" Another version of Hahn – Banach theorem is known as Hahn – Banach separation theorem or the separating hyperplane theorem, and has numerous uses in convex geometry.

Another version of Hahn – Banach theorem states that if V is a vector space over the scalar field K ( either the real numbers R or the complex numbers C ), if is a seminorm, and is a K-linear functional on a K-linear subspace U of V which is dominated by on U in absolute value,

Another version of Hahn – Banach theorem is known as the Hahn – Banach separation theorem.

Another way of stating the no-cloning theorem is that amplification of a quantum signal can only happen with respect to some orthogonal basis.

Another way of stating Rice's theorem that is more useful in computability theory follows.

Another important step in computability theory was Rice's theorem, which states that for all non-trivial properties of partial functions, it is undecidable whether a Turing machine computes a partial function with that property.

Another theorem of this type is the Four color theorem whose computer generated proof is too long to be read by a human.

Another reason for random jitter to have a distribution like this is due to the central limit theorem.

Another consequence of the Buckingham π theorem of dimensional analysis is that the functional dependence between a certain number ( say, n ) of variables can be reduced by the number ( say, k ) of independent dimensions occurring in those variables to give a set of p = n − k independent, dimensionless quantities.

Another method based on the Cayley – Hamilton theorem finds an identity using the matrices ' characteristic polynomial, producing a more effective equation for A < sup > k </ sup > in which a scalar is raised to the required power, rather than an entire matrix.

Another way to phrase the spectral theorem is that a real n × n matrix A is symmetric if and only if there is an orthonormal basis of consisting of eigenvectors for A.

Another theorem about the pedal triangle of P and the antipedal triangle of P < sup >-1 </ sup > is that the product of their areas equals the square of the area of triangle ABC.

Another method based on Vincent's theorem is the Vincent – Akritas – Strzeboński ( VAS ) method ; it has been shown that the VAS ( continued fractions ) method is faster than the fastest implementation of the VCA ( bisection ) method, a fact that was independently confirmed elsewhere ; more precisely, for the Mignotte polynomials of high degree VAS is about 50, 000 times faster than the fastest implementation of VCA.

Another consequence of the completeness theorem is that it justifies the conception of infinitesimals as actual infinitely small nonzero quantities, based on the existence of non-standard models as equally legitimate to standard ones.

Another way of stating the spectral theorem is to say that normal matrices are precisely those matrices that can be represented by a diagonal matrix with respect to a properly chosen orthonormal basis of C < sup > n </ sup >.

Another higher-dimensional generalization of Faltings ' theorem is the Bombieri – Lang conjecture that if X is a pseudo-canonical variety ( i. e., variety of general type ) over a number field k, then X ( k ) is not Zariski dense in X.

Another way of looking at the theorem is to start with the definition of the Gibbs free energy ( G ), G

Another joke concerns two mathematicians who are discussing a theorem ; the first mathematician says that the theorem is " trivial ".

Another no-go theorem concerning hidden variable theories is the Kochen-Specker theorem.

Another European tour followed in 1973, including air shows in Tehran, Iran, England, France, Spain, Turkey, Greece, and Italy.

Another study shows that people who experience SWS during the first half of their sleep cycle compared to subjects who did not, showed better recall of information.

Another US Geological Survey estimate from September 2011 shows that the Khanashin carbonatites in the Helmand Province of the country have an estimated 1 million metric tonnes of rare earth elements.

Another shows a phallus accompanied by the text, ' mansueta tene ': " Handle with care ".

" Another combination that shows up from time to time is Huey in blue, Dewey in red, and Louie in green.

) Another popular feature of his shows was the annual Festive Fifty countdown of his listeners ' favourite records of the year.

Another source of union news is the Workers Independent News, a news organisation providing radio articles to independent and syndicated radio shows in the United States.

Another controversial scene in the episode " Tales of Terror " saw the Meldrews visit Ronnie and Mildred on the understanding that Mildred had gone upstairs during a game of Happy Families and not returned ; Ronnie then shows her feet hanging outside of the window, revealing that she has committed suicide.

Another leading Orthodox online outlet, Aish. com, also shows broad acceptance of the Zohar by referencing it in many of its articles.

Another research in northeastern Japan shows that there is one warm / humid interval from AD 750 to 1200, and two cold / dry intervals from AD 1 to 750 and 1200 to present.

; Celebrities: Another subset of fly-on-the-wall-style shows involves celebrities.

Another sub-genre of reality TV is " reality competition " or so-called " reality game shows ," which follow the format of non-tournament elimination contests.

Another type of reference circuit shows how to configure integrated circuits into function blocks, which Analog Devices provides for electrical design engineers.

Another episode, " The Mysterious Ticking Noise ", shows Snape, Harry, Ron, Hermione, and Dumbledore being killed by a pipe bomb placed by Voldemort inside a turducken ; the episode being the seventeenth most viewed video of all time as of 2008 and the winner for " Best Comedy " of the year 2007 at YouTube.

An alternate version of the Ænima artwork shows a painting of Bill Hicks, calling him " Another Dead Hero ," and mentions of Hicks are found both in the liner notes and on the record.

Another example of the way the shows stayed within the law was the fan dance, in which a naked dancer's body was concealed by her fans and those of her attendants, until the end of her act in when she posed naked for a brief interval whilst standing still.

Another theory for the decline might be, as research shows, that species from the Southern Hemisphere are on average 4. 6 million years old, compared to an average 2. 9 million years old for the Northern Hemisphere: Researchers believe this age difference is because of the history of severe Ice Ages in the Northern Hemisphere, which may drive older species to extinction.

Another variation that is sometimes shown on TV shows is done by performing a normal ' Balducci ', filming the audience reaction, then later returning and performing the illusion with the aid of wires to get more height or to get a shot from the front or underneath.

( Another 1981 interview, posted on YouTube, shows Niven on The Merv Griffin Show while publicizing his novel Go Slowly, Come Back Quickly.

Another example of this " Great Forgetting " may be found on the boardwalk of Blankenberge, a popular coastal resort, where a monument shows a colonialist bringing " civilization " to the black child at his feet.

Another portrait of Kiki titled " Reclining Nude with Toile de Jouy ," shows her lying naked against an ivory-white background.

Another war story shows him on the Motor Torpedo Boat PT-109 with a young John F. Kennedy.

Another episode shows a rerun of Krusty's show from 1961 in which he interviews AFL-CIO president George Meany.

Another film by John Carpenter " Village of the Damned ", based on John Wyndham's " The Midwich Cuckoos " shows aliens living on Earth whilst masquerading as human children.