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Page "Inner product space" ¶ 28
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Combining and inner
Combining the spectral energy distribution with the surface brightness profile yields a smaller estimate of the radius of the inner hole, 1-10 AU.

Combining and product
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 features from the Safecast protection system and FLEXlm, FlexNet featured product activation and executable wrapping, supporting floating licensing and node locked licensing models.

Combining and its
Combining features of Roman and Byzantine buildings and other local traditions, Romanesque architecture is known by its massive quality, thick walls, round arches, sturdy piers, groin vaults, large towers and decorative arcading.
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 Thales ' theorem with its converse we get that:
" Combining Software Games with Education: Evaluation of its Educational Effectiveness.
Combining meat with lentils and pulses, whether in simple preparations or in elaborate dishes such as haleem, is also a distinctively Pakistani touch not commonly seen in neighbouring India where a substantial number of its population are vegetarians.
Combining the energy of punk with the electronic pulse of DAF, it released its debut single " Isn't It Funny How Your Body Works " on 7 January 1985 on its own label, Power of Voice Communications, and its music soon became a fixture on the club scene.
Combining British and provincial forces, the expedition failed disastrously when some of its transports foundered on the shores of the Saint Lawrence River.
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.
Combining its existing operations with Banco Real will make Banco Santander Brazil the third largest private bank in the country, after Bradesco and Itaú.
Combining intricate guitar and a distinctly electronica keyboard sound with a hard hitting and rock solid rock rhythm section, the band is known for its lengthy progressive instrumental jams that get the crowd up and moving.
Combining street dance and butoh, Holistic Strata thrills with its hurricane of digital imagery, while in Haptic an exquisite visual and sonic experience is created as bright hues shift and morph with Umeda's fluid movements.
Combining these two possible differences between the operator and the average firm in the economy, the operator ’ s retail prices ( revenue ) should change at the rate of inflation, minus ( conversely, plus ) the extent to which its input prices inflate less than ( conversely, greater than ) the rate of inflation, and minus ( conversely, plus ) the extent to which the operator ’ s productivity is expected to improve at a rate that is greater than ( conversely, less than ) the average firm in the economy.
Combining these theorems, a uniform space is totally bounded if and only if its completion is compact.
Combining its container fleet with Hanjin's made Hanjin-Senator the seventh largest container shipping company in the world.
Combining can either occur such that multiple interfaces share one logical address ( i. e. MAC or IP ), or it can be done such that each interface has its own address.

Combining and first
Combining information technologies and statistics, the stylometry allows to scan various linguistic units: words, parts of speech, sounds ... Based on the frequencies of Greek letters, a first study of Dietmar Najock particularly shows the internal cohesion of the Iliad and the Odyssey.
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 his pastoral and literary gifts, Beza wrote the first drama produced in French, Abrahm Sacrifiant ; a play that is an antecedent to the work of Racine and is still occasionally produced today.
Combining this with our first equation gives
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 the first and the second claim entails that an ideal scientific theory says definite things about genuinely existing entities.
Combining this with their offense, they won their first 13 games, including a 40 – 21 rout of the two-time defending Super Bowl Champions, New England.
Combining their first names, Don and Russ, they renamed their company Donruss and continued to produce candy and gum.
Combining these three principles gives the first law of thermodynamics.
Combining live footage of Elbow's September 2009 live performance at Manchester Evening News Arena with an in depth interview between Guy Garvey and The South Bank Show presenter Melvyn Bragg, the first half of the documentary focused on Elbow's early career and attempts to get a record deal.
Combining the best of the British food scene alongside a live music soundtrack, the first collaborators to confirm included KT Tunstall, The Feeling, Richard Corrigan, Mark Hix, Rachel Allen, Jay Rayner, Monty Don and Sarah Don and Stevie Parle ( Initially, confused press reports misidentified Mr. Parle as Steve Earle ).
Combining her culinary and fashion style tastes, Lakshmi launched her first line of jewelry in 2009.
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 and symmetry
Combining the CP symmetry with simultaneous time reversal ( T ) produces a combined symmetry called CPT symmetry.
Combining the symmetry condition with the restriction that graphs be cubic ( i. e. all vertices have degree 3 ) yields quite a strong condition, and such graphs are rare enough to be listed.

Combining and gives
Combining gives
Combining these into one equation for ƒ gives
Combining these two formulae gives the iteration formula:
Combining these gives
Combining light curves with spectral data often gives a clue as to the changes that occur in a variable star.
Combining the above equations gives a formula for ω:
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 permutations gives Furthermore,
Combining these equations gives the celebrated Black-Scholes equation
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 gives a differential equation satisfied by w
Combining like terms gives
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 these expressions with the far-field expression for E < sub > θ </ sub > for a short dipole gives
Combining Equations ( 2 ) and ( 3 ) gives
Combining the two equations gives the dependence of θ on the effective applied voltage as:
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 two gives a bi-invariant measure:
Combining constants gives
Combining the future price with farmer's average production gives the estimated revenue of the farmer.
Combining these results gives recursion relations for the Clebsch – Gordan
Combining the above with the expression for Mach number gives EAS as a function of impact pressure and static pressure ( valid for subsonic flow ):

0.731 seconds.