The points that span conjugate planes are called conjugate points.
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Especially with France she developed a program studying activity at geomagnetic conjugate points in the southern and northern hemispheres.
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In stigmatic imaging an object ray intersecting any specific point in object space must be conjugate to an image ray intersecting the conjugate point in image space.
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In Riemannian geometry, if a smooth family of geodesics through a point " P " in a Riemannian manifold has an envelope, then " P " has a conjugate point where any geodesic of the family intersects the envelope.
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The same is true more generally in the calculus of variations : if a family of extremals to a functional through a given point " P " has an envelope, then a point where an extremal intersects the envelope is a conjugate point to " P ".
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In the case when " k " is the field of real numbers, the absolute Galois group has order 2, and its action on " D " is represented by drawing conjugate points of the Dynkin diagram near each other, and the Satake Tits diagram is called a Satake diagram.
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