family of curves sentence in Hindi
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- One begins by noting that an arbitrary smooth vector field X on a manifold M defines a family of curves, its integral curves u : I \ to M ( for intervals I ).
- There was a controversy, one of the final issues in the conflict between'old'and'new'points of view in algebraic geometry, over Henri Poincar?s characteristic linear system of an algebraic family of curves on an algebraic surface.
- A family of curves describing strain versus time response to various applied stress may be represented by a single viscoelastic creep modulus versus time curve if the applied stresses are below the material's critical stress value.
- The Cayley & ndash; Bacharach theorem thus asserts that the last point of intersection of any two members in the family of curves does not move if eight intersection points ( without seven co-conic ones ) are already prescribed.
- Under the guidance of Ernest Julius Wilczynski, her doctoral thesis, " Properties of a certain projectively defined two-parameter family of curves on a general surface ", drew on his work as the founder of the American school of projective differential geometry.
- In a similar way, we can define the Koch & ndash; Peano family of curves as the set of De Rham curves generated by affine transformations reversing orientation, with fixed points p _ 0 = 0 and p _ 1 = 1.
- In other words, if you plot the reaction rate against [ M ] for various M, you get a family of curves with more or less parallel upward slopes merging into a common horizontal line after a certain concentration [ M ].
- Her paper " On certain factors of c-and p-discriminants and their relations to fixed points in the family of curves " which she published in the " Journal of Pure and Applied Mathematics " was based on her doctoral dissertation and she was awarded the Gambel Prize.
- "' A-weighting "'is the most commonly used of a family of curves defined in the International standard dB . The resulting octave band measurements are usually added ( logarithmic method ) to provide a single A-weighted value describing the sound; the units are written as dB ( A ).
- The Tate curve is really a curve over a formal power series ring rather than a curve over C . Intuitively, it's a family of curves depending on a formal parameter ( when that formal parameter is zero it degenerates to a pinched torus, and when it's nonzero it's a torus ).
- From a geometric standpoint, if we consider " f " ( " x ", " ? " ) as a function of two variables then the family of probability distributions can be viewed as a family of curves parallel to the " x "-axis, while the family of likelihood functions are the orthogonal curves parallel to the " ? "-axis.
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