Abstract: The invention relates to a reflective surface substantially perpendicular to a vector field described by the equation: and a method for forming the reflective surface. The reflective surface is capable of providing a non-reversed, substantially undistorted direct reflection.

Abstract: The invention relates to a reflective surface substantially perpendicular to a vector field described by the equation: W(x,y,z)=T(proj(x,v,z))?(x,v,z)+proj(x,v,z)?(x,v,z)?T(proj(x,y,z))?(x,y,z)? ?proj(x,y,z)?(x,y,z)? and a method for forming the reflective surface. The reflective surface is capable of providing a non-reversed, substantially undistorted direct reflection.

Abstract: A method for producing a multiple surface system that may be a two-mirror surface. The method involves first finding from a given primary curve an appropriate secondary curve. The method then uses ideas from exterior differential systems to grow from the primary curve and the secondary curve, primary and secondary mirror surfaces. The Cartan-Kähler theorem gives a strong indication of the existence of such solution surfaces.

Abstract: The present invention relates to protector apparatus (30) for protecting at least one cable (24) during operation of a diverter (28). The protector apparatus (30) comprises at least one protector assembly substantially formed of a plastics material. The protector assembly defines a plurality of bores, a first of the plurality of bores being configured to receive a string (23) and a second of the plurality of bores being configured to receive a cable (24). The protector assembly is further configured to define an external surface with which an operating diverter engages when the protector apparatus is in use and a string is received in the first bore.

Abstract: A method for producing a multiple surface system that may be a two-mirror surface. The method involves first finding from a given primary curve an appropriate secondary curve. The method then uses ideas from exterior differential systems to grow from the primary curve and the secondary curve, primary and secondary mirror surfaces. The Cartan-Kähler theorem gives a strong indication of the existence of such solution surfaces.

Abstract: The invention relates to a reflective surface substantially perpendicular to a vector field described by the equation: W ? ( x , y , z ) = target ? ( x , y , z ) - [ x , y , z ] ? target ? ( x , y , z ) - [ x , y , z ] ? + source ? ( x , y , z ) - [ x , y , z ] ? source ? ( x , y , z ) - [ x , y , z ] ? and a computer program for forming the reflective surface. The reflective surface is capable of providing a substantially undistorted wide-angle field of view. It is particularly useful as a driver's side mirror of a vehicle to provide an enlarged, substantially undistorted field of view which may be used to reduce or eliminate blind spots.

Abstract: The invention relates to a reflective surface substantially perpendicular to a vector field described by the equation: W(x,y,z)=T (proj(x,v,z))?(x,v,z)+proj(x,v,z)?(x,v,z)?T(proj(x,y,z))?(x,y,z)? ?proj(x,y,z)?(x,y,z)? and a method for forming the reflective surface. The reflective surface is capable of providing a non-reversed, substantially undistorted direct reflection.

Abstract: The present invention relates to protector apparatus (30) for protecting at least one cable (24) during operation of a diverter (28). The protector apparatus (30) comprises at least one protector assembly substantially formed of a plastics material. The protector assembly defines a plurality of bores, a first of the plurality of bores being configured to receive a string (23) and a second of the plurality of bores being configured to receive a cable (24). The protector assembly is further configured to define an external surface with which an operating diverter engages when the protector apparatus is in use and a string is received in the first bore.

Abstract: This application describes a condom having a clitoral stimulation system (CSS) integrated to the outer surface of the condom or as a separate system that may be selectively attached to the condom.

Abstract: The invention relates to a reflective surface substantially perpendicular to a vector field described by the equation: and a computer program for forming the reflective surface. The reflective surface is capable of providing a substantially undistorted wide-angle field of view. It is particularly useful as a diver's side mirror of a vehicle to provide an enlarged, substantially undistorted field of view which may be used to reduce or eliminate blind spots.

Abstract: Multilayer polymeric films and other optical bodies are provided for use in horticultural applications. The optical bodies include a spectrally selective film comprising alternating polymeric layers configured to selectively reflect and transmit light at a design angle of incidence. The selective reflection and transmission is adapted to control plant growth or plant movement.

Abstract: A mirror for use in a catadioptric system, is provided which is a substantially circular mirror having a rotationally symmetric cross section by a set of points substantially close to a curve satisfied by a differential equation as follows: 2 ⁢ F ′ ⁡ ( x ) 1 - F ′ ⁡ ( x ) 2 = d ⁡ ( x ) - x F ⁡ ( x ) where x is the radius of the mirror and F(x) is the cross-sectional shape.