A computer implemented method includes receiving one or more data sequences and formula sequences, each formula referencing one or more of the data values of the data sequences; providing a GUI enabling a user to define a pattern including at least one data element representing a data sequence and at least one formula element representing a formula sequence, the GUI enabling the user to define the spatial relationship of the data elements and formula elements in the pattern, applying the pattern on a canvas of an electronic document multiple times, thereby filling canvas elements mapped to a data element with data values and filling canvas elements mapped to a formula element with formulas or formula results, until all data values of one of the data sequences or all formulas of one of the formula sequences have been filled once into the canvas.

The present disclosure is directed to a spreadsheet application with an enhanced understanding of mathematical equations using a mathematical engine and a calculation engine. The disclosed spreadsheet application has many enhanced features, such as, but not limited to: analyzing complex equations, identifying dependencies, converting mathematical notation to spreadsheet notation, connecting variables in an equation to other cells of the spreadsheet, solving or simplifying equations, recommending different display representations of data, and a providing a math display mode.

The present disclosure is directed to a spreadsheet application with an enhanced understanding of mathematical equations using a mathematical engine and a calculation engine. The disclosed spreadsheet application has many enhanced features, such as, but not limited to: analyzing complex equations, identifying dependencies, converting mathematical notation to spreadsheet notation, connecting variables in an equation to other cells of the spreadsheet, solving or simplifying equations, recommending different display representations of data, and a providing a math display mode.

A computer-implemented method according to one embodiment includes identifying a textual document, determining chemical data within the textual document, performing an analysis of the chemical data to identify a chemical pathway, and calculating a probability score for the chemical pathway, including predicting an outcome of a chemical reaction, utilizing the chemical data.

A computer-implemented method according to one embodiment includes identifying a textual document, determining chemical data within the textual document, performing an analysis of the chemical data to identify a chemical pathway, and calculating a probability score for the chemical pathway, including predicting an outcome of a chemical reaction, utilizing the chemical data.

In a general aspect, a superconducting quantum circuit system is modeled. In some aspects, a graph representing a quantum circuit system is generated. The graph includes vertices and edges; the edges represent circuit elements of the quantum circuit system, and the vertices represent physical connections between the circuit elements. Inverse inductances, conductances, capacitances, and junction inverse inductances are assigned to respective edges of the graph based on a lumped-element approximation of the quantum circuit system. A coordinate system is determined based on the graph, and a matrix representation of the system is determined based on the coordinate system. A Hamiltonian for the quantum circuit system is determined using the matrix representation, and the quantum circuit system is simulated based on the Hamiltonian.

In a general aspect, a superconducting quantum circuit system is modeled. In some aspects, a graph representing a quantum circuit system is generated. The graph includes vertices and edges; the edges represent circuit elements of the quantum circuit system, and the vertices represent physical connections between the circuit elements. Inverse inductances, conductances, capacitances, and junction inverse inductances are assigned to respective edges of the graph based on a lumped-element approximation of the quantum circuit system. A coordinate system is determined based on the graph, and a matrix representation of the system is determined based on the coordinate system. A Hamiltonian for the quantum circuit system is determined using the matrix representation, and the quantum circuit system is simulated based on the Hamiltonian.

According to one embodiment, a computer program product for performing chemical textual analysis comprises a computer readable storage medium having program instructions embodied therewith, wherein the computer readable storage medium is not a transitory signal per se, and where the program instructions are executable by a processor to cause the processor to perform a method comprising identifying a textual document, utilizing the processor, determining chemical data within the textual document, utilizing the processor, performing an analysis of the chemical data to identify a chemical pathway, utilizing the processor, and calculating a probability score for the chemical pathway, utilizing the processor.

According to one embodiment, a computer program product for performing chemical textual analysis comprises a computer readable storage medium having program instructions embodied therewith, wherein the computer readable storage medium is not a transitory signal per se, and where the program instructions are executable by a processor to cause the processor to perform a method comprising identifying a textual document, utilizing the processor, determining chemical data within the textual document, utilizing the processor, performing an analysis of the chemical data to identify a chemical pathway, utilizing the processor, and calculating a probability score for the chemical pathway, utilizing the processor.

An image processing apparatus includes: a document reading section that reads an image from an original document; a character recognizing section that preforms processing for subjecting image data obtained by reading of the image by the document reading section to character recognition; a conversion section that performs, using a recognition result of the character recognizing section, conversion of the image data obtained by reading by the document reading section to data available within predetermined application software; and a determination section that determines whether or not a text represented by the recognition result of the character recognizing section contains a predetermined keyword. When the determination section determines that the text contains the predetermined keyword, the conversion section performs the conversion in a limitedly editable format, whereas when the determination section determines that the text does not contain the predetermined keyword, the conversion section performs the conversion in a freely editable format.