Combining the 2 four lemmas now proves the entire five lemma.

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

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 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 >):

Combining this with the p-parity theorem by and the announced proof of the main conjecture of Iwasawa theory for GL ( 2 ) by, they conclude that a positive proportion of elliptic curves over Q have analytic rank zero, and hence, by, satisfy the Birch and Swinnerton-Dyer conjecture.

Combining these results with equation ( 2 ) yields

Combining Equations ( 2 ) and ( 3 ) gives

* Combining Diacritical Marks Supplement ( 1DC0 – 1DFF ), versions 4. 1 to 5. 2

* Combining Half Marks ( FE20 – FE2F ), versions 1. 0, updates in 5. 2

Combining the 2 names into one is another common way to form a hypocorism:

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 one of these alternatives with the conclusion reached in 4, it seems that photon 2, before the measurement took place, possessed both the property of being able to pass with certainty a test of vertical polarization and the property of being able to pass with certainty a test of polarization at either 45 ° or 135 °.

Combining the various options results in more than 50 different configurations, but the major variants are defined by their operation caliber ( 92 / 96 / 98 ), operation ( F / G / D ) and combination of optional items ( Inox / Brigadier slide / Compact length ):

Combining elements of blues, avant-garde, free jazz and other genres of American music, the album is regarded as an important work of experimental music and a major influence on genres such as alternative rock and post-punk.

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 current events and memories of his past narrated with an ironic tone, Benigni then begins a journey of poetry and passion through the world of the Divine Comedy.

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

Combining small town values with progressive policies, he took the Tories through three successive electoral victories winning majority governments in 1951, 1955 and 1959.

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 all the aspects of traditional platforming with one single aspect of role-playing video games, the game involves the player navigating a creature through a number of side-scrolling levels while undergoing bodily evolution to cope with ever-changing environments.

Combining their energies, the various Lantern Corps use Dove as a human bullet shooting the Anti-Monitor through the head and pulling it back into the Battery.

Combining real-world view with CGI can be done by projecting the CGI through a partially reflective mirror and viewing the real world directly.

Combining elements of paganism ( Constantine's experience in the Occult is heavily based on Egyptian Mythology ) and the Jungian concepts of Anima and Animus ( The Secret Marriage of the Psyche ), the Grimoire attempts to blend the earth based reverence of the Dehara ( gods of the Wraeththu ) and Awareness of Self, through visualisation, giving a framework to the Practitioner for the exploration of this spiritual way.

There are certain stories in the black community that inform us all .” Combining his humanitarian instincts and personal experiences, Franklin stands out as a visionary for community improvement through his films.

Combining the two groups, the four teams in each band then played a mini knock-out tournament consisting of two semi-finals, a championship, and a consolation match, so that the first-and second-ranked teams from each of the original groups were playing for first through fourth place in the tournament overall ; the third-and fourth-ranked teams for fifth through eighth ; and the fifth-and sixth-ranked teams for ninth through twelfth.

Combining didactic with experiential learning, AMSA Academy courses take medical students through the core competencies of leadership and project implementation, while building on key principles of important topics in medicine.