Notes, summaries, assignments, exams, and problems

Sort by
Subject
Level

Key Economic and Agricultural Concepts Explained

Classified in Geography

Written on in English with a size of 2.8 KB

Inshore Fishing

Catching fish near the coast, usually performed by the artisanal fleet.

Longline Fisheries

Fishing gear consisting of a main line with branch lines and hanging hooks.

Polyculture

Growing multiple crops on a farm or within traditional agricultural landscapes, such as those in the North Peninsula.

LEADER Program

A European project started in 1991 for rural areas affected by the conversion generated by the CAP. It provides grants to create innovative solutions for rural development, such as rural tourism.

Agrarian Reform

An agrarian policy aimed at modifying the structural characteristics of agriculture, especially land ownership systems. During the Second Republic in Spain, a law on agrarian reform was adopted and implemented in the Republican... Continue reading "Key Economic and Agricultural Concepts Explained" »

Multivariable Calculus and Vector Analysis Formulas

Posted by Anonymous and classified in Mathematics

Written on in English with a size of 3.11 KB

Gradient: \nabla f = \langle f_x,\ f_y,\ f_z\rangle Directional derivative (unit vector u): D_uf = \nabla f\cdot u Unit direction from A→B: u = \frac{B-A}{\|B-A\|} Tangent plane to z=f(x,y): z - z_0 = f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0) Critical points: Solve f_x=0, f_y=0. D = f_{xx}f_{yy} - (f_{xy})^2 Min if D>0,f_{xx}>0. Max if D>0,f_{xx}<0. Saddle if D<0.

General double integral: Type I (y inner): \int_a^b \int_{g_1(x)}^{g_2(x)} f\, dy\, dx

Type II (x inner):

\int_c^d \int_{h_1(y)}^{h_2(y)} f\, dx\, dy

Polar:

x = r\cos\theta,\ y=r\sin\theta,\ dA=r\,dr\,d\theta

Circle: 0\le r\le R.

Line y=mx → \theta=\arctan m.

Region must be continuous in θ.


🔷

3. TRIPLE INTEGRALS

Cylindrical:

x=r\cos\theta,\ y=r\sin\theta,\ dV=r\,dz\,dr\,... Continue reading "Multivariable Calculus and Vector Analysis Formulas" »

Regional Planning and Urban Hierarchy Framework

Classified in History

Written on in English with a size of 2.51 KB

Relational System Infrastructure and Regional Plans

The relational system infrastructure and regional plans set out the proposed regional model, which will guide sectoral planning and the most relevant urban issues. The relational system components are:

  • Integration with the outside: The insertion of shafts and territory networks at national and international levels is a constant concern for territorial plans.
  • Interior joint plans: Proper articulation of the planned territory.
  • Intermodal coordination: Territorial planning is the most appropriate framework to coordinate various modes of transport (road, rail, port, airport, etc.), which normally fall beyond the scope of individual sectoral planning.

Regional Economic Systems and Territorial Models

The... Continue reading "Regional Planning and Urban Hierarchy Framework" »

Essential Medical Conditions and Treatment Protocols

Posted by Anonymous and classified in Medicine & Health

Written on in English with a size of 6.51 KB

Understanding Depression

Causes:

  • Stress and emotional problems: Family issues, job pressure, failure, or loneliness can cause depression.
  • Chemical imbalance in the brain: Low levels of serotonin and other brain chemicals may lead to depression.
  • Genetic factors: Depression may occur in people with a family history of mental illness.
  • Chronic diseases: Diseases like cancer, diabetes, or heart disease may increase depression.

Symptoms:

  • Persistent sadness and crying
  • Loss of interest in work and hobbies
  • Sleep disturbances
  • Fatigue and weakness
  • Poor concentration
  • Loss of appetite
  • Feeling hopeless or guilty

The Four Phases of Migraine

  1. Prodrome phase: Occurs before the headache. Symptoms include mood changes, tiredness, food cravings, and irritability.
  2. Aura phase: Some
... Continue reading "Essential Medical Conditions and Treatment Protocols" »

Marxian Anthropology: Work, Alienation, and Human Essence

Classified in Philosophy and ethics

Written on in English with a size of 2.33 KB

Explanation of Marxian Concepts

Marxian anthropology conceives of man as a natural being who possesses a series of capabilities. These allow individuals to meet their needs through the transformation of nature—a process Marx defined as work, which serves as the defining human trait.

The Role of Productive Activity

In the practice of work, humans realize their own being. Consequently, productive activity determines not only the constitution of each individual but also, under the doctrine of historical materialism, the entirety of social reality.

Historical Modes of Production

This human essence is historical because work takes on different forms across various settings, which Marx called modes of production. These comprise all productive forces... Continue reading "Marxian Anthropology: Work, Alienation, and Human Essence" »

Construction Project Management and Execution Standards

Classified in Technology

Written on in English with a size of 2.3 KB

Project Roles and Responsibilities

  • 1. Promoter
  • 2. Project Designer: Project study, safety, and quality control.
  • 3. Constructor: Economic offer.
  • 4. Licensing: Planning, works recruitment, and safety plan.
  • Home Work
  • 5. Direction (Optional): Address of work, quality control, and safety plan.
  • 6. Control Entities: Tests and analysis.
  • 7. Site Manager: Recruitment, management, coordination, and control of work.

Construction Stages

Stage 1: Preliminary

Demolition, site conditioning, work record, and media implementation for rethinking.

Stage 2: Structure

Excavation, foundation, concrete, and structural reorganization.

Stage 3: Masonry

Roof and walls, partitions, paving, conduit installation, cladding, tiling, plastering, and vertical ducts.

Stage 4: Finishes

Racks,... Continue reading "Construction Project Management and Execution Standards" »

The Oviedo Convention and European Minority Language Rights

Classified in Law & Jurisprudence

Written on in English with a size of 3.68 KB

The Oviedo Convention: Bioethics and Human Rights

The Oviedo Convention, officially known as the Convention on Human Rights and Biomedicine, is a Council of Europe treaty adopted in Oviedo, Spain, in 1997. Its primary purpose is to protect human dignity, human rights, and individual integrity in the field of biology and medicine.

The Convention establishes binding minimum standards for biomedical activities and medical interventions. States may provide even higher levels of protection in their national laws.

Core Principles of the Convention

  1. Primacy of the human being: The interests of the individual take precedence over the interests of science.
  2. Free and informed consent: Medical interventions require prior informed consent, including full disclosure
... Continue reading "The Oviedo Convention and European Minority Language Rights" »

Plato's Theory of Knowledge and the Intelligible World

Classified in Philosophy and ethics

Written on in English with a size of 2.56 KB

1. The Platonic Conception of Knowledge

Knowing is defined as understanding the universal and becoming familiar with the Ideas. These exist not in the immediate world, but above it. Plato utilizes two primary explanations:

  • Reminiscence: A mythical explanation of how knowledge transitions from the sensible world to the world of ideas.
  • Dialectic: The process of ascending from lower knowledge toward the Idea of the Good.

Knowledge of Sensible Objects

This produces mere opinion rather than true knowledge:

  • Conjecture: Knowledge of images, shadows, and reflections. These are neither discernible, demonstrable, nor intuited.
  • Belief (Faith): Knowledge of directly detectable sensible things, such as nature and art. These are imperfect copies of ideas and lack
... Continue reading "Plato's Theory of Knowledge and the Intelligible World" »

Franz Kafka: Life, Literary Works and Narrative Legacy

Classified in Latin

Written on in English with a size of 2.2 KB

Franz Kafka: Life and Literary Legacy

Franz Kafka (1883–1924) was a writer and doctor of law born in Prague. Although Czechoslovakian by birth, he wrote exclusively in German. His life was deeply influenced by his Jewish heritage, the Slavic cultural context of Prague, and the complex relationship with his father, a merchant who pressured him into a legal career. After earning his doctorate, Kafka joined an insurance company in 1907, though he struggled to adapt to professional life.

Early Literary Development

Kafka began his literary journey with Wedding Preparations in the Country, a work exploring the desire to escape paternal tyranny. From 1908, he began writing his Diaries while frequenting the Yiddish theater. These journals provide deep... Continue reading "Franz Kafka: Life, Literary Works and Narrative Legacy" »

Linguistic Diversity and Lexical Evolution in Spain

Classified in Social sciences

Written on in English with a size of 3.35 KB

Origins and Evolution of the Spanish Lexicon

The language and words change over time depending on changes in society and the environment or the desire of speakers to be more expressive. Thus, the shape or meaning of words alters, new ones are created, or others disappear.

Origins of Words

  • Lexicon heritage: These are words from Latin that have undergone the evolution of Castilian over time. Latin words that have not changed are known as learned words.
  • Voices of substrate: These are terms from the languages spoken in the Iberian Peninsula before Roman colonization, specifically Celtic and Basque.
  • Loanwords: Terms from languages in contact with Castilian throughout history (Germanic languages, Arabic, American languages, and other peninsular languages)
... Continue reading "Linguistic Diversity and Lexical Evolution in Spain" »