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Page "Transcendental number" ¶ 14
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For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
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For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;
For example, No. 56 printed the patent giving the Electoral Prince the title of Duke of Cambridge.
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For example, for the problem Af, 10 from 25 equals 15, then 6 from 15 equals 9.
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For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.
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For and π
For example, the " Little Dipper " asterism of the constellation Ursa Minor has ten stars with Bayer designation, α UMi to π UMi.
For path-connected spaces, therefore, we can write π < sub > 1 </ sub >( X ) instead of π < sub > 1 </ sub >( X, x < sub > 0 </ sub >) without ambiguity whenever we care about the isomorphism class only.
An alternative representation uses degrees and minutes, where parts of a minute are expressed in decimal notation with a fraction, thus: 23 ° 27. 500 ′ E. Degrees may also be expressed as a decimal fraction: 23. 45833 ° E. For calculations, the angular measure may be converted to radians, so longitude may also be expressed in this manner as a signed fraction of π ( pi ), or an unsigned fraction of 2π.
For a bonding MO with π-symmetry the orbital can be labeled π < sub > u </ sub > because inversion through the center of symmetry for Figure 5 ( c ) would produce a sign change.
For example, π ( 10 ) = 4 because there are four prime numbers ( 2, 3, 5 and 7 ) less than or equal to 10.
For example the statement " π is only half a pie.
For example, from knowing that π is transcendental, we can immediately deduce that numbers such as 5π, ( π 3 )/√ 2, (√ π √ 3 )< sup > 8 </ sup > and ( π < sup > 5 </ sup > + 7 )< sup > 1 / 7 </ sup > are transcendental as well.
For example, the figure shows sin θ for angles θ, π θ, π + θ, and θ depicted on the unit circle ( top ) and as a graph ( bottom ).
For example, in the Hilbert space L < sup > 2 </ sup >( 0, π ), the sequence of functions
For instance, when θ is restricted to π / 2 then sin ( θ ) is in this interval and arcsine is defined there.
For a half-wave plate, the relationship between L, Δn, and λ < sub > 0 </ sub > is chosen so that the phase shift between polarization components is Γ = π.
For a quarter-wave plate, the relationship between L, Δn, and λ < sub > 0 </ sub > is chosen so that the phase shift between polarization components is Γ = π / 2.
For the bond in the molecule to be stable, the covalent bonding electrons occupy the lower energy bonding orbital, which may be signified by such symbols as σ or π depending on the situation.
For example: though the angle of π / 3 radians ( 60 °) cannot be trisected, the angle 2π / 5 radians ( 72 °
For a long cylinder far from other surfaces, this reduces the effective area by a factor of π / 2
* For Ω > 1 ( the sphere, see diagram ) the ratio falls below π: indeed, a great circle on a sphere has circumference only twice its diameter.

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