Notes, summaries, assignments, exams, and problems for Other courses

Mastering Reported Speech: Tense Transformations

When reporting what someone said, the tenses often shift. Here's a breakdown of common tense changes:

• Present Simple (makes) → Past Simple (made)
• Present Continuous (is making) → Past Continuous (was making)
• Past Simple (made) → Past Perfect (had made)
• Past Continuous (was making) → Past Perfect Continuous (had been making)
• Present Perfect (has made) → Past Perfect (had made)
• Present Perfect Continuous (has been making) → Past Perfect Continuous (had been making)
• Past Perfect (had made) → Past Perfect (had made) (no change)
• Past Perfect Continuous (had been making) → Past Perfect Continuous (had been making) (no change)
• Future Simple (will make) → Conditional Simple (would make)
• Future

... Continue reading "Mastering Indirect Speech: Tense & Adverb Transformations" »

Vocabulary

• Being admired by the people around you
• Being part of a loving family
• Doing really well in your studies or work
• Having enough money to live well
• Having friends
• Having a lot of time to spend on the things I love doing
• Living in a nice neighborhood

Achieve, Carry Out, and Devote

• Achieve: *conseguir/lograr* (It helped her to achieve her aim of improving her family's happiness)
• Carry out: *llevar a cabo* (Susan's concerns prompted her to carry out her own research)
• Devote: *dedicar* (We know devoting more time...)

Stay, Spend, and Pass

• Stay: *permanecer, estar tiempo* (I stayed 2 hours listening to the radio)
• Spend: *pasar/gastar* (I have spent my life studying)
• Pass: *pasar tiempo*

Make, Cause, and Have

• Make: *hizo que* (The bad sound made the film difficult

... Continue reading "Essential English Vocabulary and Grammar" »

Numerical Methods for Solving Equations

1.1 Solving an Algebraic System

This code defines a function f(V) and then solves the system f([x,y,z]) = [x,y,z] to find its fixed points using the algsys command.

faux(x,y,z) := [(x^2)/2 + 1/3, x+y+z/4, x^2-y^2+(z^2)/4];
f(V) := faux(V[1], V[2], V[3]);

ecus : f([x,y,z]) - [x,y,z];
algsys(ecus, [x,y,z]), numer;

1.2 Fixed-Point Iteration Method

This block implements the fixed-point iteration method. It starts with an initial guess (seed) and iteratively applies the function f until the norm of the difference between successive iterations is smaller than a given tolerance (10^-14).

nor(V) := sqrt(V.V);
fpprec:100;

block(
  semilla:[0,0,0],
  while nor(f(semilla)-semilla) > 10^(-14) do 
    semilla:bfloat(

... Continue reading "Solving Numerical & Algebraic Problems with Maxima Code" »

Metabolic and Biochemical Processes

BMI Calculation: BMI = Kg/M². Interpretation: <25 = Normal, 25-30 = Overweight, >30 = Obese. Ethanolamine (Ethan-NH₃), Choline = N(CH₃)₃

Leptin and Adipose Tissue

Leptin is released from adipose tissue when mass is high. It travels through the blood to the arcuate nucleus, binds to neuronal cells, and activates the JAK-STAT pathway. This increases gene expression of POMC, which produces alpha-MSH (a neurotransmitter). Alpha-MSH reaches neurons connected to adipose tissue, releasing norepinephrine. Norepinephrine binds to beta-adrenergic receptors on adipose tissue, promoting an increase (via the G-protein coupled receptor pathway and activation of PKA). This leads to upregulation of UCP1 expression and... Continue reading "Metabolic Pathways and Liposome Drug Delivery" »

Chemical Equilibrium & Enthalpy Changes

Le Chatelier's Principle & Equilibrium Constant (Kc)

• If a reaction is endothermic, an increase in temperature will shift the equilibrium to the right-hand side (products) to decrease the temperature.
• Position of Equilibrium: Describes how far a reaction has proceeded and the proportion of products to reactants in the mixture.
• Equilibrium Constant (Kc): The constant for an equilibrium system, expressed in terms of concentrations (mol dm^-3) at a given temperature.
• Kc Formula: Kc = [Products] / [Reactants]
  • Example (Haber Process): N₂(g) + 3H₂(g) ⇌ 2NH₃(g)
  • Units for Haber Process Kc: (mol dm^-3)^-2 or mol^-2 dm⁶
• Temperature Effects on Kc/Kp:
  • For an exothermic reaction, an increase in temperature decreases Kc/

... Continue reading "Chemical Principles: Equilibrium, Enthalpy, Kinetics & D-Block" »

Personality characteristics of a Death Foretold Chronicles: Santiago Nasar - 21 year old male who has dropped out of school after the death of his father to direct "The Holy Face", an estate that his father bequeathed him. He is a dreamer, happy and not get into trouble, who is killed by the Vicario brothers after being identified by their sister as he took his virginity. And is loved by the people. Ángela Vicario - Woman of Bayardo San Román, who was returned to her wedding night by not a virgin at marriage, she blames Santiago Nasar. Ibrahim Nasar - Arabic late father of Santiago Nasar. It is noted that he spoke in Arabic with his son and he answered well and remarked as a strange fact as it was not normal from the third generation (which... Continue reading "Features characters Chronicles of a Death Foretold and literary devices" »

Algorithm Implementations in C#

Coin Change: Number of Ways

Calculates the number of ways to make change for amount N using given coin denominations.

• Time Complexity: O(N * C), where C is the number of coins.
• Space Complexity: O(N).

static long GetNumberOfWays(long N, long[] Coins)
{
    long[] ways = new long[(int)N + 1];
    ways[0] = 1;
    for (int i = 0; i < Coins.Length; i++)
    {
        for (int j = 0; j < ways.Length; j++)
        {
            if (Coins[i] <= j)
            {
                ways[j] = ways[j] + ways[(int)(j - Coins[i])];
            }
        }
    }
    return ways[(int)N];
}

Coin Change: Minimum Number of Coins

Determines the minimum number of coins needed to make change for a given amount.

• Time Complexity: O(

... Continue reading "Essential Algorithms and Data Structure Implementations" »

C Linked List Implementations for Student Data

This document presents two distinct C language implementations for managing student records using linked lists: a singly linked list and a circular linked list. Both examples demonstrate fundamental data structure operations such as adding, deleting, searching, and displaying student information.

1. Singly Linked List Implementation

This section details a student management system built using a singly linked list. Students are stored in ascending order of their roll numbers, and duplicate roll numbers are prevented.

Core Structure and Global Head

The Student structure defines the data for each node, including roll number, total marks, average, and a pointer to the next student. The head pointer always... Continue reading "C Linked List Student Data Management Systems" »

Administrative Structure of Slovakia

Slovakia is divided into an administrative structure comprising 8 self-governing regions.

NUTS Classification Levels

The Nomenclature of Territorial Units for Statistics (NUTS) defines the administrative hierarchy:

• NUTS 1: The Slovak Republic
• NUTS 2: 4 units – Bratislava Region, Western Slovakia, Central Slovakia, and Eastern Slovakia
• NUTS 3: 8 self-governing regions
• NUTS 4: 79 districts
• NUTS 5: 2,891 towns and villages

Regional Characteristics

The largest region by area is Banská Bystrica, while the smallest is Bratislava. The most populated region is Prešov, and the most densely populated is Bratislava. Conversely, the least populated region is Trnava, and the least densely populated is Banská Bystrica.

Demographics

... Continue reading "Administrative Geography and Key Economic Sectors of Slovakia" »

English Verb Tenses: Usage & Keywords

Present Simple Tense

• Usage: Routines, habits, facts.
• Example: Juego (I play)

Present Continuous Tense

• Usage: Actions happening now, at the moment, this week, currently.
• Keywords: Now, at the moment, this week, currently, next month (for future arrangements).
• Note: Stative verbs (e.g., verbs of liking, feeling, knowing) are generally not used in continuous tenses.
• Example: Estoy jugando (I am playing)

Present Perfect Tense

• Usage: Actions completed at an unspecified time, or actions that started in the past and continue to the present. Often specifies duration.
• Keywords: Yet, already, just, since, ever, always, never, once, twice, times.
• Note: Since is often used with verbs of feeling to indicate duration.
• Example:

... Continue reading "Mastering English Grammar, Vocabulary, and CLIL Principles" »