noun

definition

A number representing a comparison between two named things.

definition

The relative magnitudes of two quantities (usually expressed as a quotient).

definition

Short for ratio decidendi.

definition

The amount of comments to a post or other expression on social media relative to the number of likes.

Examples of ratios in a Sentence

In the former year the ratios were 40.2 and 41.5, in the latter 41-6 and 427%.

He discovered that gases always combined in volumes having simple ratios, and that the volume of the product had a simple ratio to the volumes of the reacting gases.

If in (21) we imagine that x, y, I denote infinitesimal rotations of a solid free to turn about a fixed point in a given field of force, it appears that the three normal modes consist each of a rotation about one of the three diameters aforesaid, and that the values of in are proportional to the ratios of the lengths of corresponding diameters of the two quadrics.

It is required to find the ratios of those angular velocities.

The earlier methods proposed were, like those of Briggs, purely arithmetical, and for a long time logarithms were regarded from the point of view indicated by their name, that is to say, as depending on the theory of compounded ratios.

The oxygen and hydrogen, for example, into which water may be resolved are not in strictness indifferent one to the other, since both are members of an order regulated according to laws of combination in definite ratios.

If now the assemblage be brought into any other position relative to the earth, without alteration of the mutual distances, this is equivalent to a rotation of the directions of the forces relatively to the assemblage, the ratios of the forces remaining unaltered.

The velocities referred to are the velocities of the various points of the body in any imagined motion of the body through the position in question; they obviously bear to one another the same ratios as the corresponding infinitesimal displacements.

Hence these three forces will be concurrent, and their ratios wifi be given by a triangle of forces.

In any general dynamical equation the dimensions of each term in the fundamental units must be the same, for a change of units would otherwise alter the various terms in different ratios.

For any particular root, the equations (5) determine the ratios of the quantities Af, A1,.

The amplitudes of oscilla Ia tion of the various particles have definite ratios to one another, and the phases are in agreement, the absolute amplitude (depending on C) and the phase-constant () being alone arbitrary.

For the condition of equilibrium of forces not parallel is that they shall be represented in direction and magnitude by the sides and diagonals of certain parallelograms, and of parallel forces that they shall divide certain straight lines in certain ratios; and the parallel projection of a parallelogram is a parallelogram, and that of a straight line divided in a given ratio is a straight line divided in the same ratio.

The comparative motion of the first driver and last follower is obtained by combining the proportions expressing by their terms the velocity ratios and by their signs the directional relations of the several elementary combinations of which the train consists.

These velocity ratios are known by the construction of the mechanism, and are independent of the absolute speed.

Spherical aberration and changes of the sine ratios are often represented graphically as functions of the aperture, in the same way as the deviations of two astigmatic image surfaces of the image plane of the axis point are represented as functions of the angles of the field of view.

Also most fractions cannot be expressed exactly as decimals; and this is also the case for surds and logarithms, as well as for the numbers expressing certain ratios which arise out of geometrical relations.

Divide SX internally at A and externally at A', so that the ratios SA/AX and SA'/A'X are each equal to the eccentricity.

He needs to calculate the leverage ratios.

Nitrogen and carbon isotope ratios in human bone collagen, for instance, tell us about diet.

To get significantly higher compression ratios, a lossy compression method, such as JPEG, is required.

The use of alloy brings thoughts of benefits from being able to run higher compression ratios.

A future of controlled fertility and rapidly changing roles of women make projections of sex ratios highly conjectural.

First old-age dependency ratios are misleading an aging society by definition has a much smaller proportion of children to support.

Research projects typically involve interdisciplinary teams where we provide expertise in diatom analysis or the use of isotope ratios in diatom analysis or the use of isotope ratios in diatoms.

In this article we use a simple framework to examine how these two ratios should behave in long-run equilibrium.

The ratios greatly exceed findings around ' non-combustion ' urban sites.

A sports gearshift linkage for the Getrag 5-speed manual gearbox provides crisp, short throws between ratios.

Hazard ratios were calculated using Cox proportional hazard ratios were calculated using Cox proportional hazards models that adjusted for potential confounders.

Rechargeable electric cells offer a clue, but remain ludicrously inefficient in power to weight ratios when compared to the internal combustion engine.

Observational studies have reported odds ratios for women with BV of between 1.4 and 6.9 for these adverse outcomes.

Courses were heavily oversubscribed often with ratios of one to ten for each place.

Confidence intervals are shown only on the graphs of standardized mortality ratios for deaths in the local areas.

You should always consider what assistance you will need and adjust ratios as necessary, depending on your program and meeting place.

Cost effectiveness will be assessed using incremental cost effectiveness ratios (ICERs) based on the additional costs incurred per additional informed choice offered.

Continuous odds ratios for trend with proximity to sites were estimated.

The study will focus on the use of stable isotope ratios to identify trophic positioning between species.

The attached spreadsheet gives a list of the best ratios for the three room sizes tested.

Beside the He-like triplets, Fe XXI line ratios are used to obtain plasma densities.

They desired to assign simple whole numbers to everything -- and in particular they assigned ratios of numbers to musical intervals.

The astonishing variety of ratios in which carbon and hydrogen combine was not at first realized.

A point of high practical interest is the ratio of carcase weight to fasted live weight, and in the case of prizewinning carcases these ratios usually fluctuate within very narrow limits.

The answer is that though the ratios between the prices of the various grades alter, the prices of all of them move generally together, and that the " futures " of the Exchange at least provide a hedge against the latter movements.

The actual values of the topic parameters can then readily be expressed in terms of the elements of the crystals (the axial ratios and angles), the density, and the molecular weight (see Groth, Physikalische Krystallographie, or Chemical Crystallography).

The validity of his fundamental position was impaired by the absence of a well-constituted theory of series; the notation employed was inconvenient, and was abandoned by its inventor in the second edition of his Mecanique; while his scruples as to the admission into analytical investigations of the idea of limits or vanishing ratios have long since been laid aside as idle.

A ratio of 48 to is the minimum allowable; better 60 to 75 to 1, and for highly tempered steel ropes ratios of 150 to i or more are desirable.

The osculating plane of a stream line in steady motion contains the resultant acceleration, the direction ratios of which are du du, du d i g d g 2 _ dH dx +v dy + dz - 2v?

This inexactness may, however, be ignored, since the numbers or ratios in question can generally be obtained to a greater degree of accuracy than the other numbers involved in the calculation (see (ii) (b) below).

In the first series of circles, reckoning from the centre the openings are so made as to divide the respective circumferences, on which they are found, in aliquot parts bearing to each other the ratios of the numbers 2, 4, 5, 6, 8, 10, 12, 16, 20,.

These results are for the centre deflections of main girders, but Stone infers that the augmentation of stress for any member, due to causes included in impact allowance, will be the same percentage for the same ratios of live to dead load stresses.

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