"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.
Mathematics
Mathematics is simply essential in many fields, such as natural science, medicine, finance, the social sciences, and engineering. Mathematicians often face the need for creating the mathematical drawings in order to explain different theories and equations. In order to make such illustrations, the ConceptDraw DIAGRAM diagramming and drawing software may be used. The Mathematics solution can be used while working in the ConceptDraw DIAGRAM application using its pre-made samples, templates, and vector shape libraries of both solid and plane geometric figures, trigonometrical functions and mathematical symbols. It may help many mathematicians to create numeral mathematical diagrams, mathematic illustrations and tape diagrams for either scientific or educational, or both purposes.
"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 DIAGRAM 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.Diagram Flow Chart
ConceptDraw DIAGRAM is a software for producing flow charts.3 Circle Venn Diagram. Venn Diagram Example
This template shows the Venn Diagram. It was created in ConceptDraw DIAGRAM diagramming and vector drawing software using the ready-to-use objects from the Business Diagrams Solution from the Management area of ConceptDraw Solution Park. Venn Diagrams visualize all possible logical intersections between several sets and are widely used in mathematics, logic, statistics, marketing, sociology, etc.Mathematics Symbols
ConceptDraw DIAGRAM 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.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 DIAGRAM 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 DIAGRAM 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 DIAGRAM is an affordable alternative to Visio and luckily, it comes with a team plan. ConceptDraw DIAGRAM can import and export Visio files, so Mac users can collaborate with PC users stuck on Microsoft's software.Software for flowchart diagrams
Software for flowchart diagrams can help you: represents an algorithm or process, illustrates a solution to a given problem, represented process operations, analyzing a business process, designing a business process, documenting a business process, optimizing a business process. The Flowcharts Solution from the "Diagrams" area of ConceptDraw Solution Park contains a wide set of predesigned templates, samples and 3 libraries.3 Circle Venn. Venn Diagram Example
This example shows the 3 Circle Venn Diagram. The Venn Diagrams visualize all possible logical intersections between several sets. On this example you can see the intersections of 3 sets. Venn Diagrams are widely used in mathematics, logic, statistics, marketing, sociology, etc.Audit Flowchart Symbols
The audit is a complex process consisting of defined quantity of steps, which have as a final goal the ensuring of success of a certain business project. It includes the independent examination of data, statements and financial performances of an enterprise for a stated purpose. It is convenient to construct the Audit Flowcharts or Audit Diagrams for visual representation and structuring the audit processes. ConceptDraw DIAGRAM diagramming software enhanced with Audit Flowcharts solution from the Finance and Accounting area of ConceptDraw Solution Park effectively helps to draw the Audit Diagrams for accounting, finance and money management, the Audit Flowcharts for fiscal information tracking, financial inventories and documenting Six Sigma, the decision making Flow Charts, etc. This solution provides the powerful drawing tools, numerous templates and samples, and large quantity of vector audit flowchart symbols that greatly facilitate the process of representation the audit steps and audit results, and designing efficient and visually appealing Audit Flowcharts.Mathematical Diagrams
ConceptDraw DIAGRAM 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.Flow Chart for Olympic Sports
Sports Selection Flow Chart - This sample was created in ConceptDraw DIAGRAM using the Flowcharts Solution from the Marketing Area and shows the Flow Chart of sport selection. An experienced user spent 10 minutes creating this sample.Wireless Network Drawing
The Wireless Network solution helps users to quickly transition from an idea to the implementation of a wireless computer network. ConceptDraw DIAGRAM is well placed to provide experienced and comprehensive assistance in the workplace. The vector stencils, examples, and templates included to solution is a strong toolset for network engineer.- Basic Diagramming | Flowcharts About Mathematics
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