If the valid element indices begin at 0, the constant B is simply the address of the first element of the array.

If the remaining array to be searched is reduced to zero, then the key cannot be found in the array and a special " Not found " indication is returned.

If the tree contains data, we can simply simultaneously store it in a consecutive array in preorder.

If the list is stored as an array data structure, the location may be the index of the item found ( usually between 1 and n, or 0 and n − 1 ).

If the list is stored as an ordered array, then binary search is almost always more efficient than linear search as with n > 8, say, unless there is some reason to suppose that most searches will be for the small elements near the start of the sorted list.

If an XFS filesystem is to be created on a striped RAID array, a stripe unit can be specified when the file system is created.

If an array is used to represent a cycle, it is convenient to obtain the index with a modulo operator, which can result in zero.

If the bees see the colored card as a shade of gray, then they will confuse the blue card with at least one of the gray-toned cards ; bees arriving to feed will visit more than one card in the array.

) These days, Morgan observed, the College offers a far broader array of recreational opportunities: " If we could have looked forward in time to Bowdoin's standard of living today, we would have been astounded.

If left unaddressed, hunger sets in motion an array of outcomes that perpetuate malnutrition, reduce the ability of adults to work and to give birth to healthy children, and erode children's ability to learn and lead productive, healthy, and happy lives.

If full-wavelength spacing is used between antenna elements in an array, the ERP is increased approximately in proportion to the number of elements.

If the Oracle database administrator has implemented Oracle RAC ( Real Application Clusters ), then multiple instances, usually on different servers, attach to a central storage array.

If the right-hand side of the assignment is an array variable, this feature is sometimes called sequence unpacking:

If a con artist is not using a stolen or broken card, he or she can use an array of unlimited cards.

# Using beyond allocated memory ( buffer overflow ): If an array is used in a loop, with incorrect terminating condition, memory beyond the array bounds may be manipulated.

If the data elements in the array have lengths that are divisible by powers of two, this arithmetic is usually much more efficient.

If we made m modifications, then each access operation has O ( logm ) slowdown resulting from the cost of finding the nearest modification in the array.

If the node has no parent — it ’ s the root — we add the new root to a sorted array of roots.

If an array is created on the stack, with a variable laid out in memory directly beside that array, one could index outside that array and then directly change that variable by changing the relevant array element.

If a set of weights, ..., is associated to the dataset, ...,, the weighted harmonic mean is defined by

If these ratios are averaged using an arithmetic mean ( a common error ), high data points are given greater weights than low data points.

If all weights () are

( If the graph has no weights, 1 indicates an edge, 0 indicates no edge.

If all the weights are equal, then the weighted mean is the same as the arithmetic mean.

If all of the are drawn from the same distribution and the integer weights indicate frequency of occurrence in the sample, then the unbiased estimator of the weighted population variance is given by

If they are unsuccessful at that weight, they have the option of reattempting at that weight or trying a heavier weight after any other competitors have made attempts at the previous weight or any other intermediate weights.

If the edge weights are not unique, only the ( multi -) set of weights in minimum spanning trees is unique, that is the same for all minimum spanning trees.

If a tri-drive prime mover is utilised, along with tri-axle dollys, weights can reach nearly.

If the person in the chair pulls the weights towards them, they are doing work and their rotational kinetic energy increases.

If the commodity is quantified in weights according to the usage of its traders, its weight must be determined, and if it is quantified through measures, its exact measure should be known.

If daily weights cannot be obtained, diuretics can also be guided by the urinary sodium concentration.

If the weight of a cycle-cover is defined to be the product of the weights of the arcs in each cycle, then

If the weight of a perfect matching that matches to is defined to be the product of the weights of the edges in the matching, then

If the classifier is linear, then the training model is a set of weights used to scale the value in each voxel before summing them to generate a single number that tells us the condition associated with the data set.

Let g be a Lie algebra, h a maximal commutative Lie subalgebra consisting of semi-simple elements ( sometimes called Cartan subalgebra ) and let V be a finite dimensional representation of g. If g is semisimple, then g = g and so all weights on g are trivial.

If V is the adjoint representation of g, its weights are called roots, the weight spaces are called root spaces, and weight vectors are sometimes called root vectors.

where RSS < sub > i </ sub > is the residual sum of squares of model i. If your regression model has been calculated with weights, then replace RSS < sub > i </ sub > with χ < sup > 2 </ sup >, the weighted sum of squared residuals.

If G is a Kac-Moody algebra, then in any irreducible highest weight representation of U < sub > q </ sub >( G ), with highest weight, the multiplicities of the weights are equal to their multiplicities in an irreducible representation of U ( G ) with equal highest weight.

All columns have a range of molecular weights that can be separated. Range of molecular weights that can be separated for each packing material If an analyte is either too large or too small it will be either not retained or completely retained respectively.

If comparable standards are used, this relative data can be used to determine molecular weights within ± 5 % accuracy.

If a system consists of several particles, the total angular momentum about a point can be obtained by adding ( or integrating ) all the angular momenta of the constituent particles.

If a diatomic molecule consists of two atoms of the same element, such as H < sub > 2 </ sub > and O < sub > 2 </ sub >, then it is said to be homonuclear, but otherwise it is heteronuclear.

* If we think of as the group of real numbers under addition, then the direct product still consists of.

* If we think of as the ring of real numbers, then the direct product again consists of.

* If is the set of all cars, and is the equivalence relation " has the same color as ", then one particular equivalence class consists of all green cars.

If one object consists of a set X with a binary relation R and the other object consists of a set Y with a binary relation S then an isomorphism from X to Y is a bijective function such that:

If the domain consists of the non-negative numbers, then the function is injective and invertible.

If the alphabet consists of alternative symbols, each symbol represents a message consisting of N bits.

If either party consists of two or more members, all will come to attention, but only the most senior member of the party will offer ( or return ) the physical or verbal salute.

If the diad consists of two identically oriented units, the diad is called a meso diad reflecting similar features as a meso compound.

If the diad consists of units oriented in opposition, the diad is called a racemo diad as in a racemic compound.

If the fully qualified domain name of any name server for a zone appears within that zone, the zone administrator provides IP addresses for that name server, which are installed in the parent zone as glue records ; otherwise, the delegation consists of the list of NS records for that zone.

If absent or deficient of natural tissue, alternatives can be cultured sheets of epithelial cells in vitro or synthetic compounds, such as integra, which consists of silicone and bovine tendon collagen with glycosaminoglycans.

If one assumes that all of the universe consists of protons and neutrons, the density of the universe is such that much of the currently observed deuterium would have been burned into helium-4.

If ( E, M ) is a factorization system, then the morphisms in M may be regarded as the embeddings, especially when the category is well powered with respect to M. Concrete theories often have a factorization system in which M consists of the embeddings in the previous sense.

* If K is a field and we consider the K-vector space K < sup > n </ sup >, then the endomorphism ring of K < sup > n </ sup > which consists of all K-linear maps from K < sup > n </ sup > to K < sup > n </ sup >.

If the body consists of a homogeneous material with sufficiently known physical properties, the thermal mass is simply the mass of material present times the specific heat capacity of that material.

If the support of a distribution consists of points, with corresponding probabilities, then the probability mass function of the distribution over can be written, using the Kronecker delta, as

If ecological sanitation is practiced municipal wastewater consists only of greywater, which can be recycled for gardening.

If a thermodynamical system consists of N particles, then a point in the 6N-dimensional phase space describes the dynamical state of every particle in that system, as each particle is associated with three position variables and three momentum variables.

If virtue consists in being useful to our fellow citizens, perhaps there were few more virtuous men than Mr. Craig.

If the universe of discourse consists of all functions from the real line R to itself, then the solutions for f are all functions whose only values are one and zero.

* Spec k, the spectrum of the polynomial ring over a field k, which is also denoted, the affine line: the polynomial ring is known to be a principal ideal domain and the irreducible polynomials are the prime elements of k. If k is algebraically closed, for example the field of complex numbers, a non-constant polynomial is irreducible if and only if it is linear, of the form t − a, for some element a of k. So, the spectrum consists of one closed point for every element a of k and a generic point, corresponding to the zero ideal.