MUMBAI, India, Feb. 6 -- Intellectual Property India has published a patent application (202511132579 A) filed by Himanshu Sharma, Udaipur, Rajasthan, on Dec. 27, 2025, for 'a method and system for sequence-independent decomposition of powered finite summations using forward-difference hierarchies.'
Inventor(s) include Himanshu Sharma.
The application for the patent was published on Feb. 6, under issue no. 06/2026.
According to the abstract released by the Intellectual Property India: "A method and system for computing powered finite summations using structured, hierarchical decomposition are disclosed. The invention operates on a finite input sequence and generates forward-difference coefficients that provide a compact structural representation of the sequence. A finite summation derived from the input sequence is decomposed into a plurality of hierarchical distortion components, each corresponding to a distinct order of structural interaction among the forward-difference coefficients. Each distortion component is computed independently using basic arithmetic operations and may be evaluated sequentially or in parallel. The independently computed components are aggregated to obtain the powered finite summation. When the input sequence is modified, only a limited subset of lower-order distortion components is recomputed, enabling efficient incremental updates without full recomputation . The disclosed framework provides exact computation for polynomial-type sequences and controlled approximation for general sequences through truncation of higher-order components. The method supports deterministic execution time and hardware-friendly implementation and may be realized in software, firmware, hardware circuits, embedded systems, or computer-readable storage media. The invention improves computational efficiency, scalability, and real-time suitability of powered finite summation evaluation across signal processing, numerical computation, data analytics, control systems, and related applications."
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