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Algorithmic Lower Bounds: Fun with Hardness Proofs
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6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs is a class taking a practical approach to proving problems can’t be solved efficiently (in polynomial time and assuming standard complexity-theoretic assumptions like P ≠ NP). The class focuses on reductions and techniques for proving problems are computationally hard for a variety of complexity classes. Along the way, the class will create many interesting gadgets, learn many hardness proof styles, explore the connection between games and computation, survey several important problems and complexity classes, and crush hopes and dreams (for fast optimal solutions).

Subject:
Applied Science
Computer Science
Engineering
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Demaine, Erik
Date Added:
09/01/2014
Arabic Level 3, Activity 02: "At home / في البيت" (Face-to-Face/Online)
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CC BY-NC-SA
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In this activity, students will be practicing the home vocabulary with a special focus on how they would use the verbs, استطيع، اعود. They will be having a small discussion with each other asking and answering questions.Can-Do Statements:I recognize most of the “Home” vocabulary to describe my home.I can use both verbs اسْتَطَاعَ، عَادَ conjugated with subject pronouns.I can talk about my favorite spot at my home. 

Subject:
Language Education (ESL)
Language, Grammar and Vocabulary
Languages
World Cultures
Material Type:
Activity/Lab
Author:
Sara Bakari
Amber Hoye
Date Added:
03/17/2023
Arabic Level 3, Activity 03: "Talking about Myself&Others / اتكلم عن نفسي والآخرين" (Face-to-Face/Online)
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CC BY-NC-SA
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In this activity, students will be practicing how to talk about themselves after reviewing the possessive pronouns, and then they will read a character card and share information about them.Can-Do Statements:I can talk about myself with a friend/classmate.I can ask and answer questions about work and my favorite activities.I can share my hobby/work/where I live with someone.

Subject:
Language Education (ESL)
Language, Grammar and Vocabulary
Languages
World Cultures
Material Type:
Activity/Lab
Author:
Sara Bakari
Amber Hoye
Date Added:
03/17/2023
Chess 101
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CC BY-NC-SA
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Students will take active roles in learning the game of chess and improving their skills, ability, and knowledge of the game. Students will read the course material, complete practice drills for each module, complete and submit all assessments and submit properly recorded (notated) games that they played. Course content includes: rules, strategy, tactics and algebraic notation (the 'language' of chess).

Subject:
Mathematics
Material Type:
Full Course
Date Added:
08/31/2012