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1. Short history of the IPhO
The International Physics Olympiad (IPhO) is an
international physics competition for secondary school students. The
first such competition was organised by Prof.
Czesław
Ścisłowski in Warsaw (Poland) in 1967.
Since that time the International Physics Olympiads have been
organised, with few exceptions that will be discussed later, in a
different country every year.
The possibility of organising the
International Physics Olympiads was suggested before 1967. It was
clear that the International Physics Olympiads should be an annual
event like the International Mathematics Olympiad, which was already
in existence; organised in 1959. The success of the International
Mathematics Olympiads, and the positive experience gained from its
organisation, greatly stimulated physicists involved in physics
education and interested in comparison of knowledge of the best
students from different countries. The hard work and dedication of
three Professors deserves particular praise: Czesław Ścisłowski
from Poland, Rostislav Kostial from Czechoslovakia and
Rudolf Kunfalvi from Hungary. Each of them investigated various
possibilities of organising the first International Physics Olympiad
in his country. It was concluded that Poland offered the best
conditions and the most favourable atmosphere for such an event.
This, together with a great personal contribution by Prof.
Czesław Ścisłowski, resulted in the first international physics
competition that took place in Warsaw in 1967.
One should underline here an
essential difference between the International Mathematics Olympiads
and the International Physics Olympiads. At the International
Physics Olympiads the participants solve not only theoretical
problems but also the experimental problems. For this reason the
organisation of the competition in physics is more complicated and
more expensive.
Several months before the first IPhO
took place, invitations were sent to all the Central European
countries. The invitations were accepted by Bulgaria,
Czechoslovakia, Hungary and Romania (five countries including
Poland, the organiser of the competition). Each team consisted of
three secondary school students accompanied by one supervisor. The
competition was arranged along the lines of the final stage of the
Polish Physics Olympiad: one day for theoretical problems and one
day for carrying out an experiment. One obvious difference was that
the participants had to wait for the scripts to be marked. During
the waiting period the organisers arranged two excursions by plane
to Kraków and to Gdańsk. At the first IPhO the students had to solve
four theoretical problems and one experimental problem.
The second Olympiad was organised by
Prof. Rudolf Kunfalvi in Budapest, Hungary, in 1968. Eight
countries took part in that competition – The German Democratic
Republic, the Soviet Union and Yugoslavia joined the participating
countries. Again, each country was represented by three high school
students and one supervisor. Some time before the second IPhO a
preliminary version of the Statutes and the Syllabus were produced.
Later the International Board consisting of the supervisors of the
teams that participated in the competition officially accepted these
documents. This took place during a special meeting organised in
Brno, Czechoslovakia, several months after the second IPhO. It is
proper to underline that, in spite of various changes made later,
all the basic features of the first Statutes remain valid to this
day.
The third IPhO was arranged by
Prof. Rostislav Kostial in Brno, Czechoslovakia, in 1969. On
that occasion each team consisted of five students and two
supervisors. The competition in Brno was organised according to the
official Statutes accepted earlier.
The next Olympiad took place in
Moscow, Soviet Union, in 1970. Each country was represented by six
students and two supervisors. During that Olympiad several small
changes were introduced into the Statutes.
Since the fifth IPhO, held in Sofia,
Bulgaria, in 1971, each team has consisted of five pupils and two
supervisors.
The sixth IPhO was held in Bucharest,
Romania, in 1972. It was an important event because among the
participants there were present for the first time, the first
non-European country (Cuba) and the first Western country (France).
At this Olympiad the International Board decided to introduce
several changes into the Statutes (however, no written proposal of
the changes was produced).
Unfortunately, in 1973 there was no
Olympiad as no country was willing to organise it, although the
number of participating countries exceeded the number of the past
Olympiads. When it seemed likely that the International Physics
Olympiads would die, Poland took the initiative of reviving the
international competition and organised the seventh IPhO in Warsaw
in 1974 (for the second time). On this occasion the Federal Republic
of Germany was invited to attend the competition for the first time.
This fact certainly had a symbolic significance.
Before the competition, the
Organising Committee introduced into the Statutes the verbal changes
discussed and accepted in Bucharest. The new version of the Statutes
was sent to all the countries invited to the competition for
acceptance or comments. The wording suggested by the Organising
Committee was accepted (with only one voice against). The most
important changes were as follows:
a) the number of theoretical problems was reduced from
four to three
b) the number of working languages (previously Russian,
English, German and French was reduced to two, English and Russian
c) there should be one rest day between the two
examination days
d) the criteria for prizes should be
expressed in percentages with respect to the highest score received
in a given competition (formerly range of mark for prizes had been
determined with respect to the highest theoretically possible
score).
In 1975, 1976 and 1977 the
International Physics Olympiads took place in the German Democratic
Republic for the first time, Hungary, for the second time, and
Czechoslovakia, for the second time, respectively.
In spring 1977 in Ulan-Bator,
Mongolia, there was a Conference of the Ministers of Education of
the, so-called, Socialist Countries. The Conference decided that the
socialist countries would organise the International Chemistry,
Mathematics and Physics Olympiads every two years. Some people
treated this decision as a political one, aiming to reduce contacts
between pupils from East and West. This aspect should not be
ignored, but certainly the decision was a consequence of the
increasing number of participating countries and rapidly increasing
organisational costs. Regardless of real reasons, according to
common interpretation the above decision was commonly interpreted as
an implicit invitation to other countries to take charge of the
international scientific Olympiads. This explains why in 1978 and in
1980 there were no Olympiads; no non-socialist country was ready to
organise the competition without a prior, necessary long-time
preparation effort. The first IPhO organised by non-socialist
country was the XIII IPhO that took place in Malente, FRG, in 1982.
It was due to very efficient work done by Dr. Gunter Lind.
Then, for the first time, the participants solved, under agreement
of the International Board, two experimental problems in place of
one, previously set.
In 1983 the IPhO was organised, for
the second time, in Bucharest, Romania. Here the number of problems
prepared by the organisers for the pupils much exceeded the number
of problems mentioned in the Statutes, and the International Board
spent a lot of time discussing the Statutes and the Syllabus and the
future of the Olympiads.
As regards the future of the
International Physics Olympiads, there was only one important
decision made in Bucharest. It was decided that the next competition
would take place in Sweden in 1984. Unfortunately, there were no
volunteers to organise the Olympiads in 1985, 1986 and 1987. In such
a situation, upon suggestion of Dr. Gunter Lind (FRG), the
International Board decided to establish a permanent Secretariat
(consisting of one person: Dr. Waldemar Gorzkowski) for
co-ordination of the long-term work of the International Physics
Olympiads and for popularising the Olympiads. At the same time it
was decided that the Secretariat together with Prof. Lars
Silverberg (Sweden), the organiser of the next competition in
Sigtuna, Sweden, in 1984, should prepare a new version of the
Statutes.
The project of revising the Statutes was completed and
the new Statutes were accepted at the ninth IPhO. There are, in
fact, only minor differences between the old and new versions. The
most essential difference is that the new version legalised the
existence of the Secretariat of the International Physics Olympiad,
consisting of two persons (in terminology used recently: President
and Secretary - Dr. Waldemar Gorzkowski and Dr. Andrzej
Kotlicki).
Another change instituted was that at the experimental part of the
competition the participants could be set one or two experimental
tasks, earlier only one was allowed. One can say that the new
version differed from the old one primarily in wording. The new
version was much more precise.
The delegation heads, consisting of
two persons from each participating country, form the, so-called,
International Board, which is the highest authority of the
International Physics Olympiads. The International Board does not
change significantly from year to year. The majority of members know
each other very well. In the International Board there is a very
pleasant, friendly atmosphere. Thanks to this attitude, and good
will, many difficult problems can be solved without great effort.
This is why the Secretariat was able, for instance, to solve the
problem of organisation of the International Physics Olympiads in
1985, 1986 and 1987. In 1985 the International Physics Olympiad took
place in Portoroż (Yugoslavia), in 1986 - in London-Harrow (Great
Britain) and in 1987 - in Jena (GDR).
Here we would like to emphasise that
the United Kingdom organised the XVII IPhO in London-Harrow within
only two years from its entry into the competition! It was made
possible through hard work and great enthusiasm of Dr. Cyril
Isenberg, Dr. Guy Bagnall and Mr. William Jarvis.
Due to joint efforts of the
Secretariat and the organisers of the competitions in 1985 (Prof.
Anton Moljk and Dr. Bojan Golli) and in 1986 (Dr. Guy
Bagnall and Dr. Cyril Isenberg) a new version of the
Syllabus was produced. Its theoretical part was accepted in Portoroż
in 1985 and first applied in London-Harrow in 1986. Later, following
a suggestion of the International Board, the Secretariat prepared a
new, so called, column version of the Syllabus. This version
shows not only the breadth of the physics contents but also
the depth of approach required. The Syllabus of the
International Physics Olympiads is indeed very modern. Nevertheless,
the International Board is always ready to introduce improvements in
the Statutes and Syllabus and does this when necessary.
The competition has run every year
subsequently - the list of participating and organising countries is
shown in Tables 1 and 2.
Following suggestion of Dr. Rodney
Jory (Australia) in 1996 the International Board has decided to
create an Advisory Committee convened at the President. At present
the Advisory Committee consists of 14 persons with great experience
in the “Olympiad work”.
Every year some changes in the
Statutes are made. Usually they are minor changes. Nevertheless,
sometimes the changes are major. The last such change was made in
1999. The Statutes have been split into two parts; proper Statutes,
and Regulations. Changes in the part called “Statutes” require
qualified majority when voting, while changes in the part called
“Regulations” require a simple majority only. In this way the most
important points of the “Olympiad law” have been separated from the
points that are of less importance. The operation of splitting the
Statutes was the most important change since 1984 and was taken with
care. The idea of splitting, formulated by Dr. Rodney Jory
(Australia) in 1997, after preliminary discussion (almost only by
e-mail) in 1997/8 was accepted by the International Board in 1998 in
Reykjavik, Iceland. Then a subcommission consisting of four persons
was created: Dr. Gunter Lind, Dr. Cyril Isenberg,
Dr. Vidar Agustsson and Dr. Waldemar Gorzkowski. The
subcommission prepared, mainly due to work of Dr. Gunter Lind,
a version of the split Statutes, which later was discussed at a
special meeting of the Advisory Committee in Warsaw in March 1999.
After that the version accepted by the Advisory Committee was
accepted by the International Board at the thirtieth IPhO in Padova,
Italy.
The last versions of the Statutes,
Regulations, Syllabus and other Olympiad documents may be downloaded
from the Olympic home page
http://www.jyu.fi/ipho localized in Finland and maintained by
Prof. Maija Ahtee.
Here we would like to highlight the efficient
functioning of the Secretariat due to not only to personal efforts
of its members but also to the assistance of the members of the
International Board. It is proper to mention here the help of Dr.
Gunter Lind (FRG), Prof. Helmuth Mayr (Austria), Prof.
Lars Silverberg (Sweden), Prof. Lars Gislen (Sweden),
Mr. Nicola Velchev (Bulgaria), Dr. Hans Jordens (The
Netherlands), Dr. Dwight Neuenschwander (USA), and others.
2. Structure of the competition
The competition lasts for two days. One day is devoted
to theoretical problems (three problems involving at least four
areas of physics taught in secondary schools). Another day is
devoted to experimental problems (one or two problems). These two
days are separated by at least one day of rest. On both occasions
the time allotted for solving the problems is five hours. Each team
consists of students from general or technical secondary schools
(not colleges or universities). Typically each team consists of five
students (pupils) and two supervisors. The latter form the
International Board. It would make no sense to repeat here the
description of the competition as it may be found in the Statutes of
the International Physics Olympiads.
We would like to underline several
important features:
1. The
problems are given to the pupils in their national languages and the
pupils solve the problems in their mother tongues; IPhO is a
competition in physics, not in foreign languages.
2. The marks awarded by the organisers are compared with
the marks awarded by the delegation heads, and discussed by the
organisers and delegation heads until an agreed mark has been
reached. In this way justice of classification is ensured.
3. For a long time the winners were classified into
categories according to the following rules:
The mean value of points accumulated by the three best
participants is considered normalised to 100%.
The contestants who obtain more than
90% of the above-mentioned mean value receive first prizes. The
contestants who obtain between 78% and 90% receive second prizes.
The contestants who obtain between 65% and 78% receive third prizes.
The contestants who obtained between 50% and 65% receive
commendations called honourable mentions. All other participants
receive certificates of participation. The participant with the
highest score (Absoloute Winner) receives an additional prize.
Some special prizes can also be
awarded.
We would like to emphasise that the
number of prizes in each category was not limited. Due to that
changes of some scores, following, for example, a discussion between
the heads of the delegations and the markers, resulting in a “shift”
of some participants from, for example, the group of second
prize-winners to the group of first prize-winners, the category of
the prize of any other participants does not change. Thus, the
delegation leaders representing different countries do not compete
against each other. This was a very important point.
Unfortunately, the above system of
awarding prizes led to great fluctuation in the numbers of trophies
of different categories. To make life of the organizers easier and
to ensure reasonable number of prizes the system of awarding prizes
was changed. It is described in the Statutes (see the Olympic home
page).
You may ask: what about a team
classification? The answer is very simple: such a classification
does not exist. The IPhO is a competition between individuals only.
There is no team result. Nevertheless, some people try to establish
a kind of unofficial team classification. Some of them take a direct
sum of scores as the result of the team. Some of them take the sum
of scores of the three best participants in each team. Some of them
take, for each team, the tree best results in each problem
independently and so on, and so on. Of course, the final table
depends on the method of calculating the team results, and probably
one can always find some strange system of counting the team results
that will show a team to be the best or one of the best ones.
Non-existence of team classification is important. We do not wish
to introduce rivalry between nations.
The financial principles of the
organisation of the competition are the following:
* the country which sends the team pays for the return
travel costs (to and from the place of the competition) of the
pupils and the accompanying persons;
* from the moment of arrival until
the moment of departure all the costs are covered by the organising
country. In particular, this concerns the costs of local travels,
lodging, excursions, awards, etc.
Recently the International Board
considered several times different proposals aiming to introduce
certain participation fee. Taking into account different financial
possibilities of different countries, in 1997 a voluntary fee was
introduced. It seems, however, that in the future the voluntary fee
will be converted into an obligatory fee.
The number of participating countries
is, however, continually increasing – see Table 1. In 2006 82
countries sent their teams to the 37th IPhO in Singapore.
Every year new countries join the competition and organisation of
the competition becomes more and more expensive. Moreover, it is
more and more difficult to organise the experimental part of the
competition so that all the students have the same experimental
conditions of work.
We can ask: what will be the maximum
number of countries? How long can the number of participating
countries increase without any changes (assuming the same structure
of the competition)? Should we start thinking about "Olympiad
Villages"?
Until now the organisers were always
able to solve all the organisational problems related to the
increasing number of participants. Some time ago I was sure that the
maximum number of countries present at a given Olympiad would not
exceed sixty. But in the meantime certain political processes took
place, such as the break up of the Soviet Union, the break up of
Yugoslavia, etc. In consequence of them many new countries were
created. Most of them are interested in participation in the IPhO.
Now it seems that the number of countries really interested in the
IPhO every year shall not exceed eighty or ninety. Eighty countries
with five students from each country, comes to 400 experimental
stands. This is a very great number. Some countries, however, are
able to provide such a number of identical experimental stands.
Other countries can organise the experimental problem in two groups.
Can this number, i.e. about 90, be
reached? Theoretically, yes. But practically, probably not. The
travel expenses (and possible participation fee that may be
introduced in the future) can limit the number of participants. Many
countries may not be able to send their teams to the competition
every year for financial reasons. The number of participating
countries will probably oscillate around eighty, depending on where
the organising country is situated. This will not require "Olympiad
Villages".
Organisation of the IPhO is becoming
increasingly very difficult. The difficulties are diverse. I am not
going to describe all of them. Nevertheless, I would like to give
one simple example: languages. The marking of the solutions (written
in national languages) is performed by the Organising Committee
which is responsible for correct translation. For the languages
spoken by a number of countries, such as English, German, French or
Spanish, there are no serious difficulties. Also there are no
difficulties in the case of nations or countries with a great
diaspora (e.g. Poland). But in the case of certain minority
languages (e.g. Finnish, Icelandic, etc.) the organisers sometimes
face great problems. Fortunately, all the possible mistakes made
during the marking procedure can be corrected at the verification
sessions with the delegation leaders, although sometimes this is
time consuming. Nevertheless, the problem of languages seems to be
very difficult and probably some changes in the Statutes will be
necessary.
In the context of the above mentioned
"saturation" effects related to limited possibilities of the
organisers (financial and technical) and limited possibilities of
the participants (travel expenses, possible participation fee in the
future) it makes sense to consider an idea of regional physics
Olympiads. This idea is not new. Some time ago the Balkan Physics
Olympiad was created. It involved the, so-called, Balkan
countries in Europe. As far as I know at least three such Olympiads
were conducted. In 1992 the first Iberoamerican Physics Olympiad
was organised (in Colombia). It is a Physics Olympiad for countries
speaking Spanish or Portuguese. Unfortunately, for other reasons
(insufficient international co-operation, certain financial and
organisational problems) the second such Olympiad was organised only
in 1997 (in Mexico). Shortly before the Gulf War the Gulf Physics
Olympiad (for the Arab countries situated at the Arab Gulf) was
organised. As far as I know, until now four such Olympiads were
conducted.
Recently the Asian region is very active in the Olympic
movement. In 2000 the 1st Asian Physics Olympiad (APhO)
was created. Since that time it is organized every year. Its
scientific level and organizational level are very high. It seems
that existence of the APhO substantially affects the results of the
Asian countries at the International Physics Olympiads.
3. Degree of difficulty of the
Olympiad problems
The competition tasks of several
initial International Physics Olympiads were not overly difficult.
They were similar to more difficult school tasks. Later the
difficulty of the competition tasks was increased. It is not easy
to measure difficulty of the competition tasks. I know two
approaches to this problem.
First of them was made by G. S.
Tarasiuk [1]. She defined a coefficient of difficulty k
of the task as a quantity proportional to the ratio of the maximum
possible score to the mean score gained by the participants. In a
similar way she defined a degree of difficulty of a whole Olympiad.
Her statistics involved ten first competitions. The quantity
introduced by Tarasiuk seems to be quite good. It, however,
cannot be applied to recent Olympiads since the International Board
has decided that the results of the participants who have not
received any prize or honourable mention cannot be presented
publicly. In consequence the mean value of the scores gained by the
participants is not known.
The second approach is due to Barbara and
Rudolf Gau [2]. They introduced another parameter A as a
measure of the, so-called, requirement level. The definition
of this parameter is too sophisticated to quote it here.
Nevertheless, it seems quite interesting to show how the parameter
A changes in time - Fig. 1 shows the dependence of A
for twenty first International Physics Olympiads. Note the rapid
increase in the period 1986 - 1989. (Unfortunately, nobody
investigated A for more recent competitions.)

Fig. 1. Requirement level A (vertical
axis) vs. no. of the Olympiad (horizontal axis).
One should
realise that any way of measuring the “difficulty” of the Olympiads
has only an approximate character. The best measure should involve
such “parameters” as: formulation of the problem, length of the
texts of the problems (sic! - some problems are unexpectedly long),
possibilities of solving the problems in different ways, creativity
of the problems, spectrum of knowledge tested by the problems, etc.,
etc. Each of these “parameters” in general is not well defined.
Moreover, each of them should be taken with some weight, which is
not well defined either.
4. Efficiency of participation of
different countries in the competition
As we
have already mentioned, there is no official team classification -
the Statutes of the Olympiads do not define any team results.
Nevertheless, many countries participating in the International
Physics Olympiads are interested in some measure of success of their
teams over the years. Sometimes such a measure is necessary for them
in order to estimate the efficiency of different forms of work. Of
course, one may introduce different parameters describing
“efficiency” of participation. Proper measure should involve
difficulty of the competition problems, quality of grading, quality
of translations, etc., etc. In general it is a very difficult
problem. This is why we suggest to use the parameter defined below
the Table 3 [4, 5]. The Table contains the statistical data for
thirty seven International Physics Olympiads organised until now
(see also Tables 4 and 5). Of course, in case of countries that
participate infrequently in the competition, this parameter is not
good for fluctuations.
5. Interpretation and role of results obtained at
the competition
The results of the competition are treated in different
countries in different ways. In some countries, in some periods,
they are or were treated as a kind of great national achievement:
the participants pass a special, very intensive, training before the
competition and later the winners receive great privileges. But it
seems that such an approach is rather not typical. Most of countries
treat the Olympiad as a kind of measuring instrument that measures
the state of physics education. Of course, one success or lack of
success has no special meaning. It may be a fluctuation. But
successes or lack of successes for several years should be treated
seriously. This is why the results of the competitions are analysed
seriously. The same refers to the competition problems, the
Syllabus, etc. In consequence of these analyses some countries
improved their national syllabuses on physics by introducing new
approaches (e.g. in thermodynamics), new topics (e.g.
relativity, quantum physics), or by reducing some parts
of too traditional character (e.g. geometric optics). Such
changes are an additional result of the International Physics
Olympiads, additional with respect to the tables of the competition
winners. Certainly in a long-term scale this result is more
important than the names of the winners, as any improvements in the
physics education affect all the pupils.
It is obvious that the existence of
the International Physics Olympiads itself is a result of certain
international co-operation. More important is a long-term
international co-operation between the members of the International
Board. This kind of co-operation has existed since the very
beginning, i.e. since the first IPhO. The members of the
International Board exchange physics problems, books, journals,
articles, they discuss their experience gained during organisation
of the national physics competitions etc., etc. Due to such
permanent, or semi-permanent, contacts and due to existence of the
International Physics Olympiads some countries have organised
national physics Olympiads or, at least, smaller scale competitions
for selecting the teams to attend the international competition.
Nearly all the participating countries in the IPhO
provide special training for the participants. Of course, too
intensive training may deform the results. (After a long and
intensive training even an elephant may dance to the tune of the
piper, but certainly that has nothing to do with the natural
abilities of the elephant and one may suspect that the elephant
would not be too happy at that!). In consequence of an extra
intensive training the results may not reflect real abilities of the
students. Also they do not reflect the true state of the physics
education. One should say, however, that most of the countries
approaches to the problem in a rational way. The training periods
etc. in different countries is presented in Table 6.
6. Final remarks
The
impact of the International Physics Olympiads is continually
growing. The role of the International Physics Olympiads is
recognised also by such international organisations as UNESCO and
the EPS (European Physical Society).
The first contacts with UNESCO took
place way back, in 1968, but more extensive co-operation began in
1984. In the period 1984 - 1991 UNESCO supported financially the
publication of the proceedings of the subsequent Olympiads. The
proceedings were distributed to all the countries-members of UNESCO.
It gave us favourable publicity. In addition, UNESCO has published
several books on the physics Olympiads in various languages.
The help of UNESCO was very valuable,
especially in propaganda. Unfortunately, its financial contribution
to organising the competitions was negligible.
One should realise, however, that the
purposes of UNESCO and other international organisations are not
identical with the purposes of the International Physics Olympiads
(although often many points are common). For example, by forced
increasing the number of participating countries one can cause very
serious organisational problems. The organisers of the recent
Olympiads encounter many difficulties of technical and financial
character. To make the work of the organisers somewhat easier, in
1997 a voluntary fee paid by the participants was introduced. This
fee covers part of the organisational expenses and is a good
starting point for raising money from possible sponsors. In order to
ensure smooth organisation, the increase in the number of
participants in the International Physics Olympiad should be
controlled. Otherwise organisation of the IPhO could collapse.
Like UNESCO, the EPS gives us very
strong moral support as well as favourable publicity, and propagates
our achievements among the countries-members of the EPS. It was the
EPS that inspired us in preparation and publication of the booklet
entitled Procedures for Selecting Teams to the International
Physics Olympiads [3]. The booklet comprises a compilation of
reports of different delegations and is very important and helpful
for the countries wishing to join the competition. The booklet was
prepared by the Secretariat together with Prof. Lars Silverberg
and published by him privately in Lund (Sweden). In 1989 the EPS
created a special prize for the winner of the Olympiad, who reached
the best equilibrium between the theoretical and experimental parts
of the competition. This prize was awarded until 1998.
References
[1] Galina Seregeyevna Tarasyuk, Issledovanye
mezhdunarodnych olimpyad po fizikye kak sredstva razvitiya
sposobnostyei uchashchikhsya, manuscript of the lecture given in
Varna during the XII IPhO (distributed among the delegation leaders)
[2] Barbara Gau, Rudolf
Gau, On Alternations in the Structure and Requirement Level
of Theoretical Problems Set in IPhO, „International Physics
Olympiads - vol. I” (ed. by W. Gorzkowski), World Scientific
Publishing Company, Singapore 1990, pp. 53 - 71
[3] Waldemar Gorzkowski, Andrzej
Kotlicki, Lars Silverberg, Procedures for
Selecting Teams to the International Physics Olympiads, publ. by
L. Silverberg, Lund 1986
[4] International Physics Olympiads. -
vol. I, ed. by Waldemar Gorzkowski, World
Scientific Publishing Company, Singapore 1990, pp. 126 – 127
[5] Waldemar Gorzkowski, On
“Efficiency of Participation” in the International Physics Olympiads,
Physics Competitions, 3/1 (2001), pp. 33 – 36
Warsaw; 20 August, 2006
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