ratio of word probabilities predicted from brain for pants and bee

close this window

pants

bee

top 10 words in brain distribution (in article):
form body type common state time world refer Unite allow
top 10 words in brain distribution (in article):
species plant fruit food seed produce flower male human wild
top 10 words in brain distribution (not in article):
plant cell fruit grow produce seed leaf tree flower sugar
top 10 words in brain distribution (not in article):
animal grow tree leaf breed sugar hunt cat milk water
times more probable under pants 30 20 10 6 4 2.5 1.25 1 1.25 2.5 4 6 10 20 30 times more probable under bee
(words not in the model)
Trousers'" are an item of clothing worn on the lower part of the body from the waist to the ankles, covering both legs separately (rather than with cloth stretching across both as in skirts and dresses). Such items of clothing are often referred to as "'pants'" in countries such as Canada, South Africa and The United States. Additional synonyms include "'slacks'", "'kegs'" or "'kex'", "'breeches'" (sometimes) or "'breeks'". Historically, as for the West, trousers have been the standard lower-body clothing item for males since the 16th century; by the late 20th century, they had become prevalent for females as well. Trousers are worn at the hips or waist, and may be held up by their own fastenings, a belt, or suspenders (braces). Leggings are form-fitting trousers of a clingy material, often knitted cotton and lycra. Terminology. In North America, "pants" is the general category term, and "trousers" refers, often more formally, specifically to tailored garments with a waistband and (typically) belt-loops and a fly-front. For instance, informal elastic-waist knitted garments would never be called "trousers" in the U.S. Undergarments are called "underwear", "underpants", or "panties" (the last are women's garments specifically) to distinguish them from other pants that are worn on the outside. The term "drawers" normally refers to undergarments, but in some dialects, may be found as a synonym for "breeches", that is, trousers. In these dialects, the term "underdrawers" is used for undergarments. In Australia the terms "pants" and "trousers" are synonymous. In most parts of the United Kingdom, "trousers" is the general category term, and "pants" refers to underwear. In some parts of Scotland, trousers are known as "trews"; taken from the early Middle English "trouse", its plural developed into "trousers". Various people in the contemporary fashion industry use the word "pant" instead of "pants". This is grammatically incorrect. The word pants is a "plurale tantum", always in plural form much like the words scissors and tongs. The origin of pants is due to the use of two pieces of cloth in making it. Pant would actually mean just a single leg being covered with clothing. History. Nomadic Eurasian horsemen such as the Iranian Scythians, along with Achaemenid Persians, were among the first to wear trousers. In ancient China, trousers were only worn by soldiers. The first european appearance of trousers was in Hungary in the IX century. Men's clothes in Hungary in the 15th century consisted of a shirt and trousers as underwear, and a dolman worn over them, as well as a short fur-lined or sheepskin coat. At special occasions people wore gowns made of expensive materials, and these preferred by Pipo of Ozora too. Hungarian people had unique hair styles and wore high (fur) caps. Their trousers were simple in general, only their colour being unusual, but the dolman covered the greater part of the trousers. Trousers were introduced into Western European culture at several points in history, but gained their current predominance only in the 16th century, from a Commedia dell'Arte character named "Pantalone" (Italian word for Trousers). In England in the Twelfth century, the rustic were often seen in long garments to the ankle, rather like trousers, which are really glorified braies. Strangely enough, trouserlike garments, which became rare again in the thirteenth century, vanished during the fourteenth century and scarcely reappeared for six hundred years. The word itself is of Gaelic or Scots Gaelic origin, from the Middle Irish word "triubhas" (close-fitting shorts), however it is important to note that trews of the Early Industrial Period were in not trousers. Men's trousers. Trousers trace their ancestry to the individual hose worn by men in the 15th century (which is why trousers are plural and not singular). The hose were easy to make and fastened to a doublet at the top with ties called "points". It is important that at this point in time, these were not trousers, but trews, as can be seen in the 1746 painting by David Morier.. As time went by, the two hose were joined, first in the back then across the front, but still leaving a large opening for sanitary functions. Originally, doublets came almost to the knees, effectively covering the private parts, but as fashions changed and doublets became shorter, it became necessary for men to cover their genitals with a codpiece. By the end of the 16th century, the codpiece had been incorporated into the hose, now usually called breeches, which were roughly knee-length and featured a "fly" or "fall front" opening. During the French Revolution, the male citizens of France adopted a working-class costume including ankle-length trousers or pantaloons in place of the aristocratic knee-breeches. This style was introduced to England in the early 19th century, possibly by Beau Brummell, and supplanted breeches as fashionable street wear by mid-century. Breeches survived into the 1940s as the plus-fours or knickers worn for active sports and by young school-boys. Types of breeches are still worn today by baseball and American football players. Sailors may have played a role in the dissemination of trousers as a fashion around the world. In the 17th and 18th centuries, sailors wore baggy trousers known as "galligaskins". Sailors were also the first to wear jeans, trousers made of denim. These became more popular in the late 19th century in the American West, because of their ruggedness and durability. Women's trousers. Although trousers for women in western countries did not become fashion items until the later 20th century, women began wearing men's trousers (suitably altered) for outdoor work a hundred years earlier. Starting around the mid 19th Century, Wigan "pit brow girls" scandalized Victorian society by wearing trousers for their work at the local coal mines. They wore skirts over their trousers and rolled them up to their waist to keep them out of the way. Although "pit brow lassies" worked above-ground at the pit-head, the task of sorting and shovelling coal was hard manual labour, so wearing the usual long skirts of the time would have greatly hindered their movements. Women working the ranches of the 19th century American West also wore trousers for riding, and in the early 20th century aviatrices and other working women often wore trousers. Actresses Marlene Dietrich and Katharine Hepburn were often photographed in trousers from the 1930s and helped make trousers acceptable for women. During World War II, women working in factories and doing other forms of "men's work" on war service wore trousers when the work demanded it, and in the post-war era trousers became acceptable casual wear for gardening, the beach, and other leisure pursuits. In Britain during the Second World War, because of the rationing of clothing, many women took to wearing their husbands' civilian clothes, including their trousers, to work while their husbands were away in the armed forces. This was partly because they were seen as practical garments of workwear, and partly to allow women to keep their clothing allowance for other uses. As this practice of wearing trousers became more widespread and as the men's clothes wore out, replacements were needed, so that by the summer of 1944 it was reported that sales of women's trousers were five times more than in the previous year. In the 1960s, André Courrèges introduced long trousers for women as a fashion item, leading to the era of the pantsuit and designer jeans and the gradual eroding of the prohibitions against girls and women wearing trousers in schools, the workplace, and fine restaurants. Pleats. Pleats just below the waistband on the front are typical of many styles of formal and casual trousers including suit trousers and khakis. There may be one, two, three, or no pleats, which may face either direction. When the pleats open towards the pockets they are called reverse pleats (typical of khakis and corduroy trousers) and when they open toward the zipper, they are known as forward pleats. Utilitarian or very casual styles such as jeans and cargo pants are flat-front (without pleats at the waistband) but may have bellows pockets. Cuffs. Most trouser legs are finished by hemming the bottom to prevent fraying. Trousers with cuffs ("turn-ups" in British English), after hemming, are rolled outward and sometimes pressed or stitched into place. The main reason for the cuffs is to add weight to the bottom of the leg, to help the drape of the trousers. Fly. A fly on clothing is a covering over an opening join concealing the mechanism, such as a zip, velcro or buttons used to join the opening. The term is most frequently applied to a short opening in trousers, shorts and other garments covering the groin, and to allow garments to be taken on and off with greater ease. Trousers have varied historically in whether or not they have flies. Originally, hose did not cover between the legs, which was hidden by a codpiece, and when breeches were worn, for example in the Regency period, they were fall-fronted (or broad fall). After trousers (pantaloons) were later invented later the fly-front (split fall) emerged. Later the panelled front returned as a sporting option, such as in riding breeches, but is now hardly used, flies being by far the most common fastening. Most flies now use a zip, though enthusiasts continue to wear button flies. Society. It is customary in the western world for men to wear trousers and not skirts or dresses. However, there are exceptions, such as the Scottish kilt and the Greek foustanella, worn on ceremonial occasions, as well as robes or robe-like clothing such as the cassocks, etc. of clergy and academic robes (both rarely worn in daily use today). (See also Men's skirts.) Based on Deuteronomy 22:5 in the Bible, some groups believe that women should not wear trousers, but only skirts and dresses. Among certain groups, low-rise, baggy trousers exposing underwear are in fashion, e.g. among skaters and in 1990s hip hop fashion despite its prison-based origins. This fashion is called sagging. "Cut-offs" are homemade shorts made by cutting the legs off trousers, usually after holes have been worn in fabric around the knees. This extends the useful life of the trousers. The remaining leg fabric may be hemmed or left to fray after being cut. Removing one's trousers in public is considered taboo. Law. In May 2004 in Louisiana, state legislator Derrick Shepherd proposed a bill that would make it a crime to appear in public wearing trousers below the waist and thereby exposing one's skin or "intimate clothing". The Louisiana bill was retracted after negative public reaction. In February 2005, Virginia legislators tried to pass a similar law that would have made punishable by a $50 fine: "any person who, while in a public place, intentionally wears and displays his below-waist undergarments, intended to cover a person's intimate parts, in a lewd or indecent manner". It is not clear whether, with the same coverage by the trousers, exposing underwear was considered worse than exposing bare skin, or that the latter was already covered by another law. It passed in the Virginia House of Delegates. However, various criticisms to it arose. For example, newspaper columnists and radio talk show hosts consistently said that since most people that would be penalized under the law would be young African-American men, the law would thus be a form of discrimination against them. Virginia's state senators voted against passing the law. Carol Broussard, mayor of Delcambre, said that he will sign the proposal unanimously passed by town councillors, so that wearing trousers that reveal one's underwear will lead to a $500 penalty and the risk of six months in jail. "If you expose your private parts, you'll get a fine," said Mr Broussard. He told the Associated Press that people wearing low-slung trousers are "better off taking the pants off and wearing a dress." Ted Ayo, town attorney, said that the new legislation would expand on existing indecent exposure laws in Louisiana: "This is a new ordinance that deals specifically with sagging pants. It's about showing off your underwear in public". Mr. Broussard has received local criticism for the ordinance, with some Delcambre residents claiming that the proposal is racially motivated, due to the popularity of "sagging pants" among black hip-hop fans. However, he responded: "White people wear sagging pants, too." Bees'" are flying insects closely related to wasps and ants. Bees are a monophyletic lineage within the superfamily "'Apoidea'", presently classified by the unranked taxon name "'Anthophila'". There are nearly 20,000 known species of bee, in nine recognized families, though many are undescribed and the actual number is probably higher. They are found on every continent except Antarctica, in every habitat on the planet that contains insect-pollinated flowering plants. Introduction. Bees are adapted for feeding on nectar and pollen, the former primarily as an energy source, and the latter primarily for protein and other nutrients. Most pollen is used as food for larvae. Bees have a long proboscis (a complex "tongue") that enables them to obtain the nectar from flowers. They have antennae almost universally made up of 13 segments in males and 12 in females, as is typical for the superfamily. Bees all have two pairs of wings, the hind pair being the smaller of the two; in a very few species, one sex or caste has relatively short wings that make flight difficult or impossible, but none is wingless. The smallest bee is "Trigona minima", a stingless bee whose workers are about 2.1 mm (5 64") long. The largest bee in the world is "Megachile pluto", a leafcutter bee whose females can attain a length of 39 mm (1.5"). Members of the family Halictidae, or sweat bees, are the most common type of bee in the Northern Hemisphere, though they are small and often mistaken for wasps or flies. The best-known bee species is the European honey bee, which, as its name suggests, produces honey, as do a few other types of bee. Human management of this species is known as beekeeping or apiculture. Bees are the favorite meal of "Merops apiaster", the bee-eater bird. Other common predators are kingbirds, mockingbirds, bee wolves, and dragonflies. Pollination. Bees play an important role in pollinating flowering plants, and are the major type of pollinator in ecosystems that contain flowering plants. Bees either focus on gathering nectar or on gathering pollen depending on demand, especially in social species. Bees gathering nectar may accomplish pollination, but bees that are deliberately gathering pollen are more efficient pollinators. It is estimated that one third of the human food supply depends on insect pollination, most of which is accomplished by bees, especially the domesticated European honey bee. Contract pollination has overtaken the role of honey production for beekeepers in many countries. Monoculture and the massive decline of many bee species (both wild and domesticated) have increasingly caused honey bee keepers to become migratory so that bees can be concentrated in seasonally-varying high-demand areas of pollination. Most bees are fuzzy and carry an electrostatic charge, which aids in the adherence of pollen. Female bees periodically stop foraging and groom themselves to pack the pollen into the scopa, which is on the legs in most bees, and on the ventral abdomen on others, and modified into specialized pollen baskets on the legs of honey bees and their relatives. Many bees are opportunistic foragers, and will gather pollen from a variety of plants, while others are oligolectic, gathering pollen from only one or a few types of plant. A small number of plants produce nutritious floral oils rather than pollen, which are gathered and used by oligolectic bees. One small subgroup of stingless bees, called "vulture bees," is specialized to feed on carrion, and these are the only bees that do not use plant products as food. Pollen and nectar are usually combined together to form a "provision mass", which is often soupy, but can be firm. It is formed into various shapes (typically spheroid), and stored in a small chamber (a "cell"), with the egg deposited on the mass. The cell is typically sealed after the egg is laid, and the adult and larva never interact directly (a system called "mass provisioning"). Visiting flowers can be a dangerous occupation. Many assassin bugs and crab spiders hide in flowers to capture unwary bees. Other bees are lost to birds in flight. Insecticides used on blooming plants kill many bees, both by direct poisoning and by contamination of their food supply. A honey bee queen may lay 2000 eggs per day during spring buildup, but she also must lay 1000 to 1500 eggs per day during the foraging season, mostly to replace daily casualties, most of which are workers dying of old age. Among solitary and primitively social bees, however, lifetime reproduction is among the lowest of all insects, as it is common for females of such species to produce fewer than 25 offspring. The population value of bees depends partly on the individual efficiency of the bees, but also on the population itself. Thus, while bumblebees have been found to be about ten times more efficient pollinators on cucurbits, the total efficiency of a colony of honey bees is much greater, due to greater numbers. Likewise, during early spring orchard blossoms, bumblebee populations are limited to only a few queens, and thus are not significant pollinators of early fruit. Depopulation. Recently, managed populations of European honey bees have experienced substantial declines. This has prompted investigations into the phenomenon amidst great concern over the nature and extent of the losses. One aspect of the problem is believed to be "Colony Collapse Disorder" but many of the losses outside the US are attributed to other causes. Pesticides used to treat seeds, such as Clothianidin and Imidacloprid, may also negatively impact honey bee populations. Other species of bees such as mason bees are increasingly cultured and used to meet the agricultural pollination need. Most native pollinators are solitary bees, which often survive in refuge in wild areas away from agricultural spraying, but may still be poisoned in massive spray programs for mosquitoes, gypsy moths, or other insect pests. Evolution. Bees, like ants, are a specialized form of wasp. The ancestors of bees were wasps in the family Crabronidae, and therefore predators of other insects. The switch from insect prey to pollen may have resulted from the consumption of prey insects that were flower visitors and were partially covered with pollen when they were fed to the wasp larvae. This same evolutionary scenario has also occurred within the vespoid wasps, where the group known as "pollen wasps" also evolved from predatory ancestors. Up until recently the oldest non-compression bee fossil had been "Cretotrigona prisca" in New Jersey amber and of Cretaceous age, a meliponine. A recently reported bee fossil, of the genus "Melittosphex", is considered "an extinct lineage of pollen-collecting Apoidea sister to the modern bees", and dates from the early Cretaceous (~100 mya). Derived features of its morphology ("apomorphies") place it clearly within the bees, but it retains two unmodified ancestral traits ("plesiomorphies") of the legs (two mid-tibial spurs, and a slender hind basitarsus), indicative of its transitional status. The earliest animal-pollinated flowers were pollinated by insects such as beetles, so the syndrome of insect pollination was well established before bees first appeared. The novelty is that bees are "specialized" as pollination agents, with behavioral and physical modifications that specifically enhance pollination, and are generally more efficient at the task than beetles, flies, butterflies, pollen wasps, or any other pollinating insect. The appearance of such floral specialists is believed to have driven the adaptive radiation of the angiosperms, and, in turn, the bees themselves. Among living bee groups, the Dasypodaidae are now considered to be the most "primitive", and sister taxon to the remainder of the bees, contrary to earlier hypotheses that the "short-tongued" bee family Colletidae was the basal group of bees; the short, wasp-like mouthparts of colletids are the result of convergent evolution, rather than indicative of a plesiomorphic condition. Eusocial and semisocial bees. Bees may be solitary or may live in various types of communities. The most advanced of these are eusocial colonies found among the honey bees, bumblebees, and stingless bees. Sociality, of several different types, is believed to have evolved separately many times within the bees. In some species, groups of cohabiting females may be sisters, and if there is a division of labor within the group, then they are considered semisocial. If, in addition to a division of labor, the group consists of a mother and her daughters, then the group is called eusocial. The mother is considered the "queen" and the daughters are "workers". These castes may be purely behavioral alternatives, in which case the system is considered "primitively eusocial" (similar to many paper wasps), and if the castes are morphologically discrete, then the system is "highly eusocial". There are many more species of primitively eusocial bees than highly eusocial bees, but they have rarely been studied. The biology of most such species is almost completely unknown. The vast majority are in the family Halictidae, or "sweat bees". Colonies are typically small, with a dozen or fewer workers, on average. The only physical difference between queens and workers is average size, if they differ at all. Most species have a single season colony cycle, even in the tropics, and only mated females (future queens, or "gynes") hibernate (called diapause). A few species have long active seasons and attain colony sizes in the hundreds. The orchid bees include a number of primitively eusocial species with similar biology. Certain species of allodapine bees (relatives of carpenter bees) also have primitively eusocial colonies, with unusual levels of interaction between the adult bees and the developing brood. This is "progressive provisioning"; a larva's food is supplied gradually as it develops. This system is also seen in honey bees and some bumblebees. Highly eusocial bees live in colonies. Each colony has a single queen, many workers and, at certain stages in the colony cycle, drones. When humans provide the nest, it is called a hive. A honey bee hive can contain up to 40,000 bees at their annual peak, which occurs in the spring, but usually have fewer. Bumblebees. Bumblebees ("Bombus terrestris", "B. pratorum", et al.) are eusocial in a manner quite similar to the eusocial Vespidae such as hornets. The queen initiates a nest on her own (unlike queens of honey bees and stingless bees which start nests via swarms in the company of a large worker force). Bumblebee colonies typically have from 50 to 200 bees at peak population, which occurs in mid to late summer. Nest architecture is simple, limited by the size of the nest cavity (pre-existing), and colonies are rarely perennial. Bumblebee queens sometimes seek winter safety in honey bee hives, where they are sometimes found dead in the spring by beekeepers, presumably stung to death by the honey bees. It is unknown whether any survive winter in such an environment. Stingless bees. Stingless bees are very diverse in behavior, but all are highly eusocial. They practice mass provisioning, complex nest architecture, and perennial colonies. Honey bees. The true honey bees (genus "Apis") have arguably the most complex social behavior among the bees. The European (or Western) honey bee, "Apis mellifera", is the best known bee species and one of the best known of all insects. Africanized honey bee. Africanized bees, also called killer bees, are a hybrid strain of "Apis mellifera" derived from experiments to cross European and African honey bees by Warwick Estevam Kerr. Several queen bees escaped his laboratory in South America and have spread throughout the Americas. Africanized honey bees are more defensive than European honey bees. Solitary and communal bees. Most other bees, including familiar species of bee such as the Eastern carpenter bee ("Xylocopa virginica"), alfalfa leafcutter bee ("Megachile rotundata"), orchard mason bee ("Osmia lignaria") and the hornfaced bee ("Osmia cornifrons") are solitary in the sense that every female is fertile, and typically inhabits a nest she constructs herself. There are no "worker" bees for these species. Solitary bees typically produce neither honey nor beeswax. They are immune from acarine and "Varroa" mites (see diseases of the honey bee), but have their own unique parasites, pests and diseases. Solitary bees are important pollinators, and pollen is gathered for provisioning the nest with food for their brood. Often it is mixed with nectar to form a paste-like consistency. Some solitary bees have very advanced types of pollen carrying structures on their bodies. A very few species of solitary bees are being increasingly cultured for commercial pollination. Solitary bees are often oligoleges, in that they only gather pollen from one or a few species genera of plants (unlike honey bees and bumblebees which are generalists). No known bees are nectar specialists; many oligolectic bees will visit multiple plants for nectar, but there are no bees which visit only one plant for nectar while also gathering pollen from many different sources. Specialist pollinators also include bee species that gather floral oils instead of pollen, and male orchid bees, which gather aromatic compounds from orchids (one of the only cases where male bees are effective pollinators). In a very few cases only one species of bee can effectively pollinate a plant species, and some plants are endangered at least in part because their pollinator is dying off. There is, however, a pronounced tendency for oligolectic bees to be associated with common, widespread plants which are visited by multiple pollinators (e.g., there are some 40 oligoleges associated with creosotebush in the US desert southwest, and a similar pattern is seen in sunflowers, asters, mesquite, etc.) Solitary bees create nests in hollow reeds or twigs, holes in wood, or, most commonly, in tunnels in the ground. The female typically creates a compartment (a "cell") with an egg and some provisions for the resulting larva, then seals it off. A nest may consist of numerous cells. When the nest is in wood, usually the last (those closer to the entrance) contain eggs that will become males. The adult does not provide care for the brood once the egg is laid, and usually dies after making one or more nests. The males typically emerge first and are ready for mating when the females emerge. Providing nest boxes for solitary bees is increasingly popular for gardeners. Solitary bees are either stingless or very unlikely to sting (only in self defense, if ever). While solitary females each make individual nests, some species are gregarious, preferring to make nests near others of the same species, giving the appearance to the casual observer that they are social. Large groups of solitary bee nests are called "aggregations", to distinguish them from colonies. In some species, multiple females share a common nest, but each makes and provisions her own cells independently. This type of group is called "communal" and is not uncommon. The primary advantage appears to be that a nest entrance is easier to defend from predators and parasites when there are multiple females using that same entrance on a regular basis. Cleptoparasitic bees. Cleptoparasitic bees, commonly called "cuckoo bees" because their behavior is similar to cuckoo birds, occur in several bee families, though the name is technically best applied to the apid subfamily Nomadinae. Females of these bees lack pollen collecting structures (the scopa) and do not construct their own nests. They typically enter the nests of pollen collecting species, and lay their eggs in cells provisioned by the host bee. When the cuckoo bee larva hatches it consumes the host larva's pollen ball, and if the female cleptoparasite has not already done so, kills and eats the host larva. In a few cases where the hosts are social species, the cleptoparasite remains in the host nest and lays many eggs, sometimes even killing the host queen and replacing her. Many cleptoparasitic bees are closely related to, and resemble, their hosts in looks and size, (i.e., the "Bombus" subgenus "Psithyrus", which are parasitic bumblebees that infiltrate nests of species in other subgenera of "Bombus"). This common pattern gave rise to the ecological principle known as "Emery's Rule". Others parasitize bees in different families, like "Townsendiella", a nomadine apid, one species of which is a cleptoparasite of the dasypodaid genus "Hesperapis", while the other species in the same genus attack halictid bees. Nocturnal bees. Four bee families (Andrenidae, Colletidae, Halictidae, and Apidae) contain some species that are crepuscular (these may be either the vespertine or matinal type). These bees have greatly enlarged ocelli, which are extremely sensitive to light and dark, though incapable of forming images. Many are pollinators of flowers that themselves are crepuscular, such as evening primroses, and some live in desert habitats where daytime temperatures are extremely high. Bee flight. In his 1934 French book "Le vol des insectes", M. Magnan wrote that he and a Mr. Saint-Lague had applied the equations of air resistance to bumblebees and found that their flight could not be explained by fixed-wing calculations, but that "One shouldn't be surprised that the results of the calculations don't square with reality". This has led to a common misconception that bees "violate aerodynamic theory", but in fact it merely confirms that bees do not engage in fixed-wing flight, and that their flight is explained by other mechanics. In 1996 Charlie Ellington at Cambridge University showed that vortices created by many insects’ wings and non-linear effects were a vital source of lift; vortices and non-linear phenomena are notoriously difficult areas of hydrodynamics, which has made for slow progress in theoretical understanding of insect flight. In 2005 Michael Dickinson and his Caltech colleagues studied honey bee flight with the assistance of high-speed cinematography and a giant robotic mock-up of a bee wing. Their analysis revealed sufficient lift was generated by "the unconventional combination of short, choppy wing strokes, a rapid rotation of the wing as it flops over and reverses direction, and a very fast wing-beat frequency". Wing beat frequency normally increases as size decreases, but as the bee's wing beat covers such a small arc, it flaps approximately 230 times per second, faster than a fruitfly (200 times per second) which is 80 times smaller. In 2008 Barbara Shipman discovered a mathematical connection between the dance of bees and the Flag manifold. Bees and humans. Bees figure prominently in mythology (See Bee (mythology)) and have been used by political theorists as a model for human society. Journalist Bee Wilson states that the image of a community of honey bees "occurs from ancient to modern times, in Aristotle and Plato; in Virgil and Seneca; in Erasmus and Shakespeare; Tolstoy, as well as by social theorists Bernard Mandeville and Karl Marx." Despite the honey bee's painful sting and the stereotype of insects as pests, bees are generally held in high regard. This is most likely due to their usefulness as pollinators and as producers of honey, their social nature, and their reputation for diligence. Bees are one of the few insects regularly used on advertisements, being used to illustrate honey and foods made with honey (such as Honey Nut Cheerios). In North America, yellowjackets and hornets, especially when encountered as flying pests, are often misidentified as bees, despite numerous differences between them; see Characteristics of common wasps and bees. Although a bee sting can be deadly to those with allergies, virtually all bee species are non-aggressive if undisturbed and many cannot sting at all. Humans are often a greater danger to bees, as bees can be affected or even harmed by encounters with toxic chemicals in the environment; see Bees and toxic chemicals.