Combining these into one equation for ƒ gives

Combining these together yields the familiar form used in the Schrödinger equation:

Combining these together yields the Schrödinger Hamilton for the N-particle case:

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

Combining these three institutions created a formidable force whose components supplemented each other's strengths and minimized their weaknesses.

Combining these data suggests that Senegal was first populated from the north and east in several waves of migration, the last being that of the Wolof, the Fulani and the Serer.

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 these two formulae gives the iteration formula:

Combining these gives

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 one of these additive primary colors with another in equal amounts produces the additive secondary colors cyan, magenta, and yellow.

Combining these permutations gives Furthermore,

Combining these two equations immediately yields

Combining mefloquine with other drugs that cause similar effects, such as quinine or quinidine, can increase these effects.

Combining these equations gives the celebrated Black-Scholes equation

Combining these to connect modern philanthropy with its entire previous history, " philanthropy " may best be defined as, " private initiatives for public good, focusing on quality of life ".

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

Combining these numbers yields a range of 22, 000 – 58, 000 men for the Allies, with 3, 300 – 11, 250 more heavily armoured marines.

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

Combining these gives a differential equation satisfied by w

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 light curves with spectral data often gives a clue as to the changes that occur in a variable star.

Combining fossil evidence ( Miller & Bowman, 1956 ) and paleobiogeographical considerations with the molecular data indicates that the Yellow-billed Magpie's ancestors became isolated in California quite soon after the ancestral magpies colonized North America ( which probably happened some 3-4 mya ) due to early ice ages and the ongoing uplift of the Sierra Nevada, but that during interglacials there occurred some gene flow between the Yellow-and Black-billed magpies until reproductive isolation was fully achieved in the Pleistocene.

Combining data from nDNA c-myc exon 3, RAG-1 and myoglobin intron 2 sequences with that of mtDNA cytochrome b ( Ericson & Johansson 2003 ) supports their scenario as does a restudy using the myoglobin intron 2 and cytochrome b sequences of a wider ( though not denser ) range of taxa ( Alström et al.

Combining those data with known geographic ranges of each language produced strong support for an Anatolian origin approximately 8000-9500 years ago.

Combining the three elements of the prior probability, the data, and the loss function then allows decisions to be based on maximizing the subjective expected utility, a concept introduced by Leonard J.

Combining theoretical population genetics with molecular evolution data, he also developed the neutral theory of molecular evolution in which genetic drift is the main force changing allele frequencies.

; Combining disparate data sets: Each data source is disparate and as such is not designed to support EII.

* Lillian Clark, I-Hsien Ting, Chris Kimble, Peter Wright, Daniel Kudenko ( 2006 )" Combining ethnographic and clickstream data to identify user Web browsing strategies " Journal of Information Research, Vol.

Combining both of these, e. g., using the model and system data to make predictions about the system, is referred to as calibrated prediction.

Combining data from both manual and virtual palpation protocols allows achieving supplementary analysis :-registration protocols aiming at building reference frames for motion representation according reproducible clinical conventions ;-to modelize joint kinematics accurately during musculoskeletal analysis ;-to align precisely orthopaedic tools according to the individual anatomy of a patient ; or-to wrap and to scale surface textures to motion data when creating animation characters.

Combining multi-dimensional algebraic notation with the relational data model was the obvious answer.

Combining their data, they found the most likely planet mass to be 1. 5 times the mass of Jupiter.

Combining TOA data from several receivers at different known locations ( differential time of arrival, DTOA ) can provide an estimate of position even in the absence of knowledge of the time of transmission.

Combining HyperCard's excellent forms system with data from DAM resulted in something that no-one had ever seen before data-driven GUI apps.

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,