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2. Lofting coordinates - Wikipedia

   en.wikipedia.org/wiki/Lofting_coordinates

   Two points on a fuselage at waterline 100/fuselage station 93 and waterline 101/fuselage station 276. Lofting coordinates are used for aircraft body measurements. The system derives from the one that was used in the shipbuilding lofting process, with longitudinal axis labeled as "stations" (usually fuselage stations, frame stations, FS), transverse axis as "buttocks lines" (or butt lines, BL ...

3. Ample line bundle - Wikipedia

   en.wikipedia.org/wiki/Ample_line_bundle

   Also, a line bundle L is big if and only if it has a positive tensor power which is the tensor product of an ample line bundle A and an effective line bundle B (meaning that (,)). [42] Finally, a line bundle is big if and only if its class in N 1 ( X ) {\displaystyle N^{1}(X)} is in the interior of the cone of effective divisors.

4. Algebraic geometry of projective spaces - Wikipedia

   en.wikipedia.org/wiki/Algebraic_geometry_of...

   The negativity of the canonical line bundle makes projective spaces prime examples of Fano varieties, equivalently, their anticanonical line bundle is ample (in fact very ample). Their index ( cf. Fano varieties ) is given by I n d ( P n ) = n + 1 {\displaystyle \mathrm {Ind} (\mathbb {P} ^{n})=n+1} , and, by a theorem of Kobayashi-Ochiai ...

5. Line bundle - Wikipedia

   en.wikipedia.org/wiki/Line_bundle

   Suppose that is a space and that is a line bundle on .A global section of is a function : such that if : is the natural projection, then =.In a small neighborhood in in which is trivial, the total space of the line bundle is the product of and the underlying field , and the section restricts to a function .

6. Jumping line - Wikipedia

   en.wikipedia.org/wiki/Jumping_line

   There is a rank 2 vector bundle over the 3-dimensional complex projective space associated to V, that assigns to each line L of V the 2-dimensional vector space L ⊥ /L. Then a plane of V corresponds to a jumping line of this vector bundle if and only if it is isotropic for the skew-symmetric form.

7. Wavefront - Wikipedia

   en.wikipedia.org/wiki/Wavefront

   The light from this type of wave is referred to as collimated light. The plane wavefront is a good model for a surface-section of a very large spherical wavefront; for instance, sunlight strikes the earth with a spherical wavefront that has a radius of about 150 million kilometers (1 AU). For many purposes, such a wavefront can be considered ...