I discuss a teaching experiment that sought to characterize precalculus students’ angle measure understandings. The study’s findings indicate that the students initially conceived angle measures in terms of geometric objects. As the study progressed, the students formed more robust understandings of degree and radian measures by constructing an arc length image of angle measures; the students’ ...

abstract   background: the purpose of this study was to evaluate the significance of the q angle with respect to the patella position. we assess the correlation between the q angles (calculated by clinical exam) in different positions and ct indices (with more impression on tttg).   method: atotal number of 68 knee joints of 50 cases entered the study. clinical examination was used to measure q...

The dot product formula allows one to measure an angle determined by two vectors, and a formula known to Euler and Lagrange outputs the measure of a solid angle in R3 given its three spanning vectors. However, there appears to be no closed form expression for the measure of an n-dimensional solid angle for n > 3. We derive a multivariable (infinite) Taylor series expansion to measure a simplici...

[1] The Sub‐keV Atom Reflecting Analyzer instrument on board the lunar orbiter Chandrayaan‐1 provided a large number of measurements of lunar energetic neutral atoms (ENAs). These ENAs were formerly solar wind ions, which were neutralized and backscattered from the lunar surface. The angles under which the ENAs are scattered strongly depend on the solar wind ions’ incidence angle, which corresp...

  Abstract   Background: The purpose of this study was to evaluate the significance of the Q   angle with respect to the patella position. We assess the correlation between the Q angles (calculated by clinical exam) in different positions and CT indices (with more   impression on TTTG).   Method: Atotal number of 68 knee joints of 50 cases entered the study. Clinical   examination was used to m...

Conventional angle sensors can measure only 360°,but passenger car steering wheel turns through +/-720 (a total of 4 complete turns). In this paper we describe iGMR based steering wheel angle sensor implementation which can be used as a rotation sensor to measure +/720°. KeywordSteering Wheel Angle Sensor, IGMR, Angle Sensor, GMR.