"Eulerian" Pronounce,Meaning And Examples
"Eulerian" Natural Recordings by Native Speakers
"Eulerian" Meaning
Eulerian refers to a concept in mathematics and graph theory that describes a set of ways in which a graph can be traversed. It is named after the Swiss mathematician Leonhard Euler, who first studied this concept in the 18th century.
In a graph, an Eulerian path is a path that visits every edge of the graph exactly once. An Eulerian circuit is a cycle that visits every edge of the graph exactly once.
In other words, an Eulerian path is a way to traverse the graph by moving along the edges, without repeating any edge or leaving any edge unvisited. An Eulerian circuit is a path that starts and ends at the same vertex and visits every edge of the graph exactly once.
Eulerian paths and circuits are important in many areas of mathematics, computer science, and engineering, such as network analysis, computer graphics, and logistics. They are used to model and solve many real-world problems, such as finding the shortest path between two points, designing efficient communication networks, and optimizing supply chain logistics.
"Eulerian" Examples
Eulerian
A Eulerian path is a path in a graph that visits every edge exactly once.
Here are 5 usage examples:
The mathematicians spent hours tracing the Eulerian path on the complex graph, eager to discover new insights.
In the Eulerian circuit, all vertices and edges were traversed, illustrating the graph's connectivity.
The researchers used Eulerian cycles to analyze the network's stability and detect potential bottlenecks.
The team designed an Eulerian trail that visited each edge of the graph without revisiting nodes.
By examining the Eulerian graph, the scientists were able to reconstruct the historical events of the ancient civilization.
"Eulerian" Similar Words
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Eukaryotic
Eukaryotic refers to cells that have a true nucleus, where their genetic material is contained within a membrane-bound nucleus. This is in contrast to prokaryotic cells, which lack a nucleus and have a single circular chromosome floating in the cytoplasm. The term "eukaryotic" comes from the Greek words "eu" meaning "true" and "karyon" meaning "nucleus". Eukaryotes include animals, plants, fungi, and protists, which are all complex life forms that have evolved from a common ancestor.
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Eulogic
Eulogic refers to something that is characterized by or resembles a eulogy, which is a speech or written tribute to a person who has died, praising their life and virtues. Eulogic can also describe something that is praise-worthy, laudatory, or expressively celebratory.
Eulogical
Eulogical refers to or relating to a eulogy, which is a speech or written tribute that is delivered or written in praise of somebody who has recently died. A eulogical tone is often characterized by words of admiration, respect, and fond remembrance.
Eulogies
Eulogies are speeches or written tributes that honor and praise the life and achievements of a deceased person, typically delivered at a funeral or memorial service. They are a way to celebrate the person's life, share fond memories and emphasize their positive impact on others.
Eulogise
To eulogize means to deliver a formal and often emotional speech in praise of someone or something, typically after their death. It is a way of paying tribute to a person's life and accomplishments, usually in a funeral or memorial service. The speaker may highlight the person's positive qualities, achievements, and contributions, and express their appreciation and admiration for them.
Eulogised
To eulogise means to praise or honor someone who has died, usually in a formal speech or written tribute. It can also refer to a speech or written tribute itself, which is a formal expression of praise and admiration for the person's life and qualities.
Eulogises
To eulogise means to deliver a speech or a written tribute that is a respectful and often eloquent expression of praise and admiration, typically spoken at a funeral or memorial service, celebrating the life and achievements of someone who has died.
Eulogising
Eulogising is the act of giving a eulogy, which is a formal speech or written tribute praising the deceased and reflecting on their life, achievements, and legacy, typically spoken or written at a funeral or memorial service. It is a way of honoring and celebrating the person who has passed away, and is often used to express condolences and offer words of comfort to their loved ones.