Discrete Mathematics: Sets, Graphs, and Matrix Algebra
Unit 1: Set Theory and Functions
1. Set
A set is a well-defined collection of distinct objects, called elements or members. These objects can be numbers, symbols, people, or even other sets. Sets are usually denoted by capital letters such as A, B, or C, and their elements are written within curly braces. For example, A = {1, 2, 3}. A set must be well-defined, meaning it should be clear whether a given object belongs to the set or not. Sets play a foundational role in mathematics and computer science
Read MoreOrthotic Fabrication, Fitting and Alignment for Clinical Practice
Here’s a 550-word write-up for “Construct the device using appropriate fabrication techniques in preparation for the initial fitting – Orthotics Practical”:
Construct the Device for Initial Fitting
Constructing the Device Using Appropriate Fabrication Techniques in Preparation for the Initial Fitting – Orthotics Practical
The construction of an orthotic device is a critical step in ensuring its effectiveness, comfort, and functionality for the patient. It bridges the clinical assessment and biomechanical
Healthy Romantic Relationships: Love Languages, Sex, Conflict & Repair
Chapter 8 – Making a Love Connection
1) What are the love languages (5)?
Words of affirmation — verbal compliments, “I love you,” expressions of appreciation.
Quality time — focused, undivided attention; doing things together; being present.
Gifts/tokens — thoughtful items that show “I was thinking about you.”
Acts of service — helpful actions such as chores, errands, favors.
Physical touch — hand-holding, hugging, cuddling, kissing, sexual touch.
2) What is the difference between liking,
Read MoreKey Concepts in Cognitive Linguistics and Semantics
Icon, Index, and Symbol
Icon, index, and symbol: An icon establishes a relation of similarity between the sign and what it represents (e.g., a portrait of a person). An index establishes a cause-effect relationship or contiguity in space or time (e.g., smoke and fire). A symbol makes an arbitrary, conventional relationship between sign and meaning (e.g., a red flag and danger).
Syntactic Bootstrapping in Language Acquisition
Explain the notion of syntactic bootstrapping: This is a phenomenon by which
Read MorePython Programming: OOP, RegEx, and Web Scraping
Practical 1: Car Class Implementation
Purpose: Demonstrate basic Object-Oriented Programming (OOP) by creating a Car class with accelerate and brake methods.
class Car:
def __init__(self, year, mpg, speed):
self.year = year
self.mpg = mpg
self.speed = speed
def accelerate(self):
self.speed += 10
print(f"The car speeds up. Current speed is {self.speed}")
def brake(self):
if self.speed >= 10:
self.speed -= 10
else:
Why Countries Restrict Free Trade: Key Arguments
Arguments Against Free Trade
Free trade, though beneficial in many ways, has been criticized on several grounds. The main arguments against free trade are as follows:
Infant Industry Argument
New and emerging industries in developing countries cannot compete with well-established foreign industries. Protection through tariffs or quotas is necessary until these industries become strong and efficient.
Unemployment
Free trade may lead to closure of domestic industries that cannot compete with cheaper imports,
Tensions Leading to Civil War: Key Events and Legislation
Tensions Leading to Civil War
Mexican-American War’s Impact
Why did the War with Mexico increase tensions between the North and South?
It opened new land to American settlers and again raised the issue of whether slavery should be allowed in new states.
Wilmot Proviso
What did it do? Why did it anger the South?
It stated that neither slavery nor involuntary servitude would ever exist in territory gained from Mexico. Southerners believed that antislavery decisions in new territories would threaten slavery
Read MoreMarketing Funnel, Brand Valuation & Product Innovation
Marketing Funnel Stages and Marketing Start
1. Visitor 2. Lead 3. MQL 4. SQL 5. Opportunity 6. Customer. Related to marketing funnel, but marketing does not start at the awareness stage.
It starts with analytical marketing (segment analysis of the market) → next is strategic marketing (making decisions – choose segments, positioning, objectives) → operational marketing (marketing funnel with marketing mix).
Visitor
- Reads and leaves
- Does not reach landing page
- Does not share personal data
- Does not
Sociotechnical Systems Versus Technological Determinism
Topic 1: Sociotechnical Perspective Versus Tool View
The sociotechnical perspective (Irvine School/Rob Kling) holds that technology and society mutually constitute each other as inseparable phenomena—tech shapes society AND society shapes tech simultaneously and continuously (bi-directional, not one-way).
This rejects the tool view (Introna 2006), which wrongly treats technology as a neutral, objective artifact separate from society where only humans have agency (anthropocentric). Introna argues
Read MoreEvolution of Materials: From Stone Age to Nanotechnology
The History of Materials
The history of mankind has been linked to the use of materials. For consideration, we divide history into periods, with names that refer to materials: Stone Age, Copper Age, Bronze Age, and Iron Age.
- Stone Age: Characterized by the use of simple materials: bones, pottery, knives, arrows, and spears of flint.
- Copper Age: Copper is obtained from malachite or chalcopyrite.
- Bronze Age: Bronze is created by mixing copper with small amounts of tin.
- Iron Age: The technology of producing