Notes, abstracts, papers, exams and problems of Other courses

... Continue reading "CUDA Matrix Multiplication: Shared Memory" »

Equity and Financial Concepts

Free Cash Flow (FCF)

FCF_t = EBIT + DEP - CAPEX - ΔWC - TAX

ΔWC = Δreceivables + Δinventories - Δpayables + Δother items

TAX = (EBIT-Y_t)*T = EBIT*T - Y_tT

FCFE = FCF_t - Y_t - PRINC_t

FCF_t^u = FCF_t - Y_tT

Y = k_dD₀ (interest paid is cost of debt*value of debt)

Standard WACC

k_s=(1-L)k_e + Lk_d(1-T) | Use Standard WACC with FCF_u | ITS is not included in both FCF_u & k_s | Need Constant Target Leverage Ratio (L)

k_e = reflects operating and financial risk faced by investors | k_u = unlevered cost of equity (if firm had no debt), reflects operating risk

V₀ = U₀ + I₀ (Enterprise Value = value of operations + value of ITS) | Leave space for Standard WACC equation if k_its = k_d OR k_its = k_u

Standard WACC model implicitly assumes k_its... Continue reading "Understanding Equity, WACC, and Discount Rates in Finance" »

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" »

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" »

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" »

BPSK Signal Generation

This section demonstrates the generation of a Binary Phase Shift Keying (BPSK) signal using Python.

import numpy as np
import matplotlib.pyplot as plt

def bpsk_detect(modulated_signal, carrier):
    return np.sign(modulated_signal * carrier)

message_frequency = 10
carrier_frequency = 20
sampling_frequency = 30 * carrier_frequency
t = np.arange(0, 4/carrier_frequency, 1/sampling_frequency)
message = np.sign(np.cos(2 * np.pi * message_frequency * t) + np.random.normal(scale = 0.01, size = len(t)))
carrier = np.cos(2 * np.pi * sampling_frequency/carrier_frequency * t)
modulated_signal = carrier * message
detected_message = bpsk_detect(modulated_signal, carrier)

plt.figure(figsize=(12, 8))
plt.subplot(4, 1, 1)
plt.plot(t,

... Continue reading "BPSK and QPSK Modulation Techniques with Python" »

Representation of Preferences by Indifference Curves

An indifference curve shows the consumption baskets that yield the same level of satisfaction to the consumer. The consumer is indifferent between various combinations within the indifference curve. The slope at any point on an indifference curve is equal to the rate at which consumers are willing to substitute one good for another. This relationship is called the marginal rate of substitution (MRS). The rate at which a consumer is willing to trade Pepsi for pizza depends on who has more hunger or thirst, which depends in turn on how much pizza and Pepsi they have.

As a consumer prefers a larger quantity of goods, they prefer higher indifference curves to lower ones.

Four Properties of Indifference

... Continue reading "Indifference Curves and Consumer Preferences in Economics" »

Multiple Choice Questions

Choose the correct option:

1. Concepts studied under Microeconomics.

   (a) National Income (b) General Price Level (c) Factor Pricing (d) Product Pricing

   Options: (i) a & b (ii) b & c (iii) c & d (iv) only b

   Ans: Option (iii) c & d

2. The law of DMU is important to

   (a) Producer (b) Consumer (c) Government (d) None of the above

   Option: (i) a & b (ii) b & c (iii) d (iv) a, b & c

   Ans: Option (iv) a, b and c

3. When price falls demand

   (a) Rises (b) Contracts (c) Remains constant (d) Becomes Negative

   Option: (i) a (ii) b (iii) c (iv) d

   Ans: Option (i) a

4. Product differentiation is possible in the following market

   a) Perfect competition. b) Monopoly c) Monopolistic competition. d) All of the above

   Option: (1) a &

... Continue reading "Microeconomics and Macroeconomics: Key Concepts" »

Pumping Lemma and Non-Regular Languages

9) Define Pumping Lemma. Prove that the language L = { aⁱ b^j | i > j } is not a regular language:

Let L be a regular language. There exists a constant k such that for every string ω in L, where the length of string ω i.e |ω| ≥ k, we can break ω into 3 strings i.e ω = xyz following conditions:

• (i) |xy| ≤ k
• (ii) y ≠ ε i.e |y| > 0
• (iii) for each q ≥ 0, xy^qz ∈ L

Let L be a regular language. w = a^(k+1) b^k is a long string (given k > 0). |w| = 2k + 1, w = xyz should satisfy:

• (i) |xy| ≤ k
• (ii) y ≠ 0
• (iii) for each q ≥ 0, xy^q z ∈ L

Let k = 3, w = a⁴ b³, which is aaaaabbb.

• (i) |xy| ≤ k, 3 ≤ 3
• (ii) y ≠ 0, y = a

Minimization of DFA's

11) Minimization of DFA’s A=(Q, Σ, δ, q₀, F):

Use... Continue reading "Pumping Lemma, Table Filling, DFA Minimization, Parse Trees, Ambiguous Grammars & Context-Free Grammars" »

Unit 1: The Impact of the Internet on Content Production

Jump to Digital

Four decades may seem like a long time, but they represent a complete change in our world.

First ‘80s: first personal computers at home.

During ‘90s: first home connections to the Internet.

During ‘00s: mobile phone spreading.

During ‘10s: smartphone spreading.

The environment of content creation and consumption has changed, as have the habits of creators and consumers.

• From magazines and newspapers to digital media.
• From legacy radio to podcasts.
• From traditional TV to VOD (Netflix, Hulu, HBO...).
• From physical formats to digital for entertainment (subscription-based music, ebooks, online games...).

The digital environment is not just about information; it is also an entertainment... Continue reading "Digital Content Creation: Impact, Architecture, and Monetization" »