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Page "Gibbs sampling" ¶ 43
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Note and same
Note that this is not the same as a monophyly in which all descendants of a common ancestor are included.
Note that the 64x16 TRS-80 mode screen uses only a small part of the monitor screen, because the letters are the same size as the 80 × 25 CP / M screen, this was one of the things that was soon after fixed with the redesign to a commercial product
Note that the constituency boundaries do not align exactly with those of the district of the same name.
Note however, that the allemandes, that occur in these suites do not correspond to a French dance from the same period.
Note that although the carbonate salts of most metals are insoluble in water, the same is not true of the bicarbonate salts.
Note the position of the hydroxyl group ( red or green ) on the anomeric carbon relative to the CH < sub > 2 </ sub > OH group bound to carbon 5: they are either on the opposite sides ( α ), or the same side ( β ).
) Note that the same set of points would not have, as an accumulation point, any point of the open unit interval ; hence that space cannot be compact.
Note, however, that currying, while similar, is not the same operation as partial function application.
Note that pure application of this method may provide only a partial ordering on the strings, since different strings can represent the same number ( as with " 2 " and " 2. 0 ", or when scientific notation is used, " 2e3 " and " 2000 ").
Note the changes in subpixel intensity that are used to increase effective resolution when ClearType is enabled — without ClearType, all sub-pixels of a given pixel have the same intensity.
Note: In Hebrew, P and F are allophones of the same phoneme ( historically, pol is rendered fol-when following a vowel sound ).
* English fruit, and Hebrew perot ( פ ֵּ רו ֹ ת ) Note: In Hebrew, P and F are allophones of the same phoneme ( historically, perot is rendered ferot-when following a vowel sound ).
Note: In Hebrew, B and V are allophones of the same phoneme ( historically, ba is rendered va-when following a vowel sound ).
Note that not all worlds have the same objects: some objects exist in some worlds and not in others.
Note that a grid network is not the same as a grid computer ( or computational grid ) ( even though the nodes in a grid network are usually computers, and grid computing obviously requires some kind of computer network to interconnect the computers ).
Methods PUT and DELETE are defined to be idempotent, meaning that multiple identical requests should have the same effect as a single request ( Note that idempotence refers to the state of the system after the request has completed, so while the action the server takes ( e. g. deleting a record ) or the response code it returns may be different on subsequent requests, the system state will be the same every time ).
Note that ' prince ' derives from Latin princeps, which carried the same meaning.
Note that if n < sub > 1 </ sub > and n < sub > 2 </ sub > are the same, the antisymmetric expression gives zero, which cannot be a state vector as it cannot be normalized.
Note that the probability of finding particles in the same state is relatively larger than in the distinguishable case.
Note that the two-sample test checks whether the two data samples come from the same distribution.
Note that here, the same value of γ remains unchanged.
Note that the internal chronology is not exactly the same as the order in which the books were written.
Note: is same as
Note that in this model, the two fission fragments are the same size.

Note and rule
Alice now discards three of her own cards, and replaces them with three from the top of the deck ( Note: in a player-dealt casino game there is often a rule that the dealer must discard before picking up the deck, but this is a home game so we won't worry about such details ).
Note that reading properly exposed hands of other players at showdown is not a violation of this rule, since no further decisions can be made.
Note than some species of small bats have a higher mean total morphometnc pulmonary diffusing capacity for oxygen than equivalent weight birds but this is the exception and is not the rule.
Note that any present day null constraint on the time variation of alpha does not necessarily rule out time variation in the past.
Note that Bayes ' rule can also be written as follows:
Note that in cases of joint possession, the above rule does not distinguish between a situation in which only one or more jointly possessed items perform a grammatical role and a situation in which both one or more such items and a non-possessing entity independently perform that role.
Note also that this rule assumes that the host which is acting as the firewall will not be sending email itself, such as to the email server.
Note that the chain rule assumes the existence of total derivative of the inside function H, while
Note that the rule of thirds makes no allowance for the increased air consumption that the stress caused by the loss of an air system will induce.
Note that the rule of thirds was devised as an approach to diving Florida's caves-they typically have high outflow currents, which help to reduce air consumption when exiting.
Note, however, that rule utilitarians do not have to accept this, and can say that pushing the fat man over the bridge violates a rule to which adherence is necessary for bringing about the greatest happiness for the greatest number.
Note that the last rule can be restated recursively to avoid the ellipses:
Note that Rule4 above is a semantic rule.
( Note: There is now a section of the rule that states that the game pitcher may only pinch-hit for the designated hitter ; therefore, this move would have been allowed then, but now it would be prohibited.
( Note: Due to the loophole of which Earl Weaver took advantage, there was a rule change shortly thereafter that states the DH must come to bat at least once, unless the opposing team changes pitchers.
where f < nowiki >'</ nowiki > and g < nowiki >'</ nowiki > are the derivatives of f and g. ( Note that this rule does not apply to forms like ∞/ 0, 1 / 0, and so on ; but these forms are not indeterminate either.
Note: The kings ranking does not change when this rule is applied.
Note that the same rule may appear several times in the conflict set if it matches different subsets of data items.
Note that Bergmann's rule describes a tendency of body mass variation within groups ; it does not suggest that large-bodied animals do not occur in warm climates.
Note that the goals always match the affirmed versions of the consequents of implications ( and not the negated versions as in modus tollens ) and even then, their antecedents are then considered as the new goals ( and not the conclusions as in affirming the consequent ) which ultimately must match known facts ( usually defined as consequents whose antecedents are always true ); thus, the inference rule which is used is modus ponens.
Note that this change of grammatical gender is not considered to be changing the name received from a woman's father or husband ( compare the equivalent rule in Czech or Polish ).
Note in particular that ω fails to transform in a tensorial manner, since the rule for passing from one frame to another involves the derivatives of the transition matrix g.
( Note: There are exceptions to the above but what is listed is the general rule.

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