Although modern analytical chemistry is dominated by sophisticated instrumentation, the roots of analytical chemistry and some of the principles used in modern instruments are from traditional techniques many of which are still used today.

Although the process of design may be considered ' creative ', many analytical processes also take place.

Although analytical solutions to this problem are scarce, there are upper and lower bounds to these functions including the famous Shannon lower bound ( SLB ), which in the case of squared error and memoryless sources, states that for arbitrary sources with finite differential entropy,

Although one could argue that even the earliest analytical experiments in chemistry involved a form of chemometrics, the field is generally recognized to have emerged in the 1970s as computers became increasingly exploited for scientific investigation.

Although the term " Logos " is widely used in this Christian sense, in academic circles it often refers to the various ancient Greek uses, or to post-Christian uses within contemporary philosophy, Sufism, and the analytical psychology of Carl Jung.

Although significantly less common, inductively-coupled plasmas, especially when used with mass spectrometers, are recognized for their outstanding analytical performance and their versatility.

Although the metabolome can be defined readily enough, it is not currently possible to analyse the entire range of metabolites by a single analytical method ( see metabolomics ).

Although both Feynman's heuristic and pictorial style of dealing with the infinities, as well as the formal methods of Tomonaga and Schwinger, worked extremely well, and gave spectacularly accurate answers, the true analytical nature of the question of " renormalizability ", that is, whether ANY theory formulated as a " quantum field theory " would give finite answers, was not worked-out till much later, when the urgency of trying to formulate finite theories for the strong and electro-weak ( and gravitational interactions ) demanded its solution.

A 2003 medical review notes that this debate may have been exacerbated since " Although analytical methods were in their infancy during the controversy, they were still sensitive enough to pick up low levels of environmental trichothecene contamination.

Although his comrades sometimes wish he would take combat a bit more seriously, Grotusque is nowhere near as offhand about his duties as he might appear, possessing a sharp analytical mind that makes him an expert campaign planner.

Although originally designed to assess sense of community in neighborhoods, the index has been adapted for use in schools, the workplace, and a variety of types of communities.

Although the Graphics Control Extension block declares color index 16 ( hexadecimal 10 ) to be transparent, that index is not used in the image.

Although conversion from wavelengths to metres introduces an additional error in the overall length due to measurement error in determining the refractive index and the frequency, the measurement of frequency is one of the most accurate measurements available.

Although an A-Z index could be used to index multiple sites, rather than the multiple pages of a single site, this is unusual.

Although Dow compiled the index to gauge the performance of the industrial sector within the American economy, the index's performance continues to be influenced by not only corporate and economic reports, but also by domestic and foreign political events such as war and terrorism, as well as by natural disasters that could potentially lead to economic harm.

Although it is possible that this work was inspired by Johnson asking for an " index rerum " for Richardson's novels, the Collection contains more of a focus on " moral and instructive " lessons than the index that Johnson sought.

Although he found some relief in 1945 when referred to the Melbourne masseur Ern Saunders, Bradman permanently lost the feeling in the thumb and index finger of his ( dominant ) right hand.

Although MP3. com purchased the CDs for their index and users had to supply their own copy as well, MP3. com violated copyright laws by failing to acquire licenses for the music that was internally duplicated by digitally storing the material on their servers.

Although the CAC 40 is almost exclusively composed of French-domiciled companies, about 45 % of its listed shares are owned by foreign investors, more than any other main European index.

Although advice not to sell the album to minors was printed on the cover, Ab 18 was also put on the index.

Although home ownership in Britain is near the European average, variable rate mortgages are more common, making the retail price index in Britain more influenced by interest rate changes.

Although a circular reference will often be unhelpful and reveal no information, such as two entries in a book index referring to each other, it is not necessarily so that a circular reference is of no use.

Although the optical properties of a transparent material are fully specified by the parameters ε and µ, refractive index n is often used in practice, which can be determined from.

Although the BLS index was interesting, it covered only cash transactions and was not as timely as the one compiled by the Commodity Research Bureau.

Although the Christoffel symbols are written in the same notation as tensors with index notation, they are not tensors,

Although it is generally worn on the index finger, a second mezrab is sometimes worn on the middle or little finger.

Although cyclical bull markets occur in the 1930s and 1940s, the index would take 22 years to surpass its previous highs.

Although the RMR of any person may deviate from the reference value, MET can be thought of as an index of the intensity of activities: for example, an activity with a MET value of 2, such as walking at a slow pace ( e. g., 3 km / h ) would require twice the energy that an average person consumes at rest ( e. g., sitting quietly ).

Although purported to be an index of New York's best families, McAllister's list was suspiciously top-heavy with nouveau riche industrialists and McAllister's southern allies, seeking a new start in the nation's financial capital after the American Civil War.

Although these systems were originally implemented by manual index card methods, since the late 1970s they have exploited the efficiency and speed of digital computers.

Although this index has increased government attention to gender inequality and development, its three measures have often been criticized as neglecting important aspects.

Although he is perfectly willing to cooperate with Scotland Yard, Holmes has nothing but contempt for the intelligence and mentality of the police.

Although we continue to pay our conversational devotions to `` free private enterprise '', `` individual initiative '', `` the democratic way '', `` government of the people '', `` competition of the marketplace '', etc., we live rather comfortably in a society in which economic competition is diminishing in large areas, bureaucracy is corroding representative government, technology is weakening the citizen's confidence in his own power to make decisions, and the threat of war is driving him economically and physically into the ground ''.

Although it is constantly made to look foolish ( too simple to come in out of the rain, people say, who have found in the innocent an impediment ), it does not mind looking foolish because it is not concerned with how it looks.

Although open to the general public it is not overcrowded ; ;

Although we have no measures of its strength or intensity, the heritage of the doctrine of inalienable rights is retained.

Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.

Although Patchen has given previous evidence of an interest in jazz, the musical group that he works with, the Chamber Jazz Sextet, is often ignored by jazz critics.

Although the false glamour surrounding bourbon or other whisky commercials is possibly no more fatuous than the pseudo-sophistication with which TV soft-drinks are downed or toothpaste applied, there is a sad difference between enticing a viewer into sipping Oopsie-Cola and gulling him into downing bourbon.

Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.

`` Although it is not the best of which he is capable '', said Shelley as he closed the book, `` it is still poetry of a high order ''.

Although Sam Rayburn affects a gruff exterior in many instances, nevertheless he is fundamentally a man of warm heart and gentle disposition.

Although a similar situs for tangible property is mentioned in the statute, this is cancelled out by the provision that definite kinds of property `` and all other tangible property '' situated or being in any town is taxable where the property is situated.

Although much of the Industrial Division's promotional effort is devoted to securing new locations and expansions by major industries, small business is also afforded considerable attention.

Although Mr. Brown was not himself its inventor ( it was a French idea ), it is typical that his intuition first conceived the importance of mass producing this basic tool for general use.