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 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 the analytical index is usually hard to evaluate directly, it is at least obviously an integer.

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 pre-mixed concentrated nutrient solutions are generally purchased from commercial nutrient manufacturers by hydroponic hobbyists and small commercial growers, several tools exists to help anyone prepare their own solutions without extensive knowledge about chemistry.

Although simple programs can be written in a few hours, programs that use complex mathematical formulas whose solutions can only be approximated or that draw data from many existing systems may require more than a year of work.

Although some problems in statistical physics can be solved analytically using approximations and expansions, most current research utilizes the large processing power of modern computers to simulate or approximate solutions.

Although in an open process, anyone may identify and correct such limitations, and the resulting cleaner specification may be used by all vendors, this is more difficult post-facto, as customers already have valuable information and processes encoded in the faulty but dominant product, and other vendors are forced to replicate those faults and quirks even if they could design better solutions, for the sake of preserving interoperability.

Although Germany began to improve economically in the mid-1920s, the Great Depression created more economic hardship and a rise in political forces that advocated radical solutions to Germany's woes.

Although he points out many problems and possible solutions in his paper, he does admit that there is still much to be done to build a strong social capital.

Although the issue of existence and uniqueness of solutions of ordinary differential equations has a very satisfactory answer with the Picard – Lindelöf theorem, that is far from the case for partial differential equations.

Although this result might appear to settle the existence and uniqueness of solutions, there are examples of linear partial differential equations whose coefficients have derivatives of all orders ( which are nevertheless not analytic ) but which have no solutions at all: see Lewy ( 1957 ).

Although the optimal strategy of a game may not ( yet ) be known, a game-playing computer might still benefit from solutions of the game from certain endgame positions ( in the form of endgame tablebases ), which will allow it to play perfectly after some point in the game.

Although the solutions cannot always be expressed exactly with radicals, they can be computed to any desired degree of accuracy using numerical methods such as the Newton – Raphson method or Laguerre method, and in this way they are no different from solutions to polynomial equations of the second, third, or fourth degrees.

Although it is possible to find some particular solutions of the Navier-Stokes equations governing fluid motion, all such solutions are unstable at large Reynolds numbers.

Although these policies presented high-profile, short-term solutions, the ecological effects of these policies are hotly debated among forestry experts.

( Although HDML is still in use in Japan by KDDI brands such as au, especially for mobile banking solutions.

Although hibernating animals have adapted mechanisms to avoid metabolic imbalances associated with hypothermia, hypothermic organs and tissues being maintained for transplantation require special preservation solutions to counter acidosis, depressed sodium pump activity and increased intracellular calcium.

Although originally seeming out of his depth as a Member of Parliament, Ali's bizarre behaviour and solutions seem to actually work.

Although zinc chloride solutions are acidic by the Brønsted definition, the zinc cation also specifically attacks hydroxyl groups as a Lewis acid.

Although wildlife corridors have been proposed as solutions to habitat and wildlife population fragmentation, there is little evidence that they are broadly useful as a conservation strategy for all biodiversity in non-developed or less-developed areas, compared to protecting connectivity as the relevant ecological attribute.

Although it still manufactures computers, it sees the physical goods as a small part of the " business solutions " industry.

Although this leads to great flexibility ( i. e .- any type of desktop can be displayed ), it is often less efficient than solutions that have a better understanding of the underlying graphic layout like X11 or Windows Remote Desktop Protocol.

Although finding solutions to some problems, airline deregulation has created strongly polarizing results.

Although the Atanasoff – Berry Computer was an important step up from earlier calculating machines, it was not able to run entirely automatically through an entire problem.

Although this problem seems easier, it has been shown that if there is a practical ( randomized polynomial-time ) algorithm to solve this problem, then all problems in NP can be solved just as easily.

Although player characters are substantially weaker than many of the dangers they face, the game is one of the first to encourage problem solving and outwitting obstacles, rather than out-fighting them.

Although counting the number of elements in a set is a rather broad mathematical problem, many of the problems that arise in applications have a relatively simple combinatorial description.

Although it is widely accepted that Descartes explained the problem cogently, few later philosophers have been happy with his solution, and his ideas about the pineal gland have especially been ridiculed.

Although the statement of the theory in terms of graphs may imply perturbation theory, use of graphical methods in the many-body problem shows that this formalism is flexible enough to deal with phenomena of nonperturbative characters ...

Although the problem is not known to be in NC, parallel algorithms with time superior to the Euclidean algorithm exist ; the best known deterministic algorithm is by Chor and Goldreich, which ( in the CRCW-PRAM model ) can solve the problem in O ( n / log n ) time with n < sup > 1 + ε </ sup > processors.

* Although the mean speed of the electron in hydrogen is only 1 / 137th of the speed of light, many modern experiments are sufficiently precise that a complete theoretical explanation requires a fully relativistic treatment of the problem.

Although the,, and points are nominally unstable, it turns out that it is possible to find stable periodic orbits around these points, at least in the restricted three-body problem.

Although this appears a challenging problem given current resources, many tools will be available to help future researchers: Moore's Law predicts further increases in computer power, semiconductor fabrication techniques continue to approach the nanoscale, and researchers grow ever more skilled at using proteins, ribosomes and DNA to perform novel chemistry.

; Although the problem can be solved by using strictly integer subscripts and values, this program is

Although the Bohr model of the hydrogen atom could be explained in this way, the spectrum of the helium atom ( classically an unsolvable 3-body problem ) could not be predicted.

Although examples of " over-provision " like this can be found all over Berlin, it is Potsdamer Platz that, rightly or wrongly, has been used to highlight the problem.

Although many prior adverse practises are now banned, the issues surrounding past exploitation of animal resources in the Svalbard area remain a problem.

Although many consider it a solved problem, useful new sorting algorithms are still being invented ( for example, library sort was first published in 2006 ).

Although expressed as a problem of software design, the second-system effect is observable throughout all human design effort.

Although precipitation is not a limiting factor, the ground freezes during the winter months and plant roots are unable to absorb water, so desiccation can be a severe problem in late winter for evergreens.

Although the use of offset crankpins, counterweights, and flying arms has reduced the problem to a minor second-order vibration in modern designs, all V6s can benefit from the addition of auxiliary balance shafts to make them completely smooth.

Although the presence of street children was a problem in Bucharest in the 1990s, their numbers have declined significantly in recent years, currently lying at or below the average of major European capital cities.

Although CSMA / CA has been used in a variety of wired communication systems, it is particularly beneficial in a wireless LAN due to a common problem of multiple stations being able to see the Access Point, but not each other.

Although Dalton's theory lost credence in his own lifetime, the thorough and methodical nature of his research into his own visual problem was so broadly recognized that Daltonism became a common term for colour blindness.

Although the Standard Model is believed to be theoretically self-consistent, it has several apparently unnatural properties giving rise to puzzles like the strong CP problem and the hierarchy problem.