ubiquitous product - translation to γερμανικά
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ubiquitous product - translation to γερμανικά

JAPANESE COMPUTER SCIENTIST
Ubiquitous Communicator; Ubiquitous communicator; Sakamura; 坂村健

ubiquitous product      
allgegenwärtiges Produkt
cross product         
  • [[Standard basis]] vectors ('''i''', '''j''', '''k''', also denoted '''e'''<sub>1</sub>, '''e'''<sub>2</sub>, '''e'''<sub>3</sub>) and [[vector component]]s of '''a''' ('''a'''<sub>x</sub>, '''a'''<sub>y</sub>, '''a'''<sub>z</sub>, also denoted '''a'''<sub>1</sub>, '''a'''<sub>2</sub>, '''a'''<sub>3</sub>)
  • '''a''' × '''b'''}} (vertical, in purple) changes as the angle between the vectors '''a''' (blue) and '''b''' (red) changes. The cross product is always orthogonal to both vectors, and has magnitude zero when the vectors are parallel and maximum magnitude ‖'''a'''‖‖'''b'''‖ when they are orthogonal.
  • isbn=978-0-07-161545-7}}</ref>
  • Figure 1. The area of a parallelogram as the magnitude of a cross product
  • Cross product [[scalar multiplication]]. '''Left:''' Decomposition of '''b''' into components parallel and perpendicular to '''a'''. Right: Scaling of the perpendicular components by a positive real number ''r'' (if negative, '''b''' and the cross product are reversed).
  • rejection]]. The triple product is in the plane and is rotated as shown.
  • The cross product in relation to the exterior product. In red are the orthogonal [[unit vector]], and the "parallel" unit bivector.
  • Figure 2. Three vectors defining a parallelepiped
  • Finding the direction of the cross product by the [[right-hand rule]]
  • According to [[Sarrus's rule]], the [[determinant]] of a 3×3 matrix involves multiplications between matrix elements identified by crossed diagonals
MATHEMATICAL OPERATION ON TWO VECTORS
Vector product; Vector cross product; Evaluating cross products; Cross Product; Evaluating cross-products; Cross products; Sarrus's scheme; Cross-product; Crossproduct; Vector Product; ⨯; Vectorial product; Cross product matrix; Three-dimensional cross product; Ccw test; Xyzzy (mnemonic); Generalizations of the cross product
Vektorprodukt, das Ergebnis zweier Vektoren
dot product         
  • Scalar projection
  • Triangle with vector edges '''a''' and '''b''', separated by angle ''θ''.
  • Distributive law for the dot product
  • Illustration showing how to find the angle between vectors using the dot product
  • <!-- specify width as minus sign vanishes at most sizes --> Calculating bond angles of a symmetrical [[tetrahedral molecular geometry]] using a dot product
  • Vector components in an orthonormal basis
ALGEBRAIC OPERATION THAT TAKES TWO EQUAL-LENGTH SEQUENCES OF NUMBERS
Scalar product; Dot Product; Standard inner product; Scaler product; Dotproduct; Dot products; Dot-product; Vector dot product; Projection Product; Complex dot product; Generalizations of the dot product; Norm squared; Point product; Norm-squared
Skalarprodukt, inneres Produkt zweier vektoren, Produkt der Längen und dem Kosinus des Winkels zweier Vektoren (Mathematik)

Ορισμός

dot product

Βικιπαίδεια

Ken Sakamura

Ken Sakamura (坂村 健, Sakamura Ken, born 25 July 1951 in Tokyo, Japan), as of April 2017, is a Japanese professor and dean of the Faculty of Information Networking for Innovation and Design at Toyo University, Japan. He is a former professor in information science at the University of Tokyo (through March 2017). He is the creator of the real-time operating system (RTOS) architecture TRON.

In 2001, he shared the Takeda Award for Social/Economic Well-Being with Richard Stallman and Linus Torvalds.

Παραδείγματα από το σώμα κειμένου για ubiquitous product
1. The companies affected include giants such as Osem, Strauss, Coca Cola Israel, Wissotsky and the products include not only cold–tea drinks but staples such as Shahar chocolate spread, a nearly ubiquitous product in Israeli households. (Adi Dovrat) Advertisement Fifty thousand professional gardeners will lose their jobs because of the order forbidding gardens to be watered or grass to be planted, claims a group of 13 companies providing gardening service supplies, irrigation systems, nurseries and the like.