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Page "Probability interpretations" ¶ 18
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If and we
If we let them go, they won't stay away, they'll find men to ride with them and they'll be back.
If we was both armed, you wouldn't talk so tough ''.
If we have to we'll take him apart and see what he's made of ''!!
If we look at recent art we find it preoccupied with form.
If we were creating a wholly new society, we could insist that our social, political, economic and philosophic institutions foster rather than hamper man ; ;
If we want respect from ourselves or others, we will have to earn it.
If we cannot stop warfare in our own economic system, how can we expect to abolish it internationally??
If we examine the three types of change from the point of view of their internal structure we find an additional profound difference between the third and the first two, one that accounts for the notable difference between the responses they evoke.
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 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 you had screamed right there in the street where we stood, I could not have felt more fear.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.
If we grasp this opportunity to build an age of productive partnership between the less fortunate nations and those that have already achieved a high state of economic advancement, we will make brighter the outlook for a world order based upon security and freedom.
If art is to release us from these postulated things ( things we must think symbolically about ) and bring us back to the ineffable beauty and richness of the aesthetic component of reality in its immediacy, it must sever its connection with these common sense entities ''.
If he's going to the St. Louis convention as a delegate we ought to know it.
If we are to believe the list of titles printed in Malraux's latest book, La Metamorphose Des Dieux, Vol. 1 ( ( 1957 ), he is still engaged in writing a large novel under his original title.
If we break the minister to our bit, we are buying back our own sins.

If and denote
Let H be a Hilbert space, and let H * denote its dual space, consisting of all continuous linear functionals from H into the field R or C. If x is an element of H, then the function φ < sub > x </ sub >, defined by
If V is a real vector space, then we replace V by its complexification V ⊗< sub > R </ sub > C and let g denote the induced bilinear form on V ⊗< sub > R </ sub > C. Let W be a maximal isotropic subspace, i. e. a maximal subspace of V such that g |< sub > W </ sub > = 0.
If ƒ and g are elements of a C *- algebra, f * and g * denote their respective adjoints.
If we denote by, the set of all problems that can be solved by Turing machines using at most space for some function of the input size, then we can define PSPACE formally as
If we denote this unique identity element by e then for each x, there exists an element i such that x * i = e = i * x.
If R is a ring, let R denote the ring of polynomials in the indeterminate X over R. Hilbert proved that if R is " not too large ", in the sense that if R is Noetherian, the same must be true for R. Formally,
If we denote by exp ( X ) the formal power series
If we denote the-fold product of with itself by, then morphisms from to are m-by-n matrices with entries from the ring.
If neither convergence nor divergence is required in the prescription, " plano " is used to denote a refractive power of zero.
If we denote this error, we may specify an empirical model for our observations,
Gilbert Murray summarizes the derivation from pelas gē, (" neighboring land "):" If Pelasgoi is connected with πέλας, ' near ', the word would mean ' neighbor ' and would denote the nearest strange people to the invading Greeks ..."
If a is an ideal of O < sub > K </ sub >, other than the zero ideal we denote its norm by Na.
If the symbol ℰ is used to denote electron energy level measured relative to the bottom of the conduction band, then in general we have ℰ =
If we denote the length of the altitude by h, we then have the relation
As above, let f and g denote measurable real-or complex-valued functions defined on S. If || fg ||< sub > 1 </ sup > is finite, then the products of f with g and its complex conjugate function, respectively, are μ-integrable, the estimates
If,,, denote integer numbers, of which is less than and less than, then.
If S is the complement of a prime ideal I the localization is denoted by R < sub > I </ sub >, and R < sub > f </ sub > is used to denote the localization by the powers of an element f. The two latter cases are fundamental in algebraic theory and scheme theory.
If is the twisting sheaf of Serre on, we let denote the pullback of to ; that is, for the canonical map
If we denote acceleration ( the second derivative of x ( t ) with respect to time ) as, the equations of motion are:
If is a real number, let denote where i the least integer.
If we denote by S the FOR / DOM exchange rate ( i. e. 1 unit of foreign currency is worth S units of domestic currency ) we can observe that paying out 1 unit of the domestic currency if the spot at maturity is above or below the strike is exactly like a cash-or nothing call and put respectively.
If is a unital ring, we denote by the group of invertible-by-matrices with elements in.
If we let N ( x ) denote the number of Harshad numbers ≤ x, then for any given ε > 0,
If " econophysics " is taken to denote the principle of applying statistical mechanics to economic analysis, as opposed to a particular literature or network, priority of innovation is probably due to Farjoun and Machover ( 1983 ).

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