M. J. Loquias

activity

20182026

most citedInverse Kinematics of Some General 6R/P Manipulators

1 citations · 1 across the 2 of their papers we have counts for

collaborators

5 papers

math.NT2026

A Matrix Analogue of Rational Number Systems

Anjelo Gabriel R. Cruz, Manuel Joseph C. Loquias

Let $P, Q \in Z^{d \times d}$ be invertible coprime matrices such that all the eigenvalues of $Q^{- 1} P$ have modulus greater than 1, and $Z^{d} [Q^{- 1} P]$ be the small…

math.NT2025

Addition Automata and Attractors of Digit Systems Corresponding to Expanding Rational Matrices

Anjelo Gabriel R. Cruz, Manuel Joseph C. Loquias, Jörg M. Thuswaldner

Let $A$ be an expanding $2 \times 2$ matrix with rational entries and $Z^{2} [A]$ be the smallest $A$ -invariant $Z$ -module containing $Z^{2}$ . Let $\mathcal{D…

math.MG2020

Similarity Isometries of Point Packings

Jeanine Concepcion H. Arias, Manuel Joseph C. Loquias

A linear isometry $R$ of $R^{d}$ is called a similarity isometry of a lattice $Γ \subseteq R^{d}$ if there exists a positive real number $β$ such that $β R Γ$ is a subla…

cs.RO2019★ 1 cited

Inverse Kinematics of Some General 6R/P Manipulators

Jose Capco, Manuel Joseph C. Loquias, Saraleen Mae M. Manongsong +1

We develop an algorithm that solves the inverse kinematics of general serial 2RP3R, 2R2P2R, 3RP2R and 6R manipulators based on the HuPf algorithm. We identify the workspaces of the…

math.CO2018

Fundamental domains for rhombic lattices with dihedral symmetry of order 8

Joseph Ray Clarence G. Damasco, Dirk Frettlöh, Manuel Joseph C. Loquias

We show by construction that every rhombic lattice $Γ$ in $R^{2}$ has a fundamental domain whose symmetry group contains the point group of $Γ$ as a subgroup of index $2$ .…