Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Mathematical Induction

Mathematical Induction

Mathematical induction is a structured method of proof used to confirm the truth of statements involving natural numbers. Consider the sum of the first n natural numbers:This formula describes a pattern that appears to hold true as more terms are added. To verify that it is valid for all natural numbers, mathematical induction proceeds in two essential steps. The first is the base case, where the formula is tested for the initial value, typically n = 1. Substituting into both sides confirms the...

Relation between Mathematical Equations and Block Diagrams

Relation between Mathematical Equations and Block Diagrams

In a spring-mass-damper system, the second-order differential equation describes the dynamic behavior of the system. When transformed into the Laplace domain under zero initial conditions, this equation can be effectively analyzed and manipulated. The transformation into the Laplace domain converts differential equations into algebraic equations, simplifying the process of isolating the output.

Mason's Rule

Mason's Rule

Mason's rule is a powerful tool in control systems and signal processing. It simplifies the calculation of transfer functions from signal-flow graphs. This method leverages various elements, including loop gains, forward-path gains, and non-touching loops, to determine the transfer function efficiently.
Loop gain is determined by identifying and tracing a path from a node back to itself. This involves computing the product of branch gains along the loop. Each loop's gain is crucial for further...

Mathematical Modeling: Problem Solving

Mathematical Modeling: Problem Solving

Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...

Algebraic Expressions

Algebraic Expressions

Algebraic expressions are essential in mathematics. They represent relationships through variables, constants, and operations. These expressions help describe patterns and solve problems in various mathematical fields. Understanding their components, classifications, and operations allows for efficient simplification and manipulation.Each algebraic expression consists of individual parts, including numbers and symbols, that work together to form meaningful mathematical statements. The numerical...

Summation Notation

Summation Notation

Sigma notation, also known as summation notation, provides a concise method for representing the sum of a sequence of terms that follow a regular pattern. It utilizes the uppercase Greek letter sigma (∑), A typical expression is:In this form, k the index of summation is 1, the starting value, and n the ending value. The term ak represents the general term of the sequence.For example, the increasing sequence 5, 7, 9, ..., 23 over 10 terms can be expressed as:This simplifies the representation...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Summaries of the papers of the 4th National Congress of the Tunisian Society of Medical Oncology attached to the 4th Maghreb Congress of Oncology.

La Tunisie medicale·2018

Same author

Radiation Therapy for Primary Eyelid Cancers in Tunisia.

Asian Pacific journal of cancer prevention : APJCP·2016

Same author

Myeloma after local external beam radiotherapy jet: Is it a new entity?

Cancer radiotherapie : journal de la Societe francaise de radiotherapie oncologique·2013

Same author

[Adjuvant radiotherapy in patients with endometrial cancers].

Cancer radiotherapie : journal de la Societe francaise de radiotherapie oncologique·2011

Same author

[Early breast cancer without axillary lymph node involvement].

Cancer radiotherapie : journal de la Societe francaise de radiotherapie oncologique·2010

Same author

[Breast cancer with axillary lymph node involvement].

Cancer radiotherapie : journal de la Societe francaise de radiotherapie oncologique·2010

Search research articles

Related Experiment Videos

A syntactic approach for handwritten mathematical formula recognition.

A Belaid¹, J P Haton

¹Pattern Recognition and Artificial Intelligence Group, C.R.I.N., University of Nancy 1, 54506 Vandoeuvre, France.

IEEE Transactions on Pattern Analysis and Machine Intelligence

|August 27, 2011

Summary

This study introduces a syntactic parser system for interpreting 2-D mathematical formulas from graphic tablets. The system recognizes complex patterns by localizing operators and partitioning subexpressions for accurate mathematical formula recognition.

Related Experiment Videos

Area of Science:

Computer Science
Pattern Recognition
Artificial Intelligence

Background:

Mathematical formulas represent complex two-dimensional patterns.
Syntactic methods offer a robust approach for interpreting intricate visual data.
Previous research has explored syntactic parsing for speech and image interpretation.

Purpose of the Study:

To develop and present a system for the interpretation of two-dimensional (2-D) mathematical formulas.
To enable the recognition of a wide range of mathematical formulas input via a graphic tablet.
To leverage syntactic parsing techniques for enhanced pattern analysis.

Main Methods:

The proposed system utilizes a syntactic parser for 2-D mathematical formula interpretation.
Parsing initiates with the localization of the primary operator within the formula.
The system partitions the formula into subexpressions, analyzed recursively by identifying starting characters.

Main Results:

The system demonstrates the capability to recognize a large class of 2-D mathematical formulas.
Successful interpretation of complex mathematical expressions from graphic tablet input.
The syntactic approach effectively handles the structural complexity of mathematical notation.

Conclusions:

Syntactic parsing provides an effective framework for interpreting 2-D mathematical formulas.
The developed system offers a viable solution for digitizing and understanding handwritten mathematical expressions.
The methodology shows promise for applications in areas requiring complex pattern recognition.