However, a common and well-accepted metric is the half power points ( i. e. frequency where the power goes down by half its peak value ) on the output vs. frequency curve.

However, some properties of the metric, such as completeness, cannot be said to be inherited.

However, they all have adopted metric measures to some degree through international trade and standardisation for example, Sierra Leone switched to selling fuel by the litre in May 2011.

However in general the Ricci flow equations lead to singularities of the metric after a finite time.

However, the amount of silver coated glass worldwide is hundreds of millions of square meters per year leading to silver consumption on the order of 10 cubic meters or 100 metric tons / year.

However, it is a long-standing ( since 1975 ) open problem to improve the Christofides approximation factor of 1. 5 for general metric TSP to a smaller constant.

However, in some respects it seems to be easier than the general metric TSP.

However, assuming the cosmological principle that the universe is homogeneous and isotropic everywhere, every point in space is like every other point ; hence, the metric tensor must be the same everywhere.

However, these overtures failed and the custody of the metric system remained in the hands of the French Government until 1875.

However, there are no other units with metric prefixes.

However, theories of analysis can be applied to any space of mathematical objects that has a definition of nearness ( a topological space ) or, more specifically, distance ( a metric space ).

However, the two definitions cease to be equivalent when we consider subsets of more general metric spaces and in this generality only the latter property is used to define compactness.

However, cross-ratio calculations use metric features of geometry, features not admitted by purists.

However, the Iranian government ordered 1, 225 vehicles of an upgraded Chieftain type, the Shir-2 ( FV 4030 / 3 ), using the same technology of adding Chobham armour to the main cast armour, bringing total weight to 62 metric tonnes.

However, in markets accustomed to cubic inches, the actual displacement measurements of an engine are still given by many manufacturers in these units, usually along with metric value ; e. g. the 6. 1-litre HEMI's published displacement is 370. 0 CID / 6, 059 cc.

However this minimal decomposition is not necessarily the one produced by Ricci flow ; if fact, the Ricci flow can cut up a manifold into geometric pieces in many inequivalent ways, depending on the choice of initial metric.

However, infinity is a metric concept, so a purely projective geometry does not single out any points, lines or plane in this regard — those at infinity are treated just like any others.

However the correction to the metric of the moduli space of vacua from instantons was calculated in a series of papers.

However, fans and analysts have questioned the usefulness and significance of errors as a metric for fielding skill.

However, the matter is simpler for metric spaces.

However, on September 23, 1999, communication with the spacecraft was lost as the spacecraft went into orbital insertion, due to ground based computer software which produced output in Imperial units of pound-seconds ( lbf × s ) instead of the specified metric units of newton-seconds ( N × s ).

However, it is not clear what proportion of illicitly harvested safrole is going toward MDMA production, as over 90 % of the global safrole supply ( approx 2000 metric tons per year ) is used to manufacture pesticides, fragrances, and other chemicals.

However, a set can be countable but not discrete, e. g. the rational numbers with the absolute difference metric.

However, the equations can be arranged so that they contain only the metric tensor and not its inverse.

However, although Apollonius came close to developing analytic geometry, he did not manage to do so since he did not take into account negative magnitudes and in every case the coordinate system was superimposed upon a given curve a posteriori instead of a priori.

However, Astbury did not have the necessary data on the bond geometry of the amino acids in order to build accurate models, especially since he did not then know that the peptide bond was planar.

However, in projective geometry every conic section is equivalent to an ellipse.

However, as René Descartes noticed, perceptual space has a projective geometry, things within it appear as if they are viewed from a point.

However, NMR experiments are able to provide information from which a subset of distances between pairs of atoms can be estimated, and the final possible conformations for a protein are determined by solving a distance geometry problem.

However, most modern algebraic geometry texts starting with Alexander Grothendieck's foundational EGA use the convention in this article .< ref > A notable exception to modern algebraic geometry texts following the conventions of this article is Commutative algebra with a view toward algebraic geometry / David Eisenbud ( 1995 ), which uses " h < sub > A </ sub >" to mean the covariant hom-functor.

However, the later book The geometry of schemes / David Eisenbud, Joe Harris ( 1998 ) reverses this and uses " h < sub > A </ sub >" to mean the contravariant hom-functor .</ ref >

However, in spherical geometry and hyperbolic geometry ( where the sum of the angles of a triangle varies with size ) AAA is sufficient for congruence on a given curvature of surface.

However, unlike Archimedes ' method, which was based on Euclidean geometry, Newton's and Leibniz's integral calculus did not have a rigorous foundation.

However, the properties which distinguish one geometry from the others are the ones which have historically received the most attention.

However, rasterization is simply the process of computing the mapping from scene geometry to pixels and does not prescribe a particular way to compute the color of those pixels.

However, using projective geometry, so that R < sup > 2 </ sup > is considered to be a subset of R < sup > 3 </ sup >, translations become affine linear transformations.

However, as this relationship is not perfect, the geometry of two eclipses separated by one saros will differ slightly.

However, upon change of geometry, i. e., change of, the LCAO coefficients obtain different values and we see corresponding changes in the functional form of the MO.

However, the mechanics of keeping Rowland circle geometry in a variable-angle monochromator is extremely difficult.

However, unlike traditional displacement mapping, the surface geometry is not modified.

However studies in other fields of expertise offer alternative interpretations of the possible functions, which principally centre on the astronomy, engineering, geometry and mythology associated with the Boyne monuments.

However, the reactivity of a carbocation more closely resembles sp < sup > 2 </ sup > hybridization with a trigonal planar molecular geometry.

However, although Apollonius came close to developing analytic geometry, he did not manage to do so since he did not take into account negative magnitudes and in every case the coordinate system was superimposed upon a given curve a posteriori instead of a priori.