Hydrides of Nd2Ni2In were synthesized. Nd2Ni2In crystallizes in the tetragonal Mo2FeB2 structure type. Hydrogen absorption changes the crystal structure to orthorhombic (space group Pbma) so as to accommodate a higher amount of hydrogen. The unit-cell volume increases by 15.5 % for Nd2Ni2InH4.5 and by 21.6 % for Nd2Ni2InH6. Hydrogenation emphasizes antiferromagnetic coupling, but the Néel tempe...

For ≤ 1, the first expression is always the binding constraint, so for -differential privacy, we can simply set: ′ = √ 8k ln 1/δ′ Compare this to if we wanted pure -differential privacy, in which case we would have had to set ′ = /k. Lets consider what this means for answering k sensitivity 1 queries with the Laplace mechanism. For -differential privacy, we can answer each query by adding noise...

• GEM10P4/CFG-PV4/DWR-30 Coaxial Detector System (Includes detector, cryostat, dewar, preamplifier, and 12-ft. cable pack); typical specifications: 10% relative efficiency, 1.75 keV resolution at 1.332 MeV, 41:1 peak-to-Compton ratio. • 659 0–5 keV Detector Bias Supply • 672 Spectroscopy Amplifier • 480 Pulser • C-24-12 Cables (2 ea.) • C-24-1 Cable • C-29 BNC Tee Connector • 4001A/4002D NIM Bi...

We show how to find series expansions for π of the form π = ∞ n=0 S(n) mn pn a n , where S(n) is some polynomial in n (depending on m, p, a). We prove that there exist such expansions for m = 8k, p = 4k, a = (−4) k , for any k, and give explicit examples for such expansions for small values of m, p and a.

This paper presents some early results from a measurement campaign in the service area of the digital terrestrial television (COFDM-8K system) experimental network of Madrid (Spain). The purpose of this survey has been to determine the degradation suffered by analogue PAL-G signals in presence of co-channel and adjacent channel digital emissions. The result from this study is a curve that estim...

It is proven that if k ≥ 2 is an integer and d is a positive integer such that the product of any two distinct elements of the set {k − 1, k + 1, 16k − 4k, d} increased by 1 is a perfect square, then d = 4k or d = 64k−48k+8k. Together with a recent result of Fujita, this shows that all Diophantine quadruples of the form {k − 1, k + 1, c, d} are regular.

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Let $$\Phi _{n}(q)$$ denote the n-th cyclotomic polynomial in q. Recently, Guo and Schlosser (Constr Approx 53:155–200, 2021) put forward following conjecture: for any odd integer $$n>1$$ , $$\begin{aligned}&\sum _{k=0}^{n-1}[8k-1]\frac{(q^{-1};q^4)_k^6(q^2;q^2)_{2k}}{(q^4;q^4)_k^6(q^{-1};q^2)_{2k}}q^{8k}\\&\quad \equiv {\left\{ \begin{array}{ll}0 \ (\mathrm{{mod}}\ [n]\Phi _n(q)^2), &{}\quad \...