Suppose u is the solution of the initial value problem utt −∆xu = 0, (x, t) ∈ R × [0,∞); u(x, t=0) = f(x), ut(x, t=0) = g(x), x ∈ R. Suppose n ≥ 1 is odd, f and g are supported in a ball B with boundary S, and one of f or g is zero. We derive identities relating the norm of f or g to the norm of the trace of u on S× [0,∞). These identities are derived using integral geometric and multiplier met...

Let Σg,r be a compact oriented surface of genus g with r boundary components. We determine the abelianization of the symmetric mapping class group M̂(g,r)(p2) of a double unbranched cover p2 : Σ2g−1,2r → Σg,r using the Riemann constant, Schottky theta constant, and the theta multiplier. We also give lower bounds of the abelianizations of some finite index subgroups of the mapping class group.

we observe that the transform, with respect to any operator of 6r, of the commutators formed with t and the operators of G is the product of two such commutators. All of these commutators must, therefore, form a group which is transformed into itself by G. When t transforms G into itself the given commutators generate the smallest self-conjugate subgroup of G which has the property that all of ...

This paper presents a high speed binary floating point multiplier based on Hybrid Method. To improve speed multiplication of mantissa is done using Hybrid method replacing existing multipliers like Carry Save Multiplier, Dadda Multiplier and Modified Booth Multiplier. Hybrid method is a combination of Dadda Multiplier and Modified Radix-8 Booth Multiplier. The design achieves high speed with ma...

In this paper we proposed a three stage pipelined finite-impulse response (FIR) filter, this FIR filter contains multipliers such as Hybrid multiplier, Booth multiplier algorithm and Array multiplier. In general, multiplication process consists of two parts as multiplicand and multiplier. According to the array multiplier, the numbers of partial products (PP) are equal to the number of bits in ...

When implementing a nonlinear constraint in quantum field theory by means of Lagrange multiplier, $\ensuremath{\lambda}(x)$, it is often the case that dynamics induce quadratic and even higher-order terms which then does not enforce anymore. This illustrated unimodular gravity, where metric tensor has to be ($g(x)\ensuremath{\equiv}\mathrm{det}\text{ }{g}_{\ensuremath{\mu}\ensuremath{\nu}}(x)=\...

Multipliers of reproducing kernel Hilbert spaces can be characterized in terms positivity $n \times n$ matrices analogous to the classical Pick matrix. We study for which it suffices consider bounded size $n$. connect this problem notion subhomogeneity non-selfadjoint operator algebras. Our main results show that multiplier algebras many analytic functions, such as Dirichlet space and Drury-Arv...

An efficient Lookup Table (LUT) design for memory-based multiplier is proposed.  This multiplier can be preferred in DSP computation where one of the inputs, which is filter coefficient to the multiplier, is fixed. In this design, all possible product terms of input multiplicand with the fixed coefficient are stored directly in memory. In contrast to an earlier proposition Odd Multiple Storage ...

Adders and multipliers are two main units of the computer arithmetic processors and play an important role in reversible computations. The binary multiplier consists of two main parts, the partial products generation circuit (PPGC) and the reversible parallel adders (RPA). This paper introduces a novel reversible 4×4 multiplier circuit that is based on an advanced PPGC with Peres gates only. Ag...

On compact manifolds (M, g) without boundary of dimension n ≥ 2, the gradient estimates for unit band spectral projection operators χλ is proved for any second order elliptic differential operators L by maximum principle. A new proof of Hörmander Multiplier Theorem on the eigenfunction expansion of the operator L is given in this setting by using the gradient estimates and the Calderón-Zygmund ...