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Any genus zero handlebody is homeomorphic to the three-ball B < sup > 3 </ sup >.
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Any and genus
Any definition that attempts to set out the essence of something, such as that by genus and differentia, is an intensional definition.
Any family-group name must have a type genus, any genus-group name must have a type species, and any species-group name can ( not must ) have one or more type specimens ( holotype, lectotype, neotype, syntypes or others ), usually deposited in a museum collection.
Note that for orientable compact surfaces without boundary, the Euler characteristic equals, where is the genus of the surface: Any orientable compact surface without boundary is topologically equivalent to a sphere with some handles attached, and counts the number of handles.
* Any person who cultivates any plant of the genus cannabis or opium poppy, shall be liable upon conviction to a fine of HK $ 100, 000 and imprisonment for 15 years.
* Any member of the genus Boulengerina, the water cobras, a group of venomous elapids found in Africa
* Any member of the genus Aspidelaps, the shield-nose cobras or coral snakes, a group of venomous elapids found in Africa
Any such surface is the Kummer variety of the Jacobian of a smooth hyperelliptic curve of genus 2 ; i. e. a quotient of the Jacobian by the Kummer involution x ↦ − x.
* Any member of the genus Gloydius, also known as Asian moccasins, a group of venomous pit vipers found in Asia
* Any member of the genus Agkistrodon, a group of venomous pit vipers found in North and Central America
Any such field is either equal to K or is also rational, i. e. L = K ( F ) for some rational function F. In geometrical terms this states that a non-constant rational map from the projective line to a curve C can only occur when C also has genus 0.
Any and zero
The blitter's block copying mode takes zero to three data sources in memory, called A, B and C, performs a programmable boolean function on the data sources and writes the result to a destination area, D. Any of these four areas can overlap.
Any chemical species that is regenerated, such as a catalyst, also has a stoichiometric coefficient of zero.
# Any pure element ( even if it forms diatomic molecules like chlorine, Cl < sub > 2 </ sub >) has an oxidation state ( OS ) of zero.
Any perfect conductor will prevent any change to magnetic flux passing through its surface due to ordinary electromagnetic induction at zero resistance.
Any polynomial can be easily expressed as a power series around any center c, albeit one with most coefficients equal to zero.
Any fixed time can be used in place of the present ( e. g., the end of one interval of an annuity ); the value obtained is zero if and only if the NPV is zero.
Any non-zero change of direction is possible: if this distance is zero the velocities are reversed in the collision ; if it is close to the sum of the radii of the spheres the two bodies are only slightly deflected.
Any number system that forms a commutative ring — for instance, the integers, the real numbers, and the complex numbers — can be extended to a wheel in which division by zero is always possible ; however, in such a case, " division " has a slightly different meaning.
Any term p < sub > k </ sub > X < sup > k </ sup > with zero coefficient, p < sub > k </ sub > = 0, may be omitted.
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 abelian group can be turned into a zero ring by defining the product of any two elements to be 0.
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