Hello World¶

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nulla et euismod nulla. Curabitur feugiat, tortor non consequat finibus, justo purus auctor massa, nec semper lorem quam in massa.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nulla et euismod nulla. Curabitur feugiat, tortor non consequat finibus, justo purus auctor massa, nec semper lorem quam in massa.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nulla et euismod nulla. Curabitur feugiat, tortor non consequat finibus, justo purus auctor massa, nec semper lorem quam in massa.

Lorem ipsum dolor sit amet, (1) consectetur adipiscing elit.

1. I'm an annotation! I can contain code, formatted text, images, ... basically anything that can be expressed in Markdown.

Lorem ipsum dolor sit amet, (1) consectetur adipiscing elit.

1. I'm an annotation! (1)

   1. I'm an annotation as well!

1. I'm an annotation!
2. I'm an annotation as well!

1. I'm an annotation!

#include <stdio.h>

int main(void) {
  printf("Hello world!\n");
  return 0;
}

#include <iostream>

int main(void) {
  std::cout << "Hello world!" << std::endl;
  return 0;
}

* Sed sagittis eleifend rutrum
* Donec vitae suscipit est
* Nulla tempor lobortis orci

1. Sed sagittis eleifend rutrum
2. Donec vitae suscipit est
3. Nulla tempor lobortis orci

graph LR
  A[Start] --> B{Error?};
  B -->|Yes| C[Hmm...];
  C --> D[Debug];
  D --> B;
  B ---->|No| E[Yay!];

sequenceDiagram
  autonumber
  Alice->>John: Hello John, how are you?
  loop Healthcheck
      John->>John: Fight against hypochondria
  end
  Note right of John: Rational thoughts!
  John-->>Alice: Great!
  John->>Bob: How about you?
  Bob-->>John: Jolly good!

stateDiagram-v2
  state fork_state <<fork>>
    [*] --> fork_state
    fork_state --> State2
    fork_state --> State3

    state join_state <<join>>
    State2 --> join_state
    State3 --> join_state
    join_state --> State4
    State4 --> [*]

classDiagram
  Person <|-- Student
  Person <|-- Professor
  Person : +String name
  Person : +String phoneNumber
  Person : +String emailAddress
  Person: +purchaseParkingPass()
  Address "1" <-- "0..1" Person:lives at
  class Student{
    +int studentNumber
    +int averageMark
    +isEligibleToEnrol()
    +getSeminarsTaken()
  }
  class Professor{
    +int salary
  }
  class Address{
    +String street
    +String city
    +String state
    +int postalCode
    +String country
    -validate()
    +outputAsLabel()
  }

erDiagram
  CUSTOMER ||--o{ ORDER : places
  ORDER ||--|{ LINE-ITEM : contains
  LINE-ITEM {
    string name
    int pricePerUnit
  }
  CUSTOMER }|..|{ DELIVERY-ADDRESS : uses

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    * Sed sagittis eleifend rutrum
    * Donec vitae suscipit est
    * Nulla tempor lobortis orci

=== "Ordered list"

    1. Sed sagittis eleifend rutrum
    2. Donec vitae suscipit est
    3. Nulla tempor lobortis orci

• Nulla et rhoncus turpis. Mauris ultricies elementum leo. Duis efficitur accumsan nibh eu mattis. Vivamus tempus velit eros, porttitor placerat nibh lacinia sed. Aenean in finibus diam.

  • Duis mollis est eget nibh volutpat, fermentum aliquet dui mollis.
  • Nam vulputate tincidunt fringilla.
  • Nullam dignissim ultrices urna non auctor.

• Vivamus id mi enim. Integer id turpis sapien. Ut condimentum lobortis sagittis. Aliquam purus tellus, faucibus eget urna at, iaculis venenatis nulla. Vivamus a pharetra leo.

  1. Vivamus venenatis porttitor tortor sit amet rutrum. Pellentesque aliquet quam enim, eu volutpat urna rutrum a. Nam vehicula nunc mauris, a ultricies libero efficitur sed.

  2. Morbi eget dapibus felis. Vivamus venenatis porttitor tortor sit amet rutrum. Pellentesque aliquet quam enim, eu volutpat urna rutrum a.

     1. Mauris dictum mi lacus
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Lorem ipsum dolor sit amet

Sed sagittis eleifend rutrum. Donec vitae suscipit est. Nullam tempus tellus non sem sollicitudin, quis rutrum leo facilisis.

Cras arcu libero

Aliquam metus eros, pretium sed nulla venenatis, faucibus auctor ex. Proin ut eros sed sapien ullamcorper consequat. Nunc ligula ante.

Duis mollis est eget nibh volutpat, fermentum aliquet dui mollis. Nam vulputate tincidunt fringilla. Nullam dignissim ultrices urna non auctor.

• Lorem ipsum dolor sit amet, consectetur adipiscing elit
• Vestibulum convallis sit amet nisi a tincidunt
  • In hac habitasse platea dictumst
  • In scelerisque nibh non dolor mollis congue sed et metus
  • Praesent sed risus massa
• Aenean pretium efficitur erat, donec pharetra, ligula non scelerisque

The homomorphism \(f\) is injective if and only if its kernel is only the singleton set \(e_G\), because otherwise \(\exists a,b\in G\) with \(a\neq b\) such that \(f(a)=f(b)\).

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