Combining the above, a map τ is said to be a measure-preserving transformation of X, if it is a map from X to itself, it is Σ-measurable, and is measure-preserving.

Combining both the above relations we can say:

Combining the above equations gives a formula for ω:

Combining the SI equation for capacitance with the above equation for the energy stored in a capacitance, for a flat-plate capacitor the energy stored is:

Combining the above methods for categorization, the main instruments can be organized into a table as follows:

Combining the above relations, we have

Combining with the above identity, we get

Combining the above two theorems implies that Hodge conjecture is true for Hodge classes of degree 2n − 2.

Combining these methods with the reciprocal measurements from above leads to the formulas for the resistances being

Combining the above equations together

Combining this with the above one obtains: for a subextension corresponding to,

Combining the above with the expression for Mach number gives an expression for TAS as a function of impact pressure, static pressure and static air temperature ( valid for subsonic flow ):

Combining these equations give the above results.

Combining the above with the expression for Mach number gives EAS as a function of impact pressure and static pressure ( valid for subsonic flow ):

Combining the two claims above reveals that the Perron-Frobenius eigenvalue r is simple root of the characteristic polynomial.

Combining these two, we have the property that if and only if

Combining two unrelated words is another good method.

Combining his two non-sequential services as Secretary of Defense, the second longest serving is Donald Rumsfeld, who served merely ten days fewer than McNamara.

Combining these two formulae gives the iteration formula:

Combining the two classifications results in the grouping below.

* Mixed dose – Combining two kinds of insulin in one injection.

Combining these two equations gives an expression for the molar mass in terms of the vapour density for conditions of known pressure and temperature.

Combining these two equations immediately yields

Combining these two equations to eliminate the pressure, one arrives at the result for the DALR,

Combining the two kinds of fields into a single algebra requires the introduction of a Z < sub > 2 </ sub >- grading under which the bosons are the even elements and the fermions are the odd elements.

Combining EEG with fMRI is hence potentially powerful because the two have complementary strengths — EEG has high temporal resolution, and fMRI high spatial resolution.

Combining these two fMRI studies, one could hypothesize that the alien behavior that is unaccompanied by a sense of agency emerges due to autonomous activity in the primary motor cortex acting independently of premotor cortex pre-activating influences that would normally be associated with the emergence of a sense of agency linked to the action.

Combining the two Old English words " wascan " and " dūn " would actually have meant " washed hill " and not " washing hill ".

Combining this method with the use of two inch and other types of brushes as well as painting knives allowed him to paint trees, water, clouds, and mountains in a matter of seconds.

Combining skilled defense and a reputation as one of the game's best faceoff men using his innovative curved stick, Mikita led the league in scoring four times in the decade, tying Bobby Hull's single-season scoring mark in 1966 – 67 with 97 points ( a mark broken two years later by former teammate Phil Esposito and currently held by Wayne Gretzky ).

Combining these two, if we start with a time signal which is both discrete and periodic, we get a frequency spectrum which is both periodic and discrete.

Combining these two components with computers provided by IBM, Step Saver began selling their new multi-user solution.

Combining these two viewpoints resulted in Guild socialism, a political philosophy he began to argue for from about 1910.

Combining two equal glide reflections gives a pure translation with a translation vector that is twice that of the glide reflection, so the even powers of the glide reflection form a translation group.

Combining DNA barcoding, morphology and food plant records also revealed a complex of two sympatric species that are diagnosable by their DNA barcodes and their facies in Costa Rica.

Combining these corrections with estimates of successive murder probabilities by affluent non-smokers, Mathematics Professor Ray Hill found that the probability of Clark's guilt could be as low as 10 % ( based solely on the fact of two unexplained child deaths, and before any other evidence was considered ).

Combining two unrelated words is another good method.

Combining the two sources of information to yield a complete functional understanding of the human brain is an ongoing challenge for neuroscience.

Combining these equations gives the celebrated Black-Scholes equation

Combining these equations yields a basic equation that models the normalised delay through a single logic gate:

Combining the two equations gives the dependence of θ on the effective applied voltage as:

Combining these two equations produces a complex expression for P. For the DC Kerr effect, we can neglect all except the linear terms and those in:

Combining these equations and writing them in terms of the dimensionless potential, position, and ion speed,

Combining these two equations leads to Bohr's expression for the orbital radius in terms of the principal quantum number, n:

Combining these equations gives

Combining this equation with Maxwell's equations:

Combining the two equations gives: