Naslov
On directional bias of the L_p-norm

Autori
Marošević, Tomislav

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Applied Mathematics and Scientific Computing / Drmač, Zlatko ; Hari, Vjeran ; Sopta, Luka ; Tutek, Zvonimir ; Veselić, Krešimir - New York (NY) : Kluwer Academic Publishers ; Plenum Publishers, 2003, 229-235

Skup
The Second Conference on Applied Mathematics and Scientific Computing

Mjesto i datum
Dubrovnik, Hrvatska, 04.06.2001. - 09.06.2001

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
directional bias; L_p-norm

Sažetak
We look at the so-called directional bias of the L_p-norm (1<= p<=infty) (see Brimberg-Love-1995). The L_p-norm is a popular distance measure in the problems of estimating the distances among objects. Distance | x-y|_p between any two points x and y depends on a particular set of orthogonal reference axes, except for the L_2-norm (i.e. euclidean norm). The axes and the distance function should be chosen in accordance with the directional bias. Particularly, we consider the directional bias of norms in 3 dimensional space R^3 and in n dimensional space R^n. (In Brimberg-Love-1995 the concept of the directional bias function of the norm in 2-dimensional space R^2 is analysed.)

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA