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Meaning of "harmonic mean" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF HARMONIC MEAN

harmonic mean play
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GRAMMATICAL CATEGORY OF HARMONIC MEAN

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Harmonic mean is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES HARMONIC MEAN MEAN IN ENGLISH?

Harmonic mean

In mathematics, the harmonic mean is one of several kinds of average. Typically, it is appropriate for situations when the average of rates is desired. The harmonic mean H of the positive real numbers x1, x2, ..., xn > 0 is defined to be From the third formula in the above equation it is more apparent that the harmonic mean is related to the arithmetic mean and geometric mean. Equivalently, the harmonic mean is the reciprocal of the arithmetic mean of the reciprocals. As a simple example, the harmonic mean of 1, 2, and 4 is...

Definition of harmonic mean in the English dictionary

The definition of harmonic mean in the dictionary is the reciprocal of the arithmetic mean of the reciprocals of a set of specified numbers: the harmonic mean of 2, 3, and 4 is 3–1 = 36⁄13.

WORDS THAT BEGIN LIKE HARMONIC MEAN

harmonic
harmonic analysis
harmonic distortion
harmonic minor scale
harmonic motion
harmonic progression
harmonic series
harmonica
harmonical
harmonically
harmonichord
harmonicist
harmonicon
harmonics
harmonies
harmonious
harmoniously
harmoniousness
harmoniphon
harmoniphone

WORDS THAT END LIKE HARMONIC MEAN

Aramean
arithmetic mean
bemean
Cadmean
Crimean
demean
foremean
geometric mean
golden mean
mean
mean deviation from the mean
misdemean
Nemean
no mean
pygmean

Synonyms and antonyms of harmonic mean in the English dictionary of synonyms

SYNONYMS

Translation of «harmonic mean» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF HARMONIC MEAN

Find out the translation of harmonic mean to 25 languages with our English multilingual translator.
The translations of harmonic mean from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «harmonic mean» in English.

Translator English - Chinese

调和平均数
1,325 millions of speakers

Translator English - Spanish

media armónica
570 millions of speakers

English

harmonic mean
510 millions of speakers

Translator English - Hindi

हार्मोनिक मतलब
380 millions of speakers
ar

Translator English - Arabic

الوسط التوافقي
280 millions of speakers

Translator English - Russian

гармоническое среднее
278 millions of speakers

Translator English - Portuguese

média harmônica
270 millions of speakers

Translator English - Bengali

সুরেলা গড়
260 millions of speakers

Translator English - French

moyenne harmonique
220 millions of speakers

Translator English - Malay

Makna harmonik
190 millions of speakers

Translator English - German

harmonische Mittel
180 millions of speakers

Translator English - Japanese

調和平均
130 millions of speakers

Translator English - Korean

조화 평균
85 millions of speakers

Translator English - Javanese

Tegese harmonik
85 millions of speakers
vi

Translator English - Vietnamese

có nghĩa là hài hòa
80 millions of speakers

Translator English - Tamil

ஹார்மோனிக் சராசரி
75 millions of speakers

Translator English - Marathi

कर्णमधुर अर्थ
75 millions of speakers

Translator English - Turkish

Harmonik ortalama
70 millions of speakers

Translator English - Italian

media armonica
65 millions of speakers

Translator English - Polish

średnia harmoniczna
50 millions of speakers

Translator English - Ukrainian

гармонійне середнє
40 millions of speakers

Translator English - Romanian

media armonică
30 millions of speakers
el

Translator English - Greek

αρμονικός μέσος
15 millions of speakers
af

Translator English - Afrikaans

harmoniese gemiddelde
14 millions of speakers
sv

Translator English - Swedish

harmoniska medelvärdet
10 millions of speakers
no

Translator English - Norwegian

harmoniske middelverdien
5 millions of speakers

Trends of use of harmonic mean

TRENDS

TENDENCIES OF USE OF THE TERM «HARMONIC MEAN»

The term «harmonic mean» is normally little used and occupies the 108.659 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
49
/100
The map shown above gives the frequency of use of the term «harmonic mean» in the different countries.
Principal search tendencies and common uses of harmonic mean
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «harmonic mean».

FREQUENCY OF USE OF THE TERM «HARMONIC MEAN» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «harmonic mean» during the past 500 years. Its implementation is based on analysing how often the term «harmonic mean» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about harmonic mean

EXAMPLES

10 ENGLISH BOOKS RELATING TO «HARMONIC MEAN»

Discover the use of harmonic mean in the following bibliographical selection. Books relating to harmonic mean and brief extracts from same to provide context of its use in English literature.
1
MATLAB Programming for Engineers
4.26 Harmonic Mean The harmonic mean is yet another way of calculating a mean for a set of numbers. The harmonic mean of a set of numbers is given by the equation: N (4-18) harmonic mean 5 1 1 1 1 1c1 x 1 x2 xN Write a MATLAB ...
Stephen Chapman, 2007
2
The Harvard Dictionary of Music
Arithmetic and harmonic mean. The arithmetic mean between two numbers exceeds one number by the same amount that it falls short of the other. Thus, a is the arithmetic mean between x and y if, assuming x > y, x — a = a— y. The harmonic ...
Don Michael Randel, 2003
3
A Gentle Introduction to Stata, Second Edition
The harmonic mean is useful when you want to average rates. Suppose you go on a 60 mile bicycle ride where the first half of the course is a major hill climb and the second half of the course is a major descent. You might average just 5 miles ...
Alan C. Acock, 2008
4
Essentials of MATLAB Programming
4.26 Harmonic Mean The harmonic mean is yet another way of calculating a mean for a set of numbers. The harmonic mean of a set of numbers is given by the equation: N (4-18) harmonic mean 5 1 1 1 1 1 c 1 x 1 x2 xN Write a MATLAB ...
Stephen Chapman, 2008
5
Business Mathematics and Statistics
The harmonic mean The harmonic mean is another specialized measure of location used only in particular circumstances; namely when the data consists of a set of rates, such as prices (£/kilo), speeds (mph) or productivity (output / manhour).
Andy Francis, 2004
6
Contact Lens Optics and Lens Design
3.3.4.2 Harmonic mean thickness For the purpose of assessing the transmissibility of a contact lens for a gas such as oxygen, it is desirable to establish its equivalent thickness. Fatt (1979) states that 'For every lens of non- uniform thickness ...
W. A. Douthwaite, 2006
7
Archytas of Tarentum: Pythagorean, Philosopher and ...
If this report is to be accepted, Iamblichus would be wrong to assign the term " harmonic mean" to Archytas, and it would go back at least to Philolaus. Indeed, if Nicomachus' report is read as saying that Philolaus explained an already existing  ...
Carl Huffman, 2005
8
Technical support document for water qualitybased toxics control
... and the combined receiving water plus effluent flow, Q, such that, C = W/Q. The long-term harmonic mean flow is recommended as the design flow for carcinogens. The recommendation of long-term harmonic mean flow has been derived ...
Estados Unidos da América
9
The Inverse Gaussian Distribution: Theory: Methodology, and ...
On the other hand, if the unit of xt is fixed, say xj = x for all i, then yj — x/rt and the average X^/Z>'i = fex/x£(l/r,) = fc/£(l/r,) = fH, which is the harmonic mean of the rt. The use of the harmonic mean is justified in computing the average drift r of a ...
Raj Chhikara, 1988
10
Population Genetics: A Concise Guide
The harmonic mean of the numbers X1,Xa, . .. ,xn is the reciprocal of the average of the reciprocals of the Xi,. lfl. +. 1. + ...+. l)'. The harmonic mean of a sequence of numbers is always less than or equal to the arithmetic mean, a classic ...
John H. Gillespie, 2010

10 NEWS ITEMS WHICH INCLUDE THE TERM «HARMONIC MEAN»

Find out what the national and international press are talking about and how the term harmonic mean is used in the context of the following news items.
1
Aging Curves for Phenoms
For every player, the difference between each of their seasons was calculated, weighted by the harmonic mean of their PAs in both season, ... «Beyond the Box Score, May 15»
2
ProtDCal: A program to compute general-purpose-numerical …
iv-2) Measures of central tendency panel, this panel includes aggregation functions such as arithmetic mean, geometric mean, harmonic mean, ... «BMC Blogs Network, May 15»
3
Fully automatic evaluation of the corneal endothelium from in vivo …
... precision p and under-segmented cells decrease the recall r. Because F is the harmonic mean of p and r, lowering either of them lowers F. «BMC Blogs Network, Apr 15»
4
Failing Optimally – Data Science's Measurement Problem
F1 score is the harmonic mean (a kind of average) of precision and recall. Precision, which can be expressed as tp / (tp + fp) is the percentage ... «The Predictive Analytics Times, Mar 15»
5
March Madness Crib Notes For Sunday's Games
8 San Diego State (a harmonic mean of 88.0) at 2:40 p.m. EDT on CBS. Upset alert! No. 7 Iowa (27 percent win probability) vs. No. 2 Gonzaga ... «FiveThirtyEight, Mar 15»
6
Just Loaded Up On FSTVX And Planning To Buy More Every Month
If I wasn't able to use the harmonic mean from DCA to enhance my returns and didn't have a long enough time period to expect VTI to make up ... «Seeking Alpha, Feb 15»
7
The Gasols Are The Best Brothers In The NBA
But the harmonic mean also has the Gasols on top — their 73.2 crushes all other pairs; the Wilkins brothers total only 17 by this measure. «FiveThirtyEight, Feb 15»
8
Using Profile Information for Optimization, Energy Savings and …
... ran on a system along with a statistical description of the balance metrics (e.g. mean, standard deviation, harmonic mean, etcetera). «Scientific Computing, Feb 15»
9
Why P&C Insurance Companies Have Outperformed The S&P 500
P/E for the S&P 500, when using the harmonic mean rather than a regular average, works out to 21.2. for the same period. The harmonic mean ... «Seeking Alpha, Jan 15»
10
Mattel: Investment With The Potential For 9% Long-Term Growth (MAT)
The harmonic mean1 weights the increases better with a value of 2.52%. I want to look at a 10-year window. The C.A.G.R. for the last four ... «Seeking Alpha, Jan 15»

REFERENCE
« EDUCALINGO. Harmonic mean [online]. Available <https://educalingo.com/en/dic-en/harmonic-mean>. May 2024 ».
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