Long strings and symmetric product orbifold from the AdS3Bethe equations

The formation of cusps on long cosmic strings is discussed and the probability of cusp formation is estimated. The energy distribution of the gamma-ray background due to cusp annihilation on long strings is calculated and compared to observations. Under optimistic assumptions about the cusp formation rate, we find that strings with a mass per unit length μ less than Gμ=10−14 will have an observable effect. However, it is shown that the gamma-ray bursters cannot be attributed to long ordinary strings (or loops).

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Hybrid reduced and symmetric product spaces

Mathematische Zeitschrift ◽

10.1007/bf01214513 ◽

1979 ◽

Vol 168 (3) ◽

pp. 213-221

Author(s):

Michael H. Eggar

Keyword(s):

Symmetric Product ◽

Product Spaces

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Efficient Memory-based Multiplier Technique for SWL DSP Systems

International Journal for Research in Applied Science and Engineering Technology ◽

10.22214/ijraset.2021.36474 ◽

2021 ◽

Vol 9 (VII) ◽

pp. 905-909

Author(s):

B Ajay Kumar

Keyword(s):

High Precision ◽

Symmetric Product ◽

Combinational Circuits ◽

Efficient Manner ◽

Storage And Retrieval ◽

Discrete Signals ◽

Different Types ◽

Dsp Systems ◽

Efficient Memory ◽

Combined Technique

The DSP systems usually deal with a lot of multiplications as it is dealt with many discrete signals. The combinational circuits consume a lot of power as there are many intermediate blocks (i.e., usually full adders & and gates). The combinational circuits take more area and the delay is also more. Usually there is a tradeoff between area and delay. To make the multiplier more efficient we usually prefer memory-based multiplier. Different types of techniques are there in memory-based multipliers like the APC (anti-symmetric product coding), OMS (odd multiple storage) etc. In these techniques LUT based storage is used. The multiplied products are stored efficiently based on the technique used to store the data. To optimize the memory required we combine the APC and OMS technique for better storage and retrieval of data. In this project we show how combined technique increases the performance of multiplier. The suggested combined technique reduces the size of the LUT to one-fourth that of a standard LUT. It is demonstrated that the proposed LUT architecture for tiny input sizes can be used to execute high-precision multiplication with input operand decomposition in an efficient manner.

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The Horse Fair

Black Beauty ◽

10.1093/owc/9780199608522.003.0037 ◽

2012 ◽

Author(s):

Anna Sewell

Keyword(s):

Long Strings ◽

Young Horses

No doubt a horse fair is a very amusing place to those who have nothing to lose; at any rate there is plenty to see. Long strings of young horses out of the country, fresh from the marshes; and droves of shaggy little Welsh ponies,...

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Higher Dimensional Harmonic Volume Can be Computed as an Iterated Integral

Canadian Mathematical Bulletin ◽

10.4153/cmb-1992-045-3 ◽

1992 ◽

Vol 35 (3) ◽

pp. 328-340 ◽

Cited By ~ 2

Author(s):

William M. Faucette

Keyword(s):

Smooth Curve ◽

Double Cover ◽

Symmetric Product ◽

Higher Dimensional ◽

Iterated Integral

AbstractIn this paper it is shown that the computation of higher dimensional harmonic volume, defined in [1], can be reduced to Harris' computation in the onedimensional case (See [3]), so that higher dimensional harmonic volume may be computed essentially as an iterated integral. We then use this formula to produce a specific smooth curve , namely a specific double cover of the Fermat quartic, so that the image of the second symmetric product of in its Jacobian via the Abel-Jacobi map is algebraically inequivalent to the image of under the group involution on the Jacobian.

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