"Cardinalities" Pronounce,Meaning And Examples

"Cardinalities" Natural Recordings by Native Speakers

Cardinalities
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"Cardinalities" Meaning

Cardinalities refers to the number of elements in a set or the size of a mathematical structure, such as a group, ring, or vector space. It is a fundamental concept in mathematics, particularly in set theory, algebra, and geometry. In essence, cardinalities describe how many elements are present in a particular mathematical structure, allowing mathematicians to compare and analyze them.

"Cardinalities" Examples

Usage Examples for "Cardinalities"


1. In set theory

The cardinalities of the sets A and B are both countable, but their Cartesian product is uncountable.

2. In mathematics

The cardinalities of the real and rational numbers are often referred to as the cardinality of the continuum and the cardinality of the integers, respectively.

3. In mathematics

The cardinalities of the subsets of the natural numbers are often studied in set theory, particularly in the context of the continuum hypothesis.

4. In statistics

The cardinalities of the events in a probability space are used to calculate the probability of events or the size of a population.

5. In computer science

The cardinalities of the relations in a database are used to determine the number of tuples that satisfy a given condition.

"Cardinalities" Similar Words

Cardiganshire

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Cardiganshire is a former administrative county in west-central Wales, named after Cardigan, its county town. It was a subdivision of the historic county of Dyfed and was abolished in 1974 and replaced by Powys and Ceredigion.

Cardiidae

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Cardimelech

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I apologize, but I couldn't find any commonly used English word that matches the spelling "cardimelech". It's possible that it's a proper noun, a technical term, or a made-up word. Can you please provide more context or information about where you encountered this word?

Cardin

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Cardin is a surname that is of French origin. It is derived from the medieval personal name Ardoin or Harduin, which is composed of the Germanic elements "hard" meaning "brave" and "uin" meaning "shire" or "district".

Cardinal

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The word "cardinal" refers to a high-ranking ecclesiastical official in the Catholic Church, equivalent to an archbishop. It can also refer to a bird, specifically the northern cardinal, a common songbird in North America. Additionally, in statistics, a cardinal number is a number that expresses quantity or quantity, such as "one", "two", "three", etc., as opposed to an ordinal number that expresses order or position.

Cardinalate

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Cardinalidae

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Cardinalidae is a family of birds that includes cardinals, grosbeaks, buntings, and orioles. It is a group of medium-sized birds, typically with vibrant plumage and distinctive beaks. The family is found primarily in North and South America, with some species migrating to Central America and the Caribbean.

Cardinalitial

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Cardinalitial refers to the quality of being cardinal, which means being of the highest order or having the greatest importance. It can also imply being of a fundamental or central nature, as if a cardinal number or principle.

Cardinality

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Cardinally

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Cardinals

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Cardinals are high-ranking bishops in the Catholic Church, typically wearing red vestments and holding important administrative positions. The term can also refer to the bright red plumage of the northern cardinal, a type of bird native to North America.

Carding

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Carding is a technique used to clean, process, or pretreat wool, silk, or other fibers to remove impurities, tangles, or knots. It is often used in the textile industry, particularly in the production of yarns, fabrics, and other textile products.

Cardio-

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The prefix "cardio-" comes from the Greek word "kardia", meaning heart. In medical and scientific contexts, it is often used to mean relating to the heart or cardiovascular system. For example:<br><br> Cardiology is the branch of medicine that deals with the diagnosis, treatment, and prevention of disorders affecting the heart and blood vessels.<br> Cardiovascular refers to the heart and blood vessels, such as cardiovascular disease or cardiovascular exercise.<br><br>In everyday language, the term "cardio" is often used informally to refer to physical exercise that raises the heart rate, such as running, cycling, or swimming, which is designed to improve cardiovascular fitness.

Cardio-angiogram

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Cardioactive

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Cardioactive refers to substances or agents that have a stimulating effect on the heart, increasing its rate and strength of contraction. These substances can be found in certain foods, such as coffee, tea, and chocolate, or may be administered as medicines to treat conditions like heart failure or certain types of arrhythmia.

Cardioangiogram

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A cardiovascular examination or a cardiovascular study, typically an X-ray that shows the movement of the blood flow through the blood vessels of the heart.