Although Utopian communism is both new in 1516 and also modern, it is not modern communism or even modern socialism, as they exist or have ever existed in theory or in practice.

Although originally controversial, the axiom of choice is now used without reservation by most mathematicians, and it is included in ZFC, the standard form of axiomatic set theory.

Although the Principate continued in theory until the reign of Diocletian, Severus Alexander's death signalled the beginning of the chaotic period known as the Crisis of the Third Century which brought the empire to near collapse.

Although Grothendieck himself never published his work in this area, the proposal became the inspiration for work by other mathematicians and the source of the theory of dessins d ' enfants.

Although observations of some aerodynamic effects such as wind resistance ( e. g. drag ) were recorded by Aristotle, Leonardo da Vinci and Galileo Galilei, very little effort was made to develop a rigorous quantitative theory of air flow prior to the 17th century.

Although Zermelo's fix allows a class to describe arbitrary ( possibly " large ") entities, these predicates of the meta-language may have no formal existence ( i. e., as a set ) within the theory.

Although now debated, this theory has been the scholarly consensus for many centuries.

Although the Ezra theory is disputed, no other authorship theories are dominant.

Although this theory has the Persians moving to the strategic offensive, this can be reconciled with the traditional account of the Athenians attacking the Persians by assuming that, seeing the Persians advancing, the Athenians took the tactical offensive, and attacked them.

Although there is no strong evidence for any single theory, many independent theories exist, some blaming storms, some capsizing, and some suggesting that wartime enemy activity was to blame for the loss.

Although the perception by the public may be that the " central bank " controls some or all interest rates and currency rates, economic theory ( and substantial empirical evidence ) shows that it is impossible to do both at once in an open economy.

Although a " bijection " seems a more advanced concept than a number, the usual development of mathematics in terms of set theory defines functions before numbers, as they are based on much simpler sets.

Although Wegener's theory was formed independently and was more complete than those of his predecessors, Wegener later credited a number of past authors with similar ideas:

Although Locke did not develop a theory of natural rights, he envisioned individuals in the state of nature as being free and equal.

Although Bohr, Fowler, Pauli, and other physicists agreed with Chandrasekhar's analysis, at the time, owing to Eddington's status, they were unwilling to publicly support Chandrasekhar .< sup >, pp. 110 – 111 </ sup > Through the rest of his life, Eddington held to his position in his writings, including his work on his fundamental theory.

Although Story was highly intelligent and familiar with all the relevant English precedents, he merely summarized them in a confused fashion because he " could not conceive of a modern function or a coherent theory for representative litigation: why?

Although recognized previously by others, the mathematical expression for the Coriolis force appeared in an 1835 paper by French scientist Gaspard-Gustave Coriolis, in connection with the theory of water wheels, Early in the 20th century, the term Coriolis force began to be used in connection with meteorology.

Although Proust proved his theory by accurate measurements, his theory was not immediately accepted partially due to Berthollet's authority.

Although many modern commentators have demurred from Hume's solution, some have notably concurred with it, seeing his analysis of our epistemic predicament as a major contribution to the theory of knowledge.

Although passive cable theory offers insights regarding input propagation along dendrite segments, it is important to remember that dendrite membranes are host to an abundance of proteins some of which may help amplify or attenuate synaptic input.

Although the theories that premise doublespeak are still indefinite, there are some theories that have parallels with the theory of doublespeak and Orwell's ideology in Nineteen Eighty-Four and might possibly provide a better understanding of where doublespeak's theories could have come from.

Although the very act of codification was a radical innovation, given the precedent-based design of the Roman legal system, the jurists were generally conservative, and constantly looked to past Roman practice and theory for guidance.

Although most of the relevant tissues and endocrine glands had been identified by early anatomists, a more humoral approach to understanding biological function and disease was favoured by the ancient Greek and Roman thinkers such as Aristotle, Hippocrates, Lucretius, Celsus, and Galen, according to Freeman et al., and these theories held sway until the advent of germ theory, physiology, and organ basis of pathology in the 19th century.

Although best known for its geometric results, the Elements also includes number theory.

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 this technique is simple and satisfactory, one practical difficulty does exist: the direction of true north must be known for each launch point.

Although modern scholars have expressed surprise that `` the simple magic square of three '', a mere `` mathematical puzzle '', was able to exert a considerable influence on the minds and imaginations of the cultured Chinese for so many centuries, they could have found most of the answers right within the square itself.

Although specialized and experienced amateur astronomers tend to acquire more specialized and more powerful equipment over time, relatively simple equipment is often preferred for certain tasks.

Although metics had no direct political influence many were wealthy business owners who could, and sometimes did, influence policy by not allowing their citizen employees time off to attend the assembly, as well as having the simple expedient of wealth.

Although the butterfly effect may appear to be an esoteric and unlikely behavior, it is exhibited by very simple systems: for example, a ball placed at the crest of a hill may roll into any of several valleys depending on, among other things, slight differences in initial position.

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 once thought to be a simple solution of molecules, multiple levels of organization exist in the cytosol.

Although computing a power spectrum from a map is in principle a simple Fourier transform, decomposing the map of the sky into spherical harmonics, in practice it is hard to take the effects of noise and foreground sources into account.

Although some consider Lang's work to be simple melodrama, he produced a coherent oeuvre that helped to establish the characteristics of film noir, with its recurring themes of psychological conflict, paranoia, fate and moral ambiguity.

Although this pattern of inheritance could only be observed for a few traits, Mendel's work suggested that heredity was particulate, not acquired, and that the inheritance patterns of many traits could be explained through simple rules and ratios.

Although Epicureanism is a form of hedonism, insofar as it declares pleasure as the sole intrinsic good, its conception of absence of pain as the greatest pleasure and its advocacy of a simple life make it different from " hedonism " as it is commonly understood.

Although the rules seem simple, it is hard to use classical hexameter in English, because English is a stress-timed language that condenses vowels and consonants between stressed syllables, while hexameter relies on the regular timing of the phonetic sounds.

Although a comic strip, it was far from a simple children's fantasy ; it was often dark, surreal, threatening, and even violent.

Although some of the miniatures are framed by simple rectangles with corners embellished by the golden castles and lions of Castile and León, other are framed by medieval Spanish architectural motifs, including Gothic and Mudéjar arcades of columns and arches.

Although simple to produce, AI-dependent results are unpredictable, thus complicating the realization of a preconceived film script.

Although Shakespearean experts disparaged Ogburn's methodology and his conclusions, one reviewer, Richmond Crinkley, the Folger Shakespeare Library's former director of educational programs, acknowledged the appeal of Ogburn's approach, writing that the doubts over Shakespeare, " arising early and growing rapidly ", have a " simple, direct plausibility ", and the dismissive attitude of established scholars only worked to encourage such doubts.

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 those seem simple to a person in calm circumstances, it is considered that less can go wrong with a simpler action when the user is highly stressed.

Although I suspect I will never fully understand, I now think the answer is very simple: it ’ s

Although their real-time behavior is less crisp than semaphore systems, simple message-based systems avoid most protocol deadlock hazards, and are generally better-behaved than semaphore systems.

Although it's possible to augment simple reference counts in a variety of ways, often a better solution can be found by performing reference counting in a fundamentally different way.

Although this would generate unacceptable distortion in a music signal, the peaky nature of speech waveforms, combined with the simple frequency structure of speech as a periodic waveform having a single fundamental frequency with occasional added noise bursts, make these very simple instantaneous compression algorithms acceptable for speech.

Although originally designed for simple voice communications, most modern telephones have many additional capabilities.