"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.
Types of Flowcharts
A Flowchart is a graphical representation of process, algorithm, workflow or step-by-step solution of the problem. It shows the steps as boxes of various kinds and connects them by arrows in a defined order depicting a flow. There are twelve main Flowchart types: Basic Flowchart, Business Process Modeling Diagram (BPMN), Cross Functional Flowchart, Data Flow Diagram (DFD), IDEF (Integrated DEFinition) Flowchart, Event-driven Process Chain (EPC) Diagram, Influence Diagram (ID), Swimlane Flowchart, Process Flow Diagram (PFD), Specification and Description Language (SDL) Diagram, Value Stream Mapping, Workflow Diagram. Using the Flowcharts solution from the Diagrams area of ConceptDraw Solution Park you can easy and quickly design a Flowchart of any of these types. This solution offers a lot of special predesigned vector symbols for each of these widely used notations. They will make the drawing process of Flowcharts much easier than ever. Pay also attention for the included collection of ready Flowchart examples, samples and quick-start templates. This is business process improvement tools. If you are looking for MS Visio for your Mac, then you are out of luck, because it hasn't been released yet. However, you can use Visio alternatives that can successfully replace its functions. ConceptDraw DIAGRAM is an alternative to MS Visio for Mac that provides powerful features and intuitive user interface for the same.Flowchart Software
The Flowcharts are popular and widely used for designing, documenting, managing and analyzing the complex processes and programs in various fields, such as science, business, engineering, architecture, manufacturing, administration, and many others. To design professional looking Flowchart Diagrams we recommend to use the ConceptDraw DIAGRAM diagramming and vector drawing software extended with set of Flowchart maker solutions from the Diagrams, Finance and Accounting, Marketing, and Business Processes areas of ConceptDraw Solution Park. ConceptDraw DIAGRAM flowchart software is rich for the libraries of ready-to-use predesigned vector flowchart objects, templates, samples and examples, which make it the best choice for designing the Flowcharts of any type and style. Besides, the ConceptDraw documents with Flowchart Diagrams are vector graphic documents, available for reviewing, modifying and converting to different popular formats: image, HTML, PDF file, MS PowerPoint Presentation, Adobe Flash or MS Visio XML.Examples of Flowcharts, Org Charts and More
ConceptDraw DIAGRAM covers a broad spectrum of business graphics categories and offers at ConceptDraw STORE enormous online collection of pictorial examples and samples for different thematics and application areas. It is a plentiful source of inspiration and wonderful examples of professionally designed diagrams, flowcharts, UML diagrams, organizational charts, databases, ERDs, network diagrams, business charts, different thematic charts, schematics, infographics and plans developed specially for knowledge workers, engineers, managers, businessmen, marketing specialists, analytics, scientists, students, professors, journalists and also for a large number of other people that every day use various diagrams and drawings in their work and life activity. Each of these examples is a real art, all they are well thought-out and designed without efforts with help of powerful tools of ConceptDraw DIAGRAM software. ConceptDraw examples display all variety of tasks, possibilities and results that ConceptDraw Product Line lets achieve fast and easy. ConceptDraw is one of the best Visio alternatives for Mac. It open all Visio formats like.vsdx,.vss,.vdx files and allows you to export files to Visio formats."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.
Flowchart Software
A Flowchart visualizes a process or algorithm of a program as step blocks composed of shapes, connected with arrows that show the process flow direction. The Flowcharts give users the ability to represent structural data in a visual form and are widely used to visualize the business and technical processes, as well as software algorithms. ConceptDraw DIAGRAM is a powerful Mac OS X and Windows technical diagramming, business diagramming and flowchart drawing software. Numerous vector stencils, built-in templates and samples created by professional designers are included at the basic package. ConceptDraw DIAGRAM is a classic flowchart maker, which exactly follows the industry standards and provides ready-to-use flowchart symbols gathered at the solutions of ConceptDraw Solution Park. Use the free trial versions of ConceptDraw DIAGRAM software for Mac and PC to experience the powerful possibilities of ConceptDraw DIAGRAM in designing the Flowcharts, Flow Diagrams, Business Flow Charts of different types, styles, and degree of complexity. Flowchart Design Flowchart Symbols, Shapes, Stencils and Icons
A flowchart is a type of diagram which represents an algorithm, process or workflow, displays the steps as boxes of various kinds and depicts their order by connecting them with arrows. Any business graphic document will be more colorful and understandable if will use professional-looking and visual diagrams and flowcharts. Flowchart design gives versatile presenting and explaining of the process.
ConceptDraw DIAGRAM flowchart software enhanced with Flowcharts solution helps effectively make Flowchart Design. Use of predesigned flowchart symbols and bright color palette offers a fresh view and favorably distinguishes the flowcharts designed in ConceptDraw DIAGRAM from the black and white flowcharts on a paper. Preferably to use no more than three or four colors and apply identical for the same shape types. The best flowchart design can be achieved by starting with Flowchart template, or any of suitable ready examples or samples offered in ConceptDraw STORE, open one of them and enter the proper text into each Flowchart shape.
Each symbol of the flowchart has a definition that can't be changed. This means that all flowcharts shapes can be grouped in according to their meaning. Users with ConceptDraw DIAGRAM flowchart software can style groups of symbols with close definitions by color sets chosen from complementary palette.
Almost all workflows can be depicted as a flowchart. Colored diagrams are more light for perception of the certain information, this is part of flowchart design. Bright colors need to be used in the key points of Decision symbols, to focus attention on their importance for whole process flow.
Horizontal Flowchart
This sample was created in ConceptDraw DIAGRAM 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.This medical flowchart sample shows assessment and treatment algorithm for overweight and obesity.
It was drawn on the base of Wikimedia Commons file: Assessment and treatment algorithm for overweight and obesity.png. [commons.wikimedia.org/ wiki/ File:Assessment_ and_ treatment_ algorithm_ for_ overweight_ and_ obesity.png]
"A medical algorithm is any computation, formula, statistical survey, nomogram, or look-up table, useful in healthcare. Medical algorithms include decision tree approaches to healthcare treatment (e.g., if symptoms A, B, and C are evident, then use treatment X) and also less clear-cut tools aimed at reducing or defining uncertainty." [Medical algorithm. Wikipedia]
The medical flow chart example "Assessment and treatment algorithm for overweight and obesity" was designed using ConceptDraw PRO software extended with Healthcare Workflow Diagrams solution from Business Processes area of ConceptDraw Solution Park.
It was drawn on the base of Wikimedia Commons file: Assessment and treatment algorithm for overweight and obesity.png. [commons.wikimedia.org/ wiki/ File:Assessment_ and_ treatment_ algorithm_ for_ overweight_ and_ obesity.png]
"A medical algorithm is any computation, formula, statistical survey, nomogram, or look-up table, useful in healthcare. Medical algorithms include decision tree approaches to healthcare treatment (e.g., if symptoms A, B, and C are evident, then use treatment X) and also less clear-cut tools aimed at reducing or defining uncertainty." [Medical algorithm. Wikipedia]
The medical flow chart example "Assessment and treatment algorithm for overweight and obesity" was designed using ConceptDraw PRO software extended with Healthcare Workflow Diagrams solution from Business Processes area of ConceptDraw Solution Park.
Ordering Process Flowchart. Flowchart Examples
A flowchart is a widely used type of diagram that visually represents an algorithm, workflow or process, using the boxes of various kinds to depict the steps and connecting them with arrows to show the order of execution these steps. Еhe ConceptDraw DIAGRAM supplied with Accounting Flowcharts Solution from the Finance and Accounting Area of ConceptDraw Solution Park is a powerful diagramming and vector drawing software which ideally suits for designing Ordering Process Flowchart of any complexity.Ordering Process Flowchart. Flowchart Examples
A flowchart is a widely used type of diagram that visually represents an algorithm, workflow or process, using the boxes of various kinds to depict the steps and connecting them with arrows to show the order of execution these steps. Еhe ConceptDraw DIAGRAM supplied with Accounting Flowcharts Solution from the Finance and Accounting Area of ConceptDraw Solution Park is a powerful diagramming and vector drawing software which ideally suits for designing Ordering Process Flowchart of any complexity.Flow Chart Diagram Examples
Draw your own business process flowcharts using ConceptDraw DIAGRAM diagramming and business graphics software.Diagramming Software for Design UML Component Diagrams
UML Component Diagram illustrate how components are wired together to larger components and software systems that shows the structure of arbitrarily complex systems. ConceptDraw Rapid UML solution delivers libraries contain pre-designed objects fit UML notation, and ready to draw professional UML Component Diagram.Social Media Flowchart Symbols
Social media is a popular view of mass communication which allows people, companies and organizations create, share, discover, modify, access, comment, discuss and exchange information through the Internet. Social Media Response solution for ConceptDraw DIAGRAM provides collection of 10 libraries with diversity of predesigned vector social media flowchart symbols for fast and easy creating interactive Social Media Flowcharts, Response Charts and Action Mind Maps.How to Build a Flowchart
The ConceptDraw DIAGRAM is a professional software for quick creating great looking flowcharts. The vector stencils from object libraries allows you to use RapidDraw technology. By the clicking on direction arrows one can add new object to flowcharts. This technology gives to users the ability to fast creating visualization for the structural data. Learn the basics of flowcharting and see how to build create a flowchart using ConceptDraw automatic drawing tools.TQM Diagram Example
The Total Quality Management Diagram solution helps you and your organization visualize business and industrial processes. Create Total Quality Management diagrams for business process with ConceptDraw software.Create Flowchart - Making a Flowchart
The Flowchart is a very popular type of diagram, it is widely used for analyzing, designing, managing and visualizing the business and technical processes, various software algorithms. But how to create Flowchart quick and easy? Flowcharts solution from the Diagrams area of ConceptDraw Solution Park helps you to design the professional looking Flowchart Diagrams quick and easy using the ConceptDraw DIAGRAM diagramming and vector drawing software.Simple Flow Chart
ConceptDraw DIAGRAM 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.Flow Chart Design — How to Design a Good Flowchart
Use ConceptDraw DIAGRAM business diagramming and business graphics software for general diagramming purposes, it inludes tousands colored professional flowchart symbols, examples and samples which saves time when you prepare documents, professional presentations or make an explanation of process flow diagram.Diagram Flow Chart
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