1986 European Athletics Indoor Championships | ||
---|---|---|
![]() | ||
Track events | ||
60 m | men | women |
200 m | men | women |
400 m | men | women |
800 m | men | women |
1500 m | men | women |
3000 m | men | women |
60 m hurdles | men | women |
Field events | ||
High jump | men | women |
Pole vault | men | |
Long jump | men | women |
Triple jump | men | |
Shot put | men | women |
The men's 3000 metres event at the 1986 European Athletics Indoor Championships was held on 22 and 23 February. [1]
Gold | Silver | Bronze |
Dietmar Millonig ![]() | Stefano Mei ![]() | João Campos ![]() |
First 3 of each heat (Q) and the next 3 fastest (q) qualified for the final.
Rank | Heat | Name | Nationality | Time | Notes |
---|---|---|---|---|---|
1 | 1 | Thomas Wessinghage | ![]() | 8:01.01 | Q |
2 | 1 | António Leitão | ![]() | 8:01.13 | Q |
3 | 2 | Walter Merlo | ![]() | 8:01.14 | Q |
4 | 1 | Dietmar Millonig | ![]() | 8:01.46 | Q |
5 | 1 | Stefano Mei | ![]() | 8:01.50 | q |
6 | 1 | João Campos | ![]() | 8:02.20 | q |
7 | 2 | Gábor Szabó | ![]() | 8:02.55 | Q |
8 | 2 | Mark Roberts | ![]() | 8:03.35 | Q |
9 | 1 | Lubomír Tesáček | ![]() | 8:03.53 | q |
10 | 2 | Czesław Mojżysz | ![]() | 8:04.10 | |
11 | 1 | Billy Dee | ![]() | 8:04.11 | |
12 | 2 | Abel Antón | ![]() | 8:05.09 | |
13 | 2 | Peter Belger | ![]() | 8:14.84 | |
14 | 2 | José Regalo | ![]() | 8:16.52 | |
15 | 2 | José Manuel Abascal | ![]() | 8:17.33 | |
16 | 1 | Jaime López | ![]() | 8:21.23 | |
17 | 1 | Yorgos Petrakis | ![]() | 8:22.22 | |
18 | 2 | Panayotis Fotiou | ![]() | 8:49.97 | |
2 | Luboš Gaisl | ![]() | DNF |
Rank | Name | Nationality | Time | Notes |
---|---|---|---|---|
![]() | Dietmar Millonig | ![]() | 7:59.08 | |
![]() | Stefano Mei | ![]() | 7:59.12 | |
![]() | João Campos | ![]() | 7:59.15 | |
4 | Gábor Szabó | ![]() | 7:59.99 | |
5 | Thomas Wessinghage | ![]() | 8:00.76 | |
6 | Walter Merlo | ![]() | 8:03.29 | |
7 | António Leitão | ![]() | 8:03.43 | |
8 | Lubomír Tesáček | ![]() | 8:04.74 | |
Mark Roberts | ![]() | DNF |
In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over a field K and describes points in K2, the Cartesian product of K with itself. If the field's characteristic is different from 2 and 3, then the curve can be described as a plane algebraic curve which consists of solutions (x, y) for:
The Mandelbrot set is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers for which the function does not diverge to infinity when iterated starting at , i.e., for which the sequence , , etc., remains bounded in absolute value.
Q, or q, is the seventeenth letter of the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is pronounced, most commonly spelled cue, but also kew, kue and que.
RSA (Rivest–Shamir–Adleman) is a public-key cryptosystem, one of the oldest widely used for secure data transmission. The initialism "RSA" comes from the surnames of Ron Rivest, Adi Shamir and Leonard Adleman, who publicly described the algorithm in 1977. An equivalent system was developed secretly in 1973 at Government Communications Headquarters (GCHQ), the British signals intelligence agency, by the English mathematician Clifford Cocks. That system was declassified in 1997.
In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined.
An electric field is the physical field that surrounds electrically charged particles. Charged particles exert attractive forces on each other when their charges are opposite, and repulse each other when their charges are the same. Because these forces are exerted mutually, two charges must be present for the forces to take place. The electric field of a single charge describes their capacity to exert such forces on another charged object. These forces are described by Coulomb's law, which says that the greater the magnitude of the charges, the greater the force, and the greater the distance between them, the weaker the force. Thus, we may informally say that the greater the charge of an object, the stronger its electric field. Similarly, an electric field is stronger nearer charged objects and weaker further away. Electric fields originate from electric charges and time-varying electric currents. Electric fields and magnetic fields are both manifestations of the electromagnetic field, Electromagnetism is one of the four fundamental interactions of nature.
In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. The algebra of quaternions is often denoted by H, or in blackboard bold by Quaternions are not a field, because multiplication of quaternions is not, in general, commutative. Quaternions provide a definition of the quotient of two vectors in a three-dimensional space. Quaternions are generally represented in the form
In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance.
The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. It was first stated by Benoît Paul Émile Clapeyron in 1834 as a combination of the empirical Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law. The ideal gas law is often written in an empirical form:
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for expressing all mathematics.
Exclusive or, exclusive disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs, XOR is true if and only if the inputs differ. With multiple inputs, XOR is true if and only if the number of true inputs is odd.
The second law of thermodynamics is a physical law based on universal empirical observation concerning heat and energy interconversions. A simple statement of the law is that heat always flows spontaneously from hotter to colder regions of matter. Another statement is: "Not all heat can be converted into work in a cyclic process."
In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable which takes the value 1 with probability and the value 0 with probability . Less formally, it can be thought of as a model for the set of possible outcomes of any single experiment that asks a yes–no question. Such questions lead to outcomes that are Boolean-valued: a single bit whose value is success/yes/true/one with probability p and failure/no/false/zero with probability q. It can be used to represent a coin toss where 1 and 0 would represent "heads" and "tails", respectively, and p would be the probability of the coin landing on heads. In particular, unfair coins would have
Electrostatics is a branch of physics that studies slow-moving or stationary electric charges.
In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix
In mathematical statistics, the Kullback–Leibler (KL) divergence, denoted , is a type of statistical distance: a measure of how one probability distribution P is different from a second, reference probability distribution Q. Mathematically, it is defined as
In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q. For example, is a rational number, as is every integer. The set of all rational numbers, also referred to as "the rationals", the field of rationals or the field of rational numbers is usually denoted by boldface Q, or blackboard bold
Coulomb's inverse-square law, or simply Coulomb's law, is an experimental law of physics that calculates the amount of force between two electrically charged particles at rest. This electric force is conventionally called the electrostatic force or Coulomb force. Although the law was known earlier, it was first published in 1785 by French physicist Charles-Augustin de Coulomb. Coulomb's law was essential to the development of the theory of electromagnetism and maybe even its starting point, as it allowed meaningful discussions of the amount of electric charge in a particle.
Quincy Matthew Hanley, better known by his stage name Schoolboy Q, is an American rapper from South Los Angeles, California. He began recording in 2007, and released his first two mixtapes, ScHoolboy Turned Hustla (2008) and Gangsta & Soul (2009) to local success. After signing with the Carson-based record label Top Dawg Entertainment, Hanley's debut studio album, Setbacks (2011) and its follow-up, Habits & Contradictions (2012) were both released to positive critical response; both also performed moderately on the US Billboard 200 chart as digital exclusives.