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 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 data with the precise location of the spacecraft makes it possible to determine sea-surface height to within a few centimetres ( about one inch ).

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 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 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 a side-long song with an assortment of hard rock songs, an instrumental and even some comic songs, it was quickly cited as landmark work in progressive rock.

Combining rock with an orchestra and choir, the concert was recorded and released on 18 May, where it topped the UK album charts on entry for one week.

Combining elements of the short punt and spread formations (" spread " in that it had receivers spread widely instead of close to or behind the interior line players ), it was said to be like a " shotgun " in spraying receivers around the field.

Combining autobiographical and psychoanalytic elements, the novel was named after the lonesome wolf of the steppes.

Combining daring sex scenes with sentimental reconciliations and Sir Novelty's buffoonery, Love's Last Shift offered something for everybody, and was a great box-office hit.

Combining structural and horticultural elements was not unfamiliar to the Commission ’ s architects.

The first attempt to produce such database was the FAU Aibo Emotion Corpus for CEICES ( Combining Efforts for Improving Automatic Classification of Emotional User States ), which was developed based on a realistic context of children ( age 10-13 ) playing with Sony ’ s Aibo robot-pet.

Combining a market segmentation strategy with a product differentiation strategy was seen as an effective way of matching a firm ’ s product strategy ( supply side ) to the characteristics of your target market segments ( demand side ).

Combining the simple coalescence model of cladogenesis with rare HGT gene transfer events suggest there was no single last common ancestor that contained all of the genes ancestral to those shared among the three domains of life.

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 ).

In Dreamwave Productions's 21st Century re-imagining of the Generation One universe, it was revealed gradually that the Constructicons were responsible for pioneering the Combining process through a series of experiments on themselves, thus creating Devastator.

Combining a production-based V8 engine from the V8 and V8 Vantage models, the engine was refined by Aston Martin Tickford in order to handle the increased output.

Combining a forceful personality, organizing genius, and liberal practical theology, Hale was active in raising the tone of American life for half a century.

Combining the skills and knowledge of five military groups, the DRM was created to close the intelligence gaps of the 1991 Gulf War.

Combining the collective band members ' influences of rock, blues, classical, and 1960s British soul, it was an immediately challenging effort, though sometimes criticised for a slightly disappointing recording quality.

Combining this with cryptic references in Ovid implying he was younger than his contemporary Tibullus, a birthdate in the early 40s seems appropriate.

Combining earnings from both passenger and military rates, Guthrie ensured that the line's infrastructure at the close of the war was superior to what it had been before the war started.

Combining the nameplate divisions, Fisher Body, and GM Assembly into two groups, C-P-C ( Chevrolet, Pontiac, Canada ) to build small cars and B-O-C ( Buick, Oldsmobile, Cadillac ) to build large cars, the effort was subsequently criticized for creating chaos within the company.

Combining his memory and cartooning ability with his international travels, in the process he produced one of the few images of the sultan, a man who was generally unwilling to be photographed or have his image drawn.

Combining their powers with that of the Worldsoul, they imprison Krona and reform the Earth, restoring everything and everyone to the way it was prior to its destruction, even the supervillains of the planet.