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Page "Principal ideal domain" ¶ 21
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# and Every
# Every adiabat asymptotically approaches both the V axis and the P axis ( just like isotherms ).
# Every net on X has a convergent subnet ( see the article on nets for a proof ).
# Every filter on X has a convergent refinement.
# Every ultrafilter on X converges to at least one point.
# Every infinite subset of X has a complete accumulation point.
# Every open cover of A has a finite subcover.
# Every sequence in A has a convergent subsequence, whose limit lies in A.
# Every infinite subset of A has at least one limit point in A.
# Every finite and contingent being has a cause.
# Every type of state is a powerful institution of the ruling class ; the state is an instrument which one class uses to secure its rule and enforce its preferred production relations ( and its exploitation ) onto society.
# " Personality " Argument: this argument is based on a quote from Hegel: " Every man has the right to turn his will upon a thing or make the thing an object of his will, that is to say, to set aside the mere thing and recreate it as his own ".
# Moral law of karma: Every action ( by way of body, speech, and mind ) will have karmic results ( a. k. a. reaction ).
# Every prime ideal of A is principal.
# Every finitely generated ideal of A is principal ( i. e., A is a Bézout domain ) and A satisfies the ascending chain condition on principal ideals.
# Every possible answer takes the same amount of time to check, and
Good Trouble ( 1982 ) and Wheels Are Turnin ' ( 1984 ) were follow-up albums which also did well commercially, the former containing the hit singles " Keep the Fire Burnin '" ( U. S. # 7 ), " Sweet Time " ( U. S. # 26 ) and the un-ranked " The Key " and the latter containing the # 1 hit single " Can't Fight This Feeling " plus three more hits: " I Do ' Wanna Know " ( U. S. # 29 ), " One Lonely Night " ( U. S. # 19 ), " Live Every Moment " ( U. S. # 34 ) and the un-ranked " Break His Spell ".
# Every simple path from a given node to any of its descendant leaves contains the same number of black nodes.
# Every good work of software starts by scratching a developer's personal itch.
# Every noun belongs to a unique number class.

# and principal
In 1937, in debt to printing-plant owner and magazine distributor Harry Donenfeld — who also published pulp magazines and operated as a principal in the magazine distributorship Independent News — Wheeler-Nicholson was compelled to take Donenfeld on as a partner in order to publish Detective Comics # 1.
# The principal – agent problem: an investor ( the principal ) who allocates money to a portfolio manager ( the agent ) must properly give incentives to the manager to run the portfolio in accordance with the investor's risk / return appetite, and must monitor the manager's performance.
# All principal ideal domains are integrally closed.
# Multiple heating events, with the principal event post-dating trap formation ; and
# its principal or primary effect neither advances nor inhibits religion ; and
# Its leading principal minors are all positive.
This is similar ( but more categorical ) to concepts in group theory or module theory, where a given decomposition of an object into a direct sum is " not natural ", or rather " not unique ", as automorphisms exist that do not preserve the direct sum decomposition – see Structure theorem for finitely generated modules over a principal ideal domain # Uniqueness for example.
# The principal objections to the question
# Layer III, the External Pyramidal layer, contains predominantly small and medium-size pyramidal neurons, as well as non-pyramidal neurons with vertically oriented intracortical axons ; layers I through III are the main target of interhemispheric corticocortical afferents, and layer III is the principal source of corticocortical efferents.
# Layer V, the Internal Pyramidal layer, contains large pyramidal neurons ( such as the Betz cells in the primary motor cortex ); it is the principal source of subcortical efferents, as such, there are large pyramidal cells which give rise to axons leaving the cortex and running down through the basal ganglia, the brain stem and the spinal cord.
Later robot designs by his principal designer Robert Kinoshita, such as Robot B-9 of Lost in Space, moved smoothly on motorized treads ( Robby appears opposite Robot B-9 in Lost in Space episode # 20 " War of the Robots ".
# There are established as principal organs of the United Nations: a General Assembly, a Security Council, an Economic and Social Council, a Trusteeship Council, an International Court of Justice and a Secretariat.
In addition to her game show appearances, Wallace was seen on television as a school principal in two episodes of ALF, played " Mrs. Caruthers " in a few episodes of Full House, and appeared in episode # 227 of Bewitched (" Laugh, Clown, Laugh ") as Darrin's secretary in 1971.
# Daniel Mathias M. Bare ( 1834 – 1925 ), in various partnerships later shared with most of his sons-in-law, was the principal figure behind Roaring Spring's growth as a paper-mill town.
# Cuba would agree to sell or lease to the United States sites for naval or coaling stations became the principal base.
# The principal rules of the Method which the Author has discovered
In Astonishing X-Men # 48, Gambit became one of the principal members of a new team of X-Men, composed of Wolverine, Iceman, Northstar, Karma, Cecilia Reyes and Warbird.
# Morphine, the principal and most widely known and widely produced opiate of the day — at the time called morphium -- has at its etymology " dream-inducer ".
From the low pitch to the highest, the principal tuning is in C Major: G, C, E. However, today many treseros are playing a step up A, D, F # or D Major.
# Choose the principal components.

# and ideal
# While ideal gas molecules do not interact, we consider molecules attracting others within a distance of several molecules ' radii.
# Inertial reference systems, where the coordinate axes retain their orientation relative to the fixed stars, or equivalently, to the rotation axes of ideal gyroscopes ; the axis points to the vernal equinox
AA # 9, however, will fill the case much better, and the slow burn rate of AA # 9 is ideal for magnum handgun rounds, producing 20 % higher velocities ( at maximum levels ) while still producing less pressure than the fast burning AA # 2.
# If n = 2k + 1, then the action of the unit vector u on the left ideal decomposes the space into a pair of isomorphic irreducible eigenspaces ( both denoted by Δ ), corresponding to the respective eigenvalues + 1 and − 1.
# Harmonic distortion: defined as a departure from the ideal sinusoidal waveform expected on the line.
# It is an ideal emitter: it emits as much or more energy at every frequency than any other body at the same temperature.
# REDIRECT ideal ( ring theory )
# redirect Boolean prime ideal theorem
# REDIRECT ideal ( ring theory )
# Methods: the most appropriate ways to achieve the ideal arrangement.
# In the Aeneid by Virgil, Nisus and Euryalus are ideal friends and lovers, who died during a raid on the Rutulians.
# those who, like Plato, distinguished ideal and mathematical numbers ;
# those who, like Xenocrates, identified ideal numbers with mathematical numbers
# SGI, based on the ideal of world citizenship, shall safeguard fundamental human rights and not discriminate against any individual on any grounds.
# SGI shall promote, based on the Buddhist ideal of symbiosis, the protection of nature and the environment.
# The ideal Social-Democratic welfare state is based on the principle of universalism granting access to benefits and services based on citizenship.
# Determine the target market's preferred combination of attributes ( referred to as an ideal vector )
# The radical of the ideal 4Z of integer multiples of 4 is 2Z.

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