This is equivalent to reversing the correlation matrix used in traditional 'R-factor analysis', which is based on correlations between variables characterizing respondents.
It follows that whereas the SHG-CD effect is described by Equation 4, the non-reciprocal behavior arises from: (5) Since Equations 4 and 5 are mathematically identical, it follows that, for SHG, flipping a chiral sample is equivalent to reversing the handedness of the material or that of the incident light.
(ii) For (0< p<1), or (p<0), by the same way, we have the reverse of (22) equivalent to the reverse of (19).
Hence we have the reverse of (12), which is equivalent to the reverse of (11).
By the reverse of (25) it follows that the reverses of (31) and (32) are valid, and then the reverse of (26) follows, which is equivalent to the reverse of (25).
(4.5) Inequality (4.5) is equivalent to the reverse form of (1.2) if we set γ = p − λ − p q A 1 p under the condition p A 2 + q A 1 = 2 − λ. 2.
The orthologous relationships between the analyzed genomes served to identify a total of 38 different ancestral syntenic segments which are indicated by a colour code in Figure 2. The ideograms in Figure 1 and Additional file 1 are equivalent to a reverse chromosome painting dataset of the six analyzed species onto human chromosomes at high resolution.
Aliquots of large RNA equivalent to 1μg were reverse transcribed using SuperScript™ III reverse transcriptase (200U/μl, Invitrogen, Calsbad, CA, USA) and random nanomer primers.
This helical model is equivalent to a reverse-handed, single helix with half the period and defined by the selection rule l = −3n + 7m (where l is any integer).
Real-time PCR (RT-PCR) amplification was carried out using 0.010 mL amplification mixtures containing Power SYBR Green PCR Master Mix (Applied Biosystems, Foster City, CA USA), equivalent to 8 ng of reverse-transcribed RNA and 300 nM primers.
