** In metric geometry an automorphism is a self-isometry.

In Riemannian geometry, the metric tensor is used to define the angle between two tangents.

The meter is defined to be a unit of proper length, but the SI definition does not specify the metric tensor to be used in determining it.

There is an active trade in the shells, which sell for more than US $ 1, 400 per metric tonne.

In the metric system, the hectare is commonly used for the same purpose.

1 international acre is equal to the following metric units:

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.

The metric for noise performance of a circuit is noise figure or noise factor.

The lowercase letter o for octet is defined as the symbol for octet in IEC 80000-13 and is commonly used in several non-English languages ( e. g., French and Romanian ), and is also used with metric prefixes ( for example, ko and Mo )

It is still used in metric English-speaking countries ( such as Canada ), and remains the standard unit of classification for air conditioning units manufactured and sold in many non-English-speaking metric countries.

Through the work of Werner Israel, Brandon Carter, and David Robinson the no-hair theorem emerged, stating that a stationary black hole solution is completely described by the three parameters of the Kerr – Newman metric ; mass, angular momentum, and electric charge.

The most general stationary black hole solution known is the Kerr – Newman metric, which describes a black hole with both charge and angular momentum.

Blood alcohol content ( BAC ), also called blood alcohol concentration, blood ethanol concentration, or blood alcohol level is most commonly used as a metric of alcohol intoxication for legal or medical purposes.

Despite serious terrain obstacles, almost three-quarters of all cross-border dry cargo is now transported by road, 105, 251 metric tons in 2005.

In mathematics, specifically general topology and metric topology, a compact space is a mathematical space in which any infinite collection of points sampled from the space must — as a set — be arbitrarily close to some point of the space.

In fact, every compact metric space is a continuous image of the Cantor set.

Note that, in a metric space, every compact subset is closed and bounded.

* A metric space ( or uniform space ) is compact if and only if it is complete and totally bounded.

* If the metric space X is compact and an open cover of X is given, then there exists a number such that every subset of X of diameter < δ is contained in some member of the cover.

The idea is to try to improve this metric ; for example, if the metric can be improved enough so that it has constant curvature, then it must be the 3-sphere.

Often, the classification accuracy of " k "- NN can be improved significantly if the distance metric is learned with specialized algorithms such as Large Margin Nearest Neighbor or Neighbourhood components analysis.

: The IEAC is a metric to project total cost using the performance to date to project overall performance.

The gravitational redshift of a photon can be calculated in the framework of General Relativity ( using the Schwarzschild metric ) as

Einstein first derived this result by using an approximate metric representing the Newtonian limit and treating the orbiting body as a test particle.

The effect can also be derived by using either the exact Schwarzschild metric ( describing spacetime around a spherical mass ) or the much more general post-Newtonian formalism.

The JEDEC industry consortium continues to recommend the IEEE 100 nomenclature of using the metric prefixes kilo, mega and giga in their binary interpretation for memory manufacturing designations.

IGRP supports multiple metrics for each route, including bandwidth, delay, load, MTU, and reliability ; to compare two routes these metrics are combined together into a single metric, using a formula which can be adjusted through the use of pre-set constants.

Despite the definitions of these new prefixes for binary-based quantities of storage by international standards organizations, memory semiconductor chips are still marketed using the metric prefix names to designate binary multiples.

For example, in Canada, where the metric system is now in widespread use, consumer beverages are labelled almost exclusively using litres and millilitres.

In the last five to six decades, professionals and scientists using the metric system of units defined the standard reference conditions of temperature and pressure for expressing gas volumes as being and 101. 325 KPa ( 1 atm or 760 Torr ).

Examples could include DOS to Win95 or Unix to GNU, using a simple metric like source lines of code to mark the difference.

This unit is used for convenience in calculating jump drive fuel usage ; a ship with volume D tons using a jump-N drive uses 0. 1 × N × D metric tons of LH2 fuel per jump ( i. e. the fuel tank is N × 10 % of the ship's volume ).

The constant below in, ft · lbf / min, changes with the definition of the horsepower ; for example, using metric horsepower, it becomes ~ 32, 550.

The moral weight of suffering can be increased by using a " compassionate " utilitarian metric, so that the result is the same as in prioritarianism.

They are not SI units, using y to abbreviate English year, but following ambiguous international recommendations, use either the standard English first letters as prefixes ( t, m, and b ) or metric prefixes ( k, M, and G ) or variations on metric prefixes ( k, m, g ).

" Discovery II " could deliver a manned 172 000-kilogram payload to Jupiter in 118 days ( or 212 days to Saturn ) using 861 metric tons of hydrogen propellant, plus 11 metric tons of Helium-3-Deuterium ( D-He3 ) fusion fuel.

The NASA / MSFC Human Outer Planets Exploration ( HOPE ) group has investigated a manned MTF propulsion spacecraft capable of delivering a 163 933-kilogram payload to Jupiter's moon Callisto using 106-165 metric tons of propellant ( hydrogen plus either D-T or D-He3 fusion fuel ) in 249 – 330 days.

The complete system is summarized using the Minkowski metric on spacetime in the form

Although the metric system has changed and developed since its inception, its basic concepts have hardly changed-it was designed for transnational use ; it consisted of a basic set of units of measurement, now known as base units ; derived units were built up from the base units using logical rather than empirical relationships while multiples and submultiples of both base and derived units were decimal based and identified by a standard set of prefixes.

Metric time is the measure of time interval using the metric system, which defines the second as the base unit of time, and multiple and submultiple units formed with metric prefixes, such as kiloseconds and milliseconds.

French decimal time is sometimes called " metric time " because it was introduced around the same time as the metric system and both were decimal, but the April 7, 1795, decree creating the original metric units and prefixes actually suspended the previous decimal time decree, which had named the units hour, minute and second instead of using metric prefixes.