Note that the validity of a conditional proof does not require that the CPA is actually true, only that if it is true it leads to the consequent.

Note that most of these verses do not distinguish between the conditional election ( Arminian ) and unconditional election ( Calvinist ), but are simply evidence of some type of election.

Note that is simply the name of the conditional expectation function.

Note that neither value if true nor value if false expressions can be omitted from the conditional operator without an error report upon parsing.

Note that this is a conditional probability, hence the in the denominator.

Note that the assumption of a joint probability distribution allows us to model uncertainty in predictions ( e. g. from noise in data ) because is not a deterministic function of, but rather a random variable with conditional distribution for a fixed.

Note that in the " historical " tenses ( the imperfect, preterite, and conditional ), a consonant-initial stem undergoes lenition, while a vowel-initial stem is prefixed by d ’.

( Note that in the metalanguage, " everything that is such that X is such that Y " is interpreted as a universal generalization of the material conditional " if anything is such that X then it is such that Y ".

* Note in Columbia Law Review distinguishing conditional preemption vs. commandeering

( Note that for a discrete distribution the sample skewness may be undefined ( 0 / 0 ), so its expected value will be undefined.

( Note: each of the scientists shown was working on something which still has not been solved to date, even though each one expected solid results in only a few years.

Note that the MSE is not equivalent to the expected value of the absolute error.

Note that is the risk-free rate, not the expected return on the underlying.

Note: Some of these are not aircraft prototypes but technology demonstrators ( TD ) that are not expected to enter service.

( Note that string types used in the last case do not, by themselves, lend themselves to the programmer naturally assuming concatenation, rather than addition, is meant ; consider " 123 " + " 456 ", which might reasonably be expected to yield " 579 ".

Note, however, that decreased temporal correlation between activity in STS and V3 would be expected simply from the lack of an evoked response in STS to intent-laden animations in subjects with autism ; a more informative analysis would be to compute functional connectivity after regressing out evoked responses from all time series.

Note that a marginal probability can always be written as an expected value:

( Note, however, that if a distribution is multimodal, the expected value may not return a meaningful point, and any of the modes is typically a better choice.

Note that this is an unobservable quantity since no one knows for sure what the expected rate of return on equities is.

Note that there is no reliable estimate of divergence time, as Otus and Megascops are osteologically very similar, as is to be expected from a group that has apparently conserved its ecomorphology since before its evolutionary radiation.

Note that under " true arbitrage ", the investor locks-in a guaranteed payoff, whereas under APT arbitrage, the investor locks-in a positive expected payoff.

An easy estimation of the real interest rate is the nominal interest rate minus the expected inflation rate ( Note that this estimate is unwise when looking at compounded savings.

Note that the proof is clearly only valid for simple cyclic quadrilaterals ; if the quadrilateral is complex then K will be located outside the line segment AC, so AK − CK =± AC, giving the expected result.

Note that this is not the same as expected losses, which are covered by provisions, reserves and current year profits.

( Note relatively high December, January and February expected monthly low temperatures in Bordeaux France relative to the North American sites, and that the very continental Fairmont, MN, also stands out as having more extreme temperatures.

Note that this would not likely have been permitted in the original, for ( as McFarlane writes in " Ghost of the Hardy Boys " ) Stratemeyer expected the girls to make only occasional appearances and to have relationships with the boys that " would not go beyond the borders of wholesome friendship and discreet mutual esteem.

Note that we need not know the value of p, for the experiment to be binomial.

Treasury Notes are generally considered to be inherently less risky than real estate, since the value of the Note is guaranteed by the US Government and there is a liquid market for the purchase and sale of T-Notes.

Note though that the value is infinite, for any.

Note that this criterion only requires the value to be uniformly distributed, not random in any sense.

Note that the maximum value of the angular momentum quantum number is limited by the principal quantum number: it can run only up to n − 1, i. e..

Note: if the product resulting from the labor process is homogeneous ( all similar in quality and traits, for example, all cups of coffee ) then the value of the period ’ s product can be divided by the total number of items ( use-values ) produced to derive the unit value of each item.

Note that here, the same value of γ remains unchanged.

Note that a common misconception is that LDAP data is case-insensitive, whereas in fact matching rules and ordering rules determine matching, comparisons, and relative value relationships.

Note that the vertical scale, the number of digits, is a double logarithmic scale of the value of the prime.

Note that with ( A0 )+ and -( A0 ), the actual increment or decrement value is dependent on the operand size: a byte access increments the address register by 1, a word by 2, and a long by 4.

Note however that Kierkegaard's meaning of " nihilism " differs from the modern definition in the sense that, for Kierkegaard, levelling led to a life lacking meaning, purpose or value, whereas the modern interpretation of nihilism posits that there was never any meaning, purpose or value to begin with.

Note that if N is itself prime, i. e., there is no such prime F ≠ N, then some event will prevent the execution of step 3 that receives the value F from the future.

The Preliminary Note of Explanation did not in fact alter the value of the statement on collegiality in the text of Lumen Gentium: it " strengthened the adherence to the doctrine of the First Vatican Council on the primacy, but it did not subsequently strike out anything from the direct divine origin of the episcopal office and its function, and the responsibility of the College of Bishops for the Universal Church.

** Note: The sum of the individual digits is usually compared with a previously computed value.

Note that opportunity cost is not the sum of the available alternatives when those alternatives are, in turn, mutually exclusive to each other – it is the value of the next best use.

* Note value ( music )

Note also that while bytecodes are nominally machine-independent, the format and value of the pointers in threads generally depend on the target machine which is executing the interpreter.

Note that " mu " is standard fuzzy-logic nomenclature for " truth value ":

Note that what affects the value of for different values of is only the factors and, which both appear in the numerator, and hence the posterior probability is proportional to both.

Note that knowing that alters the variance, though the new variance does not depend on the specific value of a ; perhaps more surprisingly, the mean is shifted by ; compare this with the situation of not knowing the value of a, in which case x < sub > 1 </ sub > would have distribution

Note that if a < sub > 2 </ sub > were non-zero there would be no way to cancel the M value — therefore a < sub > 2 </ sub > must be zero.