An Elementary Course of Plane Geometry and Mensuration

An elementary digital plane recognition algorithm

A naive digital plane is a subset of points (x, y, z) ∈ Z3 verifying h ≤ ax+ by+ cz < h+max{|a|, |b|, |c|} where (a, b, c, h) ∈ Z4. Given a finite unstructured subset of Z3, determine whether there exists a naive digital plane containing it is called digital plane recognition. This question is rather classical in the field of digital geometry (also called discrete geometry). We suggest in this ...

assessment of deep word knowledge in elementary and advanced iranian efl learners: a comparison of selective and productive wat tasks

testing plays a vital role in any language teaching program. it allows teachers and stakeholders, including program administrators, parents, admissions officers and prospective employers to be assured that the learners are progressing according to an accepted standard (douglas, 2010). the problems currently facing language testers have both practical and theoretical implications but the first i...

development and implementation of an optimized control strategy for induction machine in an electric vehicle

in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...

Safe domain and elementary geometry

A classical problem of mechanics involves a projectile fired from a given point with a given velocity whose direction is varied. This results in a family of trajectories whose envelope defines the border of a “safe” domain. In the simple cases of a constant force, harmonic potential, and Kepler or Coulomb motion, the trajectories are conic curves whose envelope in a plane is another conic secti...

Conformal Geometry and Elementary Particles.