"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.
This interactive voice response (IVR) flowchart sample shows the store reporting process flow.
"Call centers use IVR systems to identify and segment callers. The ability to identify customers allows services to be tailored according to the customer profile. The caller can be given the option to wait in the queue, choose an automated service, or request a callback. The system may obtain caller line identification (CLI) data from the network to help identify or authenticate the caller. Additional caller authentication data could include account number, personal information, password and biometrics (such as voice print).
When an IVR system answers multiple phone numbers the use of DNIS ensures that the correct application and language is executed. A single large IVR system can handle calls for thousands of applications, each with its own phone numbers and script.
IVR also enables customer prioritization. In a system wherein individual customers may have a different status the service will automatically prioritize the individual's call and move customers to the front of a specific queue. Prioritization could also be based on the DNIS and call reason." [Interactive voice response. Wikipedia]
The IVR diagram example "Store reporting flowchart" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Interactive Voice Response Diagrams solution from the Computer and Networks area of ConceptDraw Solution Park.
"Call centers use IVR systems to identify and segment callers. The ability to identify customers allows services to be tailored according to the customer profile. The caller can be given the option to wait in the queue, choose an automated service, or request a callback. The system may obtain caller line identification (CLI) data from the network to help identify or authenticate the caller. Additional caller authentication data could include account number, personal information, password and biometrics (such as voice print).
When an IVR system answers multiple phone numbers the use of DNIS ensures that the correct application and language is executed. A single large IVR system can handle calls for thousands of applications, each with its own phone numbers and script.
IVR also enables customer prioritization. In a system wherein individual customers may have a different status the service will automatically prioritize the individual's call and move customers to the front of a specific queue. Prioritization could also be based on the DNIS and call reason." [Interactive voice response. Wikipedia]
The IVR diagram example "Store reporting flowchart" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Interactive Voice Response Diagrams solution from the Computer and Networks area of ConceptDraw Solution Park.
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