Help


[permalink] [id link]
+
Page "Polytree" ¶ 4
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

If and order
If the old fool argues about the price, tell him I shall order my husband not to treat him as a patient any longer.
If communications work, his decision would be instantly known in all command posts that would originate the actual go order.
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 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 obeyed, the law brings order and satisfaction.
If it is decided to make a small shift which may be required from military aid or special assistance funds, in order to carry out the purposes of the Mutual Security Act through this new peaceful program, this will be a hopeful sign to the world.
If not, how long to order and what is the price ''??
If possible, he should make an appointment in order that all persons involved may be present.
If elements in the sample space increase arithmetically, when placed in some order, then the median and arithmetic average are equal.
If we neglect higher than first order terms in the fluctuations, the mass balance equation becomes
If a planet is found to rotate slower than expected, then astronomers suspect that the planet is accompanied by a satellite, because the total angular momentum is shared between the planet and its satellite in order to be conserved.
If a player is one point away from winning a match, that player's opponent will always want to double as early as possible in order to catch up.
If a house or car is above a certain value, the bankrupt can buy the interest back from the estate in order to keep the asset.
If there is still a tie, each atom in each of the two lists is replaced with a sub-list of the other atoms bonded to it ( at distance 3 from the stereocenter ), the sub-lists are arranged in decreasing order of atomic number, and the entire structure is again compared atom by atom.
If a pixel-by-pixel ( image order ) approach to rendering is impractical or too slow for some task, then a primitive-by-primitive ( object order ) approach to rendering may prove useful.
If the hoop is the hoop in order for the striker ’ s ball, the striker earns a bonus stroke.
If two cofinal subsets of B have minimal cardinality ( i. e. their cardinality is the cofinality of B ), then they are order isomorphic to each other.
If, after that, they breach the order, proceedings can be started and in theory the person involved can be sent to prison.
If the case is dismissed, creditors will look to non-bankruptcy law in order to satisfy their claims.
If the first letters are the same, then the second letters are compared, and so on, until the order is decided.
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 we insert vertices in random order, it turns out ( by a somewhat intricate proof ) that each insertion will flip, on average, only O ( 1 ) triangles – although sometimes it will flip many more.
" If we cannot move on to point B until we have proved point A, and if in order to prove point A we must establish it with absolute certainty, then it looks as though we will have a very hard time proving any point at all.
If several planets in the same system are discovered at the same time, the closest one to the star gets the next letter, followed by the other planets in order of orbital size.

If and dimension
If the fourth dimension is a physical concept and not purely metaphysical, through what medium does it extend??
If V is finite-dimensional, then V * has the same dimension as V. Given a basis
If G = GL < sub >*</ sub >( K ), then the set of natural numbers is a proper subset of G < sub > 0 </ sub >, since for each natural number n, there is a corresponding identity matrix of dimension n. G ( m, n ) is empty unless m = n, in which case it is the set of all nxn invertible matrices.
If a spatial extra dimension is of radius R, the invariant mass of such standing waves would be M < sub > n </ sub > = nh / Rc with n an integer, h being Planck's constant and c the speed of light.
If the input feature vectors have very high dimension, the learning problem can be difficult even if the true function only depends on a small number of those features.
If this happens in an even dimension, the Majorana spinor representation will sometimes decompose into two Majorana – Weyl spinor representations.
If this surface is folded along a third dimension, it allows one to picture a wormhole " bridge ".
If the dimension of V is n and
( If utility U = f ( x, y ), U, in the third dimension, does not have a local maximum for any x and y values.
If the supposed rock was out of space-time dimension, then the question would not make sense, because it would be impossible to move an object from one location in space to another if there is no space to begin with, meaning the faulting is with the logic of the question and not God's capabilities.
If the Noetherianity hypothesis is dropped, then R can have dimension anywhere between d + 1 and 2d + 1.
If R is a commutative ring, and M is an R-module, we define the Krull dimension of M to be the Krull dimension of the quotient of R making M a faithful module.
If V has finite dimension n, then GL ( V ) and GL ( n, F ) are isomorphic.
If we take the modules to be over a field, then the dimension of the n-th homology of X turns out to be the number of " holes " in X at dimension n.
If the polytope lies in n-dimensions, a face in the ( n − 1 )- dimension is called a facet.
If the primary key of the source data is required for reporting, the dimension already contains that piece of information for each row.
If A is torsion-free then it embeds into a vector space over the rational numbers of dimension rank A.
If there exist one or more eigenvalues, then if the corresponding b < sub > i </ sub > ≠ 0, it is a paraboloid ( either elliptic or hyperbolic ); if the corresponding, the dimension i degenerates and does not get into play, and the geometric meaning will be determined by other eigenvalues and other components of b. When it is a paraboloid, whether it is elliptic or hyperbolic is determined by whether all other non-zero eigenvalues are of the same sign: if they are, then it is elliptic ; otherwise, it is hyperbolic.
An extension of the tensor field idea incorporates an extra line bundle L on M. If W is the tensor product bundle of V with L, then W is a bundle of vector spaces of just the same dimension as V. This allows one to define the concept of tensor density, a ' twisted ' type of tensor field.
If the graph has n vertices and m edges then the dimension is m − n + 1.
If R is a field, the cycle space is a vector space over R with dimension m-n + c, where c is the number of connected components of G. If R is any commutative ring, the cycle space is a free R-module with rank m-n + c.
If the source has a maximum overall dimension or aperture width ( D ) that is large compared to the wavelength λ, the far-field region is commonly taken to exist at distances from the source, greater than Fresnel parameter S = D < sup > 2 </ sup >/( 4λ ), S > 1.

0.727 seconds.