## 78 Citations

Vektorski produkt na R n , normirane algebre i H – prostori

- 2016

∗Prirodoslovno-matematički fakultet Matematički odsjek, Sveučilište u Zagrebu, email: mateapavlek@yahoo.com †Prirodoslovno-matematički fakultet Matematički odsjek, Sveučilište u Zagrebu, email:…

Vektorski produkt na \(R^n\)

- Physics
- 2015

U ovom radu govorimo o egzistenciji vektorskog produkta na \(\mathbb{R}^n\). Polazeci od definicije i svojstva vektorskog produkta, pokazujemo da tak

Vector products*

- The Mathematical Gazette
- 2000

In his thought-provoking Note 82.45 (November 1998) about products of vectors, Bob Ardler asks (p. 454) “Why does dot thrive in n dimensions, but cross only in 3?” and (p. 456) “Which, if any,…

A coordinate-free view on "the" generalized cross product

- Mathematics
- 2021

The higher dimensional generalization of the cross product is associated with an adequate matrix multiplication. This coordinate-free view allows for a better understanding of the underlying…

Matrix representation of a cross product and related curl-based differential operators in all space dimensions

- Open Mathematics
- 2021

Abstract A higher dimensional generalization of the cross product is associated with an adequate matrix multiplication. This index-free view allows for a better understanding of the underlying…

A Physical Explanation on Why Our Space Is Three Dimensional

- 2020

It is a basic, ancient and mysterious issue: why our space is three dimensional? This issue is related to philosophy, mathematics, physics and even religion, and thus aroused great research…

A constructive method for solving the equation Xa=b in Rn: A generalization of division in Rn

- Computer Science, MathematicsAppl. Math. Comput.
- 2020

An algorithm for computing divisions of vectors in multidimension space is presented and several known methods of scalar case to multidimensional cases are extended, and some numerical tests are made to compare the performance of the nonlinear system solvers.

Antisymmetry: Fundamentals and Applications

- Physics, Materials Science
- 2020

Symmetry is fundamental to understanding our physical world. An antisymmetry operation switches between two different states of a trait, such as two time-states, position-states, charge-states,…

Existence of Cross Product and Application

- Mathematics
- 2020

Original Research Article The paper aims to assess the existence of cross product in 3 dimensional, 7 dimensional and further explore the reasons for non existence of cross product does in other…

Hand-Eye Calibration: 4-D Procrustes Analysis Approach

- Mathematics, Computer ScienceIEEE Transactions on Instrumentation and Measurement
- 2020

A unit-octonion representation is proposed for the first time to solve such a Procrustes problem through which an optimal closed-form eigendecomposition solution is derived and consumes much less computation time.

## References

SHOWING 1-8 OF 8 REFERENCES

On the nonexistence of elements of Hopf invariant one

- Mathematics
- 1958

For the context of this question, see [5] (especially pp. 436-438), [4, Chapter VI] and [6, §§20, 21]. This theorem results from reasonings with secondary cohomology operations. I t is generally…

General Cohomology Theory and K-Theory

- Mathematics
- 1971

1. General Cohomology Theories 2. Exact Couples and Spectral Sequences 3. The Generalized Atiyah-Hirzebruch Spectral Sequence 4. K- Theory 5. K-Theory, the Chern Character and the Hopf Invariant…

Ueber die Composition der quadratischen Formen von belibig vielen Variablen

- Mathematics
- 1898

DigiZeitschriften e.V. gewährt ein nicht exklusives, nicht übertragbares, persönliches und beschränktes Recht auf Nutzung dieses Dokuments. Dieses Dokument ist ausschließlich für den persönlichen,…