As far as algorithmic thinking is bound by symbolic paper-and-pencil operations, the Church-Turing thesis appears to hold. But is physics, and even more so, is the human mind, bound by symbolic paper-and-pencil operations? What about the powers of the continuum, the quantum, and what about human intuition, human thought? These questions still remain unanswered. With the strong Artificial Intell...

This paper presents an asymptotical analysis of the MUSIC and Pencil-MUSIC methods for estimating 2-D angles and polarizations using crossed dipoles. The explicit first order expressions for the variances of the MUSIC and Pencil-MUSIC estimates are derived. Both the theoretical and simulation results are used to analyze and compare the performances of the MUSIC and Pencil-MUSIC methods. A numbe...

In this paper, we give a numerically reliable algorithm to compute the zeros of a periodic descriptor system. The algorithm is a variant of the staircase algorithm applied to the system pencil of an equivalent lifted time-invariant state-space system and extracts a low-order pencil which contains the zeros (both 6nite and in6nite) as well as the Kronecker structure of the periodic descriptor sy...

The rational QZ method generalizes the by implicitly supporting subspace iteration. In this paper we extend introducing shifts and poles of higher multiplicity in Hessenberg pencil, which is a pencil consisting two matrices. result multishift, multipole iteration on block pencils allows one to stick real arithmetic for input pencil. combination with optimally packed aggressive early deflation a...

With smart devices being an essential part of our everyday lives, unsupervised access to the mobile sensors' data can result in a multitude side-channel attacks. In this paper, we study potential leaks from Apple Pencil (2nd generation) supported by iPad Pro, latest stylus pen which attaches body magnetically for charging. We observe that Pencil's affects magnetic readings sensed iPad's magneto...

where j is √ 01, K is the number of frequency comFernández del RıB o, J. E., and Sarkar, T. K., Comparison ponents, and Am is the complex amplitude at frebetween the Matrix Pencil Method and the Fourier Transquency fm . form Technique for High-Resolution Spectral Estimation, The time function is sampled at N equispaced Digital Signal Processing 6 (1996), 108–125. points, Dt apart. Hence (2.1) r...

We are reporting a female case of semantic dementia. Characteristic of this type of dementia, she could not recognize some objects such as a pencil, a ruler or her dominant hand. When shown a pencil, she would ask “What is a pencil?” Her brain MRI showed atrophy of bilateral temporal lobes, especially anterior poles. SPECT also showed abnormally decreased blood flow in temporal lobes and fronta...

Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate s...

A 14-year-old male patient had an ocular trauma with a pencil. Biomicroscopic examination revealed a broken part of pencil into the cornea. Foreign body removal and corneal wound closure were performed in the same day. After corneal repair, there was a grade 4+ anterior chamber reaction just like in preoperative examination. Dilated examination showed a very small piece broken tip of pencil on ...

Some recent works address the problem of blind source separation with a matrix pencil. In this paper we show that the covariance matrices of the pencil can be computed at the output of a simple linear filter instead of using time-delayed covariance matrices. It is also shown, using block matrix manipulation, that the method might applied when the number of source signals is not equal to the num...