Abstract: This disclosure presents a comprehensive system that allows the storage of Meaning in a manner able to be accessed in any supported language, be processed under a rigorous mathematical methodology, and combine the information content of multiple files. Able to search, compare, paraphrase, and excerpt unambiguously by computer programs. Identify and present conflicts between files that an editor may resolve. The system incorporates corruption-resistant technology to prevent malicious damage, and a shell treats language-based documents as assets or NFTs. An integral coin-based asset/currency is designed to be sold, traded, earned, and bartered. A serial number allows that whole coins, stolen or permanently lost, be tracked to a wallet or canceled, reducing theft-reward.

Abstract: The present invention provides apparatus, methods, and computer program products that can decrease the latency with which the coefficients of a function representative of signal are determined. Specifically, the apparatus, methods, and computer program products of the present invention, taking advantage of the independence of samples, updates each of the coefficients of the function as each sample is received. As such, when the final sample is received, the apparatus, methods, and computer program products of the present invention need only update each coefficient with the contribution of the last sample prior to outputting the coefficients. As such, the latency from the time the last sample is received and the availability of the coefficients is decreased. To further decrease the latency, in one embodiment, the apparatus, methods, and computer program products of the present invention prestore either all or a portion of the possible values of the contribution of a sample to each coefficient, such that.

Abstract: An electronic device includes an integrated circuit having a plurality of domains, and at least one bias source. Each domain of the plurality of domains is independently electrically connected to at least one of the at least one bias source.

Abstract: An electrochemical cell includes an anode half-cell and a cathode half-cell. A separator, such as a membrane, is formed between the two half-cells, and a gate electrode may be configured to influence the properties of the separator. Electricity is generated by flowing a liquid fuel through conduits, while applying an electric field to the gated membrane such that the membrane conducts protons. Complementary half cell reactions take place at an anode and a cathode.

Abstract: Apparatus, methods, and computer program products are provided for generating a second set of equations requiring reduced numbers of computations from a first set of general equations, wherein each general equation defines coefficients in terms of a set of samples and a plurality of functions having respective values. A first set of tokens is initially assigned to the plurality of functions such that every value of the functions that has a different magnitude is assigned a different token, thereby permitting each general equation to be defined by the set of samples and their associated tokens. Each general equation is then evaluated and the samples having the same associated token are grouped together. A second set of tokens is then assigned to represent a plurality of unique combinations of the samples. The second set of equations is then generated based at least on the first and second sets of tokens.

Abstract: A method of determining a coefficient of a function representative of a signal, comprises adding a first complex value representative of a first sample of the signal to a coefficient register, and rotating the coefficient.

Abstract: Apparatus, methods, and computer program products are provided for generating a second set of equations requiring reduced numbers of computations from a first set of general equations, wherein each general equation defines coefficients in terms of a set of samples and a plurality of functions having respective values. A first set of tokens is initially assigned to the plurality of functions such that every value of the functions that has a different magnitude is assigned a different token, thereby permitting each general equation to be defined by the set of samples and their associated tokens. Each general equation is then evaluated and the samples having the same associated token are grouped together. A second set of tokens is then assigned to represent a plurality of unique combinations of the samples. The second set of equations is then generated based at least on the first and second sets of tokens.

Abstract: The present invention provides apparatus, methods, and computer program products that can decrease the latency with which the coefficients of a function representative of signal are determined. Specifically, the apparatus, methods, and computer program products of the present invention, taking advantage of the independence of samples, updates each of the coefficients of the function as each sample is received. As such, when the final sample is received, the apparatus, methods, and computer program products of the present invention need only update each coefficient with the contribution of the last sample prior to outputting the coefficients. As such, the latency from the time the last sample is received and the availability of the coefficients is decreased. To further decrease the latency, in one embodiment, the apparatus, methods, and computer program products of the present invention prestore either all or a portion of the possible values of the contribution of a sample to each coefficient, such that.