For men who had left cattle alone after getting their first notices had received no second.

For three days, their stolid oxen had plodded up a blazing valley as flat and featureless as a dead sea.

For a brief period each year, the rays of the sun are warm enough to melt some of the snows piled a mile deep at the base of the headwalls, and then the pinnacles glisten in the daytime at high noon, and billions of gallons of water begin their slow seepage under the glaciers and across the rockstrewn hanging valleys on their long, meandering journey to the sea -- running east past the sky-carving massifs of Gurla Mandhata and Kemchenjunga, then turning south and curling down through the jungles of Assam, past the Khasi Hills, and into Bengal, past Sirinjani and Madaripur, until the hard water of the melting snows mingles with the soft drainage of fields and at length fans out to meld with the teeming salt depths of the Bay of Bengal.

For a while he was content to let events develop in their good time.

For lawyers, reflecting perhaps their parochial preferences, there has been a special fascination since then in the role played by the Supreme Court in that transformation -- the manner in which its decisions altered in `` the switch in time that saved nine '', President Roosevelt's ill-starred but in effect victorious `` Court-packing plan '', the imprimatur of judicial approval that was finally placed upon social legislation.

For it includes the emotional ties that bind men to their homeland and the complex motivations that hold a large group of people together as a unit.

For ten minutes they ran beneath the squall, raising their arms and, for the first time, shouting and capering.

For this reason, too, their language is more forthright and earthy.

When Johnny Mercer and Harold Arlen began their collaboration in 1940, Mercer, like Arlen, had several substantial film songs to his credit, among them `` Hooray For Hollywood '', `` Ride, Tenderfoot, Ride '', `` Have You Got Any Castles, Baby??

For it is their catastrophic concept of the Anglo-Saxon invasions rather than Kemble's gradualist approach which dominates the field.

Walter M. Miller, Jr.'s, A Canticle For Leibowitz ( 1959 ) finds men, after the great atomic disaster, stumbling back to their previous level of civilization and another catastrophe ; ;

For as his companions gradually dissolve back into a state of primitive confrontation with elemental necessity, as they lose all the appanage of their acquired culture, he is overcome by the feeling that he is at last being confronted with the essence of mankind.

`` For if ye forgive men their trespasses, your heavenly Father will also forgive you: but if ye forgive not men their trespasses, neither will your Father forgive -- your trespasses ''.

For those who `` like poetry but never get around to reading it '', the Library of Congress makes it possible for poets to be heard reading their own work.

For instance -- what about all those people Harold Rhodes went toward unhesitatingly, as if this were the one moment they would ever have together, their one chance of knowing each other??

For the States which maintain two separate agencies -- one for the vocational rehabilitation of the blind, and one for the rehabilitation of persons other than the blind -- the Act specifies that their minimum ( base ) allotment shall be divided between the two agencies in the same proportion as it was divided in fiscal year 1954.

For readjustment to the U.S., volunteers should be given some separation allowance at the end of their overseas service, based on the length of time served.

For the making of selections on the basis of excellence requires that any foundation making the selections shall have available the judgments of a corps of advisors whose judgments are known to be good: such judgments can be known to be good only by the records of those selected, by records made subsequent to their selection over considerable periods of time.

For this concept of an Advisory Board, ancillary to the Board of Trustees, we are indebted to the late President of Harvard University, A. Lawrence Lowell, a master of the subject of the structure of cultural institutions and their administration.

For example, the interest of past members of the Foundation's Advisory Board remains such that they place their knowledge and judgments at our disposal much as they had done when they were, formally, members of that Board.

For the maintenance of a long-term program, the departments, and particularly their chairmen, are strategic.

For use in formulas, fractions should be converted to their decimal equivalents.

For their length, their types of construction, their picturesque settings, and their literary associations, they should be known and remembered.

For analog signals, signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications.

For the case of a carrier modulated by a single sine wave, the resulting frequency spectrum can be calculated using Bessel functions of the first kind, as a function of the sideband number and the modulation index.

For particular values of the modulation index, the carrier amplitude becomes zero and all the signal power is in the sidebands.

* For small amplitude signals, PM is similar to amplitude modulation ( AM ) and exhibits its unfortunate doubling of baseband bandwidth and poor efficiency.

For example, in the case of QPSK modulation and AWGN channel, the BER as function of the Eb / N0 is given by:

For digital modulation schemes it has been shown that for properly implemented on-off keying / amplitude-shift keying systems, co-channel rejection can be better than for frequency-shift keying systems.

# For serial transmission in a single channel, the DSR reduces to ( 1 / T ) log < sub > 2 </ sub > n ; with a two-condition modulation, i. e. n = 2, the DSR is 1 / T, according to Hartley's law.

# For parallel transmission with equal unit intervals and equal numbers of significant conditions on each channel, the DSR is ( m / T ) log < sub > 2 </ sub > n ; in the case of a two-condition modulation, this reduces to m / T.

For example, in a 2400 bit / s 4-phase sending modem, the signaling rate is 2400 bit / s on the serial input side, but the modulation rate is only 1200 bauds on the 4-phase output side.

For a single channel, the signaling rate is given by, where SCSR is the single-channel signaling rate in bits per second, T is the minimum time interval in seconds for which each level must be maintained, and n is the number of significant conditions of modulation of the channel.

For a prolonged modulation ( or demodulation ), it will be appropriate to consider the probability that an assigned value of the degree of distortion will be exceeded.

For a typical phone call, the audio sound is digitized at an 8 kHz sample rate using 8-bit pulse-code modulation for each of the 8000 samples per second.

For example, in a digital modulation scheme such as QAM where data is typically transmitted in symbols of 4 bits or more, the signal's constellation diagram is arranged so that the bit patterns conveyed by adjacent constellation points differ by only one bit.

For example, for a signal modulated with a linear modulation, like AM ( Amplitude Modulation ), we can use a synchronous detector.

For example, a Morse code transmitter combines source coding, channel coding, and line coding into one step, typically followed by an amplitude modulation step.

For example, some visual area V1 simple cells ' receptive fields can be well described by a Gabor filter in the space domain multiplied by a modulation function in the time domain.

For some period of time, there had been a continuing lobby for changing the modulation for ATSC to COFDM, the way DVB-T is transmitted in Europe, and ISDB-T in Japan.

For example, airband radiotelephones used for air to ground communication between pilots and controllers operates in the VHF band from 118. 0 to 136. 975 MHz, using amplitude modulation.

For the localizer, the depth of modulation for each of the modulating frequencies is 20 percent.

Digital radio and digital television can also be received, however there is much greater difficulty with reception of weak signals due to the cliff effect, particularly with the ATSC TV standard mandated in the U. S. For DVB-T, hierarchical modulation may allow a lower-definition signal to be received even if the details of the full signal cannot be decoded.

For most line codes and modulation methods:

For the limited case of square or pulse wave signals, this is identical to true ring modulation.

For AM signals the tube also functions as a detector, rectifying the RF signal to recover the audio modulation ; for this reason the circuit is also called a regenerative detector.

For related reasons, terahertz radiation also represents the region in which the generation and modulation of coherent electromagnetic signals ceases to be possible by the conventional means used to generate most coherent radiowaves and microwaves, and requires new devices and techniques, many of which are novel.