For comparison, Sirius has an absolute magnitude of 1. 4 which is greater than the Sun's absolute visual magnitude of 4. 83 ( it actually serves as a reference point ).

For comparison, a Roman 1st BC century catapult using stones of 6. 55 kg fired with a kinetic energy of 16, 000 joules, while a mid 19th century 12 pound cannon firing projectiles of 4. 1 kg fired the projectile with a kinetic energy of 240, 000 joules.

For comparison purposes that is approximately the same size as Aylesbury, Carlisle, Guildford or Scunthorpe urban areas.

For comparison, the equator of the Sun requires just over 25 days for a complete rotation.

For comparison, Internet penetration in the Ukraine was 33. 7 %, in Romania 35. 5 %, Russia 42. 8 %, and Serbia 55. 9 %.

For the Bandanese, on the other hand, although they welcomed another competitor purchaser for their spices, the items of trade offered by the Dutch — heavy woollens, and damasks, unwanted manufactured goods, for example — were usually unsuitable in comparison to traditional trade products.

For this reason, the history of Cairo during Ottoman times is often described as inconsequential, especially in comparison to other time periods.

For example, Darwinism may be used to refer to Darwin's proposed mechanism of natural selection, in comparison to more recent mechanisms such as genetic drift and gene flow.

For comparison, treating of cotton during a typical U. S. growing season requires the same amount of chemical as roughly 1, 700 homes.

For example, it may be more cost-efficient to obtain the desired level of performance by using a cluster of several low-end computers, in comparison with a single high-end computer.

For comparison, London shipped 18, 727, 230 tons ( 16 billion kg ), and New York shipped 20, 390, 953 tons ( 18 billion kg ).

For comparison:

For comparison, a mouse with a normal amount of adipose tissue is shown on the right.

For example, there is a tradition in many newsgroups and other Internet discussion forums that once such a comparison is made, the thread is finished and whoever mentioned the Nazis has automatically lost whatever debate was in progress.

For comparison, the energy density of TNT is 4. 7 megajoules per kilogram, and the energy density of gasoline is 47. 2 megajoules per kilogram.

For example, take the following comparison of execution time of computer programs:

For comparison, the average was 73. 3 days in Latin America and 16. 3 days in OECD countries.

For comparison, the other two general conic sections, the ellipse and the parabola, derive from the corresponding Greek words for " deficient " and " comparable "; these terms may refer to the eccentricity of these curves, which is greater than one ( hyperbola ), less than one ( ellipse ) and exactly one ( parabola ), respectively.

For comparison, the most efficient small four-stroke motors are around 43 % thermal efficiency ( SAE 900648 ); size is an advantage for efficiency due to the increase in the ratio of volume to surface area.

For comparison, consider a similar example written in Java-based pseudocode:

For comparison, a capacitor stores energy in an electric field, and a resistor does not store energy but rather dissipates energy as heat.

For comparison, cooking, smoking, salting etc.

For comparison, milk heat pasteurization is not being alleged to be a method " to cover up poor food quality "; consequently, food irradiation should not be accused to serve such criminal purposes.

For comparison, woven garments stretch mainly along one direction ( the bias ) and are not very elastic, unless they are woven from stretchable material such as spandex.

( For comparison, a sphere is an orientable surface with no boundary.

For a while there was such shrill girlish commotion I couldn't have made myself heard if I'd had the equivalent of the message to Garcia.

For United States expenditures under subsections ( A ), ( B ), ( D ), ( E ), ( F ), ( H ) through ( R ) of Section 104 of the Act or under any of such subsections, the rupee equivalent of $200 million.

For grant to the Government of India under subsection ( E ) of Section 104 of the Act, the rupee equivalent of not more than $538 million for financing such projects to promote balanced economic development as may from time to time be mutually agreed.

For loan to the Government of India under subsection ( G ) of Section 104 of the Act, the rupee equivalent of not more than $538 million for financing such projects to promote balanced economic development as may be mutually agreed.

For example, when the film is only four minutes old, Neitzbohr refers to a small, Victorian piano stool as `` Wilhelmina '', and we are thereupon subjected to a flashback that informs us that this very piano stool was once used by an epileptic governess whose name, of course, was Doris ( the English equivalent, when passed through middle-Gaelic derivations, of Wilhelmina ).

For example, on the basis of the regression equation, a child with an I.Q. of 120 in this sample would be expected to earn an achievement test score of 4.8 ( grade equivalent ).

For referring specifically to a U. S. national and things, the words used are estadunidense ( also spelled estado-unidense ) ( United States person ), from Estados Unidos da América, and ianque ( Yankee ), but the term most often used is norte-americano, even though it could, as with its Spanish equivalent, in theory apply to Canadians, Mexicans, etc., as well.

* James ` s Theorem For a Banach space the following two properties are equivalent:

For instance, the English declarative sentence " snow is white " refers to the same proposition as the equivalent French declarative sentence " la neige est blanche "; two sentences, one proposition.

For example, a central bank might set a target rate for overnight lending of 4. 5 %, but rates for ( equivalent risk ) five-year bonds might be 5 %, 4. 75 %, or, in cases of inverted yield curves, even below the short-term rate.

For alternative ( equivalent ) formulations of the definition in terms of a bijective function or a surjective function, see the section Formal definition and properties below.

For any subset A of Euclidean space R < sup > n </ sup >, the following are equivalent:

For complete metric spaces this is equivalent to compactness.

For example, the probability that an alpha particle striking a beryllium target will produce a neutron can be expressed as the equivalent cross section of beryllium for this type of reaction.

For example, it can be stated specifically that 5 minutes is equivalent to seconds.

For example, Latin P came to be written like Greek rho ( written Ρ but pronounced ), so the Roman letter equivalent to rho was modified to R to keep it distinct.

For a topological space X, the following are equivalent:

For such data, one must use a hash function that is compatible with the data equivalence criterion being used: that is, any two inputs that are considered equivalent must yield the same hash value.

For example, in some Spanish-speaking nations, the equivalent remedy for unlawful imprisonment is the amparo de libertad (' protection of freedom ').

For rockets, TSFC can be used, but typically other equivalent measures are traditionally used, such as specific impulse and effective exhaust velocity.

For example, the orthogonal group O < sub > n </ sub >( R ) consists of matrices A with AA < sup > T </ sup > = 1, so the Lie algebra consists of the matrices m with ( 1 + εm )( 1 + εm )< sup > T </ sup > = 1, which is equivalent to m + m < sup > T </ sup > = 0 because ε < sup > 2 </ sup > = 0.

For many years a fundamental question in physics was whether a left-hand rule would be equivalent.

For those used to the British / Commonwealth / American system of ranks, it is important to realise that " Major " is the senior non-commissioned rank in the French / Monegasque system, equivalent to " Sergeant-Major ".

For instance, federal scholarships for Native Americans require the student to be enrolled in a federally recognized tribe and have at least one-quarter Native American descent ( equivalent to one grandparent ), attested to by a Certificate of Degree of Indian Blood ( CDIB ) card.

For any subgroup, the following conditions are equivalent to normality.