While individual sportsmen are aware of this situation, too many of our political, social, educational and even religious leaders too often forget it.

While the method of interviewing a small number of companies was appealing because of the opportunity it might have furnished to probe fully the reasons and circumstances of a company's practices and opinions, it also involved the risk of paying undue attention to the unique and peculiar problems of just a few individual companies.

While this influence is a complex matter, depending upon personality factors in the individual as well as upon his social-class experience, there probably are some general statements about social-class background and educational policy that can be made with a fair degree of truth.

While the use of paracetamol, aspirin, ibuprofen, naproxen and other NSAIDS concurrently with weak to mid-range opiates ( up to about the hydrocodone level ) has been said to show beneficial synergistic effects by combatting pain at multiple sites of action, several combination analgesic products have been shown to have few efficacy benefits when compared to similar doses of their individual components.

While suitable media and raw pigments are available for the individual production of acrylic paint, due to the fast drying time and other technical issues, hand mixing may not be practical.

Silvermintz notes that, " Historians of economic thought credit Plato, primarily on account of arguments advanced in his Republic, as an early proponent of the division of labor .” Notwithstanding this, Silvermintz argues that, " While Plato recognizes both the economic and political benefits of the division of labor, he ultimately critiques this form of economic arrangement insofar as it hinders the individual from ordering his own soul by cultivating acquisitive motives over prudence and reason.

While individual equations present a kind of puzzle and have been considered throughout history, the formulation of general theories of Diophantine equations ( beyond the theory of quadratic forms ) was an achievement of the twentieth century.

While Just war theory is generally seen to set the background terms of moral debate, individual countries have more specific methods of upholding these ethical principles.

While conventional tax credit systems are structured to treat all private school participants equally, neovoucher systems effectively delegate to individual private taxpayers ( those owing money to the state ) the power to decide which private schools will benefit.

While some experts point to statistics in support of the idea that a lack of adoption of research findings results in suboptimal treatment for many patients, others emphasize the importance of the skill of the practitioner and the customization of the treatment to fit individual needs.

While bishops and their autocephalous synods have the ability to administer guidance in individual cases, their actions do not usually set precedents that affect the entire Church.

While the pending Second Chance Act which may change this, at present the only relief that an individual prosecuted in federal court may receive is a Presidential Pardon, which does not expunge the conviction, but rather grants relief from the civil disabilities that stem from it.

While falling foul of Godwin's law tends to cause the individual making the comparison to lose their argument or credibility, Godwin's law itself can be abused as a distraction, diversion or even as censorship, fallaciously miscasting an opponent's argument as hyperbole when the comparisons made by the argument are actually appropriate.

While clear categories do exist, it is sometimes difficult to choose which category some individual heads of state belong to.

While it was once thought that Locke wrote the Treatises to defend the Glorious Revolution of 1688, recent scholarship has shown that the work was composed well before this date, and it is now viewed as a more general argument against absolute monarchy ( particularly as espoused by Robert Filmer and Thomas Hobbes ) and for individual consent as the basis of political legitimacy.

While salmon are usually hunted by an individual or a small group of individuals, herring are often caught using carousel feeding ; the killer whales force the herring into a tight ball by releasing bursts of bubbles or flashing their white undersides.

While individual members continued to produce work of importance, however, the collaborative activity that marked the heyday of the society was noticeably absent.

While both groups argued against capitalism, the anarchist communists departed from Proudhon and Bakunin, who maintained that individuals have a right to the product of their individual labor and to be remunerated for their particular contribution to production.

While all vertebrates have a brain, most invertebrates have either a centralized brain or collections of individual ganglia.

While recognising bureaucracy as the most efficient form of organisation and even indispensable for the modern state, Weber also saw it as a threat to individual freedoms and the ongoing bureaucratisation as leading to a " polar night of icy darkness ", in which increasing rationalisation of human life traps individuals in the aforementioned " iron cage " of bureaucratic, rule-based, rational control.

While the wooden structure of the Mary Rose and the individual artifacts have been undergoing conservation since their recovery, the Holland 1 provides an example of a relatively recent ( metal ) wreck for which extensive conservation has been necessary to preserve the hull.

While lessons are often individual ( one teacher and one student ), group lessons or coaching sessions are also done.

While exploration and mining can sometimes be conducted by individual entrepreneurs or small business, most modern-day mines are large enterprises requiring large amounts of capital to establish.

* Diversification: While this may hedge a company against a downturn in an individual industry it fails to deliver value, since it is possible for individual shareholders to achieve the same hedge by diversifying their portfolios at a much lower cost than those associated with a merger.

While tying the knots of sacred strands of Yajñopavītam, an oath is taken in the name of these excellent sages.

While ( 1-dimensional ) links are defined as embeddings of circles, it is often interesting and especially technically useful to consider embedded intervals ( strands ), as in braid theory.

While what is now Saudi Arabia was the birthplace of Islam, it was also home to various sects and strands of the religion until the rise of Salafism, also known as Wahabbism, a fiercely puritanical strain of Islam that gained patronage of the primary rulers of the Arabian peninsula.

While the family says grace, he ties all of their spaghetti strands together, so that he can devour all the spaghetti ( enough to feed a family of eight ) in a single slurp!

While earlier bridges of this type use chain eyebars, the long span needed here uses wire cable as do other modern suspension bridges, but uniquely, this is a single loop of cable rather than the usual pair of cables and, rather than being spun in place above the catwalks, substantial bundles of strands are dragged into place with temporary support above the catwalks, to be finally suspended by tensioning of the strand.

While cellulose is a compilation of glucose monomers, they form unbranched, long strands instead of coils like starch or glycogen.

While the character has undergone a number of transitions over time, he has always been drawn with the trademark three strands of hair, which implies malnutrition as a result of poverty.

While most alphabets have letters composed of lines ( linear writing ), there are also exceptions such as the alphabets used in Braille, fingerspelling, and Morse code.

While the structure of diatomic, triatomic or tetra atomic molecules may be trivial, ( linear, angular pyramidal etc.

While a large linear table seems a bit arcane, it can be of great value, as one can quickly search without wandering across the disk ( thus reducing seek time ).

While they arise quite naturally when modeling many phenomena, they are particularly useful since many non-linear equations may be reduced to linear equations by assuming that quantities of interest vary to only a small extent from some " background " state.

While studying compositions of linear transformations, Arthur Cayley was led to define matrix multiplication and inverses.

While often seen as rejecting Darwin's theory of branching evolution for a more linear Lamarckian " biogenic law " of progressive evolution, this is not accurate: Haeckel used the Lamarckian picture to describe the ontogenic and phylogenic history of the individual species, but agreed with Darwin about the branching nature of all species from one, or a few, original ancestors.

Like the " dimension of image " characterization this can be generalized to a definition of the rank of a linear map: the rank of a linear map f from V → W is the minimal dimension k of an intermediate space X such that f can be written as the composition of a map V → X and a map X → W. While this definition does not suggest an efficient manner to compute the rank ( for which it is better to use one of the alternative definitions ), it does allow to easily understand many of the properties of the rank, for instance that the rank of the transpose of A is the same as that of A.

While linear, this equation has a more complex form than the equations given above, as it must account for both longitudinal and transverse motion:

While the compression used in audio recording and the like depends on a variable-gain amplifier, and so is a locally linear process ( linear for short regions, but not globally ), companding is non-linear and takes place in the same way at all points in time.

While linear stereo all but disappeared from home VHS decks, it was not until the 1990s that Hi-Fi became a more common feature on VHS decks.

While most timelines use a linear timescale, for very large or small timespans, logarithmic timelines use a logarithmic scale to depict time.

While there are general trends in the medieval evolution of the sword, it was by no means a linear process.

While this looks like a polynomial with matrices as coefficients, we shall not consider such a notion ; it is just a way to write a matrix with polynomial entries as linear combination of constant matrices, and the coefficient has been written to the left of the matrix to stress this point of view.

While the Carraccis laid emphasis on the typically Florentine linear draftsmanship, as exemplified by Raphael and Andrea del Sarto, their interest in the glimmering colours and mistier edges of objects derived from the Venetian painters, notably the works of Venetian Oil Painter Titian, which Annibale and Agostino studied during their travels around Italy in 1580-81 at the behest of the elder Caracci Lodovico.

While color derives from the electromagnetic scale that corresponds to the magnitudes of energy expressed by musical pitch, in fact, the neurological occidentals by which we experience color make it seem multidimensional, while musical pitch ( not timbre, volume, or duration ) is experienced as a linear relationship ... Stanczak's ' gift is for layering.

While TOC has been compared favorably to linear programming techniques, D. Trietsch from University of Auckland argues that DBR methodology is inferior to competing methodologies.

While computer based Video editing software has been adopted throughout most of the commercial, film, industrial and consumer video industries, linear video tape editing is still commonplace in television station newsrooms for the production of television news, and medium-sized production facilities which haven ’ t made the capital investment in newer technologies.

The first study found a roughly linear relationship between length of membership and abstinence with reduced anxiety and increase self-esteem While the NA sample had higher anxiety than the non-addicted comparison groups, these levels were equivalent for those with three or more years membership, which is consistent with the hypothesis that NA membership reduces anxiety as well as substance use.

While Alice knows the " linear structure ", both Alice and Bob know the " affine structure "— i. e. the values of affine combinations, defined as linear combinations in which the sum of the coefficients is 1.

While 32-bit programs on machines with linear address spaces will continue to be limited to the 4 GB they're capable of addressing, because they each exist in their own virtual address space, a group of programs can together grow beyond this limit.

While the graph traversal in Fleury's algorithm is linear in the number of edges, i. e. O (| E |), we also need to factor in the complexity of detecting bridges.