While cyanobacteria have been traditionally considered algae, recent works usually exclude them due to large differences such as the lack of membrane-bound organelles, the presence of a single circular chromosome, the presence of peptidoglycan in the cell walls, and ribosomes different in size and content from those of the Eukaryotes .< ref >

While that national dichotomy has stymied any effort at changing the tradition of the national anthem, " America the Beautiful " continues to be held in high esteem by a large number of Americans.

While comparatively inefficient for low speed use, they are very lightweight and powerful, capable of generating large accelerations and of attaining extremely high speeds with reasonable efficiency.

While bishop he was largely responsible for the construction of a large organ in the cathedral, audible from over a mile ( 1600 m ) away and said to require more than 24 men to operate.

While at large, al-Fihri managed to gather an army allegedly numbering to 20, 000.

While this was OK for Europe, it meant that GSM could not cover large, sparsely populated rural areas of Australia cost effectively.

While hunting they used small watercrafts called Baidarkas and during travel they used their large Baidaras.

While unsustainable imbalances may persist for long periods ( cf, Singapore and New Zealand ’ s surpluses and deficits, respectively ), the distortions likely to be caused by large flows of wealth out of one economy and into another tend to become intolerable.

While these included elite Bersaglieri, Alpini and Cacciatori units, a large proportion of the troops were inexperienced conscripts recently drafted from metropolitan regiments in Italy into newly formed " di formazione " battalions for service in Africa.

While a large trade in both types of diamonds exists, the two markets act in dramatically different ways.

While generally praised for its fast gameplay and unique mechanics, it ultimately failed to gain a very large market presence.

While rocks melted by the impact resemble volcanic rocks, they incorporate unmelted fragments of bedrock, form unusually large and unbroken fields, and have a much more mixed chemical composition than volcanic materials spewed up from within the Earth.

While Constantius was away from the eastern frontier in early 337, Shapur assembled a large army, including war elephants, and launched an attack on Roman territory, laying waste to Mesopotamia and putting Nisibis under siege.

While there is not a large body of academic work examining the relationship, Hironaka's statistical study found a correlation that suggests that every major international anti-secessionist declaration increased the number of ongoing civil wars by + 10 %, or a total + 114 % from 1945 to 1997.

While ethnicity and culture play a large part in Jewish identity, they are not the only way Jews define themselves as Jews.

While Compaq shareholders unanimously approved the deal, there was a public proxy battle within HP as the deal was strongly opposed by numerous large HP shareholders, including the sons of the company founders, Walter Hewlett and David W. Packard, as well as the California Public Employees ’ Retirement System ( Calpers ) and the Ontario Teachers Pension Plan.

While sugar cane dramatically increased Spain's earnings on the island, large numbers of the newly imported slaves fled into the nearly impassable mountain ranges in the island's interior, joining the growing communities of cimarrónes — literally, ' wild animals '.

While most small corporations do not have a 2 / 3 vote requirement, in the exact opposite, most large corporations especially those incorporated in Delaware, do have a 2 / 3 vote requirement.

While encyclopedias in larger languages, having large markets that could support a large editorial staff, churned out new 20-volume works in a few years and new editions with brief intervals, such publication plans often spanned a decade or more in smaller languages.

While this reaction will work at any conductive electrode at a sufficiently large potential, platinum catalyzes both hydrogen and oxygen formation, allowing for relatively mild voltages (~ 2 V depending on the pH ).

While such omissions are inappropriate for managing large projects, they are a common and reasonable occurrence in many very small or simple projects.

While Bannister was well known in the artistic community of his adopted home of Providence, Rhode Island and admired within the wider East Coast art world ( he won a bronze medal for his large oil " Under the Oaks " at the 1876 Philadelphia Centennial ), he was largely forgotten for almost a century for a complexity of reasons, principally connected with racial prejudice.

While in power, the Nazis created social welfare programs to deal with the large numbers of unemployed.

While Menelik's victory was in a large part due to sheer force of numbers, Menelik's careful preparations had made them well-armed numbers.

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 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.

While the individual strands of a linear double helix represent two distinct and separable molecules, this need not be true for circular DNA.

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.