Axiom 2: Any property entailed by — i. e., strictly implied by — a positive property is positive

Any poles on the imaginary axis have real strictly positive residues, and similarly at any zeros on the imaginary axis, the function has a real strictly positive derivative.

Any positive divisor of is a product of prime divisors of raised to some power.

Any invertible matrix can be uniquely represented according to the polar decomposition as the product of a unitary matrix and a hermitian matrix with positive eigenvalues.

Any gas discharge lamp has a positive ( anode ) and a negative electrode.

for some p between 1 and n. Any two such expressions of q ( at the same point m of M ) will have the same number p of positive signs.

Any system where there is positive feedback together with a gain greater than one will result in a runaway situation.

Any fluctuations in food supply ( either positive, for example, due to technology improvements, or negative, due to droughts and pest invasions ) tend to translate directly into population fluctuations.

The theory, Any press is good press, has been coined to describe situations where bad behaviour by people involved with an organization or brand has actually resulted in positive results, due to the fame and press coverage accrued by such events.

Any positive immunological effect is thought to be the result of melatonin acting on high affinity receptors ( MT1 and MT2 ) expressed in immunocompetent cells.

* Any positive integer is a chain of length 1.

Any positive test result should be confirmed by a lab using the western blot.

Any hope towards positive relations with Russia ended in the late 18th and early 19th centuries when tensions with the Cossacks escalated and Russia began trying to conquer the Caucasus, starting with Georgia.

On 8 July 2011 on BBC Radio 4's Any Questions, at the height of the furore surrounding the alleged illegal and corrupt activities of News of the World journalists, Parris eulogised the newspaper and gave an enthusiastic appreciation of what he considered the virtues and positive achievements of Rupert Murdoch.

* Any open manifold admits a ( non-complete ) Riemannian metric of positive ( or negative ) curvature.

Any positive rational number can be written as the sum of unit fractions, in multiple ways.

Any positive integer n has 2 < sup > n − 1 </ sup > distinct compositions.

Any element y ∈ Y := Ran ( S − I ) has a distance larger than or equal to 1 from u ( otherwise y < sub > i </ sub > = x < sub > i + 1 </ sub >-x < sub > i </ sub > would be positive and bounded away from zero, whence x < sub > i </ sub > could not be bounded ).

Any skew semistandard tableau of shape / with positive integer entries gives rise to a sequence of partitions ( or Young diagrams ), by starting with, and taking for the partition places further in the sequence the one whose diagram is obtained from that of by adding all the boxes that contain a value ≤ in ; this partition eventually becomes equal to.

Any voltage is a difference in electric potential between two points-for example, the separation of positive and negative electric charges on opposite sides of a resistive barrier.

Any open flame or electric sparks, including lit tobacco products like cigarettes, cigars or pipes, in the area also present a danger of ignition of any hydrogen gas emanating from a battery ( this is the reason, when recharging the battery in place in the vehicle or jump starting, that the negative cable of the recharger or attached to the other vehicle's jumping battery negative post is always attached away from the battery to ground on the engine or frame, and is always attached to complete the circuit only after the positive cable has been attached to the battery's positive terminal ( and is removed in the reverse order, i. e., negative cable first from the frame or engine, breaking the circuit, then positive cable from the battery )-in this fashion, any sparks which may occur will occur at the more distant location of the negative cable attachment point, away from the battery and potentially explosive gases, and no sparks will occur, as the circuit is no longer complete, when the positive cable is attached or detached from the battery ).

Any type of focal lesion of the central nervous system ( such as stroke, brain tumour, multiple sclerosis ) will cause the type of ataxia corresponding to the site of the lesion: cerebellar if in the cerebellum, sensory if in the dorsal spinal cord ( and rarely in the thalamus or parietal lobe ), vestibular if in the vestibular system ( including the vestibular areas of the cerebral cortex ).

Any player is usually allowed to control or bet in as many boxes as desired at a single table, but it is prohibited for an individual to play on more than one table at a time or to place multiple bets within a single box.

Any disrespect of a gang member's color by an unaffiliated individual is regarded as grounds for violent retaliation, often by multiple members of the offended gang.

Any host ( machine or virtual machine ) may have multiple Ingres installations on it, but each installation must use unique identifiers to ensure that its clients and components communicate with the correct installation.

Any electrical network can be analysed as multiple, interconnected electrical elements in a schematic diagram or circuit diagram, each of which affects the voltage in the network or current through the network.

Any Nv network greater than or equal to four, but specifically any multiple numeric prefixed cores ( such as a Quadcore, Quincore, Hexcore, Septcore, Octacore, etc.

Any of the 16 registers could be used as a stack pointer for the SJS and URS instructions ( stack jump subroutine and unstack return subroutine ), but only register 15 was used as the stack pointer for the PSHM and POPM instructions ( push multiple and pop multiple ).

Any statistical analysis involving multiple hypotheses is subject to inflation of the type I error rate if appropriate measures are not taken.

* NAUI defines technical diving as " Any diving beyond the limits of the defined recreational diving limits which is currently set at the following-diving to 40 meters / 130 feet, use of nitrox above 36 %, multiple mix gas diving, penetration diving past the daylight zone and any form of decompression diving ).

Any of multiple technical difficulties, while not endangering the patient ( indeed added to protect the patient's interests ) can significantly increase the examination time.

Any and all conflicts that might arise affecting the franking of mails serviced by multiple administrations which result from differences in these various postal regulations and / or practices are mediated by the UPU, a specialized agency of the United Nations which sets the rules and technical standards for international mail exchanges.

Any continuous valuation v on K < sup > n </ sup > that is invariant under rigid motions and homogeneous of degree j is a multiple of W < sub > n-j </ sub >.

The New York State legislature defined it in the Tenement House Act of 1867 in terms of rental occupancy by multiple households, as Any house, building, or portion thereof, which is rented, leased, let, or hired out to be occupied or is occupied, as the home or residence of more than three families living independently of one another and doing their own cooking upon the premises, or by more than two families upon a floor, so living and cooking and having a common right in the halls, stairways, yards, water-closets, or privies, or some of them.

Any single perceptual modality may include or overlap multiple sensory structures, as well as other modes of perception, and the sum of their relations and the ratio of mixture and importance comprise a sensorium.

Any given motif may appear in multiple supernaturals.

Any number of segments may meet at a point and thus there may be multiple paths to ground.

Any multiple of 600 mm can be evenly divided into 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, etc.

Any two configurations of two lines are easily seen to be isotopic, and configurations of the same number of lines in dimensions higher than three are always isotopic, but there exist multiple non-isotopic configurations of three or more lines in three dimensions.

* " Don't Get Married Any More, Ma " ( 1906, 1907 ; multiple recordings )

* Any repunit in any base having a composite number of digits is necessarily composite.

( Any repunit prime is unique.

Any repunit prime is a permutable prime with the above definition, but some definitions require at least two distinct digits.