If one eigenvalue is negative ( i. e., an imaginary frequency ), then the stationary point is a transition structure.

If measured instead per unit wavelength, using Wien's law, the peak is at 1. 06 mm corresponding to a frequency of 283 GHz.

If frequency-hopping is avoided, each base station can provide up to 120 channels in the DECT spectrum before frequency reuse.

If the two input signals are both sinusoids of specified frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub >, then the output of the mixer will contain two new sinsoids that have the sum f < sub > 1 </ sub > + f < sub > 2 </ sub > frequency and the difference frequency absolute value | f < sub > 1 </ sub >-f < sub > 2 </ sub >|.

If the two signals are close together in frequency the heterodyne is low enough to be measured by a frequency counter.

If the baseband data signal ( the message ) to be transmitted is and the sinusoidal carrier is, where f < sub > c </ sub > is the carrier's base frequency and A < sub > c </ sub > is the carrier's amplitude, the modulator combines the carrier with the baseband data signal to get the transmitted signal:

If the wavepacket has a relatively large frequency spread, or if the dispersion has sharp variations ( such as due to a resonance ), or if the packet travels over very long distances, this assumption is not valid.

If the length of the intervals on the x-axis are all 1, then a histogram is identical to a relative frequency plot.

If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant frequency ( which does not depend on the amplitude ).

If a crest of a wave meets a crest of another wave of the same frequency at the same point, then the magnitude of the displacement is the sum of the individual magnitudes – this is constructive interference.

If the pump waves are of frequency ω < sub > 1 </ sub >

If two waves of the same wavelength and frequency are in phase, both the wave crests and wave troughs align.

If surviving Linear B clay tablets can be trusted, the name po-se-da-wo-ne (" Poseidon ") occurs with greater frequency than does di-u-ja (" Zeus ").

If light ( photons ) of frequency ν < sub > 12 </ sub > pass through the group of atoms, there is a possibility of the light being absorbed by atoms which are in the ground state, which will cause them to be excited to the higher energy state.

If an atom is already in the excited state, it may be perturbed by the passage of a photon that has a frequency ν < sub > 21 </ sub > corresponding to the energy gap ΔE of the excited state to ground state transition.

If we now subject the atoms to light of a frequency, the process of optical absorption will excite the atoms from the ground state to level 3.

If the object is moving either toward or away from the transmitter, there is a slight equivalent change in the frequency of the radio waves, caused by the Doppler effect.

If λ represents wavelength and f represents frequency ( note, λf = c where c is the speed of light ), then z is defined by the equations:

If an object moves with angular velocity ω around a circle of radius r centered at the origin of the x-y plane, then its motion along each coordinate is simple harmonic motion with amplitude r and angular frequency ω.

If the BFO frequency is off, the output signal will be frequency-shifted ( up or down ), making speech sound strange and " Donald Duck "- like, or unintelligible.

If is off by a small amount, then the beat frequency is not exactly, which can lead to the speech distortion mentioned earlier.

One rule of thumb: " If the largest standard deviation

If not for the last second deviation, which compromised his autorotative descent, he might have landed safely.

If the vapor pressure is less than predicted ( a negative deviation ), fewer molecules of each component than expected have left the solution in the presence of the other component, indicating that the forces between unlike molecules are stronger.

If the vapor pressure of a mixture is lower than expected from Raoult's law, there is said to be a negative deviation.

If the deviation is large, then the vapor pressure curve will show a maximum at a particular composition and form a positive azeotrope.

If the phase stability of an oscillator is needed then the time deviation variants should be consulted and used.

If jitter has a Gaussian distribution, it is usually quantified using the standard deviation of this distribution ( aka.

If the measures of correlation used are product-moment coefficients, the correlation matrix is the same as the covariance matrix of the standardized random variables X < sub > i </ sub > / σ ( X < sub > i </ sub >) for i = 1, ..., n. This applies to both the matrix of population correlations ( in which case " σ " is the population standard deviation ), and to the matrix of sample correlations ( in which case " σ " denotes the sample standard deviation ).

If a particular lipid has too large a deviation from zero intrinsic curvature it will not form a bilayer and will instead form other phases such as micelles or inverted micelles.

If we make a negligible deviation from the path of least time then, for the differential triangle formed by the displacement along the path and the horizontal and vertical displacements,

If X is a random variable with a normal distribution with standard deviation 1 and expected value μ then

* If the deviation is caused by a rapid change of the measured property over time, there is a dynamic error.

If any significant deviation beyond strict limits is detected, either the ILS is automatically switched off or the navigation and identification components are removed from the carrier.

If codes designed for x87 are ported to the lower precision double precision SSE2 floating point, certain combinations of math operations or input datasets can result in measurable numerical deviation, which can be an issue in reproducible scientific computations, e. g. if the calculation results must be compared against results generated from a different machine architecture.

If T is a statistic that is approximately normally distributed under the null hypothesis, the next step in performing a Z-test is to estimate the expected value θ of T under the null hypothesis, and then obtain an estimate s of the standard deviation of T. We then calculate the standard score Z = ( T − θ ) / s, from which one-tailed and two-tailed p-values can be calculated as Φ (−| Z |) and 2Φ (−| Z |), respectively, where Φ is the standard normal cumulative distribution function.

If we assume a normally distributed population with mean μ and standard deviation σ, and choose individuals independently, then we have

If the fundamental deviation is greater than zero, the bolt will always be smaller than the basic size and the hole will always be wider.

* If are independent observations from a population that has a mean and standard deviation, then the variance of the total is

If values of the measured quantity A are not statistically independent but have been obtained from known locations in parameter space x, an unbiased estimate of the true standard error of the mean ( actually a correction on the standard deviation part ) may be obtained by multiplying the calculated standard error of the sample by the factor f:

If X < sub > 1 </ sub >, ..., X < sub > n </ sub > are independent normally distributed random variables with mean μ and standard deviation σ

If the distance between the test point and the center of mass is less than one standard deviation, then we might conclude that it is highly probable that the test point belongs to the set.

If the straight line ( or deviation from it ) appears with a slope of negative one, this indicates that the left and right channels are 180 ° out of phase.

If the degree of deviation from normal is significant, hereditary short stature is known as familial short stature and tall stature is known as familial tall stature.