If you have taken this stroll in the morning, and you have the time and inclination, walk to the right along the crowded Corso for half a dozen blocks to visit the fine private collection of paintings -- mainly of the sixteenth and seventeenth centuries -- in the Palazzo Doria ( open Sunday, Tuesday, and Thursday, 10:00 to 1:00 ).

* The Lusternik – Schnirelmann theorem: If the sphere S < sup > n </ sup > is covered by n + 1 open sets, then one of these sets contains a pair ( x, − x ) of antipodal points.

* If the metric space X is compact and an open cover of X is given, then there exists a number such that every subset of X of diameter < δ is contained in some member of the cover.

But now, intermarriage is often the result of living in an open society .... If our children end up marrying non-Jews, we should not reject them.

If a user added more than one drive to a system the user had to open the case and cut a trace in the circuit board to permanently change the drive's number, or hand-wire an external switch to allow it to be changed externally.

If a rotating frame is chosen so that just the angular position of an object is held fixed, more complicated motion, such as elliptical and open orbits, appears because the centripetal and centrifugal forces will not balance.

If the content or presentation of a course is inconsistent with preconceived information, the student will learn if he or she is open to varying concepts.

If is continuous in an open set Ω and the partial derivatives of ƒ with respect to x and y exist in Ω, and satisfies the Cauchy – Riemann equations throughout Ω, then ƒ is holomorphic ( and thus analytic ).

* If ƒ ( z ) is locally integrable in an open domain Ω ⊂ C, and satisfies the Cauchy – Riemann equations weakly, then ƒ agrees almost everywhere with an analytic function in Ω.

If the door opens inward and there is a fire, there can be a crush of people who run for the door and they will not be able to open it.

If we allow also the system boundary to move ( e. g. due to moving pistons ) we get a rather general form of the first law for open systems.

If people are also free to move between the countries, in addition to FTA, it would also be considered an open border.

Presheaves: If X is a topological space, then the open sets in X form a partially ordered set Open ( X ) under inclusion.

If the receiving partner has wounds on his genitals, or if the giving partner has wounds or open sores on or in his or her mouth, or bleeding gums, this poses an increased risk of STD transmission.

If these conditions can change, they are better represented by two predicates open ( t ) and on ( t ) that depend on time ; such predicates are called fluents.

If the open string is in tune, but sharp or flat when frets are pressed, the bridge saddle position can be adjusted with a screwdriver or hex key to remedy the problem.

If not blocked or countered, the open row of three will be extended to an open row of four, which threatens to win in two ways.

( i ) If A is open,

If ƒ is complex differentiable at every point z < sub > 0 </ sub > in an open set U, we say that ƒ is holomorphic on U. We say that ƒ is holomorphic at the point z < sub > 0 </ sub > if it is holomorphic on some neighborhood of z < sub > 0 </ sub >.

If there is a crystallographic structure to the target, and especially in semiconductor substrates where the crystal structure is more open, particular crystallographic directions offer much lower stopping than other directions.

# If A is an open or closed subset of R < sup > n </ sup > ( or even Borel set, see metric space ), then A is Lebesgue measurable.

# If A is a Lebesgue measurable set, then it is " approximately open " and " approximately closed " in the sense of Lebesgue measure ( see the regularity theorem for Lebesgue measure ).

If other parts of the program need memory ( a part assigned to open and close the door, for example ), then someone may be trapped inside, since the software cannot open the door.

If the person has a mental illness and it is determined that the mental illness interfered with the person's ability to determine right from wrong ( and other associated criteria a jurisdiction may have ) and if the person is willing to plead guilty or is proven guilty in a court of law, some jurisdictions have an alternative option known as either a Guilty but Mentally Ill ( GBMI ) or a Guilty but Insane verdict.

Put another way, " If you believe A ( set of facts ), you must find X ( verdict ).

If you believe B ( set of facts ), you must find Y ( verdict ).

If the defendant accepts these suggestions and changes his penalty proposition, the court approves it and passes the verdict according to the plea agreement.

If found, res ipsa loquitur creates an inference of negligence, although in most cases it does not necessarily result in a directed verdict.

If the judge finds there is not enough evidence under the standard, the case must be dismissed ( or a subsequent guilty verdict must be vacated and the charges dismissed ).

Dulles wrote, " If we, as a professedly Christian nation, feel morally free to use atomic energy in that way, men elsewhere will accept that verdict.

If the second jury returned a different verdict, that verdict was imposed and the first jury was imprisoned or fined.

If the unanimous verdict of seven judges dissipated any public doubts, the reiterated protestations of the condemned man brought them to life again.

If granted, the court enters a new verdict.

" If one must give his verdict, the weight of evidence seems to be on the side of little intermixture.

If Krantz's verdict on the skull is correct, and the skull itself is indeed that of Zana's son, it would indicate that Zana may have been a member of an isolated hunter gatherer tribe so culturally different from her captors ' society as to make Zana seem non-human to them, even though she was indeed a modern human.

If all do not agree on the verdict, then it must be tried over.

If they fail to reach a unanimous verdict, the judge may later ( after not less than two hours ) give directions that a majority verdict will be acceptable, but still no less than ten to two, although the jury should continue to try to reach a unanimous verdict if possible.

If jurors drop out because of illness or another reason, the trial can continue with a minimum of 12 jurors, but the support of 8 jurors is still needed for a guilty verdict ; anything less is treated as an acquittal.

The Federal Rules of Criminal Procedure state, " The verdict must be unanimous ... If there are multiple defendants, the jury may return a verdict at any time during its deliberations as to any defendant about whom it has agreed ... If the jury cannot agree on all counts as to any defendant, the jury may return a verdict on those counts on which it has agreed ... If the jury cannot agree on a verdict on one or more counts, the court may declare a mistrial on those counts.

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.