mathematics

Gmina

Gmina is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Gmina rather than just read about it. In short: The gmina (Polish: [ˈɡmina], pl. gminy [ˈɡminɨ]) is the basic unit of the administrative division of Poland, similar to a municipality. As of 1 January 2019, there were 2,479 gminy throughout the country, encompassing over 43,000 villages. 940 gminy include cities and towns, with 322 among them constituting an independent urban gmina (Polish: gmina miejska) consisting solely of a standalone town or one of the 107 ci…

Key takeaways

Gmina belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Gmina to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Gmina from memory before moving on to harder problems.

Reference excerpt

The gmina (Polish: [ˈɡmina], pl. gminy [ˈɡminɨ]) is the basic unit of the administrative division of Poland, similar to a municipality. As of 1 January 2019, there were 2,479 gminy throughout the country, encompassing over 43,000 villages. 940 gminy include cities and towns, with 322 among them constituting an independent urban gmina (Polish: gmina miejska) consisting solely of a standalone town or one of the 107 cities, the latter governed by a city mayor (prezydent miasta). The gmina has been the basic unit of territorial division in Poland since 1974, when it replaced the smaller gromada. Three or more gminy make up a higher level unit called a powiat, except for those holding the status of a city with powiat rights. Each and every powiat has the seat in a city or town, in the latter case either an urban gmina or a part of an urban-rural one.

Types

There are three types of gmina:

302 urban gmina (Polish: gmina miejska) constituted either by a standalone town or one of the 107 cities, the latter governed by a city mayor (prezydent miasta), including 66 cities with powiat rights (Polish: miasto na prawach powiatu) 724 mixed urban-rural gmina (Polish: gmina miejsko-wiejska) consisting of a town and surrounding villages and countryside; other than Gmina Nowe Skalmierzyce, seat of an urban-rural gmina is almost always located in the town 1,453 rural gmina (Polish: gmina wiejska) consisting only of villages and countryside (occasionally of just one village). Some rural gminy have their seat in a town which itself is outside of the gmina's territory. For example, the rural Gmina Augustów is administered from the town of Augustów, but does not include the town, as Augustów is an urban type gmina in its own right. 107 urban gminy constitute cities, distinguished from towns through being governed by a city mayor (prezydent miasta) instead of a town mayor (burmistrz), the status awarded automatically to all urban gminy over 100,000 inhabitants or those with a status of a city with powiat rights, with some others allowed to retain the earlier awarded title due to historical reasons. 66 among the 107 cities (including all voivodeship seats and all cities over 100,000 inhabitants) have the special status of city with powiat rights. Such a city exercises also powers and duties of a powiat while not belonging to any; nevertheless, it may still be a seat of a regular powiat, albeit without belonging to it administratively (such powiat thus being often "doughnut-shaped"). In such cities, the roles of the powiat organs are fulfilled by the ones of the urban gmina.

Government

Polish gminy operate under a mayor-council government. The legislative and oversight body of each gmina is the elected municipal council (rada gminy), in an urban-rural gmina called the town and gmina council (rada miasta i gminy), while in an urban gmina it is called the town/city council (rada miasta). Any local laws considered non-compliant with the national ones may be invalidated by the respective voivode, whose rulings may be appealed to an administrative court. Decisions in individual cases may in turn be appealed to quasi-judicial bodies named local government boards of appeal, their ruling subject to appeal to an administrative court. Executive power is held in the municipality by a directly elected official, called wójt in rural gminy, a town mayor (burmistrz) in urban-rural and most urban gminy which contain towns, or a city mayor (prezydent miasta) in the 107 urban gminy containing cities, the status awarded automatically to all urban gminy over 100,000 inhabitants or those with a status of a city with powiat rights, with some others allowed to retain the earlier awarded title due to historical reasons. A town or city mayor may be scrutinized or denied funding for his/her projects by the council, but is not politically responsible to it and does not require its confidence to remain in office; therefore, cohabitation is not uncommon. In a city with powiat rights, the city mayor additionally has the powers and duties of a powiat executive board and a starosta, while the city council has the powers and duties of a powiat (county) council; both nevertheless being elected under the municipal election rules rather than those applicable to county elections. A recall referendum may be triggered either in respect to the wójt/town mayor/city mayor or to the municipal council through a petition supported by at least 1/10 of eligible voters, but the turnout in the recall referendum must be at least 3/5 of the number of people voting in the original election in order for the referendum to be valid and binding. In addition, elected bodies of any municipality may be suspended by the prime minister of Poland in case of persisting law transgressions or negligence, resulting in such case in the municipality being placed under receivership. A gmina may create auxiliary units (jednostki pomocnicze), which play a subordinate administrative role. In rural areas these are called sołectwa, in towns they may be dzielnice or osiedla and in an urban-rural gmina, the town itself may be designated as an auxiliary unit. The only gmina which is statutorily obliged to have auxiliary units is Warsaw, which is divided since 2002 into 18 boroughs exercising some devolved powers, though not considered separate entities.

Administrative tasks and objectives

Each gmina carries out two classes of tasks:

own tasks – public tasks exercised by gmina as its inherent exclusive competence and financed by its own means, which serve to satisfy the needs of the community. commissioned tasks – tasks of the central government, delegated entirely or partially to gminas, along with an appropriate mandatory government subvention to support them. The tasks can be also divided into another two categories:

compulsory – where the municipality cannot abstain from carrying out the tasks, and must set up a budget to carry them out in order to provide the inhabitants with the basic public benefits optional – where the municipality can carry them out in accordance with available budgetary means, set out only to specific local needs (on the gmina's own responsibility and budget).

Own tasks

Own tasks include matters such as

… excerpt ends here. Continue reading the full article.

Illustrations

Worked examples

Example 1 — a first encounter with Gmina

Start with the simplest possible case. Write down what Gmina claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Gmina before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Gmina ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Gmina

In research: Gmina appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Gmina in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Gmina is common in secondary-school and first-year university syllabi. It links to neighbouring topics Administrative divisions of Poland, Gminas of Poland, LAU statistical regions of the European Union, so understanding it makes those chapters shorter.
In everyday life: Look for Gmina outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Gmina” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Gmina in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Gmina means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Gmina out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gmina in simple terms?

Why does Gmina matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Gmina?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Gmina.