The “iu” superscript indicates that the function depends on both the infrared and ultraviolet regularisation scales. Functions of the following type arise in SCI bound-state equations: n!C¯niu(σ)=Γ(n−1,στuv2)−Γ(n−1,στir2), (A.8) Cniu(σ)=σC¯niu(σ), n∈...
Complementary DNA was synthesized using the SuperScript VILO cDNA synthesis kit (Invitrogen, no. 11754). RNA was reverse transcribed and amplified with the Ovation PicoSL WTA System V2 kit (NuGEN, no. 331248). Microarray analysis For gene profiling of flow-sorted FVFlow, FVFhigh and FVFneg ...
Note here that the superscript equals the number of derivatives that are continuous, so the order of continuity is sometimes described as “the number of derivatives that must match.” This is a simple way to look at the order of continuity, but care must be taken if you use that ...
In diverse areas of physics and engineering, structural constraints on system dynamics can be understood via the system’s eigenmodes, which are fundamental spatial patterns corresponding to the natural, resonant modes of the system12. In the linear regime, such as brain activity under normal (that...
the number in superscript after the name of function indi- cates number of its iterate, and never indicates argument of exponentiation to apply after the evaluation of function; if exponentiation, the argument is written as a superscript after the end of specification of the base of the ex- po...
In the Wolfram Language, inverse functions are represented using InverseFunction[f]. As noted by Feynman (1997), the notation is unfortunate because it conflicts with the common interpretation of a superscripted quantity as indicating a power, i.e., . It is therefore important to keep in ...
And we use a superscript (0) in the denotation of matrix multipli- cation to indicate that the omitted Q matrix is Q0, such as ( A B)(0) ≡ A Q −1 0 B, and ( A B)((0a);b) ≡ A(b)(Q0(a;b))−1 B(a). The determinant of a matrix A is denoted as |A|. 2...
Using this seminorm, in case of S = U we shall omit the superscript in the notation. Now, following Narasimhan [29, 1.5.1], we introduce a purely technical term. We say that a function f∈ C∞ (U) is m-flat at a point p∈ U if Dαf(p) = 0, whenever |α| 5 m. We ...
The superscript 0 represents the initial condition, Q and Λ are the heat source and its domain, H(τ) is the Heaviside function, the Green's function G(r,τ) is also called the fundamental solution due to an impulse heat source at x′ and time t′, T(r,τ) is the derivative of...
After washing with 0.1× SSC + RI, Reverse transcription was performed with SuperScript II (Invitrogen, 18064014, 10 U/μL reverse transcriptase, 1 mM dNTPs, 1 M betaine solution PCR reagent, 7.5 mM MgCl2, 5 mM DTT, 2 U/μL RNase inhibitor, 2.5 μM Stereo-TSO and 1...