"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.
HelpDesk
How To Create a Prioritization Matrix
Making the prioritization matrix is helpful when all cannot be done at the same time. Prioritization matrix diagram shows the relationships between factors and this helps , to prioritize tasks and resources. This helps you to narrow down variants. By selecting and weighing options you can quickly determine the best choices and direct team to the best destinations. Prioritization matrix helps to identify a best way of implementing the most priority tasks. It is helpful in a case when you have limited resources. ConceptDraw solution for management and planning compiled from the Seven Management and Planning Tools, provides the ability to quickly build Prioritization Matrix diagrams for your project using special template.HelpDesk
How To Create the Interaction (Relation) Diagram
Identify relationships between factors affecting a problem using interaction (relation) diagram. The ability to create a Relation diagram from a mind map is supported by the ConceptDraw Seven Management and Planning Tools solution.HelpDesk
How To Create an Affinity Diagram Using ConceptDraw Office
Affinity diagram is designed to prepare the data for further analysis of the cause-effect relationships.The Affinity diagram shows the structure of large, complex factors that have an influence on a problem, and then divides them up into a smaller and simpler structure. We recommend using a mind map for Brainstorming and collecting the factors affecting the problem. The ability to create an Affinity diagram from a mind map is supported by the ConceptDraw Seven Management and Planning Tools solution.HelpDesk
How to Manage Problem Solving Using Seven Management and Planning Tools
Stage by stage gouide on using visual tools to move toward solving the problem.HelpDesk
How To Create Root Cause Analysis Diagram Using ConceptDraw Office
Root Cause Analysis (RCA) is used to determine the main causes of the problem. If the certain factor is the root cause, this mean that its vanishing will help to prevent the further recurrence of the problem. Root Cause Analysis diagram is used to analyze the root causes of factors that influence the problem. It helps to identify the root causes for a factor and then propose possible corrective actions. A diagram is constructed separately for each high priority factor. The ability to create a RCA tree diagram from a mind map is supported by the ConceptDraw Seven Management and Planning Tools solution."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.
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