Notes, summaries, assignments, exams, and problems for Baccalaureate

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Law 19983 on

Classified in English

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Right now, only people over eighteen are allowed to Vote. People think that only people over eighteen are mature enough and Actually take political issues seriously. The truth is, they should be able to Vote. At the age of sixteen, it is only 2 years away from eighteen, and that's Not a very big of a difference. Teens also know what is right and wrong, do not Have to wait until eighteen.

That cannot say that after eighteen they can actually Be mature and think properly. There are also some people that are way over Eighteen, but still are not mature and might not be as mature as an Eighteen-year-old. So why make the law eighteen because sixteen year olds Aren't mature enough to vote? Teens have the same opinions and needs as those Who are eighteen.... Continue reading "Law 19983 on" »

Mastering English Verb Patterns and Grammar

Classified in Spanish

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Verb Patterns: Infinitives and Gerunds

Infinitive with 'to'

Used after certain verbs and expressions:

  • Verbs followed by 'to' + infinitive: afford, agree, decide, expect, forget, help, learn, manage, need, plan, prepare, promise, want, wish.
  • Verb + object + 'to' + infinitive: advise, allow, ask, encourage, expect, help, invite, order, permit, prefer, recommend, tell, want, remind.

Infinitive without 'to'

Used in specific cases:

  • After modal verbs.
  • After 'had better'.
  • After 'but' and 'except'.
  • After verbs of perception.

Gerund (-ing form)

Used in the following situations:

  • As a subject in general statements.
  • As a direct object.
  • For prohibitions.
  • After prepositions.
  • Verbs followed by gerund: avoid, consider, continue, deny, dislike, enjoy, feel, forbid, give up,
... Continue reading "Mastering English Verb Patterns and Grammar" »

The Impact of Religious Imposition on Human Progress and Conflict

Classified in History

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The Renaissance: A Shift from Theocracy to Humanism

Luckily, in 1453, with the Byzantine Empire's fall, the Dark Ages came to an end, and a beautiful new era arose. This was the moment humanity became human-centric, setting aside the dominance of the Church and religion. That moment, known as the Renaissance era, saw rapid development in:

  • Physics
  • Arts
  • General Sciences
  • Mathematics
  • Many other disciplines

This post-Dark Ages era was one of the greatest periods of human development ever registered. However, humanity had still lost about a thousand years under the Dark Ages, primarily because the Church, through its Inquisition and rigid rules, stifled progress. Yet, the Dark Ages inadvertently helped humanity realize that we could not confine ourselves... Continue reading "The Impact of Religious Imposition on Human Progress and Conflict" »

Human Body Features, Professions, and Life Stages in Spanish and English

Classified in Medicine & Health

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Human Body Features: Spanish & English

Face

  • Bloated face: hinchada
  • Freckles: pecas
  • Wrinkles: arrugas
  • Cherubic face: cara bonita de niño
  • Chubby/Podgy face: cara gordita
  • Chubby-cheeked: mofletes gorditos
  • Weather-beaten face: estropeada por el clima
  • Blackheads: puntos negros
  • Moles: lunar
  • Warts: berruga
  • Hollow cheeks/Dimples: hoyuelos

Nose

  • Lopsided nose: torcida
  • Conk: narizón

Eyes

  • Hazel: color avellana
  • Black eye: ojo morado
  • Crossed-eyed: bizca
  • Bulging eyes: saltones
  • Stye: orzuelo
  • Sunken eyes: hundidos
  • Swollen eyes (with bags): con bolsas debajo de los ojos

Mouth

  • Harelip: labio leporino
  • Chapped lips: agrietados
  • Buckteeth: dientes de conejo
  • Wisdom teeth: muelas del juicio

Hair

  • Auburn: caoba
  • Lock of hair: mechón
  • Shock of hair: mata de pelo
  • Fringe: flequillo
  • Parting: raya
  • Plaits:
... Continue reading "Human Body Features, Professions, and Life Stages in Spanish and English" »

English Verb Tenses and Grammar Structures

Classified in English

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Present Simple

I work / He works - don't/doesn't - Do/does

Present Continuous

I am +ing - I am not +ing - Am I +ing?

Past Simple

I +ed - I didn't +ed - Did I +ed?

Past Continuous

I was/were +ing - wasn't/weren't +ing - Was/were I +ing?

Past Perfect Simple

had +ed - hadn't +ed - Had I +ed?

Present Perfect Simple

have/has +ed - haven't/hasn't +ed - Have/has +ed?

Future Simple (Will)

will - won't - Will?

Future (Be Going To)

I am going to buy - I am not going to buy - Am I going to buy?

Future Perfect Simple

will have eaten - won't have eaten - Will I have eaten?

Future Continuous

will be +ing - won't be +ing - Will I be +ing?

Relative Pronouns

  • People: who, that
  • Objects: which, that
  • Possession: whose
  • Moment in time: when, that
  • Place: where

Modals

Can, be able to, can't,

... Continue reading "English Verb Tenses and Grammar Structures" »

Mathematical Proofs and Definitions

Classified in Mathematics

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Axiom

Statement that is considered to be self evident and assumed to be true without any proof or demonstration.

Theorem

Statement that has been proved on the basis of previously established statements, such as other theorems and generally accepted statements such axioms.

Corollary

Statement that follows with little or no proof required from an already proven statement.

Lemma

Mathematical result that is useful in establishing the truth values of some other results.

Trivial proof

The statement on the proof is trivial if we can prove that Q(x) is true for all x in S, then for all x in S, p(x) => q(X) is true regardless of the truth value of p(x).

Vacuous proof

The statement on the proof is vacuous if we can prove that P(x) is true for all x in S, then... Continue reading "Mathematical Proofs and Definitions" »

Computer Types: From Supercomputers to Personal PCs

Classified in Technology

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Supercomputer

Supercomputers are the fastest type of computer available, used for complex calculations in specialized fields like weather forecasting. Their high cost limits their use to specific applications.

Mainframe

Mainframes were originally large cabinets housing central processing units. With the advent of smaller computers, the term evolved to describe powerful machines capable of handling large-scale operations and supporting numerous users simultaneously.

Minicomputer

Minicomputers are mid-sized systems that bridge the gap between mainframes and workstations. They can support multiple users and offer processing power suitable for various tasks.

Personal Computer (PC)

Personal computers are small, affordable computers designed for individual... Continue reading "Computer Types: From Supercomputers to Personal PCs" »

Perfect Competition: Definition, Characteristics, and Examples

Classified in Economy

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Perfect Competition: Meaning and Definition

A perfectly competitive market is one with a large number of buyers and sellers, all trading a homogeneous product without artificial restrictions, and possessing complete market knowledge.

In other words, a market is considered perfect when all potential buyers and sellers are immediately aware of transaction prices. Under these conditions, the price of the commodity tends to equalize across the market.

As Mrs. Joan Robinson stated, "Perfect competition prevails when the demand for the output of each producer is perfectly elastic."

According to Boulding, "A perfectly competitive market may be defined as a large number of buyers and sellers all engaged in the purchase and sale of identically similar commodities,... Continue reading "Perfect Competition: Definition, Characteristics, and Examples" »

Common Spanish Verbs and Prepositions

Classified in English

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For: por

  • account
  • apologize
  • ask
  • angry
  • annoyed
  • be famous
  • be prepared
  • be responsible
  • beg
  • care
  • exchange
  • fight
  • grieve
  • listen
  • long
  • pay
  • provide
  • search
  • stand
  • thank
  • vote
  • wait
  • wish
  • work

From: de o del

  • be divorced
  • be made
  • be protected
  • benefit
  • borrow
  • chose
  • derive
  • deter
  • discourage
  • distract
  • emerge
  • escape
  • exclude
  • expel
  • get back
  • hear
  • recover
  • resign
  • save
  • separate
  • stop
  • suffer

To: a con

  • adapt
  • add
  • adjust
  • admit
  • agree
  • committed
  • connected
  • dedicated
  • devoted
  • exposed
  • friendly
  • faithful
  • limited
  • married
  • opposed
  • related
  • relevant
  • cater
  • confess
  • consent
  • drink
  • devote
  • get used
  • give
  • happen
  • lend
  • react
  • reply
  • respond
  • subscribe
  • talk
  • turn
  • write

ON: En

  • agree
  • base
  • concentrate
  • experiment
  • harp
  • hinge
  • insist
  • operate
  • plan
  • rely

OF:

  • accuse
  • approve
  • be aware
  • dream of
  • envious
  • fond
  • frightened
  • guilty
  • innocent
  • jealous
  • made
  • proud
  • scared
  • terrified
  • consist
  • convict
  • disapprove
  • get tired
  • hear
  • take advantage
  • take
... Continue reading "Common Spanish Verbs and Prepositions" »

Terrorism: Historical Perspective, Current Realities, and Forgotten Precedents

Classified in Social sciences

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Terrorism: Historical Perspective and Current Realities: Some Data (I)

Some Data from the report “40 years of data on international and domestic terrorism”, Heritage Foundation:

  • The psychological impact of the 11/S bombings was huge and might have foreshadowed a new generation of terrorism. Similar bombings in Madrid and London in the coming years seemed to be a confirmation.
  • The fact is that the report from the Heritage Foundation from 2011 registered as many as 39 plots foiled since the fateful bombings: “Simply put, the intelligence and law enforcement communities are better able to track down leads in local communities than they were on September 10, 2001”.

Targets and Casualties:

  • Bombings which take place in the first world lay larger
... Continue reading "Terrorism: Historical Perspective, Current Realities, and Forgotten Precedents" »