation (P,I,a) at some point enters tagged point t with Y = b. Further a is the continuation of this computation and reaches r with Y = b. So there is certainly a time when computation (P,I,a) reaches r with this specification of Y. Now if r is not a STOP statement, inductive assertion was assigned by our definition and thus Ar(a,b ) holds by definition. 

For this case Equation 5-9 reduces to Equation 5-17 with the initial condition expressed by Equation 5-18 and the boundary condition expressed by Equation 5-13. The solution is found by integrating the instantaneous solution (Equation 5-19 or 5-20) with respect to time. The result in spherical coordinates2 is... 

Equation 5-23 is solved together with boundary conditions expressed by Equations 5-12 and 5-13. The solution for the average concentration at any point3 is... 

Relations (fl)-(g) define the MINLP problem. It is important to note that the relations between the binary and continuous variables in Equation (/) are linear. It is possible to impose the desired relations nonlinearly. For example, one could replace Cl by Cl 71 everywhere Cl appears. Then if 71 = 0, Cl does not appear, and if 71 = 1, Cl does appear. Alternatively, one could replace Cl by the conditional expression (if 71 = 1 then Cl else 0). Both these alternatives create nonlinear models that are very difficult to solve and should be avoided if possible. 

For sequences of statements separated by a semicolon ( ), it is useful to write assertions (conditional expressions that should always be true) within the sequence. This helps you see how the requirements are built up with each statement and can be a useful debug tool if the expressions are actually executed. The assert macro provided with C++ has parallels in other languages. 

Specific heat. The quantity of heat required to raise the temperature of a material by one degree per unit weight at standard conditions. Expressed as Btu/lb/°F or caI/g/°C. 

These equations can be solved simultaneously with Equations (4.33)-(4.35) to obtain values of pe, pH, [O2] and [Fe +] over the course of reduction. Eigure 4.7 shows results for realistic flooded soil conditions, expressed in terms of the amounts of CH2O oxidized in the different reactions. Eigure 4.7(a) gives results in the absence of pH and cation buffering by the soil Eigure 4.7(b)-(d) gives results for different values of hs. CEC and [X Jl. 

This condition expresses that the mass flux has to preserve the potential energy. The simplest way to account for this is to add to Tick s law another gradient term representing the tendency for the stars to drift to a deeper potential, a bit like in Einstein-Smolukowski law of diffusion in an external potential. This involves adding to Tick s law a contribution proportional to the gradient of the energy density. This changes Eq. (9) into... 

Fig. 12.14 Kerosene retention capacity (KRC) as affected by soil type and soil moisture conditions, expressed as volume of kerosene per bulk volume of air-dry soil. Reprinted from Jarsjo J, Destouni G, Yaron B (1994) Retention and volatilization of kerosene laboratory experiments on glacial and postglacial soils. J Contam Hydrol 17 167-185. Copyright 1994 with permission of Elsevier...

Jackson EL, Willis N, Mercer K et al (2001) Analysis of lung tumor initiation and progression using conditional expression of oncogenic K-ras. Genes Dev 15 3243-3248... 

The plasmid expressing Tet repressor (pcDNA6/TR) has a blas-ticidin-resistance cassette, while the plasmid used for the shRNA conditional expression (pSuperior) confers resistance to puromycin. Therefore, before starting the procedures, these two antibiotics need to be titrated on the selected cell line to find out the minimum inhibitory concentration necessary to kill completely untransfected cells. 

We further proceed, as previously, by building a one-electron wave function from the associated atomic orbitals, Eq. (1.14), but imposing the Bloch condition expressed in Eq. (1.25). This is the well-known TB approximahon (Ashcroft Mermin, 1976). The resulting wave funchon is often called the crystal orbital and has the form ... 

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