By the same means he perceives this fact as having communicated itself to the audience ; ;

By no means would we discourage the production of ideas: they provide raw materials with which to work ; ;

By 1937 he had clarified his intentions to serve his people: `` I have striven for clarity and melodious idiom, but at the same time I have by no means attempted to restrict myself to the accepted methods of harmony and melody.

By means of geographical isolation and high fertility rates, inbreeding can be fostered and the pattern of isolation from the greater society maintained.

By means of this social control, deviance is either eliminated or somehow made compatible with the function of the social group.

By all means the most important distinction is that between those total-cost apportionments which superimpose a distribution of admittedly unallocable cost residues on estimates of incremental or marginal costs, and those other apportionments which recognize no difference between true cost allocation and mere total-cost distribution.

By no means.

By no means are these isolated cases.

By means of charts showing wave-travel times and depths in the ocean at various locations, it is possible to estimate the rate of approach and probable time of arrival at Hawaii of a tsunami getting under way at any spot in the Pacific.

By no means do all Jews today believe in reincarnation, but belief in reincarnation is not uncommon among many Jews, including Orthodox.

By " impressions ", he means sensations, while by " ideas ", he means memories and imaginings.

By " chance ", he means all those particular comprehensible events which the viewer considers possible in accord with their experience.

By " necessary connection ", Hume means the power or force which necessarily ties one idea to another.

By allowing a new kind of equality among citizens this opened the way to democracy, which in turn called for a new means, chattel slavery, to at least partially equalise the availability of leisure between rich and poor.

By extension, the term " embark " literally means to board the kind of boat called a " barque ".

By such subtle means were Cranmer's purposes further confused, leaving it for generations to argue over the precise theology of the rite.

By contrast, in civil law jurisdictions ( the legal tradition that prevails in, or is combined with common law in, Europe and most non-Islamic, non-common law countries ), courts lack authority to act where there is no statute, and judicial precedent is given less interpretive weight ( which means that a judge deciding a given case has more freedom to interpret the text of a statute independently, and less predictably ), and scholarly literature is given more.

By means of her mother, Catherine had a stronger legitimate claim to the English throne than King Henry VII himself through the first two wives of John of Gaunt, 1st Duke of Lancaster: Blanche of Lancaster and the Spanish Infanta Constance of Castile.

By no means ... there is a necessary connexion to be taken into consideration.

By means of the atonement and his offering of divine grace to humankind, Christ provided access to divinity for humankind.

By the time DDT was introduced in the U. S., the disease had already been brought under control by a variety of other means.

" By this Derrida means that all claims to know something necessarily involve an assertion of the metaphysical type that something is the case somewhere.

By many, education is understood to be a means of overcoming handicaps, achieving greater equality and acquiring wealth and status for all ( Sargent 1994 ).

By this means, power dissipation in the active device is minimised, and efficiency increased.

By mathematical arguments, the maximum must lie between the two minima.

By studying categories and functors, we are not just studying a class of mathematical structures and the morphisms between them ; we are studying the relationships between various classes of mathematical structures.

* By adding bits to each encoded unit, the redundancy allows both to detect errors in coded data and to correct them based on mathematical algorithms.

* By adding bits to each encoded unit, the redundancy allows both to detect errors in coded data and to correct them based on mathematical algorithms.

By simply rewriting the mathematical expression one can save 50 % of the multiplications required.

By 1901, Peano was at the peak of his mathematical career.

By mathematical analogy: A metasyntactic variable is a word that is a variable for other words, just as in algebra letters are used as variables for numbers.

By revealing ( in modern terms ) that numbers could be irrational, this discovery seems to have provoked the first foundational crisis in mathematical history ; its proof or its divulgation are sometimes credited to Hippasus, who was expelled or split from the Pythagorean sect.

By the principle of mathematical induction it follows that the result is true for all natural numbers.

By 1928, Gamow had solved the theory of the alpha decay of a nucleus via tunnelling, with mathematical help from Nikolai Kochin.

By the time of the Surrealist Exhibition of Objects in 1936 a whole range of sub-classifications had been devised — including found objects, readymade objects, perturbed objects, mathematical objects, natural objects, interpreted natural objects, incorporated natural objects, Oceanic objects, American objects and Surrealist objects.

By using counterexamples to show that certain conjectures are false, mathematical researchers avoid going down blind alleys and learn how to modify conjectures to produce provable theorems.

By this Polykleitos meant that a statue should be composed of clearly definable parts, all related to one another through a system of ideal mathematical proportions and balance, no doubt expressed in terms of the ratios established by Pythagoras for the perfect intervals of the musical scale: 1: 2 ( octave ), 2: 3 ( harmonic fifth ), and 3: 4 ( harmonic fourth ).

By the 13th century, Hindu-Arabic numerals were accepted in European mathematical circles ( Fibonacci used them in his Liber Abaci ).

By this change, it will gain in utility, interest and real truth far more than a full compensation for the forfeiture of a fictitious title to mathematical exactness and certainty.

By using eccentrics and epicycles, his geometrical model achieved greater mathematical detail and predictive accuracy than had been exhibited by earlier concentric spherical models of the cosmos.

By assigning " energy values " to the various psychological components of information metabolism, Augustinavičiūtė created a mathematical theory of thinking.

By making simultaneous measurements at the two different frequencies, the resulting data enabled theoretical physicists to verify the mathematical predictions of Albert Einstein's General Theory of Relativity.

By calculating the area of the peak using the mathematical function of integration, the concentration of an analyte in the original sample can be determined.

By staying away from complete mathematical rigor while emphasizing the physical and engineering interpretations of probability, Papoulis's book gained wide popularity.

By the early 1990s, when Second Edition versions of Numerical Recipes ( with code in C, Fortran-77, and Fortran-90 ) were published, it was clear that the constituency for Numerical Recipes was by no means the majority of scientists doing computation, but only that slice that lived between the more mathematical numerical analysts and the larger community using integrated environments.

: Proof: By mathematical induction.

By undermining the traditional role of art and artist, its humor is reflective of a goal to bring life back into art, which Maciunas states in his agenda, “ If man could experience the world, the concrete world surrounding him ( from mathematical ideas to physical matter ) in the same way he experiences art, there would be no need for art, artists and similar ‘ nonproductive ’ elements ”.