"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.
"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.
Basic Diagramming
Mathematics is an exact science, which studies the values, spatial forms and quantitative relations. It is a science, in which is built large number of various diagrams, charts and graphs that present the material in a clear, visual and colorful form, help to analyze the information and to make certain conclusions. A diagram is a graphical representation of data using the linear segments or geometric shapes, which allows to evaluate the ratio of several values. Depending on the types of solved tasks are used the diagrams of different kinds. A graph is a diagram that shows quantitative dependencies of various processes using the curves. ConceptDraw PRO is a powerful intelligent and multifunctional vector engine for drawing different Mathematical diagrams and graphs, Mathematical illustrations, complex and simple Diagram mathematics, Flowcharts of equation solving process, Line graphs, Scatter plots, Histograms, Block diagrams, Bar charts, Divided bar diagrams, Pie charts, Area charts, Circular arrows diagrams, Venn diagrams, Bubble diagrams, Concept maps, and many others.Types of Flowchart - Overview
When designing a process or an instruction in clear and understandable way, you should consider creating a flowchart. You can avoid spending a lot of time understanding complex concepts as they get clear with different diagrams. The flowcharts are very popular diagram type, they are useful at different fields from the description business processes to the presentation of cooking recipes. Basic Flowchart, Business Process Modeling Diagram, Process Flowchart, Cross Functional Flowchart, Procedure Flowchart, Data Flow Diagram, IDEF Flowchart, SDL Diagram, Workflow Diagram, Document Flowchart, Program Flowchart, Value Stream Map, System Flowchart, Highlight Flowchart, Sales Flowchart are the main types flowchart. The ConceptDraw PRO is one of the professional applications which has great advantages and using which you can create different types of Flowcharts easy and fast. Try to draw an illustrative and comprehensible diagram in ConceptDraw PRO describing the processes instead of writing complex long text and make sure how it is convenient. Visio is expensive, and if you use it in a team environment, these costs are compounded. ConceptDraw PRO is an affordable alternative to Visio and luckily, it comes with a team plan. ConceptDraw PRO can import and export Visio files, so Mac users can collaborate with PC users stuck on Microsoft's software.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.
Mathematics
Mathematics solution extends ConceptDraw PRO software with templates, samples and libraries of vector stencils for drawing the mathematical illustrations, diagrams and charts.
HelpDesk
How to Draw Geometric Shapes in ConceptDraw PRO
Knowledge of geometry grants people good logic, abstract and spatial thinking skills. The object of study of geometry are the size, shape and position, the 2-dimensional and 3-dimensional shapes. Geometry is related to many other areas in math, and is used daily by engineers, architects, designers and many other professionals. Today, the objects of geometry are not only shapes and solids. It deals with properties and relationships and looks much more about analysis and reasoning. Geometry drawings can be helpful when you study the geometry, or need to illustrate the some investigation related to geometry. ConceptDraw PRO allows you to draw plane and solid geometry shapes quickly and easily.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 PRO is an alternative to MS Visio for Mac that provides powerful features and intuitive user interface for the same.HelpDesk
How to Create a Venn Diagram in ConceptDraw PRO
Venn diagrams were invented by John Venn as a method of depicting relationships between different components. A Venn diagram consists of two or more circles. Each circle represents a specific group or set. The entities which are depicted by circles generally have some common characteristics. A Venn Diagram shows all the possible logical relations between these entities. Any properties that belong to more than one set should be indicated in the sections where the circles overlap. A Venn Diagram can be useful to visually summarize the status and future viability of a project. ConceptDraw PRO allows you to make a Venn diagrams using the Venn Diagrams solution.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.Best Vector Drawing Application for Mac OS X
ConceptDraw PRO creates drawings, diagrams and charts with great visual appeal in Mac OS X.The Best Drawing Program for Mac
ConceptDraw PRO is the professional business graphic software for drawing diagrams and charts with great visual appeal on Mac OS X.Bubble Diagrams
Bubble diagrams have enjoyed great success in software engineering, architecture, economics, medicine, landscape design, scientific and educational process, for ideas organization during brainstorming, for making business illustrations, presentations, planning, design, and strategy development. They are popular because of their simplicity and their powerful visual communication attributes.
Marketing Diagrams
Marketing Diagrams solution extends ConceptDraw PRO diagramming software with abundance of samples, templates and vector design elements intended for easy graphical visualization and drawing different types of Marketing diagrams and graphs, including Branding Strategies Diagram, Five Forces Model Diagram, Decision Tree Diagram, Puzzle Diagram, Step Diagram, Process Chart, Strategy Map, Funnel Diagram, Value Chain Diagram, Ladder of Customer Loyalty Diagram, Leaky Bucket Diagram, Promotional Mix Diagram, Service-Goods Continuum Diagram, Six Markets Model Diagram, Sources of Customer Satisfaction Diagram, etc. Analyze effectively the marketing activity of your company and apply the optimal marketing methods with ConceptDraw PRO software.
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