We prove that affine configurations of 4 lines in R3 are topologically and combinatorially homeomorphic to affine configurations of 6 points in R4.

Quadratic theory of gravity is a complicated constraint system. We investigate some consequences of treating quadratic terms perturbatively (higher derivative version of backre-action effects), which is consistent with the way existence of quadratic terms was originally established (radiative loop effects and renormalization procedures which induced quadratic terms). We show that this approach ...

Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of annihilator of local cohomology modules H^t_I(M), t≥0, under the ring extension R⊂R[X] (resp. R⊂R[[X]]). By using this extension we will present some of the faithfulness conditions of local cohomology modules, and show that if the Lynch's conjecture, i...

In this paper, generalized R ′ -implications are introduced and studied. Although they not always fuzzy implications, the sufficient necessary condition such that a id="M2"> -operation is implication discovered proved. The satisfaction or violation of some basic...

We analyzed the effect of changing posture from supine to standing on the variability of R-R, P-R, and R-T intervals in 10 healthy volunteers using power spectral analysis. An electrocardiogram and respiratory trace were recorded before and after posture change. Variability in the P-R and R-T intervals was much less than in the R-R interval and demonstrated a lower low-frequency (LF)-to-high-fr...