21. Conversely, the metric tensor itself is the derivative of the distance function ( taken in a suitable manner ). 22. This is given in terms of a distance function , giving how much an injective correspondence differs from an isomorphism. 23. The sine top / sine bottom method may be called the vertical distance function or a two-point method. 24. Using these resources they could evaluate the 4095-bit edit distance function , whose circuit comprises almost 6 billion gates. 25. Another limitation of the algorithm is that it cannot be used with arbitrary distance functions or on non-numerical data. 26. In general, when we define metric space the distance function is taken to be a real-valued order complete. 27. For real numbers, the arithmetic mean is a Fr�chet mean, using the usual Euclidean distance as the distance function . 28. This distance function ( which makes a metric space ) is sufficient to define all Euclidean geometry, including the dot product. 29. In particular, the Hessian of the signed distance function on the boundary of " ? " gives the Weingarten map. 30. If the family of affine distance functions can be shown to be a certain kind of family then the local structure is known.
