Dictionary

hyperspherical en · ADJ

Etymology

Etymology tree Proto-Indo-European *úp Proto-Indo-European *-er Proto-Indo-European *upér Proto-Hellenic *hupér Ancient Greek ῠ̔πέρ (hŭpér) Ancient Greek ῠ̔περ- (hŭper-)der. English hyper- English spherical English hyperspherical From hyper- + spherical.

Meanings

1. Shaped like a hypersphere.
2. (not-comparable) Pertaining to hyperspheres.
   • Using hyperspherical coordinates#92;begin#123;align#125;xamp;#61;R#92;cos#123;#92;theta#95;1#125;amp;amp;#92;theta#95;1#92;text#123;from#125;0#92;text#123;to#125;#92;pi,#92;#92;yamp;#61;R#92;sin#123;#92;theta#95;1#125;#92;cos#123;#92;theta#95;2#125;amp;amp;#92;theta#95;2#92;text#123;from#125;0#92;text#123;to#125;#92;pi,#92;#92;zamp;#61;R#92;sin#123;#92;theta#95;1#125;#92;sin#123;#92;theta#95;2#125;#92;cos#123;#92;phi#125;amp;amp;#92;phi#92;text#123;from#125;0#92;text#123;to#125;2#92;pi,#92;#92;#92;xiamp;#61;R#92;sin#123;#92;theta#95;1#125;#92;sin#123;#92;theta#95;2#125;#92;sin#123;#92;phi#125;,#92;end#123;align#125;the "area" of the small hypersurface over which #92;psi is constant #92;psi#61;#92;psi#95;p is#92;int#95;#123;0#125;#123;#92;pi#125;#92;int#95;0#123;#92;pi#125;#92;int#95;0#123;2#92;pi#125;a³#92;sin²#123;#92;theta#95;1#125;#92;sin#123;#92;theta#95;2#125;#92;mathrm#123;d#125;#92;theta#95;1#92;mathrm#123;d#125;#92;theta#95;2#92;mathrm#123;d#125;#92;phi#61;2#123;#92;pi#125;²a³. 1976, S. Cornbleet, Microwave Optics: The Optics of Microwave Antenna Design, London: Academic Press, →ISBN, →LCCN, page 388:

Forms