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 frequency deviation is held constant and the modulation frequency increased, the spacing between spectra increases.

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.

If, the modulation is called narrowband FM, and its bandwidth is approximately.

If, the modulation is called wideband FM and its bandwidth is approximately.

If the oscillator operates above the audio frequency range (> 20 kHz ), the generator will often include some sort of modulation function such as amplitude modulation ( AM ), frequency modulation ( FM ), or phase modulation ( PM ) as well as a second oscillator that provides an audio frequency modulation waveform.

If there is a ΔA, then a small AC voltage will be present that corresponds to the modulation frequency, ω.

If the modulation rate f is synchronised to the cavity round-trip time τ, then a single pulse of light will bounce back and forth in the cavity.

If the frequency of modulation is matched to the round-trip time of the cavity, then some light in the cavity sees repeated up-shifts in frequency, and some repeated down-shifts.

If there is a predominance of either 90 Hz or 150 Hz modulation, the aircraft is off the centerline.

If the sidebands are out of phase with each other, then phase modulation ( PM ) of the carrier occurs.

If the signals are wideband, this will cause aliasing distortion, so it is common to oversample the operation or low-pass filter the signals prior to ring modulation.

If double-sideband modulation schemes such as QAM, ASK, PSK or OFDM are used, this results in a maximum symbol rate of W symbols / s, and in that the modulation efficiency can not exceed N ( bit / s )/ Hz.

If digital single-sideband modulation is used, the passband signal with bandwidth W corresponds to a baseband message signal with baseband bandwidth W, resulting in a maximum symbol rate of 2W and an attainable modulation efficiency of 2N ( bit / s )/ Hz.

If a forward error correction code is used, the spectral efficiency is reduced from the uncoded modulation efficiency figure.

: Example 6: If a forward error correction ( FEC ) code with code rate 1 / 2 is added, meaning that the encoder input bit rate is one half the encoder output rate, the spectral efficiency is 50 % of the modulation efficiency.

: Example 7: If the SNR is 1 times expressed as a ratio, corresponding to 0 decibel, the link spectral efficiency can not exceed 1 ( bit / s )/ Hz for error-free detection ( assuming an ideal error-correcting code ) according to Shannon-Hartley regardless of the modulation and coding.

If lock-in detection is used, then an A. C. modulation voltage is applied to the D. C. tip-sample bias during the bias sweep and the A. C. component of the current in-phase with the modulation voltage is recorded.

If the source has enough modulation bandwidth, as in the case of a laser diode, the source can be modulated directly.

If the circumstances are faced frankly it is not reasonable to expect this to be true.

If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.

If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.

If they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;

If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.

If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.

If it is an honest feeling, then why should she not yield to it??

If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.

If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.

If he is good, he may not be legal ; ;

If the man on the sidewalk is surprised at this question, it has served as an exclamation.

If the existent form is to be retained new factors that reinforce it must be introduced into the situation.

If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??

If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.

If he is a traditionalist, he is an eclectic traditionalist.

If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.

If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.