Introduction to Data Structures

Introduction to Data Structures

Fundamental Understanding of Data Structures. Duration: 31.10 mins

Introduction to Data Structures

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Data Structures and Their Importance

graph TD A[Data Structures] --> B[Arrays] A --> C[Linked Lists] A --> D[Stacks] A --> E[Queues] A --> F[Trees] A --> G[Graphs] A --> H[Hash Tables] B --> I[Efficient Storage] C --> J[Dynamic Memory] D --> K[LIFO Operations] E --> L[FIFO Operations] F --> M[Hierarchical Data] G --> N[Network Modeling] H --> O[Fast Lookups] I --> P[Importance] J --> P K --> P L --> P M --> P N --> P O --> P P --> Q[Optimized Algorithms] P --> R[Efficient Memory Usage] P --> S[Improved Performance]
  • Fundamental aspect of computer science and programming
  • Organize and manage data for efficient access and modification
  • Cover data arrangement, access, and manipulation

Analogies in Electronics

  • Electronics: Resistors, capacitors, inductors in a circuit for desired electrical behavior
  • Data Structures: Organize and store data for specific operations (searching, sorting, indexing)

Importance of Data Structures

  • Essential for efficient, optimized software applications
  • Provide control over data collection, storage, and retrieval

Types of Data Structures

  • Arrays
  • Linked Lists
  • Stacks
  • Queues
  • Trees
  • Graphs
  • Hash Tables

Array vs. Linked List

  • Array : Like a row of mailboxes. Access data directly via index.
  • Linked List : Like a treasure hunt. Follow links starting from the beginning.

Future Sessions

  • Deep dive into each type of data structure
  • Learn how they work
  • Determine the best use cases for each
graph TD A[Future Sessions] --> B[Deep dive into data structures] A --> C[Learn how they work] A --> D[Determine best use cases] B --> B1[Arrays] B --> B2[Linked Lists] B --> B3[Trees] B --> B4[Graphs] B --> B5[Hash Tables] C --> C1[Time complexity] C --> C2[Space complexity] C --> C3[Implementation details] D --> D1[Problem characteristics] D --> D2[Performance requirements] D --> D3[Trade-offs]

Significance of Data Structures

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Understanding the Significance of Data Structures

  • Data structures are like the components in an electronic circuit.
  • They determine how data is accessed, manipulated, and stored.

Key Reasons for the Significance of Data Structures

  • Efficiency: Improves program efficiency, quick execution and reduced resource consumption.
  • Data Organization: Organizes large amounts of data logically.
  • Reusable Code: Facilitates cleaner, understandable, and reusable code.
  • Memory Usage: Minimizes memory usage, conserving computer resources.
graph TD A[Key Reasons for the Significance of Data Structures] B[Efficiency] C[Data Organization] D[Reusable Code] E[Memory Usage] A --> B A --> C A --> D A --> E B --> B1[Quick execution] B --> B2[Reduced resource consumption] C --> C1[Organizes large amounts of data logically] D --> D1[Cleaner code] D --> D2[Understandable code] D --> D3[Reusable code] E --> E1[Minimizes memory usage] E --> E2[Conserves computer resources]

Relation to Basic Syntax, Variables, Data Types, and Operators in C

  • Basic syntax, variables, data types, and operators are building blocks for data structures.
  • Understanding these concepts is crucial for defining data structures like structs or unions in C.
  • Operators enable efficient modifications of data.
graph TD A[Basic Syntax, Variables, Data Types, and Operators in C] B[Building Blocks for Data Structures] C[Defining Data Structures] D[Structs] E[Unions] F[Efficient Data Modification] A --> B A --> C C --> D C --> E A --> F

Conclusion

  • Data structures manage computer resources efficiently.
  • Essential for writing effective, reusable, and optimizable code.
  • Without them, data management tasks would be inefficient and cumbersome.

Classification of Data Structures

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Data structures and their classifications

Introduction

  • Critical concept in computer science
  • Organize data efficiently
  • Classification helps in selecting appropriate structures

Classification of Data Structures

Data structures are primarily classified into:

  • Linear Data Structures
  • Non-Linear Data Structures

Linear Data Structures

  • Elements arranged sequentially
  • Connected to previous and next elements
  • Front and back ends
graph TD A[Linear Data Structures] B[Elements arranged sequentially] C[Connected to previous and next elements] D[Front and back ends] A --> B A --> C A --> D

Examples of Linear Data Structures

Arrays

Collection of elements of the same type placed in contiguous memory locations.

int arr[] = {10, 20, 30, 40};
Linked Lists

Consist of nodes, each containing data and a reference to the next node.

struct Node {
    int data;
    struct Node* next;
};
Stacks

Follows Last-In-First-Out (LIFO) principle.

Pile of plates analogy.

void push(int data) {
    struct Node* temp = (struct Node*)malloc(sizeof(struct Node));
    temp->data = data;
    temp->next = top;
    top = temp;
}
Queues

Follows First-In-First-Out (FIFO) principle.

Line at a ticket counter analogy.

void enqueue(int data) {
    struct Node* temp = (struct Node*)malloc(sizeof(struct Node));
    temp->data = data;
    temp->next = NULL;
    if (rear == NULL) {
        front = rear = temp;
        return;
    }
    rear->next = temp;
    rear = temp;
}
graph TD A[Queues] --> B[FIFO Principle] A --> C[Line at Ticket Counter Analogy] A --> D[enqueue Function] D --> E[Create New Node] E --> F[Set Data] E --> G[Set Next to NULL] D --> H{Is Queue Empty?} H -->|Yes| I[Set Front and Rear to New Node] H -->|No| J[Add to Rear] J --> K[Update Rear]

Non-Linear Data Structures

  • Not organized sequentially
  • Hierarchical or multi-level structures

Examples of Non-Linear Data Structures

Trees

Nodes connected by edges without forming a cycle.

struct Node {
    int data;
    struct Node* left;
    struct Node* right;
};
Graphs

Collections of nodes or vertices connected by edges.

Represent complex relationships like social networks.

struct Graph {
    int numVertices;
    struct Node** adjLists;
};

Analogy with Electronics

  • Linear Data Structures: Circuits in series
  • Non-Linear Data Structures: Complex circuit arrangements

Understanding flow crucial in both fields.

Understanding Stacks and Queues with real-world examples like traffic on a single-lane road (stack) and people waiting in a line (queue)

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Stacks and Queues

  • Abstract data structures
  • Manage a collection of elements
  • Rules for adding and removing elements

Stack

  • A linear data structure
  • Operates on LIFO (Last In, First Out) principle
  • Fundamental operations:
    • push : Add an item to the top
    • pop : Remove an item from the top
graph TD A[Stack] --> B[Linear Data Structure] A --> C[LIFO Principle] A --> D[Fundamental Operations] D --> E[Push] D --> F[Pop] E --> G[Add item to top] F --> H[Remove item from top]
Real-world analogy
  • Single-lane road with a dead-end
  • Cars enter and exit from one end
  • Fifth car to enter is the first one to leave
  • Last car in is the first car out

Queue

  • A linear data structure
  • Follows FIFO (First In, First Out) principle
  • Primary operations:
    • enqueue : Add an item to the end
    • dequeue : Remove an item from the front
graph TD A[Queue] --> B[Linear Data Structure] A --> C[FIFO Principle] A --> D[Primary Operations] D --> E[Enqueue] D --> F[Dequeue] E --> G[Add item to end] F --> H[Remove item from front]
Real-world analogy
  • People waiting in line to buy tickets
  • First person to join is the first one served
  • Elements leave in the order they were added

basic syntax

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Basic Syntax in C Programming

Simple C Program Example

#include 

int main() {
   // This is a comment, it is for readability and is ignored by the compiler
   printf("Hello, World!"); // Print "Hello, World!" to the terminal
   return 0; // Exit status of the program
}

Key Elements of the Program

  • #include : Includes Standard Input Output library
  • int main() : Entry point of the program
  • Curly braces {} : Enclose the body of the main() function
graph TD A["#include "] --> B["int main()"] B --> C["{"] C --> D["Program Body"] D --> E["}"]

Comments in C

  • Non-executable parts of the program
  • Single-line: //
  • Multi-line: /* ... */

Functions and Statements

  • printf : Outputs "Hello, World!" to the screen
  • return 0; : Ends the main function, indicating successful execution

Expanding the Basic Structure

  • Include other libraries
  • Add more functions and statements

Syntax rules must be followed for the code to compile and run correctly.

graph TD A[Expanding the Basic Structure] --> B[Include other libraries] A --> C[Add more functions and statements] A --> D[Syntax rules] D --> E[Must be followed] E --> F[For code to compile] E --> G[For code to run correctly]

variables

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Variables in C Programming Language

  • Variables are basic data structures for storing data in C.
  • Comparable to capacitors in electronics that store and release electrical charge.
  • Variable: A name given to a memory location where data is stored.
  • Each variable has a specific type.
    • Type determines memory size, layout, range of values, and operations available.
graph TD A[Variable] --> B[Name] A --> C[Memory Location] A --> D[Data Storage] A --> E[Type] E --> F[Determines] F --> G[Memory Size] F --> H[Memory Layout] F --> I[Range of Values] F --> J[Available Operations]

Declaring Variables

  • Telling the compiler to reserve space in memory for the variable.
int number;

This declares number as an integer variable, capable of storing an integer.

Assigning Values

  • Specify the value of a variable using the = operator.
number = 10;

The variable number now holds the value 10 .

Declaration and Initialization

  • Declare and assign a value in one line:
int number = 10;

The variable number is declared and initialized to 10 .

  • Variable values can be modified during execution.
number = 20; // The value of 'number' is now changed to 20
  • Variable type determines the kind of data stored.
  • For decimal numbers, use float or double :
float decimalNumber = 3.14;
  • Variables are building blocks for more complex data structures:
    • Arrays
    • Linked lists
    • Stacks
    • Queues

These topics can be found in the "Concept of Data Structures" section.

graph TD A[Variables] --> B[Building Blocks] B --> C[Complex Data Structures] C --> D[Arrays] C --> E[Linked Lists] C --> F[Stacks] C --> G[Queues] H[Concept of Data Structures] --> C

data types

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C Programming Data Types

  • Data types are fundamental concepts in C programming.
  • Define type and size of data associated with variables.
  • Determine type of value a variable can hold and operations that can be performed on it.

Primary (Basic) Data Types

  • int : To store integers.
  • float : For single-precision floating-point numbers.
  • double : For double-precision floating-point numbers.
  • char : To store individual characters.
graph TD A[Primary Data Types] B[int] C[float] D[double] E[char] A --> B A --> C A --> D A --> E B --> F[Integers] C --> G[Single-precision
floating-point] D --> H[Double-precision
floating-point] E --> I[Individual
characters]

Derived Data Types

  • Array: Collection of elements of the same type.
  • Pointer: Stores memory address of another variable.
  • Structure: Group different types of variables under a single name.
  • Union: Stores different data types in the same memory location.
graph TD A[Derived Data Types] B[Array] C[Pointer] D[Structure] E[Union] A --> B A --> C A --> D A --> E B --> B1[Collection of elements of the same type] C --> C1[Stores memory address of another variable] D --> D1[Group different types of variables under a single name] E --> E1[Stores different data types in the same memory location]

Enumeration Data Type

  • enum : Defines a set of named integer constants.

Void Data Type

  • void : Represents the absence of type.
  • Each primary data type consumes a certain amount of memory.
  • Memory size can vary depending on computer architecture.
  • int typically uses 4 bytes (32 bits).
  • Range of signed int : `-2,147,483,648 to 2,147,483,647`.

Example Code


#include 

int main() {
    int integerVar = 10;              // An integer variable
    float floatVar = 3.14f;           // A float variable
    double doubleVar = 3.1415926535;  // A double variable
    char charVar = 'A';               // A character variable

    printf("Integer variable: %d\n", integerVar);
    printf("Float variable: %f\n", floatVar);
    printf("Double variable: %lf\n", doubleVar);
    printf("Character variable: %c\n", charVar);

    return 0;
}
  • Output will display the values of the declared variables.
  • Important to choose correct data type based on the range of values and operations.

operators

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Operators in C Programming

  • Symbols that perform operations on operands
  • Construct expressions for values, computations, and data manipulation

Types of Operators in C

1. Arithmetic Operators

  • +
  • -
  • *
  • /
  • %

2. Relational Operators

  • ==
  • !=
  • >
  • <
  • >=
  • <=

3. Logical Operators

  • &&
  • ||
  • !
graph TD A[Logical Operators] B[&&] C[||] D[!] A --> B A --> C A --> D B[AND] C[OR] D[NOT]

4. Bitwise Operators

  • &
  • |
  • ^
  • ~
  • <<
  • >>
graph LR A[Bitwise Operators] A --> B[&] A --> C[|] A --> D[^] A --> E[~] A --> F[<<] A --> G[>>]

5. Assignment Operators

  • = (Simple assignment)
  • += (Add and assign)
  • -= (Subtract and assign)
  • *= (Multiply and assign)
  • /= (Divide and assign)
  • %= (Modulus and assign)

6. Increment and Decrement Operators

  • ++ (Increment)
  • -- (Decrement)

7. Conditional (Ternary) Operator

  • ?: (Conditional expression)

8. Comma Operator

  • , (Comma)

9. sizeof Operator

  • sizeof (Size of)

10. Pointer Operators

  • & (Address-of operator)
  • * (Pointer or indirection operator)

Example Demonstrating Operators


#include 

int main() {
    int a = 5, b = 2;
    int addition, subtraction, multiplication, division, modulus;
    int increment, decrement;
    int relational, logical;
    
    // Arithmetic operations
    addition = a + b;           // addition is 7
    subtraction = a - b;        // subtraction is 3
    multiplication = a * b;     // multiplication is 10
    division = a / b;           // division is 2 (since both are integers)
    modulus = a % b;            // modulus is 1 (remainder of division)
    
    // Increment and Decrement
    increment = ++a;            // 'a' is increased to 6, increment is 6
    decrement = --b;            // 'b' is decreased to 1, decrement is 1
    
    // Relational operation (just one example)
    relational = a > b;         // Will be 1 (true) because 6 is greater than 1
    
    // Logical operation (using the result of the relational operation)
    logical = relational && (b == 1);  // Will be 1 (true)
    
    printf("Addition: %d\n", addition);
    printf("Subtraction: %d\n", subtraction);
    printf("Multiplication: %d\n", multiplication);
    printf("Division: %d\n", division);
    printf("Modulus: %d\n", modulus);
    printf("Increment: %d\n", increment);
    printf("Decrement: %d\n", decrement);
    printf("Relational (a > b): %d\n", relational);
    printf("Logical ((a > b) && (b == 1)): %d\n", logical);
    
    return 0;
}

Basics of digital and analog signals

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Digital and Analog Signals in Electronics

  • Digital and analog signals represent different methods of transmitting information.

Analog Signals

  • Continuous waves varying in amplitude or frequency over time.
  • Represent an infinite number of states within a range.
  • Similar to natural phenomena e.g., sound waves, light intensity.
  • Susceptible to noise and degradation over distance.
  • Example: Microphone voltage levels translating to sound waves.
graph TD A[Analog Signals] A --> B[Continuous Waves] A --> C[Infinite States] A --> D[Natural Phenomena] A --> E[Susceptible to Noise] A --> F[Example] B --> B1[Varying Amplitude] B --> B2[Varying Frequency] C --> C1[Within a Range] D --> D1[Sound Waves] D --> D2[Light Intensity] E --> E1[Degradation over Distance] F --> F1[Microphone Voltage Levels] F1 --> F2[Translating to Sound Waves]

Digital Signals

  • Consist of discrete values, typically binary (0s and 1s).
  • Each bit represents a state (on/off, high/low, true/false).
  • Finite number of states but less susceptible to noise.
  • Reliable for long-distance transmission.
  • Example: Digital clock jumps between numbers without smooth transitions.
graph TD A[Digital Signals] B[Discrete Values] C[Binary Representation] D[Finite States] E[Noise Resistance] F[Long-Distance Transmission] G[Example: Digital Clock] A --> B A --> C A --> D A --> E A --> F A --> G B --> C C -->|0s and 1s| D D --> E E --> F F --> G

Analog vs. Digital Example in C Programming

  • Analog signals compared to floating-point variables with a range of values.
  • Digital signals compared to boolean variables holding `true` or `false`.

C Code Example


#include 
#include 

// Function to simulate an analog signal for temperature
void readAnalogSignal(float temperature) {
    printf("Current temperature is: %.2f degrees\n", temperature);
}

// Function to simulate a digital signal for a simple LED state
void readDigitalSignal(bool LEDstate) {
    if(LEDstate) {
        printf("LED is ON\n");
    } else {
        printf("LED is OFF\n");
    }
}

int main() {
    float temperatureExample = 23.5; // Example of an analog signal
    bool LEDstateExample = true;      // Example of a digital signal

    readAnalogSignal(temperatureExample); // Outputs: Current temperature is: 23.50 degrees
    readDigitalSignal(LEDstateExample); // Outputs: LED is ON

    return 0;
}

Explanation of the Example

  • `temperatureExample` represents an analog signal with a wide range of values.
  • `LEDstateExample` represents a digital signal with two possible states: on or off.

fundamentals of circuits

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Discussion on the Fundamentals of Circuits

  • Basic concepts underpinning electronic circuits.
  • Components like resistors, capacitors, inductors, diodes, and transistors.
  • Interconnected by conductive wires or traces.
  • Primary goal: Accomplish specific functions such as amplification, data processing, or energy conversion.
graph TD A[Electronic Circuits] B[Components] C[Interconnections] D[Functions] A --> B A --> C A --> D B --> B1[Resistors] B --> B2[Capacitors] B --> B3[Inductors] B --> B4[Diodes] B --> B5[Transistors] C --> C1[Conductive Wires] C --> C2[Traces] D --> D1[Amplification] D --> D2[Data Processing] D --> D3[Energy Conversion]

Foundational Concepts

  • Voltage (V): Electric potential difference measured in volts (V).
  • Current (I): Flow of electric charge measured in amperes (A).
  • Resistance (R): Opposition to the flow of charge measured in ohms (Ω).

Ohm's Law

A key relationship between voltage, current, and resistance.

`V = IR`

Current is directly proportional to voltage and inversely proportional to resistance.

Series Circuits

  • Same current flows through each component.
  • Total resistance: `R_{total} = R_1 + R_2 + ... + R_n`.
  • Total voltage: `V_{total} = V_1 + V_2 + ... + V_n`.

Parallel Circuits

  • Total current is the sum of currents through each component.
  • Voltages across each component are the same and equal to the supply voltage.
  • Reciprocal of total resistance: `\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n}`.
graph TD A[Parallel Circuits] B[Current] C[Voltage] D[Resistance] E["I_total = I_1 + I_2 + ... + I_n"] F["V_1 = V_2 = ... = V_n = V_supply"] G["1/R_total = 1/R_1 + 1/R_2 + ... + 1/R_n"] A --> B A --> C A --> D B --> E C --> F D --> G

Power (P)

Work done by an electric current measured in watts (W).

  • Calculated using the formula `P = VI` or `P = I^2R` or `P = \frac{V^2}{R}`.

Understanding these fundamentals helps in designing and analyzing circuits.

Crucial for creating devices from simple flashlights to complex computers.

Useful for bridging understanding of abstract concepts in electronics and data structures in C.

Ohm's law

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Ohm's Law

Understanding the fundamental concept in electronics describing the relationship between voltage, current, and resistance.

graph TD A[Ohm's Law] --> B[Voltage (V)] A --> C[Current (I)] A --> D[Resistance (R)] E[V = I * R] --> B E --> C E --> D F[Applications] --> G[Circuit Design] F --> H[Power Calculations] F --> I[Troubleshooting] A --> E A --> F
  • Ohm's Law equation:
`$$ V = IR $$`
  • \( V \): Voltage across the resistor (volts, V).
  • \( I \): Current flowing through the resistor (amperes, A).
  • \( R \): Resistance of the resistor (ohms, Ω).

Key principle:

  • Current through most conductors is directly proportional to the applied voltage, with resistance as the constant.
  • Temperature must remain constant.

Example Calculation:

  • Given:
    • Resistance, \( R = 5 \: Ω \)
    • Voltage, \( V = 10 \: V \)
  • Current through the resistor:
`$$ I = \frac{V}{R} = \frac{10 \: V}{5 \: Ω} = 2 \: A $$`

Solving for Voltage:

  • Use Ohm's Law:
`$$ V = I \times R $$`

Analogous to C Programming:

  • Variables: Similar to resistor values storing specific data.
  • Operations: Manipulate variables like applying voltage affects current.
  • Data types: Dictate operations just like resistor materials dictate resistance.
graph LR A[Analogous to C Programming] B[Variables] C[Operations] D[Data types] E[Resistor values] F[Applying voltage] G[Resistor materials] A --> B A --> C A --> D B --> E[Similar to resistor values
storing specific data] C --> F[Manipulate variables like
applying voltage affects current] D --> G[Dictate operations like
resistor materials dictate resistance]

Key Takeaway:

  • Understanding voltage, current, and resistance relationships is crucial for analyzing circuits.
  • Likewise, understanding variable interactions and operations is essential for efficient C programming.

Kirchhoff's law

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Kirchhoff's laws

  • Fundamentals for understanding circuit behavior.
  • Two types:
    • Kirchhoff's Current Law (KCL)
    • Kirchhoff's Voltage Law (KVL)

Kirchhoff's Current Law (KCL)

  • States the total current entering a junction equals the total current leaving.
  • Based on conservation of charge.

The mathematical representation:

`$$ \sum I_{\text{in}} = \sum I_{\text{out}} $$`
graph TD A[Kirchhoff's Current Law] B[Total Current Entering] C[Total Current Leaving] D[Conservation of Charge] E[Mathematical Representation] A --> B A --> C A --> D A --> E E --> F["∑I_in = ∑I_out"] style A fill:#f9d5e5,stroke:#333,stroke-width:2px style E fill:#e3f2fd,stroke:#333,stroke-width:2px style F fill:#e8f5e9,stroke:#333,stroke-width:2px

Kirchhoff's Voltage Law (KVL)

  • States the sum of all voltage differences in any closed network is zero.
  • Based on conservation of energy.

The mathematical representation:

`$$ \sum V = 0 $$`

KVL Example

Consider a closed circuit loop:

  • Battery with voltage \( V_1 \)
  • Resistor with resistance \( R_1 \), current \( I \)
  • Another resistor with resistance \( R_2 \)

According to KVL:

`$$ V_1 = IR_1 + IR_2 $$`

Where:

  • \( V_1 \): Voltage from battery
  • \( IR_1 \): Voltage drop across \( R_1 \)
  • \( IR_2 \): Voltage drop across \( R_2 \)

Voltage drops equal supplied voltage \( V_1 \) since energy is conserved.

Importance of Kirchhoff's Laws in Electronics

  • Analyzes complex circuits by breaking them into loops and junctions.
  • Solves for unknown values like current and voltage.

Kirchhoff's Laws in Data Structures Context

  • Analogous to solving complex problems in data structures.
  • Breaks problems into smaller, manageable components.
  • Similar to nodes in a linked list or children in a tree structure.
Here's the Mermaid JS code for the given text: graph TD A[Kirchhoff's Laws in Data Structures Context] B[Breaks problems into smaller, manageable components] C[Analogous to solving complex problems in data structures] D[Similar to nodes in a linked list or children in a tree structure] A --> B A --> C A --> D

Quiz

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Question 1/2

Which of the following statements about a simple electronic circuit is correct?

Question 2/2

Which of the following statements correctly represents Kirchhoff's Voltage Law (KVL)?