Kla Tencor Corporation

Brainquake Inc

Michael Romero

Gildardo Rios Delgado

Rudy Flores Garcia

Frances Hill

Katerina Ioakeimidi

Keith Devlin

Steve Mays

Dariush Afshar

Randy Weiner

Pamela Briskman

Gary V Lopez Lopez

Zefram Marks

Jacqueline Diy

A computer-implemented method and system for representing and solving at least one of an algebraic problem, a proportions problem, and a linear growth problem. A graphical user interface has a symbolic section and a pictorial section. The symbolic section includes a symbolic representation of the mathematical problem and the pictorial section includes a pictorial representation of the mathematical problem. An input is received from a user. The input is associated with one of the symbolic section and the pictorial section. In response to the input, the other of the symbolic section and the pictorial section is modified such that the symbolic section and the pictorial section track each other. The user solves the mathematical problem by interacting with at least one of the symbolic section and the pictorial section.

Systems and methods of representing and solving mathematical problems

An instructional system and method for representing and solving algebraic problems. A computer-implemented method of representing and solving mathematical problems comprises providing a graphical user interface for displaying an instructional system. The instructional system comprises a primary cog having a plurality of primary cog teeth and a secondary cog having a plurality of secondary cog teeth. The secondary cog is linked to the primary cog such that a rotation of the secondary cog causes a rotation of the primary cog. The method comprises representing a mathematical problem on the graphical user interface using the instructional system. The method includes receiving an input from a user and rotating the secondary cog based on the input to cause the primary cog to also rotate. The mathematical problem is solved when a particular tooth of the plurality of primary cog teeth reaches a predefined location.

Systems and methods of representing and solving algebraic problems

A tile instructional system for presenting a linear growth problem and for allowing the linear growth problem to be solved comprises an input tray having at least a first tile and a second tile. The first tile has a first marking and the second tile has a second marking. Each of the first tile and the second tile is configured to selectively expand in accordance with its respective marking. The system includes a tile bed comprising a plurality of tile slots. Each of the plurality of tile slots is configured to receive a tile. The linear growth problem is solvable by situating in the tile bed at least one of the first tile and the second tile and by causing each tile situated in the tile bed to expand in accordance with its respective marking to fill the tile bed.

Tile instructional systems and methods of making and using same

A liquid flow instructional system for presenting a proportions problem and for allowing the proportions problem to be solved comprises an input container and a plurality of output containers selectively and fluidly coupled to the input container. The system has an adjustable valve having a plurality of configurable regions. Each of the plurality of configurable regions corresponds to one of the plurality of output containers. An activable switch is provided for initiating flow of liquid from the input container to the plurality of output containers in accordance with a user configuration of the plurality of configurable regions. The proportions problem is solvable by filling each of the plurality of output containers to capacity without spillage. The correspondence between the plurality of configurable regions and the plurality of output containers is indicated by a visible indicator.

Liquid flow instructional systems and methods of making and using same

A photocathode can include a body fabricated of a wide bandgap semiconductor material, a metal layer, and an alkali halide photocathode emitter. The body may have a thickness of less than 100 nm and the alkali halide photocathode may have a thickness less than 10 nm. The photocathode can be illuminated with a dual wavelength scheme.

Photocathode designs and methods of generating an electron beam using a photocathode

A flat top laser beam is used to generate an electron beam with a photocathode that can include an alkali halide. The flat top profile can be generated using an optical array. The laser beam can be split into multiple laser beams or beamlets, each of which can have the flat top profile. A phosphor screen can be imaged to determine space charge effects or electron energy of the electron beam.

Electron beam generation and measurement

The system includes a photocathode electron source, diffractive optical element, and a microlens array to focus the beamlets. A source directs a radiation beam to the diffractive optical element, which produces a beamlet array to be used in combination with a photocathode surface to generate an array of electron beams from the beamlets.

Photocathode emitter system that generates multiple electron beams

An emitter with a diameter of 100 nm or less is used with a protective cap layer and a diffusion barrier between the emitter and the protective cap layer. The protective cap layer is disposed on the exterior surface of the emitter. The protective cap layer includes molybdenum or iridium. The emitter can generate an electron beam. The emitter can be pulsed.

Metal protective layer for electron emitters with a diffusion barrier

Electron source designs are disclosed. The emitter structure, which may be silicon, has a layer on it. The layer may be graphene or a photoemissive material, such as an alkali halide. An additional layer between the emitter structure and the layer or a protective layer on the layer can be included. Methods of operation and methods of manufacturing also are disclosed.

Silicon electron emitter designs

A photocathode structure, which can include an alkali halide, has a protective film on an exterior surface of the photocathode structure. The protective film includes ruthenium. This protective film can be, for example, ruthenium or an alloy of ruthenium and platinum. The protective film can have a thickness from 1 nm to 20 nm. The photocathode structure can be used in an electron beam tool like a scanning electron microscope.

Ruthenium encapsulated photocathode electron emitter

A method for adaptively teaching content to a user comprises providing a plurality of teaching topics. The method includes sequentially associating a lead problem and a plurality of secondary problems with each of the plurality of teaching topics. Each of the lead problems and the plurality of secondary problems is an open-ended puzzle having a range of solutions and a difficulty rank. The range of solutions for each of the lead problems and the plurality of secondary problems has an optimal solution and a plurality of secondary solutions. A teaching topic is selected and a corresponding lead problem is presented to a user. User provides answer data via a physical input device having enmeshed gears. The user is provided another secondary problem in the selected teaching topic if the answer data matches one of the secondary solutions. The user is provided another lead problem if the answer data matches the optimal solution.

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San Jose, CA, United States of America

Michael Romero