"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.
"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
Flowcharts are the best for visually representation the business processes and the flow of a custom-order process through various departments within an organization. ConceptDraw PRO diagramming and vector drawing software extended with Flowcharts solution offers the full set of predesigned basic flowchart symbols which are gathered at two libraries: Flowchart and Flowcharts Rapid Draw. Among them are: process, terminator, decision, data, document, display, manual loop, and many other specific symbols. The meaning for each symbol offered by ConceptDraw gives the presentation about their proposed use in professional Flowcharts for business and technical processes, software algorithms, well-developed structures of web sites, Workflow diagrams, Process flow diagram and correlation in developing on-line instructional projects or business process system. Use of ready flow chart symbols in diagrams is incredibly useful - you need simply drag desired from the libraries to your document and arrange them in required order. There are a few serious alternatives to Visio for Mac, one of them is ConceptDraw PRO. It is one of the main contender with the most similar features and capabilities.Diagram Flow Chart
ConceptDraw PRO is a software for producing flow charts.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.Flow Chart Design - How to Design a Good Flowchart
Use ConceptDraw PRO 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.How to Discover Critical Path on a Gantt Chart
ConceptDraw PROJECT is the Gantt chart software that implements critical path method to provide the user with a wide set of project management tools.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 PRO 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 PRO 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 PRO software for Mac and PC to experience the powerful possibilities of ConceptDraw PRO in designing the Flowcharts, Flow Diagrams, Business Flow Charts of different types, styles, and degree of complexity.Creating a Simple Flowchart
ConceptDraw PRO the best professional flowchart software that gives users the ability to simply draw any type of flowchart."Workflow components.
A workflow can usually be described using formal or informal flow diagramming techniques, showing directed flows between processing steps. Single processing steps or components of a workflow can basically be defined by three parameters:
(1) input description: the information, material and energy required to complete the step,
(2) transformation rules, algorithms, which may be carried out by associated human roles or machines, or a combination,
(3) output description: the information, material and energy produced by the step and provided as input to downstream steps.
Components can only be plugged together if the output of one previous (set of) component(s) is equal to the mandatory input requirements of the following component. Thus, the essential description of a component actually comprises only in- and output that are described fully in terms of data types and their meaning (semantics). The algorithms' or rules' description need only be included when there are several alternative ways to transform one type of input into one type of output – possibly with different accuracy, speed, etc.
When the components are non-local services that are invoked remotely via a computer network, such as Web services, additional descriptors (such as QoS and availability) also must be considered." [Workflow. Wikipedia]
The workflow diagram template for the ConceptDraw PRO diagramming and vector drawing software is included in the Workflow Diagrams solution from the Business Processes area of ConceptDraw Solution Park.
A workflow can usually be described using formal or informal flow diagramming techniques, showing directed flows between processing steps. Single processing steps or components of a workflow can basically be defined by three parameters:
(1) input description: the information, material and energy required to complete the step,
(2) transformation rules, algorithms, which may be carried out by associated human roles or machines, or a combination,
(3) output description: the information, material and energy produced by the step and provided as input to downstream steps.
Components can only be plugged together if the output of one previous (set of) component(s) is equal to the mandatory input requirements of the following component. Thus, the essential description of a component actually comprises only in- and output that are described fully in terms of data types and their meaning (semantics). The algorithms' or rules' description need only be included when there are several alternative ways to transform one type of input into one type of output – possibly with different accuracy, speed, etc.
When the components are non-local services that are invoked remotely via a computer network, such as Web services, additional descriptors (such as QoS and availability) also must be considered." [Workflow. Wikipedia]
The workflow diagram template for the ConceptDraw PRO diagramming and vector drawing software is included in the Workflow Diagrams solution from the Business Processes area of ConceptDraw Solution Park.
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.Software development with ConceptDraw PRO
Modern software development requires creation of large amount of graphic documentation, these are the diagrams describing the work of applications in various notations and cuts, also GUI design and documentation on project management. ConceptDraw PRO technical and business graphics application possesses powerful tools for software development and designing technical documentation for object-oriented projects. Solutions included to the Software Development area of ConceptDraw Solution Park provide the specialists with possibility easily and quickly create graphic documentation. They deliver effective help in drawing thanks to the included package of templates, samples, examples, and libraries with numerous ready-to-use vector objects that allow easily design class hierarchies, object hierarchies, visual object-oriented designs, flowcharts, GUI designs, database designs, visualize the data with use of the most popular notations, including the UML and Booch notations, easy manage the development projects, automate projection and development.Samples of Flowcharting
This sample shows the Flowchart for determine is a species heterotroph or autotroph, or a subtype. This diagram has start point and end points. The diamonds on the Flowchart represent the decisions. The Flowcharts are widely used in science, analytics, government, politics, business, engineering, architecture, marketing, manufacturing, administration, etc.Flow Chart
A Flow Chart is a type of diagram which visualizes a process, algorithm of a program or workflow. The steps / operations are represented as boxes of various types and are connected by arrows which show the flow of the process. But how to design a Flow Chart fast and easy? We recommend to use a powerful ConceptDraw PRO diagramming and vector drawing software extended with Flowcharts Solution from the "Diagrams" Area of ConceptDraw Solution Park.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 PRO 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 PRO 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 PRO 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.- Flowchart And Algorithm
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