"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.Chemistry Equation Symbols
If you are related with chemistry in you work or education activity, you need often draw various illustrations with chemistry equations. ConceptDraw DIAGRAM diagramming and vector drawing software offers you the Chemistry solution from the Science and Education area. Chemistry solution provides the Chemical Drawings Library with large quantity of vector chemistry equation symbols to help you create professional looking chemistry diagrams quick and easy.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.Chemistry Drawings
ConceptDraw DIAGRAM diagramming and vector drawing software extended with Chemistry solution from the Science and Education area is a powerful chemistry drawing software that is ideal for quick and easy designing of various: chemistry drawings, scientific and educational chemistry illustrations, schemes and diagrams of chemical and biological lab set-ups, images with chemical formulas, molecular structures, chemical reaction schemes, schemes of labware, that can be then successfully used in the field of science and education, on various conferences, and so on.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.Physics Symbols
ConceptDraw DIAGRAM diagramming and vector drawing software extended with Physics solution from the Science and Education area is a powerful software for creating various physics diagrams. Physics solution provides all tools that you can need for physics diagrams designing. It includes 3 libraries with predesigned vector physics symbols: Optics Library, Mechanics Library and Nuclear Physics Library.Polar Graph
This sample shows the Polar Graph. The Polar Graph is a graph in the polar coordinate system in which the each point on the plane is defined by two values - the polar angle and the polar radius. The certain equations have very complex graphs in the Cartesian coordinates, but the application of the polar coordinate system allows usually produce the simple Polar Graphs for these equations.Chemistry Drawing Software
ConceptDraw DIAGRAM extended with Chemistry solution from the Science and Education area is a powerful chemistry drawing software that provides the useful tools to help you design all kinds of chemistry drawings and illustrations, chemical schemes and diagrams of formulas, reaction schemes and lab set-ups of any complexity.Process Flow Diagram Symbols
Chemical and Process Engineering Solution from the Industrial Engineering Area of ConceptDraw Solution Park is a unique tool which contains variety of predesigned process flow diagram symbols for easy creating various Chemical and Process Flow Diagrams in ConceptDraw DIAGRAM.Organic Chemistry Symbols
ConceptDraw DIAGRAM diagramming and vector drawing software extended with Chemistry solution from the Science and Education area of ConceptDraw Solution Park is effective for drawing various organic chemistry schemes, diagrams, illustrations thanks to the included collection of predesigned organic chemistry symbols.Best Mind Mapping Program for Making Presentations
ConceptDraw MINDMAP with the ability to import presentations from Microsoft PowerPoint, as well as enhancing its existing presentation capabilities.Mathematics
Mathematics solution extends ConceptDraw DIAGRAM software with templates, samples and libraries of vector stencils for drawing the mathematical illustrations, diagrams and charts.
This work flow chart sample was redesigned from the picture "Weather Forecast" from the article "Simulation Workflows".
[iaas.uni-stuttgart.de/ forschung/ projects/ simtech/ sim-workflows.php]
"(1) The weather is predicted for a particular geological area. Hence, the workflow is fed with a model of the geophysical environment of ground, air and water for a requested area.
(2) Over a specified period of time (e.g. 6 hours) several different variables are measured and observed. Ground stations, ships, airplanes, weather balloons, satellites and buoys measure the air pressure, air/ water temperature, wind velocity, air humidity, vertical temperature profiles, cloud velocity, rain fall, and more.
(3) This data needs to be collected from the different sources and stored for later access.
(4) The collected data is analyzed and transformed into a common format (e.g. Fahrenheit to Celsius scale). The normalized values are used to create the current state of the atmosphere.
(5) Then, a numerical weather forecast is made based on mathematical-physical models (e.g. GFS - Global Forecast System, UKMO - United Kingdom MOdel, GME - global model of Deutscher Wetterdienst). The environmental area needs to be discretized beforehand using grid cells. The physical parameters measured in Step 2 are exposed in 3D space as timely function. This leads to a system of partial differential equations reflecting the physical relations that is solved numerically.
(6) The results of the numerical models are complemented with a statistical interpretation (e.g. with MOS - Model-Output-Statistics). That means the forecast result of the numerical models is compared to statistical weather data. Known forecast failures are corrected.
(7) The numerical post-processing is done with DMO (Direct Model Output): the numerical results are interpolated for specific geological locations.
(8) Additionally, a statistical post-processing step removes failures of measuring devices (e.g. using KALMAN filters).
(9) The statistical interpretation and the numerical results are then observed and interpreted by meteorologists based on their subjective experiences.
(10) Finally, the weather forecast is visualized and presented to interested people." [iaas.uni-stuttgart.de/ forschung/ projects/ simtech/ sim-workflows.php]
The example "Workflow diagram - Weather forecast" was drawn using the ConceptDraw PRO diagramming and vector drawing software extended with the Workflow Diagrams solution from the Business Processes area of ConceptDraw Solution Park.
[iaas.uni-stuttgart.de/ forschung/ projects/ simtech/ sim-workflows.php]
"(1) The weather is predicted for a particular geological area. Hence, the workflow is fed with a model of the geophysical environment of ground, air and water for a requested area.
(2) Over a specified period of time (e.g. 6 hours) several different variables are measured and observed. Ground stations, ships, airplanes, weather balloons, satellites and buoys measure the air pressure, air/ water temperature, wind velocity, air humidity, vertical temperature profiles, cloud velocity, rain fall, and more.
(3) This data needs to be collected from the different sources and stored for later access.
(4) The collected data is analyzed and transformed into a common format (e.g. Fahrenheit to Celsius scale). The normalized values are used to create the current state of the atmosphere.
(5) Then, a numerical weather forecast is made based on mathematical-physical models (e.g. GFS - Global Forecast System, UKMO - United Kingdom MOdel, GME - global model of Deutscher Wetterdienst). The environmental area needs to be discretized beforehand using grid cells. The physical parameters measured in Step 2 are exposed in 3D space as timely function. This leads to a system of partial differential equations reflecting the physical relations that is solved numerically.
(6) The results of the numerical models are complemented with a statistical interpretation (e.g. with MOS - Model-Output-Statistics). That means the forecast result of the numerical models is compared to statistical weather data. Known forecast failures are corrected.
(7) The numerical post-processing is done with DMO (Direct Model Output): the numerical results are interpolated for specific geological locations.
(8) Additionally, a statistical post-processing step removes failures of measuring devices (e.g. using KALMAN filters).
(9) The statistical interpretation and the numerical results are then observed and interpreted by meteorologists based on their subjective experiences.
(10) Finally, the weather forecast is visualized and presented to interested people." [iaas.uni-stuttgart.de/ forschung/ projects/ simtech/ sim-workflows.php]
The example "Workflow diagram - Weather forecast" was drawn using the ConceptDraw PRO diagramming and vector drawing software extended with the Workflow Diagrams solution from the Business Processes area of ConceptDraw Solution Park.
Flowchart Software
Flowchart is a simple diagram, map or graphical schematic representation the sequence of actions within a process. It is ideal for displaying how a process currently flows or can function ideally. The Flowcharts let define the steps and boundaries of a process, uncover problems or miscommunications. The Flowcharts are widely used in education, software development, business, economics, thanks to their visuality they are ideal for presentations, reports, for using on conferences to help the audience comprehend the content better, or easy find flaws in a process flow diagrams. ConceptDraw DIAGRAM is professional flowcharts software and feature-rich flowchart maker, which supports Mac OS X and Windows. It contains at ConceptDraw Solution Park a rich set of stencils and professional flowchart symbols for design. It lets create simply professional-looking Flowcharts based on thousand free flowchart templates, colored symbols and examples. ConceptDraw DIAGRAM is a 3 times cheaper alternative to MS Visio available for both Mac and PC. It’s is another full featured business and technical diagramming application that can easily take care of Visio files within OS X. Another bonus with ConceptDraw DIAGRAM – it's cross-platform. You can work on a document in both OS X and Windows, skipping Visio entirely.- Solving quadratic equation algorithm - Flowchart | Basic Flowchart ...
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