"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 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.Basic Diagramming
Mathematical Drawing Software - Draw mathematical illustration diagrams easily from examples and templates!Mathematics
Mathematics solution extends ConceptDraw PRO software with templates, samples and libraries of vector stencils for drawing the mathematical illustrations, diagrams and charts.
Mathematics Symbols
ConceptDraw PRO extended with Mathematics solution from the Science and Education area is a powerful diagramming and vector drawing software that offers all needed tools for mathematical diagrams designing.Mathematics solution provides 3 libraries with predesigned vector mathematics symbols and figures:
Solid Geometry Library, Plane Geometry Library and Trigonometric Functions Library.
Basic Diagramming Flowchart Software
ConceptDraw PRO is a powerful intelligent vector graphics tool for drawing flowcharts.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.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.
Best Vector Drawing Application for Mac OS X
ConceptDraw PRO creates drawings, diagrams and charts with great visual appeal in Mac OS X.Best Multi-Platform Diagram Software
ConceptDraw PRO is a powerful tool for drawing business communication ideas and concepts, simple visual presentation of numerical data in the Mac environment.Mathematical Diagrams
ConceptDraw PRO diagramming and vector drawing software extended with Mathematics solution from the Science and Education area is the best for creating: mathematical diagrams, graphics, tape diagrams various mathematical illustrations of any complexity quick and easy.Mathematics solution provides 3 libraries: Plane Geometry Library, Solid Geometry Library, Trigonometric Functions Library.
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.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.- Solving quadratic equation algorithm - Flowchart | Mathematics ...
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