Abstract: A method of operating a network switch for collective communication includes: receiving, via a network from external electronic devices, a first and second matrix each formatted according to a sparse matrix storage format; and generating a third matrix formatted according to the sparse matrix storage format, wherein the third matrix is generated by combining the first and second matrix according to the sparse matrix storage format, wherein, according to the sparse matrix storage format the first matrix includes first matrix positions of respective first element values and the second matrix includes second matrix positions of respective second element values, and wherein the combining includes comparing the first matrix positions with the second matrix positions.

Abstract: This invention provides methods and compositions for producing reduced cholesterol animal foodstuffs and products by feeding livestock and other food-producing animals with feed supplemented with microbial cultures containing hypocholesterolemic compounds produced by microorganisms comprising said microbial cultures. The invention provides low cholesterol poultry, eggs, meat, whole milk, and dairy products.

Abstract: Disclosed is a zipper type Very high bit-rate Digital Subscriber Line (VDSL) system which comprises a transmitter including an inverse fast Fourier transformer for performing an inverse fast Fourier transform on input data, and a cyclic extension adder for adding a cyclic extension for each symbol to the data output from the inverse fast Fourier transformer and outputting the data to a transmission channel; and a receiver including a cyclic extension remover for removing the cyclic extension from the data received through the transmission channel, and a fast Fourier transformer for performing a fast Fourier transform on the data output from the cyclic extension remover.

Abstract: This invention provides methods and compositions for producing reduced cholesterol animal foodstuffs and products by feeding livestock and other food-producing animals with feed supplemented with microbial cultures containing hypocholesterolemic compounds produced by microorganisms comprising said microbial cultures. The invention provides low cholesterol poultry, eggs, meat, whole milk, and dairy products.

Abstract: Disclosed is a zipper type Very high bit-rate Digital Subscriber Line (VDSL) system which comprises a transmitter including an inverse fast Fourier transformer for performing an inverse fast Fourier transform on input data, and a cyclic extension adder for adding a cyclic extension for each symbol to the data output from the inverse fast Fourier transformer and outputting the data to a transmission channel; and a receiver including a cyclic extension remover for removing the cyclic extension from the data received through the transmission channel, and a fast Fourier transformer for performing a fast Fourier transform on the data output from the cyclic extension remover.