Abstract: A method for extracting an explanation from a solution of a global optimization problem derived via an interval analysis is provided. In the context of a global optimization problem characterized by a model, a set of model parameters, and an objective function delimiting relationships between and among the set of model parameters, each model parameter in the set of model parameters corresponding to a unique solution interval of a set of solution intervals, a ranked order of significance for a solution interval in the set of solution intervals as a function of first and second endpoints of the solution interval is derived. Thereafter, an explanation to the solution of the global optimization problem is provided, the explanation embodied in a list or an index that effectively sorts model parameters in the set of model parameters as a function of the ranked order of significance derived for a model parameter's corresponding solution interval.

Abstract: An interval arithmetic based system and method for solving a global optimization problem is contemplated and provided. Provisions are made for a bisection indexing scheme for a parameter domain of an objective function wherein unique codes are assigned to each iterative interval subset of the parameter domain. Relationships for, between and among iterative subdivisions are arithmetically delimited, with unique codes populating an integer field of a bisection queue system memory component for particular arrays in a bisection context system memory component, and a further integer array of the bisection context. In connection to depth first domain bisection, operations are undertaken relative to the bisection context which are memorialized in relation to the bisection queue, operations which include a work stealing scheme for simultaneous breadth first searching.

Abstract: A tank, such as a fermentation tank, includes a scraper blade assembly slideably coupled to a bottom surface of the tank. The scraper blade assembly includes a blade arranged to displace solids deposited on the bottom surface of the tank out through an aperture arranged flush with the bottom surface of the tank.

Abstract: A tank, such as a fermentation tank, includes a scraper blade assembly slideably coupled to a bottom surface of the tank. The scraper blade assembly includes a blade arranged to displace solids deposited on the bottom surface of the tank out through an aperture arranged flush with the bottom surface of the tank.

Abstract: A manway gate assembly couples to a tank and provides a liquid tight seal. The manway gate assembly includes a gate selectively slideable in a first linear direction between an open position, a closed position, and/or an intermediate position between the open position and the closed position. The manway gate assembly includes one or more locking members arranged adjacent to the gate and moveable between a locked position and an un-locked position. When in the locked position, the one or more locking members apply a biasing force to the gate in a second linear direction perpendicular to the first linear direction to seal the gate to the tank and provide a liquid tight seal.

Abstract: A tank, such as a fermentation tank, includes a scraper blade assembly slideably coupled to a bottom surface of the tank. The scraper blade assembly includes a blade arranged to displace solids deposited on the bottom surface of the tank out through an aperture arranged flush with the bottom surface of the tank.

Abstract: A tank, such as a fermentation tank, includes a scraper blade assembly slideably coupled to a bottom surface of the tank. The scraper blade assembly includes a blade arranged to displace solids deposited on the bottom surface of the tank out through an aperture arranged flush with the bottom surface of the tank.

Abstract: A manway gate assembly couples to a tank and provides a liquid tight seal. The manway gate assembly includes a gate selectively slideable in a first linear direction between an open position, a closed position, and/or an intermediate position between the open position and the closed position. The manway gate assembly includes one or more locking members arranged adjacent to the gate and moveable between a locked position and an un-locked position. When in the locked position, the one or more locking members apply a biasing force to the gate in a second linear direction perpendicular to the first linear direction to seal the gate to the tank and provide a liquid tight seal.

Abstract: A manway gate assembly couples to a tank and provides a liquid tight seal. The manway gate assembly includes a gate selectively slideable in a first linear direction between an open position, a closed position, and/or an intermediate position between the open position and the closed position. The manway gate assembly includes one or more locking members arranged adjacent to the gate and moveable between a locked position and an un-locked position. When in the locked position, the one or more locking members apply a biasing force to the gate in a second linear direction perpendicular to the first linear direction to seal the gate to the tank and provide a liquid tight seal.

Abstract: A manway gate assembly couples to a tank and provides a liquid tight seal. The manway gate assembly includes a gate selectively slideable in a first linear direction between an open position, a closed position, and/or an intermediate position between the open position and the closed position. The manway gate assembly includes one or more locking members arranged adjacent to the gate and moveable between a locked position and an un-locked position. When in the locked position, the one or more locking members apply a biasing force to the gate in a second linear direction perpendicular to the first linear direction to seal the gate to the tank and provide a liquid tight seal.

Abstract: A manway gate assembly couples to a tank and provides a liquid tight seal. The manway gate assembly includes a gate selectively slideable in a first linear direction between an open position, a closed position, and/or an intermediate position between the open position and the closed position. The manway gate assembly includes one or more locking members arranged adjacent to the gate and moveable between a locked position and an un-locked position. When in the locked position, the one or more locking members apply a biasing force to the gate in a second linear direction perpendicular to the first linear direction to seal the gate to the tank and provide a liquid tight seal.

Abstract: A tank, such as a fermentation tank, includes a scraper blade assembly slideably coupled to a bottom surface of the tank. The scraper blade assembly includes a blade arranged to displace solids deposited on the bottom surface of the tank out through an aperture arranged flush with the bottom surface of the tank.

Abstract: A tank, such as a fermentation tank, includes a scraper blade assembly slideably coupled to a bottom surface of the tank. The scraper blade assembly includes a blade arranged to displace solids deposited on the bottom surface of the tank out through an aperture arranged flush with the bottom surface of the tank.

Abstract: A manway gate assembly couples to a tank and provides a liquid tight seal. The manway gate assembly includes a gate selectively slideable in a first linear direction between an open position, a closed position, and/or an intermediate position between the open position and the closed position. The manway gate assembly includes one or more locking members arranged adjacent to the gate and moveable between a locked position and an un-locked position. When in the locked position, the one or more locking members apply a biasing force to the gate in a second linear direction perpendicular to the first linear direction to seal the gate to the tank and provide a liquid tight seal.

Abstract: A tank, such as a fermentation tank, includes a scraper blade assembly slideably coupled to a bottom surface of the tank. The scraper blade assembly includes a blade arranged to displace solids deposited on the bottom surface of the tank out through an aperture arranged flush with the bottom surface of the tank.

Abstract: A system is provided for visible surface determination in furtherance of photorealistic rendering in a computer graphics environment. The system includes a scene database and a processor, visual characteristics of objects of an image frame of a scene of the scene database are delimited as geometric primitive. The processor, for executing an interval analysis, to a user degree of certainty, accurately and deterministically ascertains a visible solution set of an area not exceeding a pixel dimension for a pixel of an array of pixels that form said image frame.

Abstract: A logic circuit computes various modal interval arithmetic values using a plurality of arithmetic function units. A multiplexer gates the desired arithmetic values to a storage register.

Abstract: A system (40) is provided for visible surface determination in furtherance of photorealistic rendering in a computer graphics environment. The system includes a scene database (42) and a processor, visual characteristics of objects of an image frame (44) of a scene of the scene database (42) are delimited as geometric primitive. The processor, for executing an interval analysis, to a user degree of certainty, accurately and deterministically ascertains a visible solution set of an area not exceeding a pixel dimension for a pixel of an array of pixels (50) that form said image frame (44).