There was an elegant expression for the volume of hypercube [0, 1] clipped by a hyperplane. We generalize the formula to the case of more than one hyperplane. Furthermore we derive several combinatorial identities from the volume expressions of clipped hypercubes.

BACKGROUND AND PURPOSE After aneurysmal subarachnoid hemorrhage (SAH), patients with clipped aneurysms have a higher incidence of neurocognitive deficits and seizures compared with patients with coiled aneurysms. It remains unknown if patients with clipped aneurysms also have a higher incidence of other in-hospital complications. METHODS We used data from the Registry of the Canadian Stroke N...

Clipping is the process of transforming a real valued series into a sequence of bits representing whether 10 each data is above or below the average. In this paper we argue that clipping is a useful and flexible transformation 11 for the exploratory analysis of large time dependent data sets. We demonstrate how time series stored as bits 12 can be very efficiently compressed and manipulated and...

An experiment was carried out to know the effect of shoot clipping on floral morphology and seed yield in two Indigofera spp. viz. I. tinctoria L. and I. suffruticosa Mill. All parts of shoot including the main stem were clipped at 60 cm height from the base at 120 days after sowing (DAS). At 120 DAS, I. tinctoria already exhibited 1 flowering while I. suffruticosa showed no flowering. Shoot cl...

This paper presents a simulation-based study of the performance achievable by a continuously variable electro-hydraulic semi-active suspension system. By applying state-of-the-art dynamic optimization techniques, a direct optimal controller is developed for a nonlinear quarter car model that includes an identified semi-physical damper model. The direct optimal control approach offers an intuiti...

OFDM combined with TDM (OFDM/TDM) can be used to reduce a high peak-to-average power ratio (PAPR) of OFDM, but the PAPR reduction is not sufficient. To further reduce the PAPR, an amplitude clipping can be applied. In this letter, we investigate the effect of clipping on OFDM/TDM with and without channel coding. It is shown that amplitude clipped OFDM/TDM has an advantage over clipped OFDM with...

An economical B-channel sample-and-hold unit, serially addressable with multiplexed output, is described.-The unit accepts clipped inputs of 5 nsec (nominal) FWHM; the positive overshoot of the clipped pulse is rejected. The outputs are held to + 1 mV for 2 1 msec, and are linear to * 1% from 30 mV to 1 V. The output sensitivity is 10 mV per picocoulomb of input charge.