# 2-EXPTIME

In computational complexity theory, the complexity class 2-EXPTIME (sometimes called 2-EXP) is the set of all decision problems solvable by a deterministic Turing machine in O(22p(n)) time, where p(n) is a polynomial function of n. In terms of DTIME, We know P ⊆ NP ⊆ PSPACE ⊆ EXPTIME ⊆ NEXPTIME ⊆ EXPSPACE ⊆ 2-EXPTIME ⊆ ELEMENTARY. 2-EXPTIME can also be reformulated as the space class AEXPSPACE, the problems that can be solved by an alternating Turing machine in exponential space. This is one way to see that EXPSPACE ⊆ 2-EXPTIME, since an alternating Turing machine is at least as powerful as a deterministic Turing machine. 2-EXPTIME is one class in a hierarchy of complexity classes with increasingly higher time bounds. The class 3-EXPTIME is defined similarly to 2-EXPTIME but with a triply exponential time bound . This can be generalized to higher and higher time bounds. (Wikipedia).

What is an Injective Function? Definition and Explanation

An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez

From playlist Functions

What Makes P vs. NP So Hard? (P ≠ EXPTIME, Time Hierarchy, Baker-Gill-Solovay)

There are a lot of unsolved problems in complexity theory, but there are a few things we do know. We look at the Time Hierarchy Theorem, and also why the proof techniques don't transfer to P vs NP. Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen, Zachary Greenber

From playlist P vs NP

NP-Complete Explained (Cook-Levin Theorem)

What makes a problem "harder" than another problem? How can we say a problem is the hardest in a complexity class? In this video, we provide a proof sketch of the Cook-Levin theorem, introducing a critical concept known as NP-completeness. Created by: Cory Chang Produced by: Vivian Liu Sc

From playlist P vs NP

P vs. NP - An Introduction

P vs. NP is one of the greatest unsolved problems. Just what is it, and why is it so important? Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen, Brandon Chen, Elaine Chang, Zachary Greenberg Twitter: https://twitter.com/UBehavior — Extra Resources: hackerdashe

From playlist P vs NP

Definition of an Injective Function and Sample Proof

We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil

From playlist Injective, Surjective, and Bijective Functions

Applications of Extrema of Functions of Two Variables III

This is an example of applications of extrema of functions of two variables. http://mathispower4u.wordpress.com/

From playlist Functions of Several Variables - Calculus

Solve a multi step equation with two variables and distributive property ex 19, –7=3(t–5)–t

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Applying distributive property with a negative one to solve the multi step equation

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Solving Inequalities | Algebra | Maths | FuseSchool

In this video we’re going to look at how to solve inequalities. You should already know what these 4 symbols mean. Inequalities are used throughout life. Anytime that there are a range of values possible, inequalities are involved rather than an equals sign. Like if you’re calculating

From playlist MATHS

Systems of Linear Inequalities

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From playlist ck12.org Algebra 1 Examples

Functions with a Two-Sided Inverse are Bijective

One way to prove that a function is bijective is to find a two-sided inverse function. In this video, we explain why having a two-sided inverse means that a function is a bijection! Subscribe to see more new math videos! Music: OcularNebula - The Lopez

From playlist Functions

Calculus AB Homework 3.1 Derivative Rules

Download Packet: https://goo.gl/5At53F ================================= AP Calculus AB / IB Math SL Unit 3: Derivative Rules Lesson 1: Elementary Derivative Rules =================================

From playlist AP Calculus AB

Lec-15 Solution of a System of Linear Algebraic Equations-Part-5

Lecture series on Numerical Methods and Computation by Prof.S.R.K.Iyengar, Department of Mathematics, IIT Delhi. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist Core - Numerical Methods and Computation

Trig substitution - How to solve?

► My Integrals course: https://www.kristakingmath.com/integrals-course Trigonometric substitution (more affectionately known as trig substitution, or trig sub), is another integration method you can use to simplify integrals. It’s like u-substitution, integration by parts, or partial frac

From playlist Integrals

Surds (Part 6) Rationalising the Denominator 2 - 10 Minute Maths Series | GCSE Maths Tutor

A video revising the techniques and strategies for rationalising harder fractions with surds. These are the calculators that I recommend: Casio fx-83GTX Scientific Calculator, Black - https://amzn.to/2P2cyGG Casio Fx-991ex Scientific Calculator Fx 991 Ex - New + 552 Function - Classwiz -

From playlist GCSE Maths Videos

C1 Surds and Indicies AS Level Maths revision Exam paper practice & help

Edexcel C1 Surds and Indicies AS Level Maths revision Exam paper practice & help. AS - C1 playlist - https://www.youtube.com/playlist?list=PL2De0DVeFj3VVisruoDveJ_5U_2PAZb9k 21 Exam questions that take you through all the types of questions on this topic at this level. Here is a link to th

From playlist C1 Edexcel AS Maths Exam paper practice questions.

Calculus AB Homework 3.2 The Product Rule

Download Packet: https://goo.gl/5At53F ================================= AP Calculus AB / IB Math SL Unit 3: Derivative Rules Lesson 2: The Product Rule =================================

From playlist AP Calculus AB

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