Another definition of the Bessel function, for integer values of, is possible using an integral representation:

Another integral representation is:

Another way to define the Bessel functions is the Poisson representation formula and the Mehler-Sonine formula:

Another common representation of the Dhrystone benchmark is the DMIPS ( Dhrystone MIPS ) obtained when the Dhrystone score is divided by 1757 ( the number of Dhrystones per second obtained on the VAX 11 / 780, nominally a 1 MIPS machine ).

Another explanation is that Punch ’ s treatment of his shrewish wife, as well as others, is so exaggerated that it is clearly not a representation of good behavior, but more of a commentary on how we all have felt toward someone at one time or another, especially a significant other.

Another is that the formal representation of such points, the Kronecker delta function is unphysical, because it cannot be normalized.

Another choice would be to replace each letter with its binary representation, transpose that, and then convert the new binary string into the corresponding ASCII characters.

) Another interchange format, intended to be more compact, easier to parse, and unique for any abstract S-expression, is the " canonical representation " which only allows verbatim strings, and prohibits whitespace as formatting outside strings.

Another useful representation is available by means of double Taylor expansion of e < sup >( ln x − μ )< sup > 2 </ sup >/( 2σ < sup > 2 </ sup >)</ sup >.

Another application of the SVD is that it provides an explicit representation of the range and null space of a matrix M. The right-singular vectors corresponding to vanishing singular values of M span the null space of M.

Another common representation is in ( North ), ( East ) and ( Down ) coordinates.

Another possible representation is the State transition table.

Another way of putting it is that the Poincaré group is a group extension of the Lorentz group by a vector representation of it.

Another matrix representation for a graph is the incidence matrix.

Another early representation is in a mosaic in the Church of San Pietro in Vincoli ( Rome, Italy ), probably made in the year 682.

Another rearrangement shows that the Jacobi identity is equivalent to the following identity between the operators of the adjoint representation:

Another achievement in robotics was the discovery of new approaches for robot spatial representation such as 3D occupancy grids.

Another early representation theorem is now known as Stone's representation theorem for distributive lattices ( the name honors Marshall Harvey Stone, who first proved it ).

Another representation for rotations in 3D space is the quaternions.

Another early cloister, that of the abbey of Saint-Riquier ( 790-99 ), took a triangular shape, with chapels at the corners, in conscious representation of the Trinity.

Another representation of Kamadhenu shows her with the body of a white Zebu cow, crowned woman's head, colourful eagle wings and a peacock's tail.

Another case of Stone duality is Birkhoff's representation theorem stating a duality between finite partial orders and finite distributive lattices.

Another popular representation of is Ivo between a rich man and a poor one.

Another Reb writing under similar circumstances before Atlanta reported: `` the Yankees keep shooting so I am afraid they will knock over my ink, so I will close ''.

Another problem was that the gradual identification of more and more chemically similar and indistinguishable lanthanides, which were of an uncertain number, led to inconsistency and uncertainty in the numbering of all elements at least from lutetium ( element 71 ) onwards ( hafnium was not known at this time ).

Another group of animals discovered subsequently, whose filtering mechanism looked similar, was also included in " Bryozoa " until 1869, when the two groups were noted to be very different internally.

Another style was to truncate the last 3 digits and append K, essentially using K as a decimal prefix similar to SI, but always truncating to the next lower whole number instead of rounding to the nearest.

Another similar game took place between Rutgers and Columbia University in 1870.

Another American writer in a similar vein was Thorne Smith, whose works ( such as Topper and The Night Life of the Gods ) were popular and influential, and often adapted for film and television.

Another similar program is the National Civilian Community Corps, part of the AmeriCorps program, a team-based national service program to which 18-to 24-year-olds dedicate 10 months of their time annually.

Another difference between intraframe and interframe compression is that with intraframe systems, each frame uses a similar amount of data.

Another tribe with a similar name but with no known links were the Fir Domnann in the province of Connacht.

Another tribe with a similar name but with no known links was the Fir Domnann in the province of Connacht.

Another column reported on the discoveries made by University of Michigan professor Robert Axelrod in his computer tournament pitting many iterated prisoner's dilemma strategies against each other, and a follow-up column discussed a similar tournament that Hofstadter and his graduate student Marek Lugowski organized.

Another possible explanation for the phenomenon of déjà vu is the occurrence of " cryptomnesia ", which is where information learned is forgotten but nevertheless stored in the brain, and similar occurrences invoke the contained knowledge, leading to a feeling of familiarity because of the situation, event or emotional / vocal content, known as " déjà vu ".

Another way of avoiding some of the rituals and costs of a traditional funeral is for the decedent to donate some or all of her or his body to a medical school or similar institution for the purpose of instruction in anatomy, or for similar purposes.

Another similar system used to write the Greek language was the Cypriot syllabary ( also a descendant of Linear A via the intermediate Cypro-Minoan syllabary ), which is closely related to Linear B but uses somewhat different syllabic conventions to represent phoneme sequences.

Another example of Gothic parody in a similar vein is The Heroine by Eaton Stannard Barrett ( 1813 ).

Another similar proposition suggested that Kallinikos had in fact discovered calcium phosphide.

Another complication exists with South Africa, in which the President is in fact elected by the National Assembly ( legislature ) and is thus similar, in principle, to a head of government in a parliamentary system but also, in addition, is recognized as the nation's head of state.

Another difference between native and non-native Hausa is the omission of vowel length in words and change in the standard tone of native Hausa dialects ( ranging from native Fulani and Tuareg Hausa-speakers omitting tone altogether, to Hausa speakers with Gur or Yoruba mother tongues using additional tonal structures similar to those used in their native languages ).

Another chain with similar orientation is the Tuamotu Archipelago ; its older, northerly trend is the Line Islands.

* Proximity effect: Another similar effect that also increases the resistance of the wire at high frequencies is proximity effect, which occurs in parallel wires that lie close to each other.

* Spiderweb coils: Another construction technique with similar advantages is flat spiral coils.

Another similar material is powdered iron cemented with a binder.

Another author states that it is likely both blacks and whites in the antebellum south accepted jumping the broom as a quasi-marriage ceremony since the practice or symbols used in it ( specifically the broom ) had similar meanings in their respective cultures.

Another hero of the Grail quest, Sir Galahad ( a 13th-century literary invention of monks from St. Bernard's Cistercian Order ) was depicted bearing a shield with the cross of Saint George, similar to the Templars ' insignia: this version presented the " Holy " Grail as a Christian relic.