Background for convergent
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convergent

/kənˈvɜːrdʒənt/ /kənˈvɜrdʒənt/

Meanings
noun
The rational number obtained when a continued fraction has been terminated after a finite number of terms.

Examples :

"Each convergent of the continued fraction approximation of pi provides a progressively more accurate, though still rational, value for the irrational number. "
math number

Related Words

Illustration terminated

terminated verb

/ˈtɜːmɪneɪtɪd/ /ˈtɝmɪneɪtɪd/

To end, especially in an incomplete state.

"to terminate a surface by a line"

Illustration converges

converges verb

/kənˈvɜrdʒɪz/ /kənˈvɜrdʒəs/

Of two or more entities, to approach each other; to get closer and closer.

"The two roads converges a mile ahead, so we'll be on the same road soon. "

Illustration rational

rational noun

/ˈɹæʃ(ə)nəl/

A rational number: a number that can be expressed as the quotient of two integers.

"The quotient of two rationals is again a rational."

Illustration achieving

achieving verb

/əˈtʃiːvɪŋ/

To succeed in something, now especially in academic performance.

"Maria is achieving excellent grades in her math class this semester. "

Illustration accurate

accurate adjective

/ˈæk.jə.ɹɪt/

Telling the truth or giving a true result; exact; not defective or faulty

"accurate knowledge"

Illustration provides

provides verb

/pɹəˈvaɪdz/

To make a living; earn money for necessities.

"It is difficult to provide for my family working on minimum wage."

Illustration progressively

progressively adverb

/prəˈɡrɛsɪvli/ /proʊˈɡrɛsɪvli/

In a progressive manner.

"The child's reading skills improved progressively throughout the year. "

Illustration continued

continued verb

/kənˈtɪnjuːd/

To proceed with (doing an activity); to prolong (an activity).

"Do you want me to continue to unload these?"

Illustration irrational

irrational noun

/ɪˈɹæʃ.(ə.)nəl/

A real number that can not be expressed as the quotient of two integers, an irrational number.

"Pi is an irrational number. "

Illustration obtained

obtained verb

/əbˈteɪnd/

To get hold of; to gain possession of, to procure; to acquire, in any way.

"She obtained her driver's license after passing the driving test. "

Illustration fraction

fraction noun

/ˈfɹæk.ʃən/

A part of a whole, especially a comparatively small part.

"The fraction of the pie left was very small; only a tiny bit remained. "

Illustration approximation

approximation noun

/əˌpɹɒksɪˈmeɪʃn/ /əˌpɹɑksɪˈmeɪʃn/

The act, process or result of approximating.

"The carpenter's initial measurement was just an approximation; he needed to measure more precisely to cut the wood correctly. "