If an atom bomb in 1945 could destroy an entire city surely the atomic arsenal we now have is more than adequate to fulfill any military objective required of it.

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.

If a system is composed of two subsystems described in V and W respectively, then the Hilbert space of the entire system is the tensor product of the two spaces.

If x is held fixed, then the Bessel functions are entire functions of α.

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 the operating system's memory is corrupted, the entire computer system may crash and need to be rebooted.

* If the entire language does not allow side-effects, then any evaluation strategy can be used ; this gives the compiler freedom to reorder or combine the evaluation of expressions in a program ( for example, using deforestation ).

If the entire volume of the observable universe ( taken to be 3 × 10 < sup > 80 </ sup > m < sup > 3 </ sup >) were packed solid with fine dust particles about 1. 5 micrometres in size, then the number of different ways of ordering these particles ( that is, assigning the number 1 to one particle, then the number 2 to another particle, and so on until all particles are numbered ) would be approximately one googolplex.

If a compression scheme is lossless — that is, you can always recover the entire original message by uncompressing — then a compressed message has the same quantity of information as the original, but communicated in fewer bits.

If the input has no syntax errors, the parser continues with these steps until all of the input has been consumed and all of the parse trees have been reduced to a single tree representing an entire legal input.

If he succeeded and built the Holy Temple in its proper place and gathered the dispersed ones of Israel together, this is indeed the anointed one for certain, and he will mend the entire world to worship the Lord together, as it is stated: " For then I shall turn for the nations a clear tongue, so that they will all procalim the Name of the Lord, and to worship Him with a united resolve ( Zephaniah 3: 9 ).

If the bark is removed around the entire circumference of a tree it is likely to die.

If the family was too small to finish eating the entire offering in one sitting, an offering was made for a group of families.

If he used the same practice in Norway, Thule is at least the entire northwest coast of Norway from Trondheim to the Lofoten Islands.

Physicalism is then further divided depending on whether it can be known a priori or a posteriori that: If physicalism is true, S is the statement that describes the entire physical nature of the world collectively, and S * is the statement that describes the entire nature of the world, then S entails S *.

If the idea of absolute freedom and entire self-knowledge is absent from this kind of idea of God's acts in time, then God Himself is ( to express the idea anthropomorphically ) becoming something new, or discovering something new about Himself with each new moment, just as we are.

If the Supreme Court finds any referred part unconstitutional, the entire bill falls.

If the mutation rate is too high, exceeding what is known as the error threshold, the quasispecies will break down and be dispersed over the entire range of available sequences.

If the producers chose to reformat the entire show for the 16: 9 ratio, live-action footage would have to be recropped, widening the frame to the full width of the 35 mm negatives while reducing its height.

If successful, this is followed by a service of Glorification in which the Saint is given a day on the church calendar to be celebrated by the entire church.

If a traffic accident occurs on a collector road, or if road construction inhibits the flow, then the entire road system may be rendered useless until the blockage is cleared.

* If θ > θ < sub > c </ sub >, the entire ray reflects from the boundary.

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 not, the curve is subdivided parametrically into two segments, 0 ≤ t ≤ 0. 5 and 0. 5 ≤ t ≤ 1, and the same procedure is applied recursively to each half.

If the organization that is serving the content has control over the network between server and recipients ( i. e., educational, government, and corporate intranets ), then routing protocols such as Protocol Independent Multicast can be used to deliver stream content to multiple Local Area Network segments.

* If the upper cervical cord is involved, all four limbs may be involved and there is risk of respiratory paralysis ( segments C3, 4, 5 to diaphragm ).

If so, they must have begun to coalesce into a single story by the time of the Pyramid Texts, which loosely connect those segments.

If the base address of all 32-bit segments is set to 0, and segment registers are not used explicitly, the segmentation can be forgotten and the processor appears as having a simple linear 32-bit address space.

If the internal bisector of angle A in triangle ABC has length and if this bisector divides the side opposite A into segments of lengths m and n, then

Two of the earliest films to use the form were Edmund Goulding's Grand Hotel ( 1932 ), released by MGM with an all-star cast ; and Paramount's If I Had a Million ( also 1932 ), featuring segments helmed by a number of directors.

If the amount of turns required for reaching all segments in the graph is analyzed, then the analysis is said to measure integration at radius ' n '.

If these segments are cut transversely, it is apparent that they are divided into multiple sections.

If the image were partitioned directly and the wavelet transform separately applied to each segment, under lossy compression the boundaries between segments would tend to be noticeable in the reconstructed image even when no

If there were three categories for each attribute, then the resulting matrix would have twenty-seven possible combinations ( one well-known commercial approach uses five bins per attributes, which yields 125 segments ).

If a curve is not injective, then one can find two intersecting subcurves of the curve, each obtained by considering the images of two disjoint segments from the curve's domain ( the unit line segment ).

If space is needed, the least-full segments are reclaimed first.

If a frond is pinnate, the segments of the blade are called pinnae ( singular: pinna ) and the stalks bearing the pinnae are called petiolules ( The main vein or mid-rib of a pinna is sometimes called a costa ( pl., costae ).

If the ray passes exactly through a vertex of a polygon, then it will intersect 2 segments at their endpoints.

( If the inequality within the segments is known, the total inequality can be determined by those inequality metrics which have the property of being " decomposable ".

If the planar part of the graph is embedded on a flat plane in space, and the apex vertex is placed above the plane and connected to it by straight line segments, the resulting embedding is flat.

If they are connected by line segments, then the construction will be well-defined, but it will not be an exact cissoid of Diocles, but only an approximation.

Elevated roadways are typically built on sections of elevated earth fill connected with bridge-like segments, often supported with vertical columns. If the soil fails where a bridge terminates, the bridge may become disconnected from the rest of the roadway and break away.

If a line contains k points, then it will contain k − 1 line segments which connect two of

If the edges of a shape are straight line segments, then a solution is integrable or knowable in closed-form only if it is expressible as a finite linear combination of plane waves that satisfy the boundary conditions ( zero at the boundary, i. e., membrane clamped ).

If a single host ( a human, a chicken, or other animal ) is infected by two different strains of the influenza virus, then it is possible that new assembled viral particles will be created from segments whose origin is mixed, some coming from one strain and some coming from another.