intermediate value theorem

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intermediate value theorem

[‚in·tər′mēd·ē·ət ¦val·yü ′thir·əm]
(mathematics)
If ƒ(x) is a continuous real-valued function on the closed interval from a to b, then, for any y between the least upper bound and the greatest lower bound of the values of ƒ, there is an x between a and b with ƒ(x) = y.
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This equation was also the only one in which Sandy subtracted from an intermediate value, specifically, -12, that was already negative to create an intermediate value, namely, -14, that was even "more negative" than before.
For instance, if x and y are permissible probabilities for some proposition, p, so is any intermediate value: if x end y are both sums one is willing to pay for a gamble on p's truth, so is any value in the interval (x,y).
Hewlett-Packard confirmed [6] my conjecture that an intermediate value in generating [X.sub.i]--not the output value--is the default implied seed for [X.sub.i+1].
If such a body was heated, radiation would therefore emerge from the hole at all wavelengths, with very little at the extremes and with a peak at some intermediate value. The higher the temperature, the shorter the wavelength of the peak value.
Let [l.sub.[omega]] be the value of leakage measurements corresponding to the intermediate value [omega], [omega] [member of] [F.sup.n.sub.2].
Since g is continuous, the intermediate value theorem guarantees that there exist c [member of] [a, b] such that
where [[theta].sub.i] and [x.sub.i] are intermediate values between [U.sub.i] and [U.sub.i+1], [[eta].sub.i] is an intermediate value between [U.sub.i] and [U.sub.i-1].
However, if the cell X has any intermediate value between 100 and 200 [micro]v lower than that of N, it is possible to adjust a current [I.sub.3], flowing through the section 17-18, so that the auxiliary drop of potential thereby introduced restores the condition of balance.
If the attacker can get the relationship between the power consumption and the intermediate value of cryptographic algorithms, the secret key can be recovered easily.
Contract award: Term Maintenance, Small Works and Minor & Intermediate Value Projects.
'There is an intermediate value addition step between grinding and roasting which would require the precision of the definition,' the executive added.
Nelson might never again be the downfield demon he was en route to ranking fifth in franchise history in receiving yards, but after finishing second all time in receiving touchdowns in green and gold, he figures to have plenty of red zone and intermediate value to appeal to a WR-needy contender.
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