"In mathematics, the Euclidean algorithm, or Euclid's algorithm, is a method for computing the greatest common divisor (GCD) of two (usually positive) integers, also known as the greatest common factor (GCF) or highest common factor (HCF). ...

The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).

In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.

The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]

The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).

In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.

The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]

The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

## Basic Flowchart Symbols and Meaning

Flowchart Symbols and Meaning - Provides a visual representation of basic flowchart symbols and their proposed use in professional workflow diagram, standard process flow diagram and communicating the structure of a well-developed web site, as well as their correlation in developing on-line instructional projects. See flowchart's symbols by specifics of process flow diagram symbols and workflow diagram symbols.## Mathematics

Mathematics solution extends ConceptDraw PRO software with templates, samples and libraries of vector stencils for drawing the mathematical illustrations, diagrams and charts.

"In elementary algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form

ax^2+bx+c=0

where x represents an unknown, and a, b, and c are constants with a not equal to 0. If a = 0, then the equation is linear, not quadratic. The constants a, b, and c are called, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.

Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.

Quadratic equations can be solved by a process known in American English as factoring and in other varieties of English as factorising, by completing the square, by using the quadratic formula, or by graphing." [Quadratic equation. Wikipedia]

The flowchart example "Solving quadratic equation algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

ax^2+bx+c=0

where x represents an unknown, and a, b, and c are constants with a not equal to 0. If a = 0, then the equation is linear, not quadratic. The constants a, b, and c are called, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.

Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.

Quadratic equations can be solved by a process known in American English as factoring and in other varieties of English as factorising, by completing the square, by using the quadratic formula, or by graphing." [Quadratic equation. Wikipedia]

The flowchart example "Solving quadratic equation algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

## Diagram Flow Chart

ConceptDraw PRO is a software for producing flow charts. The software delivers built-in object libraries with vector stencils that allows you to use RapidDraw technology. By clicking on direction arrows one can add a new object to flowchart. Users can start drawing their own flowchart diagrams in fast and simple way.## Basic Diagramming

Mathematical Drawing Software - Draw mathematical illustration diagrams easily from examples and templates!## Types of Flowcharts

A Flowchart is a graphically representation of the process, algorithm or the step-by-step solution of the problem. There are ten types of Flowcharts. Using the Flowcharts solution from the Diagrams area of ConceptDraw Solution Park you can easy and quickly design the Flowchart of any of these types.## Process Flowchart

ConceptDraw is Professional business process mapping software for making process flow diagram, workflow diagram, general flowcharts and technical illustrations for business documents. It is includes rich examples, templates, process flowchart symbols. ConceptDraw flowchart maker allows you to easier create a process flowchart. Use a variety of drawing tools, smart connectors, flowchart symbols and shape libraries to create flowcharts of complex processes, process flow diagrams, procedures and information exchange.## Flowcharts

The Flowcharts solution for ConceptDraw PRO is a comprehensive set of examples and samples in several varied color themes for professionals that need to represent graphically a process. Solution value is added by the basic flow chart template and shapes' libraries of flowchart notation. ConceptDraw PRO flow chart creator lets one depict the processes of any complexity and length, as well as design the Flowchart either vertically or horizontally.

## Simple Flow Chart

ConceptDraw PRO diagramming and vector drawing software extended with Flowcharts Solution from the 'Diagrams' area of ConceptDraw Solution Park is a powerful tool for drawing Flow Charts of any complexity you need. Irrespective of whether you want to draw a Simple Flow Chart or large complex Flow Diagram, you estimate to do it without efforts thanks to the extensive drawing tools of Flowcharts solution, there are professional flowchart symbols and basic flowchart symbols. This sample shows the Gravitational Search Algorithm (GSA) that is the optimization algorithm.## Types of Flowchart - Overview

When designing a process or an instruction in clear way, you should consider creating a flowchart. A Process Flow Diagram is the method. You can avoid wasting a lot of time understanding complex concepts as they get clear with different diagrams.## Horizontal Flowchart

This sample was created in ConceptDraw PRO diagramming and vector drawing software using the Flowcharts solution from the Diagrams area of ConceptDraw Solution Park.A Flowchart is a graphically representation of the process, algorithm or the step-by-step solution of the problem. The Flowcharts have one or more starting and ending points. The geometric figures on the Flowcharts represent the steps of the process and are connected with arrows that show the sequence of the actions.

## Flow Chart Symbols

ConceptDraw PRO software extended with Flowcharts Solution from the "Diagrams" Area is a powerful software that will help you design the flowcharts for any business and technical processes, and software algorithms thanks to the predesigned flow chart symbols. Flowcharts solution offers 2 libraries with large collection of vector flow chart symbols: Flowchart Library, Flowcharts Rapid Draw Library that you can use to create your flowcharts quick and easy. Flowchart Solution is number of diagraming stencils including special set of flow chart symbols such as: terminator, process, decision which indicates a decision points between two or more paths in a flowchart, symbol of delay. Major symbols includes symbol of data, document or multiple documents, subroutine, preparation for processing of documents. Also includes symbols: display, manual input, manual loop, loop limit, stored data,connectors and suming junctions, sort and merge operations, symbols of database and internal stor## Simple Drawing Applications for Mac

ConceptDraw gives the ability to draw simple diagrams like flowcharts, block diagrams, bar charts, histograms, pie charts, divided bar diagrams, line graphs, area charts, scatter plots, circular arrows diagrams, Venn diagrams, bubble diagrams, concept maps, and others.- Mathematical Example Of Algorithm And Flowchart
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