According to law professor Brian Z. Tamanaha, " Throughout the so-called formalist age, it turns out, many prominent judges and jurists acknowledged that there were gaps and uncertainties in the law and that judges must sometimes make choices.

According to Mark Bollman, a mathematics and calculator historian and associate professor of mathematics at Albion College, the " Construction Master is the first in a long and profitable line of CI construction calculators " which carried them through the 1980s, 1990s, and to the present.

According to Husserl, this view of logic and mathematics accounted for the objectivity of a series of mathematical developments of his time, such as n-dimensional manifolds ( both Euclidean and non-Euclidean ), Hermann Grassmann's theory of extensions, William Rowan Hamilton's Hamiltonians, Sophus Lie's theory of transformation groups, and Cantor's set theory.

According to Pickover, the mathematics behind fractals began to take shape in the 17th century when the mathematician and philosopher Gottfried Leibniz pondered recursive self-similarity ( although he made the mistake of thinking that only the straight line was self-similar in this sense ).

According to Carnap's " Logicist Foundations of Mathematics ", Russell wanted a theory that could plausibly be said to derive all of mathematics from purely logical axioms.

According to Steinhaus, while he was strolling through the gardens he was surprised to over hear the term " Lebesgue measure " ( Lebesgue integration was at the time still a fairly new idea in mathematics ) and walked over to investigate.

According to ScienceWatch, UVic is nationally ranked first in geoscience, second in space science and education, and third in engineering and mathematics for the period of 2000 – 2004.

According to Lakoff, even mathematics is subjective to the human species and its cultures: thus " any question of math's being inherent in physical reality is moot, since there is no way to know whether or not it is.

According to Parentalia, he was " initiated " in the principles of mathematics by Dr William Holder, who married Wren's elder sister Susan ( or Susanna ) in 1643.

According to general semantics, language, natural or otherwise ( including the language called ' mathematics ') can be used to describe the taste of an orange, but one cannot give the taste of the orange using language alone.

According to general semantics, the content of all knowledge is structure, so that language ( in general ) and science and mathematics ( in particular ) can provide people with a structural ' map ' of empirical facts, but there can be no ' identity ', only structural similarity, between the language ( map ) and the empirical facts as lived through and observed by people as humans-in-environments ( including doctrinal and linguistic environments ).

According to Lewis ( 1918 ), the " principle of these diagrams is that classes set ( mathematics ) | set s be represented by regions in such relation to one another that all the possible logical relations of these classes can be indicated in the same diagram.

According to the mathematics of drift, when comparing divergent populations, most of the single-nucleotide differences can be assumed to have accumulated at the same rate as individuals with mutations are born.

According to Elvin, Chinese knowledge of science, mathematics, and engineering in the 14th century was far more advanced than anywhere else in the world.

According to Porterfield, " There he improved his mathematics, struggled with Latin, listened to music that stirred him ( opera and oratorios, light ' classics ' of the day ), and learned, for the first time, of two poets — Tennyson and Browning — whose work would soon become an integral part of his intellectual equipment.

According to McLarty ( 2005 ), this diagrammatic approach to contemporary mathematics largely stems from Mac Lane ( 1948 ).

According to his great-great-grandson, d ' Alembert received him rather poorly, and to get rid of him gave him a thick mathematics book, saying to come back when he had read it.

According to the Department of Education 2011 breakdown of A-level results, John Mason were the sixth best in the UK for performance in mathematics, with 38 % of students getting A * grade.

According to Kapoor, she was a good student and received first-class honours in all subjects except mathematics.

According to one of the classic texts of Confucianism, Zhou Li ( 周禮 / 周礼 ), Archery and charioteering were part of the " six arts " (, including rites, music, calligraphy and mathematics ) of the Zhou Dynasty ( 1122 – 256 BCE ).

According to Shamir, he read mathematics and law at Novosibirsk University.

According to Sol Garfunkel, the cake-cutting problem had been one of the most important open problems in 20th century mathematics, when the most important variant of the problem was finally solved with the Brams-Taylor procedure by Steven Brams and Alan Taylor in 1995.

According to a Pennsylvania Department of Education study released in January 2009, 25 % of Pleasant Valley High School graduates required remediation in mathematics and or reading before they were prepared to take college level courses in the Pennsylvania State System of Higher Education or community colleges.

According to a Pennsylvania Department of Education study released in January 2009, 25 % of Pleasant Valley High School graduates required remediation in mathematics and or reading before they were prepared to take college level courses in the Pennsylvania State System of Higher Education or community colleges.

According to Katherine Litz, `` the becoming, the process of realization, is the dance ''.

According to the official interpretation of the Charter, a member cannot be penalized by not having the right to vote in the General Assembly for nonpayment of financial obligations to the `` special '' United Nations' budgets, and of course cannot be expelled from the Organization ( which you suggested in your editorial ), due to the fact that there is no provision in the Charter for expulsion.

According to Friends, the unit was organized by John Snook, a former World War 2, commando who is vice president and general manager of the telephone company.

According to Philippoff, the recoverable shear S is given by Af where **yc is the angle of extinction.

According to Whipple ( 1955 ), cometary debris is sufficient to replenish the material spiraling into the sun, maintaining a fairly steady state.

According to the theory proposed, this is a consequence of the severe condition of perceived threat that persists unabated for the anxious child in an ambiguous sort of school environment.

According to the theory underlying odd-lot indices, the trader who trades odd lots is most likely a small trader, one who can't afford to trade round lots.

According to Dr. Ellis, the average 20-year-old American woman is capable of far greater sexual arousal than her partner.

According to a newspaper report of the 1961 statistics of the Church of England, the `` total of confirmed members is 9,748,000, but only 2,887,671 are registered on the parochial church rolls '', and `` over 27 million people in England are baptized into the Church of England, but roughly only a tenth of them continue ''.

According to the fossil record, Lissamphibia, which includes all modern amphibians and is the only surviving lineage, may have branched off from the extinct groups Temnospondyli and Lepospondyli at some period between the Late Carboniferous and the Early Triassic.

According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

According to the definition by IUPAC, the former two are alkanes, whereas the third group is called cycloalkanes.

According to adventurer André Malraux, in his La Condition Humaine ( 1933 ), " If a man is not ready to risk his life, where is his dignity ?".

According to the Catholic Encyclopedia, an Allocution is a solemn form of address or speech from the throne employed by the Pope on certain occasions.

According to Richard Dawkins, a distinction between agnosticism and atheism is unwieldy and depends on how close to zero we are willing to rate the probability of existence for any given god-like entity.

According to Tillich, the last of these three types of existential anxiety, i. e. spiritual anxiety, is predominant in modern times while the others were predominant in earlier periods.

According to Viktor Frankl, the author of Man's Search for Meaning, when a person is faced with extreme mortal dangers, the most basic of all human wishes is to find a meaning of life to combat the " trauma of nonbeing " as death is near.

According to one analyst, Armenia's economic system is anticompetitive due to the structure of the economy being a type of " monopoly or oligopoly ".

According to the estimate of a former prime minister, Hrant Bagratian, 55 percent of Armenia's GDP is controlled by 44 families.

According to the Central Bank of Armenia, in 2005, cash remittances from Armenians working abroad reached a record-high level of $ 1 billion, which is worth more than one fifth of the country ’ s 2005 Gross Domestic Product.

According to the ROA National Statistical Service, the average monthly salary during January-June 2008 is 86, 850 drams ( about $ 287 at the time ).