Abstract: Per- and polyfluoroalkyl substances (PFAS) are destroyed by oxidation in supercritical conditions. PFAS in water can be concentrated and prepared for destruction in a pretreatment phase. Following annihilation of the PFAS in supercritical conditions to levels below 5 parts per trillion (ppt), the water effluent can be used to recover heat, returned to sub-critical conditions, and then released back into the environment.

Abstract: An antenna arrangement comprising: a conductive element comprising three slots radially extending from a common center void; and a first feed and a second feed wherein the first feed is a single line feed and the second feed is a single line feed.

Abstract: Disclosed herein are systems, media, methods, and platforms for providing personalized mastery learning utilizing: a knowledge map; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; a learning activity selection module selecting one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner.

Abstract: Disclosed herein are systems and methods for for dynamically editing online interactive elements to facilitate logical and stepwise execution of a process with an architecture comprising a first centralized data structure comprising a process map, the process map comprising a plurality of nodes, each node representing at least one step of the process, wherein the nodes are arranged in the process map hierarchically and so as to represent relationships between the steps of the process; a library of online interactive elements, each online interactive element comprising dynamically editable content, feedback, and scaffolding; a second centralized data structure comprising a prerequisite map associating each node of the process map with one or more of the online interactive elements; a user interaction record; and an editing engine comprising a selection module, a content editing module, a feedback editing module, and a scaffold editing module.

Abstract: A filter comprises a dielectric resonator element and a cylindrical waveguide cavity having a corrugated tube structure that surrounds the dielectric resonator element such that an outer encircling wall surface of the dielectric resonator element is in contact with an inner sidewall of the corrugated tube structure. The corrugated tube structure includes one or more spaced-apart corrugations configured to provide a spring-like action to controllably expand and contract the corrugated tube structure so that the dielectric resonator element can be controllably inserted and clamped within the cylindrical waveguide cavity. The geometry of the spaced-apart corrugations can be selected to define a rotationally asymmetric corrugated tube structure configured to split a plurality of fundamental modes of electromagnetic waves within the filter.

Abstract: A filter comprises a dielectric resonator element and a cylindrical waveguide cavity having a corrugated tube structure that surrounds the dielectric resonator element such that an outer encircling wall surface of the dielectric resonator element is in contact with an inner sidewall of the corrugated tube structure. The corrugated tube structure includes one or more spaced-apart corrugations configured to provide a spring-like action to controllably expand and contract the corrugated tube structure so that the dielectric resonator element can be controllably inserted and clamped within the cylindrical waveguide cavity. The geometry of the spaced-apart corrugations can be selected to define a rotationally asymmetric corrugated tube structure configured to split a plurality of fundamental modes of electromagnetic waves within the filter.

Abstract: An apparatus is provided to mitigate the adverse effects of mutual coupling. The apparatus includes a ground plane and first and second active radiators spaced from the ground plane. The first and second active radiators are configured to the electrically coupled to at least one of a receiver, a transmitter or a transceiver. The antenna also includes a grounded radiator electrically coupled to the ground plane and positioned between the first and second active radiators. The ground plane defines a non-conductive slot positioned between the first and second active radiators and bounded by the ground plane.

Abstract: A multi-filtenna system is provided that effectively combines an antenna element and a filter element in a compact design while concurrently providing adequate port isolation, a low ECC, a low insertion loss (and a corresponding high efficiency) and a similar radiation pattern for each antenna element in order to allow for multi-channel beam forming. A multi-filtenna system includes a plurality of filtennas disposed in parallel proximate one another. Each filtenna includes a port, one or more resonator sections coupled to one another and a radiating resonator. The one or more resonator sections are disposed between the port and the radiating resonator. Each of the plurality of filtennas are configured to communicate via the port and to operate at the same frequency.

Abstract: An apparatus is provided to mitigate the adverse effects of mutual coupling. The apparatus includes a ground plane and first and second active radiators spaced from the ground plane. The first and second active radiators are configured to the electrically coupled to at least one of a receiver, a transmitter or a transceiver. The antenna also includes a grounded radiator electrically coupled to the ground plane and positioned between the first and second active radiators. The ground plane defines a non-conductive slot positioned between the first and second active radiators and bounded by the ground plane.

Abstract: Disclosed herein are systems, media, methods, and platforms for providing personalized mastery learning utilizing: a knowledge map; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; a learning activity selection module selecting one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner.

Abstract: Disclosed herein are systems, media, methods, and platforms for providing personalized mastery learning utilizing: a knowledge map; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; a learning activity selection module selecting one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner.

Abstract: Disclosed herein are systems and methods for for dynamically editing online interactive elements to facilitate logical and stepwise execution of a process with an architecture comprising a first centralized data structure comprising a process map, the process map comprising a plurality of nodes, each node representing at least one step of the process, wherein the nodes are arranged in the process map hierarchically and so as to represent relationships between the steps of the process; a library of online interactive elements, each online interactive element comprising dynamically editable content, feedback, and scaffolding; a second centralized data structure comprising a prerequisite map associating each node of the process map with one or more of the online interactive elements; a user interaction record; and an editing engine comprising a selection module, a content editing module, a feedback editing module, and a scaffold editing module.

Abstract: An apparatus includes a measurement structure for performing measurements of an RF device. The measurement structure includes an aperture in a conductive surface of the RF device and a conductive projecting region projecting into the aperture from a conductive perimeter of the aperture and electrically connected to that conductive perimeter. The aperture has a similar width in all dimensions. A combined shape of the aperture and the conductive projecting region does not possess even rotational symmetry about a point where a signal conductor will be placed on the conductive projecting region in order to conduct RF energy between the measurement structure and an external measurement instrument for performing the measurements. The measurement structure may be used for performing measurements of a multimode resonator, the measurements comprising one or more of resonant frequencies and quality factors of resonant modes of the resonator.

Abstract: A first dielectric resonator component is joined to a second dielectric resonator component by bonding a first face of the first dielectric resonator component to a second face of the second dielectric resonator component. The first face has a first coupling aperture formed by removing a portion of a coating of first conductive material from the first dielectric resonator component, and the second face has a second coupling aperture formed by removing a portion of a coating of second conductive material from the second dielectric resonator component. The first coupling aperture and said second coupling aperture are aligned with one another when said first face is bonded to the second face. The first dielectric resonator component, which is slab-shaped, and the second dielectric resonator component, which is generally cubed-shaped, form a linear stack having two end faces and four side faces.

Abstract: Disclosed herein are systems, media, methods, and platforms for providing personalized mastery learning utilizing: a knowledge map; a plurality of learning activities, each learning activity comprising dynamically variable scaffolding, feedback, and content; a learning activity selection module selecting one or more learning activities for the learner; and a learning activity modification module dynamically varying one or more of the scaffolding, feedback, and content of at least one selected learning activity based on performance of the learner.

Abstract: A first dielectric resonator component is joined to a second dielectric resonator component by bonding a first face of the first dielectric resonator component to a second face of the second dielectric resonator component. The first face has a first coupling aperture formed by removing a portion of a coating of first conductive material from the first dielectric resonator component, and the second face has a second coupling aperture formed by removing a portion of a coating of second conductive material from the second dielectric resonator component. The first coupling aperture and said second coupling aperture are aligned with one another when said first face is bonded to the second face. The first dielectric resonator component, which is slab-shaped, and the second dielectric resonator component, which is generally cubed-shaped, form a linear stack having two end faces and four side faces.

Abstract: An apparatus includes a measurement structure for performing measurements of an RF device. The measurement structure includes an aperture in a conductive surface of the RF device and a conductive projecting region projecting into the aperture from a conductive perimeter of the aperture and electrically connected to that conductive perimeter. The aperture has a similar width in all dimensions. A combined shape of the aperture and the conductive projecting region does not possess even rotational symmetry about a point where a signal conductor will be placed on the conductive projecting region in order to conduct RF energy between the measurement structure and an external measurement instrument for performing the measurements. The measurement structure may be used for performing measurements of a multimode resonator, the measurements comprising one or more of resonant frequencies and quality factors of resonant modes of the resonator.

Abstract: An apparatus includes a filtenna. The filtenna includes a block having a waveguide formed therein, and having first and second ends, wherein the first end is closed and the second end radiates to free space. The filtenna also includes multiple patch elements suspended within the waveguide, ordered from a first patch element at the first end of the waveguide to a final patch element at the second end of the waveguide. The filtenna further includes one or more ports at the first end of the waveguide. Each of the one or more ports is electrically coupled to the first patch element, and is for coupling to a corresponding antenna polarization. A dual-polarized filtenna is possible, as are transmitters, receivers, base stations, and the like. An array of filtennas may be created and used, and the filtenna(s) may be used for transmission, reception, or both.

Abstract: A vertically integrated, mobile educational system for a child aged about 1 to about 12 years is presented comprising a mobile digital processing device that is optionally connected to a computer network and at least one mobile application provided to the mobile digital processing device. The one or more mobile applications include executable instructions that create a mobile interactive educational resource characterized by: providing a mobile extension of a web-based educational suite; integrating with the web-based educational suite according to an instructional plan designed to accomplish one or more specific educational objectives in a subject; and comprising one or more learning activities associated with a subject appropriate for the child. Additionally, the educational resource is substantially free of activities not teaching toward one or more educational objectives in a subject.

Abstract: Disclosed herein, in certain embodiments, are computer-based language phoneme practice systems, products, programs, and methods comprising a digital processing device and a computer program that creates a language phoneme practice engine, wherein said engine comprises: a taxonomy of phonemes of a target language; a software module for providing an interface for practicing each said phoneme in said taxonomy, wherein said interface allows a learner to optionally access a visual representation and an auditory representation of each said phoneme in said taxonomy; and a software module for providing an interface for practicing each said phoneme in the context of the beginning, middle, and end of words of said target language, wherein said interface allows a learner to optionally access a visual and an auditory representation of each said word and each said phoneme in each said word.