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Student Copilot.

One tab to learn, complete assignments, and study for exams — in half the time.

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Competition Victories

Microsoft Generative AI Hackathon Winner

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A global Microsoft hackathon focused on using Azure AI to create revolutionary multimodal experiences.

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Microsoft AI Classroom Hackathon Winner

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A Microsoft challenge for students to reimagine the future of education using Azure AI and Azure Databases.

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Vanderbilt AI Showcase Winner

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Vanderbilt's annual AI showcase where students present their AI projects to industry professionals and faculty.

Vanderbilt DSI

VandyHacks X Winner

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Vanderbilt's annual hackathon where students compete for 36 hours to build the most innovative software applications.

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UNSW Hult Prize People's Award Winner

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UNSW's annual prize for students to build the most innovative AI solutions.

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Microsoft Generative AI Hackathon Winner

Icon

A global Microsoft hackathon focused on using Azure AI to create revolutionary multimodal experiences.

View Devpost

Microsoft AI Classroom Hackathon Winner

Icon

A Microsoft challenge for students to reimagine the future of education using Azure AI and Azure Databases.

View Devpost

Vanderbilt AI Showcase Winner

Icon

Vanderbilt's annual AI showcase where students present their AI projects to industry professionals and faculty.

Vanderbilt DSI

VandyHacks X Winner

Icon

Vanderbilt's annual hackathon where students compete for 36 hours to build the most innovative software applications.

View Devpost

UNSW Hult Prize People's Award Winner

Icon

UNSW's annual prize for students to build the most innovative AI solutions.

Learn More

Microsoft Generative AI Hackathon Winner

Icon

A global Microsoft hackathon focused on using Azure AI to create revolutionary multimodal experiences.

View Devpost

Microsoft AI Classroom Hackathon Winner

Icon

A Microsoft challenge for students to reimagine the future of education using Azure AI and Azure Databases.

View Devpost

Vanderbilt AI Showcase Winner

Icon

Vanderbilt's annual AI showcase where students present their AI projects to industry professionals and faculty.

Vanderbilt DSI

VandyHacks X Winner

Icon

Vanderbilt's annual hackathon where students compete for 36 hours to build the most innovative software applications.

View Devpost

UNSW Hult Prize People's Award Winner

Icon

UNSW's annual prize for students to build the most innovative AI solutions.

Learn More

Microsoft Generative AI Hackathon Winner

Icon

A global Microsoft hackathon focused on using Azure AI to create revolutionary multimodal experiences.

View Devpost

Microsoft AI Classroom Hackathon Winner

Icon

A Microsoft challenge for students to reimagine the future of education using Azure AI and Azure Databases.

View Devpost

Vanderbilt AI Showcase Winner

Icon

Vanderbilt's annual AI showcase where students present their AI projects to industry professionals and faculty.

Vanderbilt DSI

VandyHacks X Winner

Icon

Vanderbilt's annual hackathon where students compete for 36 hours to build the most innovative software applications.

View Devpost

UNSW Hult Prize People's Award Winner

Icon

UNSW's annual prize for students to build the most innovative AI solutions.

Learn More

Features

Digital-Native Learning

Follow organized content paths to finish studying faster than ever. Learning modules are delivered in short-form, so studying feels as easy as scrolling.

Graphs

Directed vs. Undirected Graphs

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A graph is undirected if edge (v1,v2)E(v_1, v_2) \in E implies edge (v2,v1)E(v_2, v_1) \in E. Otherwise, the graph is directed.

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In a directed graph, edges have a direction, indicated by an arrow.

True/False

True or False: In an undirected graph, if there is an edge from vertex AA to vertex BB, there must also be an edge from vertex BB to vertex AA.

Multiple Choice

Which type of graph has edges with directions?

Directed vs. Undirected Graphs

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Fill the Blank

A graph is undirected if edge (v1,v2)E(v_1, v_2) \in E implies edge (v2,v1)(v_2, v_1) is also E\in E. Otherwise, the graph isDrop a word here.

Matching

Drop a word here

A graph where each edge is bidirectional

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A graph where edges have a direction

Short Answer

What is the main difference between an undirected and a directed graph?

Directed vs. Undirected Graphs

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Long Form

Given a directed graph ( G = (V, E) ) with vertices {A, B, C, D} and edges {(A, B), (B, C), (C, D), (D, A), (A, C)}, convert this graph into an undirected graph. Explain the changes you made and discuss how the properties of the graph (such as connectivity and degree of vertices) are affected.

Directed vs. Undirected Graphs

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Grounded in Your Materials

Centralize your school files to ground your copilot. Connect concepts from your lectures, assignments, and tests to your notes.

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Personalized in Real Time

ChatEDU improves as you interact. Your engagements will continuously inform the content you encounter, ensuring you always see the most helpful information.

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