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

Macroeconomic Variables and National Accounts Identities

Key Definitions of Income, Savings, and Consumption

• W: Labor Income Before Taxes
• NOS: Net Operating Surplus (Profits Before Taxes)
• Rg: Government Revenue (Income obtained from public properties)
• Cd: Private Consumption (Household consumption spending)
• Yd: Disposable Income (The sum of all household income in a country, after tax)
• Cg: Current Public Consumption (Government expenditures on current goods and services)
• Ig: Public Investment

Savings and Surplus Components

• Sg: Public Savings
  • Formula: Sg = Rg + Td + Ti - Zg - H - Cg
• Sf: Corporate Savings (Reserves/Undistributed profits)
• GOS: Gross Operating Surplus (Profit of firms)
  • Formula: GOS = Sales - Intermediate Consumption - Salaries
• NOS: Net Operating

Elliptic Curve Cryptography (ECC) in Blockchain

Elliptic Curve Cryptography (ECC) is a public-key cryptography technique based on the mathematics of elliptic curves over finite fields. It is widely used in blockchain systems such as Bitcoin and Ethereum for generating secure public-private key pairs and digital signatures. The main advantage of ECC is that it provides high security with smaller key sizes, making it faster and more efficient.

The Mathematical Equation of ECC

The general equation of an elliptic curve is:

y2 = x3 + ax + b

• a and b are constants that define the shape of the curve.
• The curve is defined over a finite field Fₚ (where p is a prime number) for cryptographic applications.
• To be a valid elliptic curve, it must satisfy the condition:

The shoulder joint, also known as the glenohumeral joint, is a ball-and-socket type synovial joint that allows a wide range of motion in the upper limb. Here’s a breakdown of its key features:

🦴 Bones Involved

1. Humerus – the upper arm bone; its head forms the "ball."
2. Scapula (shoulder blade) – contains the glenoid cavity, which forms the "socket."
3. Clavicle (collarbone) – indirectly involved, connecting the shoulder to the axial skeleton via the acromioclavicular and sternoclavicular joints.

🦾 Movements Allowed

Because it is a ball-and-socket joint, it allows:

• Flexion and Extension
• Abduction and Adduction
• Medial (internal) and Lateral (external) Rotation
• Circumduction (circular movement)

💪 Muscles Involved

Key muscles acting on the shoulder...

Stokes' Theorem: Definition and Importance

Stokes' Theorem is a fundamental statement in multivariable calculus that relates the surface integral of the curl of a vector field over a surface to the line integral of the vector field around the boundary of the surface. This is a powerful tool that bridges the gap between line integrals and surface integrals. Stokes' Theorem is a higher-dimensional version of the two-dimensional Green's Theorem, and it is important in many fields of physics and engineering, including fluid dynamics, electromagnetism, and differential geometry. It is an effective tool for evaluating line integrals and investigating the behavior of vector fields in three dimensions.

The Stokes' Theorem Formula

The general formula for...

India's banking system is a well-structured and regulated system, primarily overseen by the Reserve Bank of India (RBI). This document details its structure and evolution.

🏦 1. Regulatory Body: Reserve Bank of India (RBI)

• Established: 1935 (under the RBI Act, 1934)
• Role:
  • Regulates the issue and supply of currency.
  • Acts as the banker to the government and commercial banks.
  • Formulates and implements monetary policy.
  • Supervises and regulates financial institutions and markets.

🏛️ 2. Structure of the Banking System in India

A. Scheduled Banks

Listed in the Second Schedule of the RBI Act, 1934, they maintain a minimum reserve with the RBI.

i. Commercial Banks

These banks operate for profit and constitute the largest group in the Indian banking system....

🔎 Threat Actors & Their Attack Paths

Who is attacking?

Threat Actors are the people or groups launching attacks. Mnemonic: “NO HIS” (Nation-State, Organized Crime, Hacktivists, Insiders, Script Kiddies).

How do threats reach systems?

Threat Vectors are the attack paths used by threat actors. Mnemonic: “MFWDVN” (Messages, Files, Websites, Devices, Vendors, Networks).

Pharmacology Fundamentals

Pharmacokinetics: What the Body Does to the Drug

Phases:

1. Absorption – How a drug enters the bloodstream

2. Distribution – How a drug travels through the body

3. Metabolism – How a drug is broken down (mainly in the liver)

4. Excretion – How a drug leaves the body (mainly through the kidneys)

🧠 Memory Trick: ADME — Absorb, Deliver, Metabolize, Exit

Pharmacodynamics: What the Drug Does to the Body

• Describes how a drug works at the target site

• Involves receptor binding, enzyme interactions, and therapeutic vs. side effects

Examples:

• Beta blockers bind to beta receptors → slow heart rate

• Insulin binds to insulin receptors → lowers blood sugar

Drug Release Types: ER, IR, SR, XL, CR

What is a Web Service?

A Web Service allows two applications or systems to communicate with each other over the internet. It’s like one program calling another program to request data or instruct it to perform an action.

Even if these applications are developed with different programming languages or run on different computers, they can still work together using Web Services.

Key Things to Know

• Works Anywhere: Web Services use common standards (like HTTP, XML, JSON), ensuring compatibility across various systems and platforms.
• Communicates Over Internet: Most Web Services transmit and receive data using HTTP or HTTPS — the same protocols websites use.
• Shares Data in Common Formats:
  • XML: Often used in older or more structured systems (e.g., SOAP)

Aircraft Transmissions

A transmission is a mechanism used to transfer power. It operates through various components such as gears, lash and pattern, belts and pulleys, chains and sprockets, jack screws, and push-pull rods. Proper functioning of these systems is critical, and it is essential to ensure regular lubrication and preventive maintenance to avoid wear and ensure long-term reliability.

Gears

The primary purpose of a gear is to transmit power through motion. It is important to visually inspect all gears for cracked or chipped teeth, as well as for the presence of pitting or excessive wear. Deep pitting marks or excessive wear on gear teeth are reasons for rejecting and replacing a gear.

Lash and Pattern

The lash and pattern of gears are essential...

Carrier

A company that carries goods by road.

Freight Forwarder

A person or business that arranges documentation and travel facilities for companies dispatching goods to customers.

Supplier

A company that supplies parts or services to another company, also known as a vendor.

Haulier

A company that carries goods by road.

Courier

A company that specializes in the speedy and secure delivery of small goods and packages.

Consignee

A person or firm named in a freight contract to whom goods have been shipped or turned over for care.

Transshipment

The loading of goods from one means of carriage onto another.

Break-bulk

The packing of goods in small, separable units.

Cross-docking

The direct flow of goods from receipt at the warehouse to shipping, bypassing storage.