The main resistive force in swimming is due to drag on a swimmer’s body from the water. There are two forms of drag, one is active drag (FD), which is the drag encountered while propelling the body through the water. The other is passive drag or the drag encountered while gliding during a push-off after a turn or after entering the water from the start. These different types of drag are both pr...

This paper investigates the degree of intergenerational transmission of education over a sample of respondents in the National Longitudinal Survey of Youth 1979. Rather than employing instrumental variables procedures to estimate the causal e¤ect of parental education we identify it by exploiting the feature of the educational transmission mechanism that is responsible for its endogeneity. More...

Background Cardiac diffusion weighted imaging (DWI) using a spin echo sequence is challenging because of its high sensitivity to bulk motion. When the displacement or acceleration are constant and coherent but not equal for all spins within a voxel, it will cause signal attenuation due intra voxel de-phasing as an effect of first or second order moment encoding errors. This signal attenuation c...

These notes are to be regarded as a ‘plea for help’. Although I continue to make progress at proofs, the progress is slow. I am out of my usual area of work, and others, more expert in convex geometry matters, may well be able to tell me whether things that I’m trying to prove are true or not, or unknown. My email is [email protected] Assistance with settling the questions associated with ...

We prove bounds for the number of solutions to$$a_1 + \dots a_k = a_1' a_k'$$ over $N$-element sets reals, which are sufficiently convex or near-convex. A near-convex set will be image a with small additive doubling under function many strictly monotone derivatives. show, roughly, that every time terms in equation is doubled, an additional saving $1$ exponent trivial bound $N^{2k-1}$ made, star...

for the first time in the history of logic, afzal al-din al-khunaji has found tautologies and contradictories among the verity and actuality propositions. these have been formalized and investigated in first-order logic and it has been shown that their perpetual truth requires the assumption of ‘the presupposed existence of non-existence.’ in this paper, i investigate the tautologies in second-...