The fact that even the larger letters weighed only 5 lb. each made it possible to secure the letters to the building through clear acrylic angle brackets cemented to the letters.

The tremendous emphasis on the 5 in the Lo Shu square -- for purely mathematical reasons -- and the fact that this number so neatly symbolized the heart and center of the universe, could well explain why the Old Chinese seem to have so revered the number 5, and why they put so much stress on the concept of Centrality.

By picturing Roman authority negatively proponents of this view believe that it is emphasizing the fact that Christian ’ s should obey and submit to Christ ’ s authority ( Acts 4: 19-20 ; 5: 29 ).

This fact, together with annual GDP growth of above 5 %, has brought the government indebtedness to 22. 8 % of GDP in 2006 from 67. 3 % five years earlier.

In the UK in 2009 it was estimated that up to 12 million shoppers appeared at the sales ( a rise of almost 20 % compared to 2008, although this was also affected by the fact that the VAT would revert to 17. 5 % from 1 January ).

In fact, it only contains four stars above magnitude 5. 0.

* Las Vegas, the 3rd race of the 2001 season, was noted for the fact that Mike Skinner, Earnhardt's teammate at Richard Childress Racing, took over Earnhardt's slot in the No Bull 5 million dollar eligibility for this race since Earnhardt had qualified for the No Bull 5 prize after his final victory in the 2000 Winston 500 at Talladega.

* He noted the exceptional fact that PSL ( 2, p ) is simple and acts on p points if and only if p is 5, 7, or 11.

Paleontologist Donald Prothero noted that this is illustrated by the fact that the number of species known through the fossil record is less than 5 % of the number of known living species, suggesting that the number of species known through fossils must be far less than 1 % of all the species that have ever lived.

1 may be inserted without changing the value of n ( e. g. 1000 = 2 < sup > 3 </ sup >× 3 < sup > 0 </ sup >× 5 < sup > 3 </ sup >). In fact, any positive integer can be uniquely represented as an infinite product taken over all the positive prime numbers,

In fact there are only about 2. 5 elementary particles in the observable universe, so even if one were to use an elementary particle to represent each digit, one would run out of particles well before reaching a googol of digits.

The fact that all currently known ( 2009 ) matter particles fit nicely into three copies of the smallest group representations of SU ( 5 ) and immediately carry the correct observed charges, is one of the first and most important reasons why people believe that a Grand Unified Theory might actually be realized in nature.

In fact, GDP growth was 3. 3 percent in 1991, 5. 6 percent in 1992, and an estimated 3. 7 percent in 1993.

Group I and group II introns are distinguished by different sets of internal conserved sequences and folded structures, and by the fact that splicing of RNA molecules containing group II introns generates branched introns ( like those of spliceosomal RNAs ), while group I introns use a non-encoded guanosine nucleotide ( typically GTP ) to initiate splicing, adding it on to the 5 '- end of the excised intron.

In fact, the team payroll, which had previously remained among the league's highest, was sliced in half from $ 40. 5 million in 1994 ( fourth-highest in the major leagues ) to $ 18. 5 million in 1996 ( second-lowest in the major leagues ).

The ratio of M to R increases by a factor of only three over 2. 5 orders of magnitude of M. This relation is roughly proportional to the star's inner temperature T < sub > I </ sub >, and its extremely slow increase reflects the fact that the rate of energy generation in the core strongly depends on this temperature, while it has to fit the mass – luminosity relation.

Humans are an exception in the natural world for consuming milk past infancy, despite the fact that many humans show some degree ( some as little as 5 %) of lactose intolerance, a characteristic that is more prevalent among individuals of African or Asian descent.

The proportionality is seen by the fact that the ratio for Jupiter, 5. 2 < sup > 3 </ sup >/ 11. 86 < sup > 2 </ sup >, is practically equal to that for Venus, 0. 723 < sup > 3 </ sup >/ 0. 615 < sup > 2 </ sup >, in accord with the relationship.

In fact, it has been theorized that a quasar could form as the Andromeda Galaxy collides with our own Milky Way galaxy in approximately 3 – 5 billion years.

The Australian letter to number mapping was: A = 1, B = 2, F = 3, J = 4, L = 5, M = 6, U = 7, W = 8, X = 9, Y = 0, so the phone number BX 3701 was in fact 29 3701.

The fact that the PBS is located near the 5 ’ terminus of viral RNA is unusual because reverse transcriptase synthesize DNA from 3 ’ end of the primer in the 5 ’ to 3 ’ direction ( with respect to the RNA template ). Therefore, the primer and reverse transcriptase must be relocated to 3 ’ end of viral RNA.

In byte-oriented systems ( i. e. most modern computers ), the term uncompressed BCD usually implies a full byte for each digit ( often including a sign ), whereas packed BCD typically encodes two decimal digits within a single byte by taking advantage of the fact that four bits are enough to represent the range 0 to 9.

The fact that Bede never mentioned a special title for the kings in his list implies that he was unaware of one.

For example, an exterior shot of a building at night followed by an interior shot of people talking implies that the conversation is taking place at night inside that building-the conversation may in fact have been filmed on a studio set far from the apparent location, because of budget, permits or time limitations.

This fact has several important consequences in science: first, it prohibits " perpetual motion " machines ; and second, it implies the arrow of entropy has the same direction as the arrow of time.

In fact, Cantor's method of proof of this theorem implies the existence of an " infinity of infinities ".

The fact that elemental masses combined in simple fractions implies that all elemental mass stems from a common source.

Nietzsche asserts that with the decline of Christianity and the rise of physiological decadence, nihilism is in fact characteristic of the modern age, though he implies that the rise of nihilism is still incomplete and that it has yet to be overcome.

The difficulty encountered when attempting to prove that condition 2 implies condition 1 lies in the fact that topological spaces are, in general, not first-countable.

Thus, for Rand, the fact that consciousness must itself possess identity implies the rejection of both universal skepticism based on the " limits " of consciousness and any claim to revelation, emotion or faith based belief.

Heinlein challenges his readers ' possible racial preconceptions by introducing a strong, sympathetic character, only to reveal much later that he or she is of African or other descent ; in several cases, the covers of the books show characters as being light-skinned, when in fact the text states, or at least implies, that they are dark-skinned or of African descent.

The fact that some parts of the codex are preserved in good condition, while others are in very poor condition, implies they were separated and stored in several places.

In fact, the very large diameter of the next generation tokamak implies that it will be very difficult to mitigate the disruptions that pose a significant challenge in future tokamaks where the increased stored energy can lead to unacceptably large transient heat loads on plasma facing components.

Unarmed fox hunting on horseback with hounds is the type of hunting most closely associated with the United Kingdom ; in fact, " hunting " without qualification implies fox hunting.

The fact that the density is positive definite and convected according to this continuity equation, implies that we may integrate the density over a certain domain and set the total to 1, and this condition will be maintained by the conservation law.

Also, the fact that is random with probability density given by the square modulus of implies that the conditional probability density of given is given by the square modulus of the ( normalized ) conditional wave function ( in the terminology of Dürr et al.

For example, the fact described by the true statement " Paris is the capital city of France " implies that there is such a place as Paris, there is such a place as France, there are such things as capital cities, as well as that France has a government, that the government of France has the power to define its capital city, and that the French government has chosen Paris to be the capital, that there is such a thing as a " place " or a " government ", etc ..

In fact these uses of AC are essential: in 1950 Kelley proved that Tychonoff's theorem implies the axiom of choice.

The fact that Maelgwn's donations to religious foundations are not restricted to the Kingdom of Gwynedd but are spread throughout northern and southern Wales in the regions where the descendants of Cunedda held sway implies that Maelgwn had a responsibility to those regions beyond the responsibilities of a king to his own kingdom.

The language spoken in Gascony before Roman rule was part of the Basque dialectal continuum ( see Aquitanian language ); the fact that the word ' Gascon ' comes from the Latin root vasco / vasconem, which is the same root that gives us ' Basque ', implies that the speakers identified themselves at some moment as Basque.

This is sometimes known as reconstruction archaeology or reconstructional archaeology ; however, reconstruction implies an exact replica of the past, when it is in fact just a construction of one person's idea of the past ; the more archaeologically correct term is a working construction of the past.

The manufacture of pottery typically implies some form of sedentary life due to the fact that pottery is highly breakable and thus generally useless to hunter-gatherers who are constantly on the move ; however this does not seem to have been the case with the first Jōmon people, who perhaps numbered some 20, 000 over the whole archipelago.

In fact, in Daniel 5: 7, 16, 29 Belshazzar implies that he is the second ruler in the kingdom, not the sole ruler ; and yet, he has sufficient power to make someone the third ruler in the kingdom.

All eclecticism that is not self-condemned and inoperative implies a system of doctrine as its basis, in fact, a criterion of truth.

The somewhat deceptive title implies that the songs were recorded live, but all recordings here are in fact studio tracks.

This is confirmed by the fact that the narrow lines do not vary detectably, which implies that the emitting region is large, contrary to the broad lines which can vary on relatively short timescales.