There was the revolution in Tibet which we pretended did not exist.

There are two kinds of microsporogenesis: successive and simultaneous ( although intermediates exist ).

There is considerable speculation as to why the observable universe is apparently composed almost entirely of matter ( as opposed to a mixture of matter and antimatter ), whether there exist other places that are almost entirely composed of antimatter instead, and what sorts of technology might be possible if antimatter could be harnessed.

There exist pairs of long and short vowels with overlapping vowel quality giving Australian English phonemic length distinction, which is unusual amongst the various dialects of English, though not unknown elsewhere, such as in regional south-eastern dialects of the UK and eastern seaboard dialects in the US .< ref >

There is no scientifically accepted evidence that any such powers exist or that any anomalous operations have been observed in reality.

There is no clear consensus as to how many types of bipolar disorder exist.

There is general consensus that supermassive black holes exist in the centers of most galaxies.

There also exist today several federal constitutional monarchies.

There exist at least two different types of constitutional monarchies in the modern world-executive and ceremonial.

There also exist open-source applications written in Common Lisp, such as:

* There exist context-sensitive languages which are not context-free.

There exist programs that generate " human-sounding " melodies by using a vast database of phrases.

There exist many kinds of isomerism in coordination complexes, just as in many other compounds.

There exist laws restricting or regulating circumcision, some dating back to ancient times.

There exist, as yet, few comprehensive studies of the global division of labour ( an intellectual challenge for researchers ), although the ILO and national statistical offices can provide plenty of data on request for those who wish to try.

There does exist in Filipino an equivalent, gender-neutral term for the professional that carries the more general notion of " healer ", traditional ( for example, an albuláryo ) or otherwise: manggagámot.

There exist some very common erroneous ideas about the Inuit.

There also exist planetary-mass objects that orbit brown dwarfs and other bodies that " float free " in space not bound to any star ; however, the term " planet " is not always applied to these objects.

There exist two types of electric charges, called positive and negative.

There exist other formulations of rules, which are not in everyday language, understandable only to computer scientists.

There have been attempts to resolve the Fermi paradox by locating evidence of extraterrestrial civilizations, along with proposals that such life could exist without human knowledge.

There also exist a host of games where the term " graffiti " is used as a synonym for " drawing " ( such as Yahoo!

There may exist multiple cages for a given girth.

There is a large risk of landslides along the river and historical notes of 15 landslides exist.

: There is no set whose cardinality is strictly between that of the integers and that of the real numbers.

There are 65535 available variables of each type, numbered from to for 16-bit integers, for instance.

There is no universal agreement about whether to include zero in the set of natural numbers: some define the natural numbers to be the positive integers

For example, the set of rational numbers — those numbers which can be written as a quotient of integers — contains the natural numbers as a subset, but is no bigger than the set of natural numbers since the rationals are countable: There is a bijection from the naturals to the rationals.

There can be more than one Gray code for a given word length, but the term was first applied to a particular binary code for the non-negative integers, the binary-reflected Gray code, or BRGC, the three-bit version of which is shown above.

Formally, the theorem is stated as follows: There exist unique integers q and r such that a = qd + r and 0 ≤ r < | d |, where | d | denotes the absolute value of d.

There is a direct method of eliminating multiple ( or repeated ) roots from polynomials with exact coefficients ( integers, rational numbers, Gaussian integers or rational complex numbers ).

There are recent developments in using hyperelliptic curves to factor integers.

:* There is a polynomial from the integers to the integers such that the set S contains exactly the non-negative numbers in its range.

There is an analogous result, also referred to as the Weierstrass preparation theorem, for power series rings over the ring of integers in a p-adic field ; namely, a power series f ( z ) can always be uniquely factored as π < sup > n </ sup >· u ( z )· p ( z ), where u ( z ) is a unit in the ring of power series, p ( z ) is a distinguished polynomial ( monic, with the coefficients of the non-leading term each in the maximal ideal ), and π is a fixed uniformizer.

There are 42 ( note that this number is the period ) positive integers that are less than 49 and coprime to 49.

There is also a new instruction to convert floating point values to integers without having to change the global rounding mode, thus avoiding costly pipeline stalls.

There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every k, the union of the first k subsets is a consecutive sequence of integers.

for non-negative integers n. There is no n = 1 term, because at the equilibrium point, there is no net force and so the first derivative of the energy is zero.

Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic integers of K. There are only finitely many patterns of splitting that may occur.

There is almost universal agreement that in labeling boxes of Young diagrams by pairs of integers, the first index selects the row of the diagram, and the second index selects the box within the row.

There are currently no mainstream general-purpose processors built to operate on 128-bit integers or addresses, though a number of processors do operate on 128-bit data.

* There are always ( infinitely many ) integer specializations, i. e., the assertion of the theorem holds even if we demand ( a < sub > 1 </ sub >,..., a < sub > r </ sub >) to be integers.

There are exactly six such integers: