Although a somewhat technical subject, it has important political implications as the above discussion of the voting system indicated.

Although much of Inge's principles, above, still apply to the New Agrarianism, the affiliation with a particular religion and patriarchal tendency have subsided to some degree.

Although Judges probably had a monarchist redaction ( see above ), the book contains passages and themes that represent anti-monarchist views.

Although the above rules are in some way universal, Confucius would be called an ethical particularist because of how he interprets these rules.

Although many hard-line and extremist Muslim societies have adopted capital punishment for other than the crime of murder, this is in violation of the Qur ' anic law mentioned above, and so is rejected by most orthodox commentators and scholars.

Although sometimes referred to as a coalition government, according to the definition above, it was not.

Although most cranberries are wet-picked as described above, 5 – 10 % of the US crop is still dry-picked.

Although Sonam Gyatso became the first lama to have the title " Dalai Lama " as described above, since he was the third member of his lineage, he became known as the " Third Dalai Lama ".

Although his administrative abilities had been noticed, on the eve of the U. S. entry into World War II he had never held an active command above a battalion and was far from being considered by many as a potential commander of major operations.

Although the Fortune Deck works as a randomizer, the results obtained by it are entirely arbitrary and subjective, and the GM's absolute power over the game is further emphasized by the three resolution systems: Karma ( the higher character ability wins, modified by situation ), Drama ( the GM decides what happens, by what they think most appropriate ), and Fortune ( more or less the same as the above, with interpretation flavored by a card draw ).

Although the details of each particular elliptic curve scheme are described in the article referenced above some common implementation considerations are discussed here.

Although the words faith and belief are sometimes erroneously conflated and used as synonyms, faith properly refers to a particular type ( or subset ) of belief, as defined above.

Although he batted cross-handed ( i. e., as a right-handed hitter, with his left hand above his right ), Aaron had already established himself as a power hitter.

Although it is sometimes claimed that Irenaeus believed Christ did not die until he was older than is conventionally portrayed, the bishop of Lyons simply pointed out that because Jesus turned the permissible age for becoming a rabbi ( 30 years old and above ), he recapitulated and sanctified the period between 30 and 50 years old, as per the Jewish custom of periodization of human life, and so touches the beginning of old age when one becomes 50 years old.

Although artistic display has clearly been a function of jewellery from the very beginning, the other roles described above tended to take primacy.

Although the explanations may share features in common with the explanations above, additional assumptions and simplifications may be introduced.

Although the Washington team endured long bouts of mediocrity ( immortalized in the 1955 Broadway musical Damn Yankees ), they had a period of prolonged success in the 1920s and 1930s, led by Hall-of-Famers Bucky Harris, Goose Goslin, Sam Rice, Heinie Manush, Joe Cronin, and above all Walter Johnson.

Although the beliefs described above were held in common among Mesopotamians, there were also regional variations.

Although the concept has existed for centuries, the term meritocracy was first coined by British politician and sociologist, Michael Young in his 1958 satirical essay, " The Rise of the Meritocracy ", which pictured the United Kingdom under the rule of a government favoring intelligence and aptitude ( merit ) above all.

Although, my son, I have used the word prophet, I would not attribute to myself a title of such lofty sublimity – Preface to César, 1555 ( see caption to illustration above )

Although official estimates rarely place the temperature above, newspaper sources claim that it reaches and regularly carry reports about people who have succumbed to the heat.

Although the above equations are the most used form in literature, some comments about the notation are necessary.

Although critics generally spare these nine historians, they see deMause as a strong proponent of the " black legend " view of childhood history ( i. e. that the history of childhood was above all a history of progress, with children being far more often badly mistreated in the past ).

Although quantum computers may be faster than classical computers, those described above can't solve any problems that classical computers can't solve, given enough time and memory ( however, those amounts might be practically infeasible ).

Although the basic idea is recursive, most traditional implementations rearrange the algorithm to avoid explicit recursion.

Although the three-peg version has a simple recursive solution as outlined above, the optimal solution for the Tower of Hanoi problem with four pegs ( called Reve's puzzle ), let alone more pegs, is still an open problem.

Although this sequence may be generated by a recursive algorithm that constructs the sequence of smaller permutations and then performs all possible insertions of the largest number into the recursively-generated sequence, the actual Steinhaus – Johnson – Trotter algorithm avoids recursion, instead computing the same sequence of permutations by an iterative method.

Although Abel had already proved the impossibility of a " quintic formula " by radicals in 1824 and Ruffini had published a solution in 1799 that turned out to be flawed, Galois ' methods led to deeper research in what is now called Galois theory.

Although charcoal's chemical formula varies, it can be best summed up by its empirical formula: C < sub > 7 </ sub > H < sub > 4 </ sub > O

Although originally expressed in Newton's third law, the conservation of linear momentum also holds in special relativity ( with a modified formula ) and, with appropriate definitions, a ( generalized ) linear momentum conservation law holds in electrodynamics, quantum mechanics, quantum field theory, and general relativity.

Although this law remains constant, the formula for fusion strongly suggests that it is in fact, not an accurate measure at all.

Although historically proven earlier, de Moivre's formula can easily be derived from Euler's formula

Although Honorius himself agreed with Sergius ' formula, he did not define it as dogma using his papal authority ( ex cathedra ).

Although they have the same chemical formula as goethite they each have different crystalline structures making them distinct minerals.

Although Constable produced paintings throughout his life for the " finished " picture market of patrons and R. A. exhibitions, constant refreshment in the form of on-the-spot studies was essential to his working method, and he never satisfied himself with following a formula.

Although Mountain Dew was first marketed under that name in Knoxville, the original soft drink ’ s formula changed drastically from Knoxville ’ s formula to the syrup mixture that constitutes today ’ s drink ; that mixture was formulated in Marion.

Although EVA is similar to residual income, under some definitions there may be minor technical differences between EVA and RI ( for example, adjustments that might be made to NOPAT before it is suitable for the formula below ).

Although its success accelerated Malayalam movie-making, films that were produced after Jeevitha Nouka closely mimicked its structure, hoping to find some sort of " success formula ", thus hampering creativity for a long time.

Although the direct application of the MDCT formula would require O ( N < sup > 2 </ sup >) operations, it is possible to compute the same thing with only O ( N log N ) complexity by recursively factorizing the computation, as in the fast Fourier transform ( FFT ).

Although the UPCI belief in the union of the divine and human into one person in Christ is similar to the Chalcedonian formula, Chalcedonians disagree sharply with them over their opposition to Trinitarian dogma.

Although computationally slower than the Black – Scholes formula, it is more accurate, particularly for longer-dated options on securities with dividend payments.

Although the Oneness belief in the union of the divine and human into one person in Christ is similar to the Chalcedonian formula, Chalcedonians disagree sharply with them over their opposition to Trinitarian dogma.

Although Matthew 28: 19 seems to mandate a Trinitarian formula for baptism, Oneness theology avows that the " name " in that verse is actually singular and refers to Jesus, whose name they believe to be that of the Father, Son, and Holy Spirit.

Although he reached inconsistent results, an improved formula studied by Hartle, J. Garcia, and E. Elizalde includes the technique of the zeta regularization algorithm

Although LDS members baptize with the same Trinitarian formula, they reject the Nicene Trinitarian conception and regard the three Persons of the Trinity as being distinct gods or " divine personages ", united not in substance, but in dominion and purpose.

Although Football Outsiders Almanac acknowledges that the formula had been less-successful in picking Super Bowl participants from 2005 – 2008, it reasserted itself in 2009 and 2010.

Although this formula is accurate for most distances on a sphere, it too suffers from rounding errors for the special ( and somewhat unusual ) case of antipodal points ( on opposite ends of the sphere ).

Although the term " formula " may be used for written marks ( for instance, on a piece of paper or chalkboard ), it is more precisely understood as the sequence being expressed, with the marks being a token instance of formula.