[PDF] Top 20 Computing in matrix groups without memory

... For any internally computable group G and any g ∈ G, we denote the shortest length of a program computing g using only instructions from G as L (g, G); we refer to this quantity as the complexity of g in G. If H ≤ ... See full document

... of computing any function of a set of regis- ters by updating one register at a time while using no ...some matrix groups, thus showing that the special linear group is internally computable but not ... See full document

... Memoryless computation is a new topic, which is arguably not well known so far. It sig- nificantly differs from the many branches of “traditional” theoretical computer science, its peculiar setup yielding new phenomena, ... See full document

... The above innovation causes all the vendors to forcefully consider In-Memory Computing (IMC) — where computing is done in RAM. One of the advantages of processing in RAM is lower latency — achieved ... See full document

... flow computing framework combined with SAP HANA memory computing platform to monitor and analyze real-time ...streaming computing and memory computing is better than traditional ... See full document

... fast groups in Section ...program computing a given permutation? This problem has a linear analogue: any matrix can be computed in b 3n/2 c instructions [10], but the complexity of determining those ... See full document

... The findings compare the algorithm's efficiency for the resource wastage by the two approaches in the terms of the request for the memory and CPU. This comparison was done for correlation of power and ... See full document

... Shared Memory Parallel Computing Models In shared memory architecture a number of processors are connected to a common central memory.. Since all processors are sharing a single address [r] ... See full document

... The bit shifting operation is the key feature of our algorithm, as it allows the use of a single precomputed value to find the modulus of all bits above the bit width of Y , unlike other solutions. We can also use ... See full document

... or matrix group, generated by two of its elements x and y with x an ...of computing presentations on many randomly chosen pairs of generators using Cannon's ...similar matrix program) can be used to ... See full document

... This command first computes the rank, r say, of the matrix. Then up to abs{n) rxr determinants of different submatrices are calculated, and their g.c.d. computed. The submatrices are different in the last row (or ... See full document

... Now we can state the generalization of Lemma 3 for oracle algorithms. It is actually a ‘composition theorem’ meaning that combining an algebraic (oracle) algorithm with an algebraic oracle produces another (weak) ... See full document

... In this section we apply the above results to the case that G = Γ , the Galois group of a finite splitting extension K of k for a maximal k-torus T as in 2.2. This will give us the index related to the isomorphy classes ... See full document

... Employing such an approach enables a scholar to ‘avoid unintentionally doubling or reinforcing the reification of ethnic groups in ethnopolitical practice with a reification of such groups in social ... See full document

... quasi-dyadic matrix, its factors L, U and P are in quasi-dyadic form as well: as we have done for the matrix M, we refer to their compact representations as L, ˆ U ˆ and P, ...a matrix M, as in (10), ... See full document

... existing memory of the processor and in mode-2 the two RAMs MAT-RAM-A and MAT-RAM-B are configured as source for hardware with MAT-RAM-C working as destination for storage or resultant matrix after ... See full document

... With the wide spread use of web services, failures due to software aging in a web service can be catastrophic. In this paper we discuss the use of an open source tool CLRProfiler [8] to analyze memory allocation ... See full document

... Proof. Theorem 1 consists of three steps, computing the points outside the polygon, computing the event order, and processing the events. For the first two steps, the compar- isons do depend on (r, x, y) ... See full document

... verbal memory and working memory difficulties, could result in language learning difficulties, leading to impairments in language that resemble those seen in children with ... See full document

... (iii) UV Erasable Programmable ROM (UV EPROM) Both the manufacturing process and characteristics of this memory are completely identical to OTP ROM. It enables data to be erased under strong ultraviolet light. ... See full document