574 results about "Mathematical formula" patented technology

An automated system and / or method is disclosed for rapidly, accurately, and efficiently processing bulk three-dimensional digital image data of both path / corridor and area scenes to discriminate different structures or classifications of objects from within the image. The method first decomposes the three-dimensional digital imagery coordinate points into simple local structures and then extracts the globally complex structures from the local structures. The system and / or method incorporates procedures for sub-dividing the three-dimensional image data into rectilinear and / or ellipsoidal finite element cells, mathematically analyzing the contents (point coordinates) of each individual cell to classify / define the local structure, and extracting the globally complex structure or object from the image. The system and / or method applies accepted mathematical formulas to filter or classify large volumes of apparently random three-dimensional point coordinate spatial data into simpler structures and then to extract more globally complex objects generally encountered within the real world imagery scene being investigated.

A system and method for profiling a software application may include means for defining a custom cost metric that includes a cost metric identifier and a cost function. The cost function may apply a mathematical formula to data extracted from an event set to calculate a respective cost metric value for each of one or more events in the event set. The data extracted from the event set may include one or more respective profiling object identifiers and one or more other respective costs associated with each of the one or more events. A cost associated with an event in the event space may be associated with a function or basic block of instructions. The cost function may include a distribution formula for attributing at least a portion of the cost associated with a function or basic block to each of the instructions comprising the function or basic block.

The invention relates to an automatic recognition method of a mathematical formula in an image, which comprises the steps that: a syntactic structure model of the mathematical formula is built, and a bottom knowledge base of the mathematical formula is built; the location of the mathematical formula in the image, the recognition of a mathematical symbol, the analysis and comprehension of a mathematical formula structure and the expression and formatted output of the mathematical formula structure are carried out. The automatic recognition method designs a complete set of method and model for solving the recognition and comprehension difficulties of an off-line mathematical formula image and forms a method for automatically processing the mathematical formula image in the whole process. The method can realize the automatic judgment and extraction of an individual-line / embedded mathematical formula in an image, thereby meeting the application requirements of the automatic inputting of the mathematical formula image and the comprehension and format recurrence of the mathematical formula structure. The method can be combined with the existing normal text OCR system to form a document image processing system with more complete functions and also can support the research on expression processing methods in other fields, such as automatic processing aiming at chemical equations, etc.

The present invention is a system and method for integrated operation, provision of user services, and management and control, for a publicly accessible global network. The global network has one or more horizontal levels for the provision of user services, network operation, overall management and control in a vertical hierarchy, and one or more horizontal levels of data management, including data capture, processing, analysis, reporting, etc. The system further includes Universal Software which integrates the functionalities of various software platforms into one unified integrated software. The system incorporates a plurality of components for connecting any user directly to applications, and enterprise sites and consumer sites for connecting users via the global network directly to other networks, data bases and computer devices, of emergency services personnel / agencies, for performing simultaneously mathematical formulae, algorithms or procedures, and for displaying and updating advertisements appearing at specific points in a software operation.

An expression editor for creating and editing mathematical formulas is implemented as a computer software program. Using the editor, a keyboard and mouse are used to perform actions that build and traverse mathematical structures with a single visual cue, either for the purpose of displaying mathematics in a document, performing a scientific computation, or any combination of the two.

Methods, computer-readable media, and apparatuses are disclosed for identifying predictive key risk indicators (KRIs) for organizations and / or firms through the application of specific statistical and quantitative methods that are well integrated with qualitative adjustment. An indicator is a variable with the purpose of measuring change in a phenomena or process. A risk indicator is an indicator that estimates the potential for some form of resource degradation using mathematical formulas or models. Organization / enterprise key risk indicators are an essential arsenal in the risk management framework of any firm or organization and may be required by regulatory agencies.

A system and method for profiling a software application may include means for defining a custom cost metric that includes a cost metric identifier and a cost function. The cost function may apply a mathematical formula to data extracted from an event set to calculate a respective cost metric value for each of one or more events in the event set. The data extracted from the event set may include one or more respective profiling object identifiers and one or more other respective costs associated with each of the one or more events. A cost associated with an event in the event space may be associated with a function or basic block of instructions. The cost function may include a distribution formula for attributing at least a portion of the cost associated with a function or basic block to each of the instructions comprising the function or basic block.

A method and a system for detecting cardiac arrhythmias that includes detecting RR intervals of the patient wherein each RR interval is an interval between two heart beats, and simulating standard probability density histograms of ΔRRs by means of a suitable probability distribution calculated through at least one mathematical formulae, wherein ΔRR is a difference between two successive RR intervals. Test probability density histograms of ΔRRs of the patient are constructed from the detected RR intervals. Finally, the standard and test histograms are compared to detect whether the patient suffers from cardiac arrhythmia. As non limiting examples, the standard probability density histograms of ΔRRs are modeled by a mathematical equation selected from the group consisting of: the Lorentzian distribution, the Gaussian distribution, the Student's t-distribution, and a probability distribution including a linear combination of the Lorentzian and Gaussian distribution.

The invention provides an identification method to identify Chinese printed formula, including analysis of typeface, character recognition and mathematical formula recognition three modules; typeface analysis module two-value pretreats BMP images, split out literal block, image block and list block using projection method combined with bottom-up typeface analysis algorithm, preserve image block and list block; Chinese character recognition module false merge rows against literal block, select segmentation parameters, extract characteristics and recognize Chinese characters, record the rejected results, combine adjacent rejected results in the same row in order to locate formula region; mathematical formula recognition is to extract,divide formula characters in the rejected character region, merger some characters and recognize; finally obtain the relationship between characters through structure analysis of formula characters, and output the final one-dimensional character strings. the identification effect of this invention is famous after test.

An apparatus is disclosed for presenting heart rate variability, comprising a sensor for collecting electrocardiogram signals; an analog-to-digital converter for digitalizing electrocardiogram signals; an operating unit, converting said digitalized electrocardiogram signals to one or more heart rate variability parameters and further converting said heart-rate-variability parameters to one or more standard scores of heart rate variability by a standard mathematical formula; and an output unit, outputting the standard score of said heart-rate-variability by sound and / or light to aid determining the state of heart rate variability of a subject.

Patterns (e.g., such as images, waveforms such as sounds, electromagnetic waves, or other signals, etc.) are synthesized, modulated and / or analyzed through the use of a computer programmed with a novel mathematical formula. The formula acts as a linear operator and can be used to create a variety of shapes, waveforms, and other representations. The formula greatly enhances ability in computer operations and provides a great savings in computer memory and a substantial increase in computing power.

A computerized method and system for creating, analyzing, and editing complex formulas so as to facilitate their use in software applications such as spreadsheets and database applications. The method and system employ multiple synchronized views for formulas, one view presenting the linear text required by the software application and the other views presenting clear indications of the meaning of that text. Examples of such views include mathematically typeset formulas and hierarchical diagrams that reveal the formula's structure. The method and system parse formulas to determine their structure, display that structure in multiple views, and provide a variety of controls and aids to assist in analyzing, debugging, and editing the formula so that it has the intended meaning and result. Additionally, it synchronizes the multiple views so that changes to the formula or to the presentation of the formula in one view are automatically reflected in the other views.

A system and methods for estimating the size of a parcel based on a mathematical formula derived from other parcels within a size category. The system may include a variety of modules in communication with a relational database for storing data related to parcels being delivered. Similar data may be retrieved from a variety of sources with embodiments of the present invention prioritizing the data based on the reliability of the source. In a further aspect, equipment needs are forecasted by evaluating parcel data over a period of time.

A cryptographic system splits a digital message into multiple parts, and scrambles sequencing of the multiple parts according to an algorithm requiring first and second keys to resolve. The keys can be related by a graphically recognizable mathematical formula, and can be implemented by a third party or other secure key management infrastructure, and can support pay-per-play subscription models. Scrambled messages can be stored on a CD, DVD or other memory, with the multiple parts being distributed on different storage hosts. Contemplated messages include digitized video or other movies, books, music, or any other type of information. Messages can be split according to color separations, video and audio tracts, frequency ranges, or in any other manner. Splitting of the message into the multiple parts can be used as a fingerprint in identifying a creator of the message.

A method of predicting the properties (e.g., mechanical and / or processing properties) of an injection-molded article is disclosed. The method makes use of a hybrid model which includes at least one neural network. In order to forecast (or predict) properties with respect to the manufacture of a plastic molded article, a hybrid model is used in the present invention, which includes: one or more neural networks NN1, NN2, NN3, NN4, . . . , NNk; and optionally one or more rigorous models R1, R2, R3, R4, . . . , which are connected to one another. The rigorous models are used to map model elements which can be described in mathematical formulae. The neural networks are used to map processes whose relationship is present only in the form of data, as it is in effect impossible to model such processes rigorously. As a result, a forecast relating to properties including the mechanical, thermal and rheological processing properties and relating to the process time of a plastic molded article is obtained.

The invention is a method for inverting reservoir bi-axial anisotropy and identifying complicated fracture / cross-bedding system (104) by using tri-axial induction logs and wellbore survey / image log data. An inversion method is disclosed that uses all nine components that can be measured by tri-axial induction tools (101), plus borehole azimuth and deviation data, to solve for the tri-axial induction response in an arbitrary anisotropic formation due to the non-orthogonal bedding plane and fracture plane (or cross bedding plane). A mathematical formula is provided relating the conductivity tensor in the tool's reference frame to the conductivity tensor in a reference plane associated with the fracture / cross bedding planes (102). This equation is inverted (103) to yield the conductivity tensor components in the fracture / cross bedding coordinate system, along with dip and azimuth angles for both the fracture / cross bedding planes and the tool.

A GPS server capable of receiving information for use in determining ionospheric errors using mathematical formulas and sending ionospheric error correction information to GPS receivers that are in a location capable of receiving the ionospheric error correction information.

The invention relates to a prediction method for battery life, wherein the method is used for predicting service life of a soft packaged lithium ion battery. The method comprises the following steps that: a functional relation between a battery capacity conversation rate and a number of times for battery charge and discharge is obtained, wherein the functional relation is expressed as: yx=a*ebx+c; besides, x is a number of times for charge and discharge and is a positive integer, yx is a battery capacity conversation rate, and a, b, and c are constant parameters correlated with the battery service life; and then according to the functional relations, the number of times for charge and discharge is calculated on the basis of a minimum capacity conservation rate. According to the invention, a capacity conservation rate of a battery is introduced into a mathematical formula to calculate a number of times of battery charge and discharge, so that the number of times of battery charge and discharge that means battery life and the residual number of times of battery charge and discharge that means residual battery life are obtained and testing time is substantially saved; besides, the method has advantages of rapidity and simpleness.

The sleeping-posture-control bed system includes a bed floor including a back-lifting portion for lifting the user's back, a bed-floor support body supporting the bed floor, and a back-lifting driver for lifting the head side of the back-lifting portion. The back-lifting portion includes a back-receiving surface and a head-receiving surface tiltable at different angles. The back-lifting driver lifts the back-receiving surface and the head-receiving surface, satisfying Mathematical Formula (1):0°<θx≦70°, −45°≦θy<0°, and −30°≦θx+θy   (1)where θx is the tilt angle of the back-receiving surface when tilted, and the tilt angle of the back-receiving surface when the back-receiving surface is not lifted is set to be 0°; and θy is the tilt angle of the head-receiving surface when the angle of an extended line of the back-receiving surface at the tilt angle θx is referred to as 0°.

A system and a method for scrambling data according to a map, which is preferably user-defined, such that the sequential order in which the data must be read is determined by the map. Rather than employing a mathematical formula to scramble the data, the data is separated into a plurality of fragments. A map is then selected for determining the order of the fragments, such that without the map, the fragments cannot be assembled in the correct order. The process of arranging the fragments such that they cannot be correctly read without the map is referred to herein as “scrambling”, as opposed to encryption, as this process does not use a mathematical formula.

The invention provides a method for analyzing and recognizing the structure of a handwritten mathematical formula in a natural scene image. The method comprises the steps of S1, converting the gray matrix of a natural scene image into a local contrast matrix, and conducting the binary classification on the local contrast matrix based on the otsu method to obtain a binary matrix; S2, analyzing the connected domains of the binary matrix obtained in the step S1, and removing non-character type connected domains to obtain character type connected domains; S3, detecting formula structural elements and other special structural elements in the character type connected domains based on the correlation coefficient method, and separately marking out all detected special structural elements; S4, dividing the binary matrix obtained in the step S1 based on the horizontal projection method; S5, recognizing each character type connected domain via a convolutional neural network; S6, defining an output sequence and outputting recognized results according to the corresponding sequence in the latex layout format. According to the technical scheme of the invention, by means of the method, the expression problem of elementary mathematical formulas during the OCR recognition process can be effectively solved.

A system and methods for estimating the size of a parcel based on a mathematical formula derived from other parcels within a size category. The system may include a variety of modules in communication with a relational database for storing data related to parcels being delivered. Similar data may be retrieved from a variety of sources with embodiments of the present invention prioritizing the data based on the reliability of the source. In a further aspect, equipment needs are forecasted by evaluating parcel data over a period of time.

Systems and methods are provided for detecting the potential of a wood sample, such as a board, to stay on grade, i.e., resist warp, after it is put into service and / or its moisture has re-equilibrated with the surrounding environment. The systems and methods include various sensor technologies and subjection of obtained data to various models, algorithms, and / or other mathematical formulas.

A golf ball 2 includes a spherical core 4, a mid layer 6 outside the core 4, and a cover 8 outside the mid layer 6. The core 4 includes a spherical center 10 and an envelope layer 12 outside the center 10. At all points P included in a zone that extends over a distance range from equal to or greater than 1 mm to equal to or less than 15 mm from the central point of the core 4, the following mathematical formula is satisfied.−5<H2−H1<5In the mathematical formula, H1 indicates the JIS-C hardness at a point P1 located radially inward of each point P at a distance of 1 mm from the point P, and H2 indicates the JIS-C hardness at a point P2 located radially outward of each point P at a distance of 1 mm from the point P.

The invention discloses a method and apparatus for detecting a WebShell file. According to the method, on the basis of variable backtracking and an abstract syntax tree, webshell detection is carried out on a plurality of files in a catalogue; a suspicious file screening process, a feature matching detection process, an abstract syntax tree analysis and detection process, an irrelevant code removing process and a mathematical formula detection process are executed successively and then a determined webshell file is outputted. In addition, the detection apparatus comprises a suspicious file screening unit, a feature matching unit, an abstract syntax tree detection analysis unit, an irrelevant code removing unit, and a mathematical formula detection unit; and the units are used for realizing webshell file detection. According to the technical scheme disclosed by the invention, webshell detection can be realized comprehensively, systematically, rapid, and accurately; the detection efficiency is high; and the false alarm rate is low; and thus web service security can be guaranteed.

The invention provides a WEB-based mathematical formula editing system, which comprises an edit module, a conversion module, a communication module, a WEB server and an analysis module, wherein the edition module is used for editing a mathematical formula by inputting mathematical symbols in an edit window of a WEB browser, and the mathematical formula is represented by HTML; the conversion module is used for compressing and converting the mathematical formula into a code in a text format; the communication module is used for sending the code of the mathematic formula generated by the conversion module to the WEB server for storage; the WEB server is used for storing the code of the mathematic formula; and the analysis module is used for analyzing the code of the mathematic formula downloaded and reducing the code into the mathematic formula represented by the HTML. The mathematic formula obtained by the analysis module can be transmitted to the edit module, and is used for formula modification. The invention also provides a WEB-based mathematical formula visual editing method. The editing system is operated in the WEB browser, and a computer terminal is not required to be provided with any plug-in, so that the edition and modification of the mathematic formula are more convenient and simple.

For inserting a data object as for example a mathematical formula or special characters like Greek characters into a text document, instruction symbols representing the data object are inputted in the form of text characters into the text document. A text portion containing instruction symbols is selected, and the instruction symbols contained in the selected text portion are converted into a data object represented by the instruction symbols. The invention allows rapid input of data objects into the text document, in particular simple mathematical formulae or single special characters without entering a formula editor or the like.