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This can only happen if Q is an m × n matrix with n ≤ m. Similarly, QQ < sup > T </ sup > = I says that the rows of Q are orthonormal, which requires n ≥ m.
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can and only
There's only one way they can get out now and that's through the Gap -- if we ride hard we can take them ''.
And any sequence can not only change its positions in the work but can even be eliminated from it altogether.
The most effective political inventions seem to make maximum use of natural harbors and are aware that restraining breakwaters can play only a minor part in the whole scheme.
We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.
One can only speak of what is in front of him, and that now is simply the mess ''.
In scope and power it can only be compared to Tolstoy's War And Peace.
Surrounded by crime and violence everywhere, the `` hardboiled '' private eye can retain his purity only through a life of self-imposed isolation.
We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.
Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.
Here there may be an analogy with cancer: we can detect cancers by their rapidly accelerating growth, determinable only when related to the more normal rate of healthy growth.
So we are faced with a vast network of amorphous entities perpetuating themselves in whatever manner they can, without regard to the needs of society, controlling society and forcing upon it a regime representing only the corporation's needs for survival.
Avoiding runaway technology can be done only by assuring a humane society ; ;
This means that the inception of change itself can begin only when the factors conducive to change have already become more powerful than those anchoring the existent form in being.
The most reaction can achieve is stasis, and a stasis that can be maintained only by the expenditure of an effort which ultimately exhausts itself.
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.
Analogously, anyone who argues that Einstein's theory of gravitation is simpler than Newton's, must say rather more to explain how it is that the latter is mastered by student-physicists, while the former can be managed ( with difficulty ) only by accomplished experts.
Moreover, progress in a national transformation can be only gradually earned ; ;
As a nation we can successfully pursue these objectives only from a position of broadly based strength.
It is, however, a disarming disguise, or perhaps a shield, for not only has Mercer proved himself to be one of the few great lyricists over the years, but also one who can function remarkably under pressure.
In fact, I can only say this seems to me to follow from a wide, continuous, and properly guided exposure to literary art.
If it is not one of his best books, it can only be considered unsatisfactory when compared with his own Garibaldi.
In my experience the assurance of forgiveness comes only when I have confessed to the wronged one and have made as full reparation as I can devise.
can and happen
The jug stayed at the hospital and the water -- what can happen to water??
It is not something that can be expected to happen now.
Perhaps the moralities of world law are not advanced by stealing American diplomatic papers and planes, but the Kennedy administration can always file a demurrer to the effect that, but for its own incompetence in protecting American interests, these things would not happen.
It got the kind of scrambled, coarsened performance that can happen to best of orchestras when the man with the baton lacks technique and style.
`` Thanks '', Owen said, `` but Friday is a long way off and anything can happen ''.
All this can happen in about a day, so it is truly a metamorphosis.
* 1800 – Gabriel Prosser postpones a planned slave rebellion in Richmond, Virginia, but is arrested before he can make it happen.
Students can win up to $ 10, 000 to make their innovative project, prototype, venture or community partnership ideas happen.
But at the speed of sound this can no longer happen, and the air which was previously following the streamline around the aircraft now hits it directly.
A person is introduced to alcohol ( in some cultures this can happen at a relatively young age ), and the person enjoys the happy feeling it produces.
Thus, any error in technology or judgment may have far-reaching consequences ( though the same can also happen through natural reproduction ).
I can use Blackwood as a kind of insurance policy, to guarantee that this will not happen.
Eudaemonists generally reply that the universe is moral and that, in Socrates ' words, “ No evil can happen to a good man, either in life or after death ,” or, in Jesus ' words, “ But he who endures to the end will be saved .”
Chamada means ' call ' and can happen at any time during a roda where the rhythm angola is being played.
This can happen when the derivatives are measured directly.
So, for example, an event in a project can happen on w43 ( week 43 ) or w43-1 ( Monday, week 43 ) or, if the year needs to be indicated, on w0543 or w543 ( year 2005 week 43 ).
An avalanche breakdown process can happen in semiconductors, which in some ways conduct electricity analogously to a mildly-ionized gas.
Full of commentary and clipped prose, his books were more intimate than those of his predecessors, dramatizing that crime can happen in one's own living room.
The concept of a database transaction ( or atomic transaction ) has evolved in order to enable both a well understood database system behavior in a faulty environment where crashes can happen any time, and recovery from a crash to a well understood database state.
The concept of a database transaction ( or atomic transaction ) has evolved in order to enable both a well understood database system behavior in a faulty environment where crashes can happen any time, and recovery from a crash to a well understood database state.
These are capable of the most severe types of molecular damage, which can happen in biology to any type of biomolecule, including mutation and cancer, and often at great depths from the skin, since the higher end of the X-ray spectrum, and all of the gamma ray spectrum, are penetrating to matter.
Because of the world's absurdity, at any point in time, anything can happen to anyone, and a tragic event could plummet someone into direct confrontation with the Absurd.
Although the initial analysis is correct, there is another effect that can happen, known as the overvoltage effect.
This is intuitive: the expected value of a random variable is the average of all values it can take ; thus the expected value is what you expect to happen on average.
And therefore I say again, I will marry as soon as I can conveniently, if God take not him away with whom I mind to marry, or myself, or else some other great let happen.
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