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Page "Chinese checkers" ¶ 18
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If and three
He added, `` If this doesn't work out, the three of you barricade yourself in the house and talk terms with them ''.
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 cluster together, the redcoats can make an advantage out of it, but there's not a blessed thing they can do with two or three of us except chase us, and we can outrun them ''.
If the Af bond is linear then there are three reasonable positions for the hydrogen atoms: ( 1 ) The hydrogen atoms are centered and hence all lie on a sheet midway between the oxygen sheets ; ;
If three dice are tossed, a trial is one toss of one die and the experiment is composed of three trials.
( One big question: If Colmer was to be purged, what should the House do about the other three senior Mississippians who supported the maverick electors??
If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.
If there are three types of atoms forming the mixture, such as iron, nickel and chromium, then it is called a ternary alloy.
If placing a tile causes three or four chains to merge, then the merger steps are handled between the largest and second-largest chain, then with the third-largest chain, and finally with the smallest chain.
" If you have any sense of humor about your strip — and I had a sense of humor about mine — you knew that for three or four years Abner was wrong.
If appropriate proportions of three primary pigments are mixed, the result reflects so little light as to be called " black ".
If a bubble touches identically-colored bubbles, forming a group of three or more, those bubbles — as well as any bubbles hanging from them — are removed from the field of play, and points are awarded.
If there is no discharge, then all three criteria are needed.
If an account has a credit balance, the amount is copied into column three ( the credit column ).
If a wolf was sighted, the hunter would release a team of two or three borzoi.
If the rider plans a significant amount of hillclimbing, a triple-crank ( three chainrings ) front gear system may be preferred.
If a die leaves the table, the shooter will usually be asked to select another die from the remaining three but can request using the same die if it passes the boxman's inspection.
If the offensive team completes 10 yards on their first play, they lose the other two downs and are granted another set of three.
* If the offence fails to make ten yards in three plays, the defence takes over on downs.
If symptoms develop during the acute phase, they usually resolve spontaneously within three to eight weeks in approximately 90 % of individuals.
If these three ligands and the metal ion are in one plane, the isomer is said to be meridional, or mer.
If each pixel on the display actually contains three rectangular subpixels of red, green, and blue, in that fixed order, then things on the screen that are smaller than one full pixel in size can be rendered by lighting only one or two of the subpixels.
If the index finger of the right hand is pointed forward, the middle finger bent inward at a right angle to it, and the thumb placed at a right angle to both, the three fingers indicate the relative directions of the x -, y -, and z-axes in a right-handed system.

If and sets
If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.
** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.
If sets of statistical moments are known:
If the anchor continues to drag, or sets after having dragged too far, it should be retrieved and moved back to the desired position ( or another location chosen.
* 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 a player wins two sets, or gets a win and a tie, that player wins the game.
If each player wins a set, or both sets end tied, there is a 3-end tiebreaker to determine a winner.
If the sets A and B are equal, this is denoted symbolically as A = B ( as usual ).
If the sets are short to medium length the caller will often try to run the dance until each couple has danced with every other couple both as a 1 and a 2 and returned to where they started.
If two sets are used, each player controls two differently colored sets of pieces at opposite corners of the star.
If two sets are played, the pieces can either go into the opponent's starting corners, or one of the players ' two sets can go into an opposite empty corner.
If κ is an infinite cardinal number, then cf ( κ ) is the least cardinal such that there is an unbounded function from it to κ ; and cf ( κ ) = the cardinality of the smallest collection of sets of strictly smaller cardinals such that their sum is κ ; more precisely
If this precaution was not taken, the potential customers would be at the mercy of " 2 sets of carob seeds ".
Presheaves: If X is a topological space, then the open sets in X form a partially ordered set Open ( X ) under inclusion.
If the two sets of bodies do not have concurrent jurisdiction but, as in the case of the International Criminal Court ( ICC ), the relationship is expressly based on the principle of complementarity, i. e. the international court is subsidiary or complementary to national courts, the difficulty is avoided.
# If A is a disjoint union of countably many disjoint Lebesgue measurable sets, then A is itself Lebesgue measurable and λ ( A ) is equal to the sum ( or infinite series ) of the measures of the involved measurable sets.
A measure μ is monotonic: If E < sub > 1 </ sub > and E < sub > 2 </ sub > are measurable sets with E < sub > 1 </ sub > ⊆ E < sub > 2 </ sub > then
A measure μ is countably subadditive: If E < sub > 1 </ sub >, E < sub > 2 </ sub >, E < sub > 3 </ sub >, … is a countable sequence of sets in Σ, not necessarily disjoint, then
A measure μ is continuous from below: If E < sub > 1 </ sub >, E < sub > 2 </ sub >, E < sub > 3 </ sub >, … are measurable sets and E < sub > n </ sub > is a subset of E < sub > n + 1 </ sub > for all n, then the union of the sets E < sub > n </ sub > is measurable, and

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