s Proof of the Density of Rotations of a Circle through an Irrational Angle, ArtículoOne of the theorems of Nicole Oresme′s (ca. 1320-1382) says that, for two points moving uniformly but incommensurably along a circle, "no sector of a circle is so small that two such mobiles could...
whirling,gyration- the act of rotating in a circle or spiral pivot- the act of turning on (or as if on) a pivot; "the golfer went to the driving range to practice his pivot" pronation- rotation of the hands and forearms so that the palms face downward ...
However, you can achieve the same result using closed paths. In particular, if you drag the mouse around a circular path clockwise, the object will rotate counterclockwise, by an amount proportional to the area of the circle. This is particularly useful for making small changes. ...
Binaural reproduction is rapidly becoming a topic of great interest in the research community, especially with the surge of new and popular devices, such as virtual reality headsets, smart glasses, and head-tracked headphones. In order to immerse the lis
'Place a color-coded circle on the point CIRCLE (X, Y), 3, PNT 'Check for links, rotate them if needed, get X & Y, then draw a line. IF WF(PNT).A > 0 THEN A = WF(PNT).A AX = WF(A).X AY = WF(A).Y AZ = WF(A).Z ...
A parallelogram, for example, has rotational symmetry of order two, and a square has rotational symmetry of order four. How do you know if a shape has rotational symmetry? To determine if a shape has rotational symmetry, spin the shape in a circle. If the original shape can be seen ...
Binaural reproduction is rapidly becoming a topic of great interest in the research community, especially with the surge of new and popular devices, such as virtual reality headsets, smart glasses, and head-tracked headphones. In order to immerse the listener in a virtual or remote environment wit...
We study the ergodic properties of compositions of interval exchange transformations (IETs) and rotations. We show that for any IET T, there is a full measure set of alpha is an element of [0, 1) so that T circle R-alpha is uniquely ergodic, where R-alpha is rotation by alpha.关键...
Fix an irrational numberα, and consider a random walk on the circle in which at each step one moves tox+αorx−αwith probabilities 1/2, 1/2 provided the current position isx. If an observable is given we can study a process called an additive functional of this random walk. One ...
Humans can adapt their motor commands in response to alterations in the movement environment. This is achieved by tuning different motor primitives, generating adaptations that can be generalized also to relevant untrained scenarios. A theory of motor pr