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Meaning of "scalar product" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF SCALAR PRODUCT

scalar product play
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GRAMMATICAL CATEGORY OF SCALAR PRODUCT

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Scalar product 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 SCALAR PRODUCT MEAN IN ENGLISH?

Dot product

In mathematics, the dot product, or scalar product, is an algebraic operation that takes two equal-length sequences of numbers and returns a single number. This operation can be defined either algebraically or geometrically. Algebraically, it is the sum of the products of the corresponding entries of the two sequences of numbers. Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them. The name "dot product" is derived from the centered dot " · " that is often used to designate this operation; the alternative name "scalar product" emphasizes the scalar nature of the result. In three-dimensional space, the dot product contrasts with the cross product of two vectors, which produces a pseudovector as the result. The dot product is directly related to the cosine of the angle between two vectors in Euclidean space of any number of dimensions.

WORDS THAT BEGIN LIKE SCALAR PRODUCT

scalability
scalable
scalably
scalade
scalado
scalage
scalar
scalar multiplication
scalare
scalariform
scalariformly
scalation
scalawag
scald
scald-crow
scaldberry
scalder
scaldfish
scaldhead
scaldic

WORDS THAT END LIKE SCALAR PRODUCT

banking product
blood product
by-product
Cartesian product
cleaning product
conduct
coproduct
cross product
dot product
end product
finished product
fission product
global product
gross domestic product
gross national product
multiproduct
primary product
product
set product
subproduct
vector product

Synonyms and antonyms of scalar product in the English dictionary of synonyms

SYNONYMS

Translation of «scalar product» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF SCALAR PRODUCT

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

Translator English - Chinese

标量积
1,325 millions of speakers

Translator English - Spanish

producto escalar
570 millions of speakers

English

scalar product
510 millions of speakers

Translator English - Hindi

अदिश उत्पाद
380 millions of speakers
ar

Translator English - Arabic

المنتج مفردة
280 millions of speakers

Translator English - Russian

скалярное произведение
278 millions of speakers

Translator English - Portuguese

produto escalar
270 millions of speakers

Translator English - Bengali

স্কালে পণ্য
260 millions of speakers

Translator English - French

produit scalaire
220 millions of speakers

Translator English - Malay

Produk skalar
190 millions of speakers

Translator English - German

Skalarprodukt
180 millions of speakers

Translator English - Japanese

スカラー積
130 millions of speakers

Translator English - Korean

내적
85 millions of speakers

Translator English - Javanese

Produk skalar
85 millions of speakers
vi

Translator English - Vietnamese

tích vô hướng
80 millions of speakers

Translator English - Tamil

ஸ்காலர் தயாரிப்பு
75 millions of speakers

Translator English - Marathi

स्केलर उत्पादन
75 millions of speakers

Translator English - Turkish

Skaler ürün
70 millions of speakers

Translator English - Italian

prodotto scalare
65 millions of speakers

Translator English - Polish

Produkt skalarne
50 millions of speakers

Translator English - Ukrainian

скалярний твір
40 millions of speakers

Translator English - Romanian

produs scalar
30 millions of speakers
el

Translator English - Greek

γινομένου
15 millions of speakers
af

Translator English - Afrikaans

skalaarproduk
14 millions of speakers
sv

Translator English - Swedish

skalärprodukt
10 millions of speakers
no

Translator English - Norwegian

skalarproduktet
5 millions of speakers

Trends of use of scalar product

TRENDS

TENDENCIES OF USE OF THE TERM «SCALAR PRODUCT»

The term «scalar product» is regularly used and occupies the 71.884 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Regularly used
67
/100
The map shown above gives the frequency of use of the term «scalar product» in the different countries.
Principal search tendencies and common uses of scalar product
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «scalar product».

FREQUENCY OF USE OF THE TERM «SCALAR PRODUCT» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «scalar product» during the past 500 years. Its implementation is based on analysing how often the term «scalar product» 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 scalar product

EXAMPLES

10 ENGLISH BOOKS RELATING TO «SCALAR PRODUCT»

Discover the use of scalar product in the following bibliographical selection. Books relating to scalar product and brief extracts from same to provide context of its use in English literature.
1
Physics for Scientists and Engineers
THE SCALAR PRODUCT Work is based on the component of force in the direction of an object's displacement. For straight-line motion, it is easy to calculate the component of the force in the direction of the displacement. However, in ...
Paul A. Tipler, Gene Mosca, 2007
2
Vectors in Physics and Engineering
After you have studied this chapter you should be able to Objectives Use the geometric definition of the scalar product to calculate the scalar product of two given vectors (Objective 1). Use the scalar product to determine the projection of a ...
Alan Durrant, 1996
3
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
7.3 The Scalar Product of Two Vectors Because of the way the force and displacement vectors are combined in Equation 7.1, it is helpful to use a convenient mathematical tool called the scalar product of two vectors. We write this scalar ...
Raymond Serway, John Jewett, 2009
4
Complex Analysis with Vector Calculus
3 Hence direction cosines — , — and — 7 7 7 6.3 THE SCALAR PRODUCT OF VECTORS Introduction The concept of the scalar product of two vectors, as a result of which a scalar is associated to any given pair of vectors, will be introduced in ...
T. M. J. A. Cooray, 2006
5
Linear Algebra via Exterior Products
Until now we did not use any scalar product in our vector spaces. In this chapter we explore the properties of spaces with a scalar product. The exterior product techniques are especially powerful when used together with a scalar product.
Sergei Winitzki, 2010
6
A Course in Practical Mathematics
If a force F is moving a point with velocity u, then the rate at which it is doing work is equal to the scalar product Fu. If F is in pounds, and v in feet per second, the power Fu is given in foot-lbs. per second. This is a scalar quantity having no ...
Frank Moulton Saxelby, 1905
7
Security Technology: International Conference, SecTech 2011, ...
Du and Atallah [6,2] proposed two private scalar product computation protocols which are based on the 1-out-of-n oblivious transfer protocol and the homomorphic public-key encryption scheme, respectively. However Goethals et al.
Tai-hoon Kim, Hojjat Adeli, Wai-chi Fang, 2011
8
Engineering Physics
If the product of two vectors is a scalar, then it is called scalar product; If the product is a vector, then it is called vector product. If A and B are two vectors then their scalar product is written as A.B and read as A dot B. Hence scalar product is  ...
9
Understanding Single-Crystal X-Ray Crystallography
The parallel between the scalar product of vectors and the multiplication of ordinary numbers has already been established for the commutative property of multiplication, i.e., the product remains unchanged when the order of multiplication is ...
Dennis W. Bennett, 2010
10
Physics for Scientists and Engineers with Modern Physics
We now discuss the second type, called the scalar product, or dot product ( because a dot is used to indicate the multiplication). If we have two vectors, and then their scalar (or dot) product is defined to be B B , A B FIGURE 7–5 Example 7–3.
Douglas C. Giancoli, 2008

3 NEWS ITEMS WHICH INCLUDE THE TERM «SCALAR PRODUCT»

Find out what the national and international press are talking about and how the term scalar product is used in the context of the following news items.
1
Covariance And Contravariance - A Simple Guide
This is usually called the scalar or inner product. ... e.g. by the same scaling then as one of them is contravariant and the covariant the scalar product is invariant. «iProgrammer, Dec 10»
2
Looking for parity violation in heavy-ion collisions
The pseudoscalar density is a scalar product of the chromoelectric and chromomagnetic field and changes sign under both parity (P) and charge-parity (CP) ... «Physics, Dec 09»
3
Gresham Enterprise Storage Inc. Certifies Quantum Storage …
This enables robust and seamless data transfers to and from System i via Clareti Storage Director and DXi and Scalar products. The Quantum and Gresham ... «PR Web, Apr 09»

REFERENCE
« EDUCALINGO. Scalar product [online]. Available <https://educalingo.com/en/dic-en/scalar-product>. Apr 2024 ».
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