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Combining the terms with the same value of m < sub > 1 </ sub > + m < sub > 2 </ sub > + ... + m < sub > n </ sub > = k and noticing that m < sub > j </ sub > has to be zero for j > n − k + 1 leads to a somewhat simpler formula expressed in terms of Bell polynomials B < sub > n, k </ sub >( x < sub > 1 </ sub >,..., x < sub > n − k + 1 </ sub >):
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Combining and terms
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 like terms gives
Combining these terms yields the total energy
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 this with the equation for the polarization, and taking only linear terms and those in χ < sup >( 3 )</ sup >| E < sub > ω </ sub >|< sup > 3 </ sup >:
" Combining these contributions, we may conclude that ingratiation is an illegitimate member of the social exchange family because the ingratiator presents himself as a party to one kind of exchange -- with one set of terms and conditions -- while in fact he is primarily engaged in another kind.
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 and with
Combining water with a cementitious material forms a cement paste by the process of hydration.
Combining the names of functional groups with the names of the parent alkanes generates a powerful systematic nomenclature for naming organic compounds.
Combining visual communication skills with the interactive communication skills of user interaction and online branding, graphic designers often work with software developers and web developers to create both the look and feel of a web site or software application and enhance the interactive experience of the user or web site visitor.
Combining an opioid such as hydrocodone with another analgesic can increase the effectiveness of the drug without increasing opioid-related side effects ( e. g., nausea, constipation, sedation ).
Combining certain increases, which can create small eyelet holes in the resulting fabric, with assorted decreases is key to creating knitted lace, a very open fabric resembling lace.
Combining Greek influences with contemporary French eroticism, she attempted to create an updated and idealized version of Lesbos in her salon.
Combining the likelihood principle with the law of likelihood yields the consequence that the parameter value which maximizes the likelihood function is the value which is most strongly supported by the evidence.
Combining the effects of a tripwire activated bounding fragmentation mine with a cluster bomb, it was devastating to massed attackers but required high maintenance due to the susceptibility of black powder to dampness.
Combining psychological realism with a mystic vision, it describes the swan's rape of Leda.
Combining this modification with the replacement of the 6-hydroxyl with a 6-methylene produces a compound some 1, 443 times more potent than morphine, stronger than the Bentley compounds such as etorphine.
Combining omnipotence with omniscience can yield the difficulty of whether or not a deity can pose a question to which the deity would not know the answer.
Combining punk rock with reggae, ska, R & B, and rockabilly, it went on to be acclaimed as one of the best rock records ever.
Combining phrenology with typology and graphology, he coined a global approach known as psychognomy.
" Combining the MPI characterization of the person with their IASP five-category pain profile is recommended for deriving the most useful case description.
Combining MAO inhibitors with certain legal prescription and over the counter medications can also lead to ( potentially fatal ) serotonin syndrome.
Combining lamotrigine with sodium valproate increases the risk of SJS.
Combining SMIL + VoiceXML or SMIL + MusicXML with RSS or Atom could be useful in the creation of an audible pseudo-podcast with embedded hyperlinks, while combining SMIL + SVG with VoiceXML and / or MusicXML would be useful in the creation of an automatically audio-enabled vector graphics animation with embedded hyperlinks.
Combining his interests in mathematics and theology, he compared the Christian trinity of Father, Son, and Holy Ghost with the three dimensions of space, and was attracted to the Hebrew conception of God as an absolute unity.
Combining with the equation for the pressure, one arrives at the dry adiabatic lapse rate,
Combining these forces with the undead armies he could raise, the final victory of Balor seemed imminent ; the Leveler would finally succeed in scouring all life from the face of the earth.
Combining and same
Combining Hobson's activation synthesis hypothesis with Solms ' findings, the continual-activation theory of dreaming presented by Jie Zhang proposes that dreaming is a result of brain activation and synthesis ; at the same time, dreaming and REM sleep are controlled by different brain mechanisms.
Combining marks mean editors cannot treat one code point as being the same as one unit for editing.
Combining animation with live action, the film opens on the same set where Dick Van Dyke's character, Bert, was shown as a pavement artist in the earlier film.
Combining LSD-influenced dancing, set design, costumes and their own versions of show tunes ( or original tunes in the same vein ), the Cockettes took to the stage every 6 weeks, performing prior to the Saturday midnight " Nocturnal Dream Show ".
Combining complex meter and composition with a hard-edged attack, the band was a fixture of the scene but failed to attain the same acclaim as their more well-known peers.
Combining and value
Combining them in a comprehensive package is simply a fantastic value.
Combining and <
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 ΔG < sup >< s > o </ s ></ sup > values from Bordwell thermodynamic cycles and ΔH < sup >< s > o </ s ></ sup > values found with Hess ' law can be helpful in determining entropy values which are not measured directly, and therefore must be calculated through alternative paths.
Combining this fact with the fact that every member of one of these equivalence classes belongs to one of the sets S < sub > i </ sub >, this gives a many-to-one relation from states of A to equivalence classes, implying that the number of equivalence classes is finite and at most n.
Combining these expressions with the far-field expression for E < sub > θ </ sub > for a short dipole gives
Combining this result with Ohm's law for R < sub > E </ sub >, V < sub > e </ sub > can be eliminated, to find :< ref group =" nb "> Notice that as A < sub > v </ sub > → ∞, V < sub > e </ sub > → 0 and I < sub > b </ sub > → I < sub > X </ sub >.</ ref >
Combining with Newton's second law for the hanging masses, and solving for T < sub > 1 </ sub >, T < sub > 2 </ sub >, and a, we get:
Combining the functional equation and the fact that Γ ( s ) is zero at all integers less than or equal to zero yields that ζ < sub > K </ sub >( s ) vanishes at all negative even integers.
< li > Combining these calculated values to be able to deduce quickly whether, for each group of digits, that group is going to propagate a carry that comes in from the right .</ li ></ ol >
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