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Finding an optimal solution to the above problem results in a quantizer sometimes called a MMSQE ( minimum mean-square quantization error ) solution, and the resulting pdf-optimized ( non-uniform ) quantizer is referred to as a Lloyd – Max quantizer, named after two people who independently developed iterative methods to solve the two sets of simultaneous equations resulting from and, as follows:
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Finding and optimal
Finding the optimal solution to complex high dimensional, multimodal problems often requires very expensive fitness function evaluations.
Finding the appropriate size of political states or other decision-making units, determining their optimal relationship to social capital and to infrastructural capital, is a major focus of political science.
Finding the shortest path in a graph using optimal substructure ; a straight line indicates a single edge ; a wavy line indicates a shortest path between the two vertices it connects ( other nodes on these paths are not shown ); the bold line is the overall shortest path from start to goal.
Finding the shortest path using optimal substructure.
Finding and solution
Finding a simple solution to a PSPACE-complete problem would mean we have a simple solution to all other problems in PSPACE because all PSPACE problems could be reduced to a PSPACE-complete problem.
Finding an adequate solution to determining longitude was of paramount importance.
Finding an efficient way to parallelize the solution to some P-complete problem would show that NC = P. It can also be thought of as the " problems requiring superlogarithmic space "; a log-space solution to a P-complete problem ( using the definition based on log-space reductions ) would imply L = P.
Finding the solution for the mystery does not mean, however, just handing the perpetrator to the police ; rather, solving the mystery arouses a complicated new problem involving legal, military, ethical and moral issues — which Lord Peter manages to neatly tie up.
* Finding a solution for those people who cannot marry according to Jewish law by creating something similar to a civil marriage.
Finding the global minimum ( or maximum ) of a function is far more difficult: symbolic ( analytical ) methods are frequently not applicable, and the use of numerical solution strategies often leads to very hard challenges.
In his statement to the Irish Parliament on 30 March 2010, the Minister for Finance stated: " Finding a long-term solution for Anglo Irish Bank is by far the biggest challenge in resolving the banking crisis.
# Finding a solution for unknown parameters β that will, for example, minimize the distance between the measured and predicted values of the dependent variable Y ( also known as method of least squares ).
Finding the dimensions n in which this index is 2 is the Kervaire invariant problem, whose solution for all larger n except 126 was announced by Mike Hill, Michael Hopkins and Doug Ravenel: the above list of dimensions can be extended by at most one, at most including 126.
Finding mutually acceptable borders has posed a major difficulty for the two-state solution
Finding a solution to the linear complementarity problem is associated with minimizing the quadratic function
Finding and above
Finding his guns frozen, he climbs well above the Corsairs service ceiling of 41, 600 feet ( 12, 680 m ) and cuts off the Ki-45s tail with his propeller in several passes, causing it to crash.
Finding and problem
Finding sources for these high quality foods is a problem.
* Finding the largest complete graph is called the clique problem ( NP-complete ).
* Finding the largest edgeless induced subgraph, or independent set, called the independent set problem ( NP-complete ).
Finding roots of polynomials has been an important problem since the time of the ancient Greeks.
Finding φ for some given f is an important practical problem, since this is the usual way to find the electric potential for a given charge distribution described by the density function.
Finding the roots of a given polynomial has been a prominent mathematical problem.
Finding someone in the vicinity to play against was still a problem when FFK was founded.
Finding rational points on a general elliptic curve is a difficult problem.
Finding the temperature at all points of an iron bar with one end kept at absolute zero and the other end at the freezing point of water would be a boundary value problem.
Finding that his customers were being harassed with junk emails, he sought ways to stop the problem and in doing so became an anti-spam campaigner.
Finding actors for the series was a problem because television was still regarded as inferior to the theatre.
Finding sorting networks with size for small c remains a fundamental open problem.
Finding the minimum number of cuts needed is an interesting mathematical problem.
Finding ψ ( G ) is an optimization problem.
Finding suitable material was always a problem.
Finding Bassie & Adriaan is no problem for B100 and his infallible nose, but staying alert proves to be another matter ; consequently the Baron crushes the phone every time he receives bad news.
Finding the barycentric coordinates has thus been reduced to finding the inverse matrix of, an easy problem in the case of 2 × 2 matrices.
Finding matching upper and lower bounds for the complexity of a k-level remains a major open problem in discrete geometry ; the best upper bound is O ( nk < sup > 1 / 3 </ sup >), while the best lower bound is Ω ( n exp ( c ( logk )< sup > 1 / 2 </ sup >)).
Finding historical sources for The Mercenary War suffers from the same problem as any history of Carthage: Few primary sources of Carthaginian history exist, except as fragments in translation quoted by Roman and Greek historians.
Finding and results
Finding one article on the subject and clicking on the " Related Articles " link to get a collection of similarly classified articles can expand a search that yields few results.
To make room for their long commercial breaks during modern airings, ABC made cuts to two scenes ( in 2005, it was extended for the network television premiere of Finding Nemo ; but now, it was edited again in order to make room for He's a Bully, Charlie Brown and the Dancing with the Stars results show ):
The certified release of an Environmental Assessment results in either a Finding of No Significant Impact ( FONSI ) or an Environmental Impact Statement ( EIS ).
Finding and sometimes
* The Melo-Pantomime: Finding their inspiration in the popular boulevard melodramas having no connection with the Commedia dell ' Arte, these scenarios present Pierrot, not as a hero, but as a subaltern — often a soldier, sometimes a retainer working in the employ of the hero of the piece.
This is sometimes more colorfully described as " Finding oneself impaled upon the horns of a dilemma ", referring to the sharp points of a bull's horns, equally uncomfortable ( and dangerous ).
Finding and called
Finding delight in humiliating old nobility, she arranged the marriage of old Prince Galitzine, who had incurred her displeasure by marrying an Italian Catholic, with one of her maids ( after the death of his first wife ), an elderly Kalmyk called Avdotaya Ivanovna.
Finding several letters that condemned the rebels, Bradford and his band called for a military assembly to meet at Braddock's Field, about east of Pittsburgh.
On April 17, 2007, a new song called " Really Love " was leaked on Triple J Radio in Australia by Questlove D ' Angelo also had a guest appearance on Common's 2007 album, Finding Forever on the track " So Far to Go ," a song that first appeared on J Dilla's 2006 release The Shining.
The method was called Radio Direction Finding ( RDF ), later called " radar " ( RAdio Direction And Ranging ) in the U. S. Most stations were also able to measure the angle of elevation of the formation which, together with the range, gave the height ; local geography prevented some stations from measuring elevation.
Finding a canonical form is called canonization.
Finding himself lonely and hoping to correct the situation, he jumps backwards in time, where he meets a female version of himself called Diane.
Finding themselves suddenly short of one member, the Levellers ' manager called Simon Friend, a young singer-songwriter and at that time a roadie for New Model Army, who had played some acoustic support slots for the band in the past.
She wrote a chapter in the book Finding Serenity, called " Kaylee Speaks: Jewel Staite On Firefly ".
" The 2005 Emmy in this category was won by Jeremy for a SportsCenter piece called “ Finding Bobby Fischer .”
Finding a hidden video screen, DJ is told by his father ( who actually IS a super spy ) to go to Las Vegas to find a woman named Dusty Tails to get a diamond called the Blue Monkey.
Finding a dental moldmaking substance called alginate to be sufficient, she found her first client in Jimi Hendrix, the first of many to submit to the idea.
Finding the terms unacceptable, Pittsburgh attorney Leland Hazard called Westinghouse CEO Gwilym Price to ask him if he should give up on his fight for public television.
Finding he might not be permitted to proceed in that way, he took the liberty to tell them, that ' he could not see for what reason it was not as lawful for that House of Commons in which he had sat as a member, to make laws, as for the present Convention which had been called by the authority of the Keepers of the Liberties of England.
Finding the Evil Spies in danger, all three options led to the conclusion that the Evil Spies would never trap Cliff again ( if Cliff called the police, the spies would be arrested, if Cliff helped them out, they would stop trapping Cliff as a gesture of thanks, etc .).
* Finding Nemo: One of the movies at the Googleplex is called Eating Nemo.
Finding distances to astronomical objects is very difficult, and even with the aid of objects with easily determined distances, called standard candles, and similar things, there are great uncertainties.
The Finding in the Temple, also called " Christ among the Doctors " or the Disputation ( the usual names in art ), was an episode in the early life of Jesus depicted in the Gospel of Luke.
The Pre-Raphaelite painter William Holman Hunt painted a version called The Finding of the Saviour in the Temple, now at Birmingham, as one of a number of subjects from Jesus's life, for which he travelled to the Holy Land to study local details.
Controversial religious scholar J. Gordon Melton wrote a book countering this argument, called Finding Enlightenment: Ramtha's School of Ancient Wisdom.
Another monk, Gudo, is mentioned in a koan called Finding a Diamond on a Muddy Road buying a gallon of sake.
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