For highly restricted instances with exactly four occurrences of every variable we provide a lower bound of 32.
In other words, each instance (a,b,c) of X corresponds with exactly one instance a/(b+1) of Z1, while an instance of Z1 may correspond with multiple instances of X. Naturally, the probability of a particular value of Z1 can be determined by summing the probabilities of all (multinomial) vectors that are associated with this value.
For instance, does your doorbell ring with exactly the same number of fingers on the bell as his last lover?
For instance, the number of partitions of 15 elements with exactly six nonempty subsets is S 15 ( 6 ) = 420, 693, 273.
Hurley's evidence suggests that often two instances of exactly the same change in consciousness go with very different changes in the brain.
For instance, where exactly the two opposite signals meet with each other, where they "fight" and TGFβ's anti-motility effect wins over PDGF-bb's pro-motility effect, is the next important question for investigation.
Here are 15 recorded instances of exactly that.
Analysis Trump says 'nobody disobeys my orders.' Here are 15 recorded instances of exactly that.
Also, technology that allows people to share information with exactly the co-workers they want to — eliminating the endless CC'ed email chains, for instance — builds confidence in virtual communications.
Deletions which were filled with exactly the same word as was in the original passage were coded as instances of 'exact replacement'.
All the sequences have verbal, visual or aural references to the time, with shots of watches and clocks, and chiming bells for instance, corresponding exactly to the viewer's real time.
