How to optimize a function on a closed interval [a,b]

Views: 104
Mathematics for cegep students

I describe how global optimization methods based on interval arithmetic can be used for solving a variety of problems in computational geometry, including the detection of parametric geometric primitives, geometric point matching, and maximum empty rectangle problems.┬á These techniques can be viewed as extensions of previous work on branch-and-bound based geometric matching techniques, but they are applicable to a wider range of problems, guarantee reliable solutions even in the presence of numerical roundoff errors, and permit the use of better optimization strategies.┬á I discuss some applications of these techniques to geometric problems arising in document layout analysis.

Views: 128
Microsoft Research

Given a function and an interval, we can determine whether or not that function has a global maximum and a global minimum on that interval. If the function is continuous and the interval is closed, then the Extreme Value Theorem guarantees that both the max and min will exist. If the function is not continuous or the interval is not closed, then we may not actually achieve a maximum or minimum value.

Views: 593
DrBrainWalton

Optimization by Prof. A. Goswami & Dr. Debjani Chakraborty,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in

Views: 9708
nptelhrd

Topics that will be addressed include:
1. Why global optimization
2. Discussion of properties response surface
3. Deterministic methods for global optimization: Branch and bound and interval methods
4. Stochastic methods for global optimization: Simulated annealing (SA) and Monte Carlo simulation ( sampling )
5. (Meta)heuristics for global optimization
6. Evolutionary methods: Darwinian principles, survival of the fittest, chromosomes, genes, DNA, binary string, decimal values.
7. Genetic algorithms
8. Differential Evolution (DE)
9. Shuffled Complex Evolution method (SCE-UA)
10. AMALGAM methods ( Recent developments )

Views: 535
Jasper Vrugt

This calculus video tutorial shows you how to find the intervals where the function is increasing and decreasing, the critical points or critical numbers, relative extrema such as local minimum and local maximum values using the first derivative test, concavity, and inflection points using the second derivative. This video contains plenty of examples and practice problems for you to work on.
Here is a list of topics:
1. Increasing and Decreasing Intervals of a Function - Interval Notation
2. First Derivative Test - Local Extrema - Relative Min and Max Using Sign Chart on a Number Line
3. First Derivative is Positive When the Function Is increasing. Slope is negative when the function is decreasing
4. Critical points - f'(c)=0 or does not exist
5. How to find the critical numbers of a function
6. Finding the Second Derivative of a Function
7. How to find the intervals when the function is concave up and concave down
8. How to determine the points of inflection using the second derivative
9. Inflection Point occur when Concavity changes sign
10. Graphical Examples of Increasing and Decreasing Functions
11. Shape of Curve / Graph - Concave Up & Concave down
12. First and Second Derivative Techniques - Power Rule, Product Rule, Quotient Rule and Chain Rule

Views: 164359
The Organic Chemistry Tutor

شرح عن Constrained Optimization مع مثالين house prices
Farmer الجزء الأول https://youtu.be/XLaw63QdagQ
ال slides و البرامج موجودين على https://github.com/kaya2016/My-Youtube-tutorial/tree/master/CIM

Views: 169
karam daaboul

This calculus video tutorial explains how to find the absolute minimum and maximum values as well as the local max and local min. It explains the extreme value theorem for finding absolute extrema and discusses the first derivative test to identify relative maximum and minimum values using a sign chart on a number line. It also discusses how to find the critical points or critical numbers of a function. This video contains plenty of examples and difficult / hard practice problems.
Here is a list of topics:
1. Absolute Extrema - Absolute Max and Min on a Closed Interval
2. Extreme Value Theorem
3. Graphical Examples With Open and Closed Endpoints / Circles
4. Cusps, Parabola, Vertical Asymptote and Unbounded Behavior
5. How to Identify The Critical Points or Critical Numbers of a Function - f'(c)=0 or f'(c) does not exist
6. First Derivative Test - If the slope of the function or the sign of f'(x) changes from negative to positive - it's a local minimum value. If it changes from positive to negative - it's a relative maximum
7. Identify absolute extreme values - max and min on a closed interval using the endpoints a making an x y table of values
8. f'(c)=0 at local max and local min - slope of horizontal tangent line is zero
9. Identifying Relative Extrema Graphically and Analytically
10. Local Max and Min of Quadratic Functions, Cubic Polynomial Functions, Square Root Functions, Cusp, Exponential Fractions, and Rational Functions
11. Using a Sign Chart on a Number line to identify the relative extreme values
12. Absolute Extrema - Local Minima and Relative Maxima
13. Techniques of Differentiation - Power Rule, Product Rule, Quotient Rule, and Chain Rule Derivatives

Views: 141388
The Organic Chemistry Tutor

Sal introduces the "critical points" of a function and discusses their relationship with the extremum points of the function. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/finding-critical-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/v/analyzing-a-function-with-its-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 787906
Khan Academy

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Absolute Maximum/Minimum Values of Multivariable Functions that are continuous on a closed boundary - Part 1 of 2

Views: 445283
patrickJMT

2 examples of finding the maximum and minimum points on an interval.

Views: 544559
Khan Academy

Visit http://julialang.org/ to download Julia.

Views: 1031
The Julia Language

The Extreme Value Theorem states that if a function in continuous on a closed interval [a,b], then the function must have a maximum and a minimum on the interval. This makes sense: when a function is continuous you can draw its graph without lifting the pencil, so you must hit a high point and a low point on that interval. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/conditions-for-ivt-and-evt-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/intermediate-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 328343
Khan Academy

This talk was delivered on Sunday, April 30, 2017.

Views: 336
Harvard Math

Views: 7957
Design and Analysis of Algorithms

This calculus video tutorial explains how to find the local maximum and minimum values of a function. In order to determine the relative extrema, you need to find the first derivative, set it equal to zero, and solve for x which represents the critical numbers of the function. You need to put these numbers on a number line and create a sign chart. According to the first derivative test, if the sign changes from - to +, it's a relative maximum. If it changes from + to -, it's a relative minimum. This video contains plenty of examples and practice problems for you to work on.
Calculus Video Playlist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

Views: 97084
The Organic Chemistry Tutor

I hope you found this video useful, please subscribe for daily videos!
WBM
Foundations: Mathematical logic Set theory
Algebra: Number theory Group theory Lie groups Commutative rings Associative ring theory Nonassociative ring theory Field theory General algebraic systems Algebraic geometry Linear algebra Category theory K-theory Combinatorics and Discrete Mathematics Ordered sets
Geometry Geometry Convex and discrete geometry Differential geometry General topology Algebraic topology Manifolds
Analysis Calculus and Real Analysis: Real functions Measure theory and integration Special functions Finite differences and functional equations Sequences and series Complex analysis Complex variables Potential theory Multiple complex variables Differential and integral equations Ordinary differential equations Partial differential equations Dynamical systems Integral equations Calculus of variations and optimization Global analysis, analysis on manifolds Functional analysis Functional analysis Fourier analysis Abstract harmonic analysis Integral transforms Operator theory Numerical analysis and optimization Numerical analysis Approximations and expansions Operations research
Probability and statistics Probability theory Statistics
Computer Science Computer science Information and communication
Applied mathematics Mechanics of particles and systems Mechanics of solids Fluid mechanics Optics, electromagnetic theory Classical thermodynamics, heat transfer Quantum Theory Statistical mechanics, structure of matter Relativity and gravitational theory Astronomy and astrophysics Geophysics applications Systems theory Other sciences
Category

Views: 2386
WelshBeastMaths

Sal analyzes the absolute minimum and maximum points of g(x)=x_ln(x) over its entire domain.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-abs-extrema/e/extreme-values-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/v/concavity-concave-upwards-and-concave-downwards-intervals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-abs-extrema/v/using-extreme-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 56681
Khan Academy

I hope you found this video useful, please subscribe for daily videos!
WBM
Foundations: Mathematical logic Set theory
Algebra: Number theory Group theory Lie groups Commutative rings Associative ring theory Nonassociative ring theory Field theory General algebraic systems Algebraic geometry Linear algebra Category theory K-theory Combinatorics and Discrete Mathematics Ordered sets
Geometry Geometry Convex and discrete geometry Differential geometry General topology Algebraic topology Manifolds
Analysis Calculus and Real Analysis: Real functions Measure theory and integration Special functions Finite differences and functional equations Sequences and series Complex analysis Complex variables Potential theory Multiple complex variables Differential and integral equations Ordinary differential equations Partial differential equations Dynamical systems Integral equations Calculus of variations and optimization Global analysis, analysis on manifolds Functional analysis Functional analysis Fourier analysis Abstract harmonic analysis Integral transforms Operator theory Numerical analysis and optimization Numerical analysis Approximations and expansions Operations research
Probability and statistics Probability theory Statistics
Computer Science Computer science Information and communication
Applied mathematics Mechanics of particles and systems Mechanics of solids Fluid mechanics Optics, electromagnetic theory Classical thermodynamics, heat transfer Quantum Theory Statistical mechanics, structure of matter Relativity and gravitational theory Astronomy and astrophysics Geophysics applications Systems theory Other sciences
Category

Views: 3546
WelshBeastMaths

Tom Kyte introduces the new partitioning improvements in Oracle Database 12c, followed by a demo of global index maintenance. For more information:
"Asynchronous Global Index Maintenance for Dropping and Truncating Partitions"
http://www.oracle.com/pls/topic/lookup?ctx=db121&id=VLDBG14107
"Changes for Very Large Databases and Partitioning in Oracle Database 12c Release 1"
http://www.oracle.com/pls/topic/lookup?ctx=db121&id=VLDBG14100
"ALTER INDEX COALESCE Clause"
http://www.oracle.com/pls/topic/lookup?ctx=db121&id=SQLRF52782
"DBMS_PART.CLEANUP_GIDX Procedure"
http://www.oracle.com/pls/topic/lookup?ctx=db121&id=ARPLS74409

Views: 14107
OracleDBVision

I hope you found this video useful, please subscribe for daily videos!
WBM
Foundations: Mathematical logic Set theory
Algebra: Number theory Group theory Lie groups Commutative rings Associative ring theory Nonassociative ring theory Field theory General algebraic systems Algebraic geometry Linear algebra Category theory K-theory Combinatorics and Discrete Mathematics Ordered sets
Geometry Geometry Convex and discrete geometry Differential geometry General topology Algebraic topology Manifolds
Analysis Calculus and Real Analysis: Real functions Measure theory and integration Special functions Finite differences and functional equations Sequences and series Complex analysis Complex variables Potential theory Multiple complex variables Differential and integral equations Ordinary differential equations Partial differential equations Dynamical systems Integral equations Calculus of variations and optimization Global analysis, analysis on manifolds Functional analysis Functional analysis Fourier analysis Abstract harmonic analysis Integral transforms Operator theory Numerical analysis and optimization Numerical analysis Approximations and expansions Operations research
Probability and statistics Probability theory Statistics
Computer Science Computer science Information and communication
Applied mathematics Mechanics of particles and systems Mechanics of solids Fluid mechanics Optics, electromagnetic theory Classical thermodynamics, heat transfer Quantum Theory Statistical mechanics, structure of matter Relativity and gravitational theory Astronomy and astrophysics Geophysics applications Systems theory Other sciences
Category

Views: 11900
WelshBeastMaths

Problems seeking a solution that optimizes a designated objective, while satisfying several constraints, are called optimization problems.
The Tamura Group mathematically models optimization problems, using functions, equations, and inequalities to represent objectives and constraints. The Group also works on mathematical programming, which aims to analyze the structures involved in such problems, and to develop algorithms for solving them.
Q "My specialty is called optimization, which is handled numerically, or mathematically.
Conditions affecting problems are written as formulas, and we consider functions called objective functions, which are minimized or maximized.In particular, I study optimization problems that have a discrete structure. A typical kind of problem in this field is the assignment problem. For example, if there's a set of people doing a job, in a model where a certain benefit is obtained if members pair up, the problem is to find which form of pairing - which pair structure -- maximizes the benefit."
As an example of the assignment problem, consider how to maximize profit if several project providers and project contractors pair up. Suppose the project providers are A, B, and C, and the project contractors are "α, β, and γ." Suppose that the profit per unit time when providers and contractors pair up is as given in the figure.
For example, when A and α pair up, the profit is 7. For the three pairs A andγ, B andα, and C and β, which aren't connected by a line, profit is zero. In that case, you can easily check that by pairing A and α, B and β, and C and γ, a total profit of 20 can be obtained, and that no profit greater than 20 can be obtained.
Optimization, which the Tamura Group researches in this way, is a field that's closely related to applications.
The 2012 Nobel Prize for Economics was awarded to Lloyd Shapley and Alvin Roth for creating the theory of stable matchings, which is related to optimization, and for applying it to market design.
The stable matching problem is also one aspect of the Tamura Group's research.
Q "What's interesting about the optimization approach is the idea of clarifying what the current situation and conditions are, and as a separate issue, properly setting the objective, or what you want to do. Then, the task is to find a method to solve that problem, or as we say in mathematics, construct an algorithm, or construct a solution method. I think what's good is, we clearly separate the situation and the objective in the discussion. Recently, we see many situations where discussion has been centered on an a priori solution. This seems wrong to me. Another point is, it is important to understand that in optimization is, you don't know whether the answer that emerges can be used "as is." So, you have to consider carefully, revise your model, and solve the problem again, repeatedly. In that sense, too, I think it's important to be cautious when you choose a response."
The Tamura Group is researching applications to microeconomics and game theory, for example the stable matching problem and the assignment problem. In this way, the Group will focus on advancing optimization, with a view to real-world applications.

Views: 4500
慶應義塾Keio University

Types of Classical Optimization Algorithms
أنواع خوارزميات التحسين الكلاسيكية
Network Methods
- Critical Path Method/Program Evaluation and Review Technique (CPM/PERT)
Game Theory
Programming Family
- Linear Programming:
1) Simplex: Two-Phase Method, and Revised Method
2) Non-Simplex: Khachiyan's Method, Karmarkar's Method, and Affine Scaling Method (Two-Phase Method and Basic Method)
- Integer Programming:
1) Linear: cutting Plane
2) Nonlinear: Integer Polynomial Programming, Sequential Linear Discrete Programming, and Branch-and-Bound (Successive Partitioning)
- Separable Programming
- Dynamic Programming
- Geometric Programming
- Stochastic Programming:
1) Linear
2) Nonlinear
3) Geometric
- Nonlinear Programming [it is distributed as parts in different locations, see below]
===========================
One-Dimensional Search Methods
- Bracketing Methods:
1) Bounding Phase
2) Exhaustive Search
- Region-Elimination Methods:
1) Interval Halving
2) Fibonacci Search
3) Golden Section Search
4) Dichotomous Search
- Point-Estimation Methods:
1) Successive Quadratic
- Gradient-Based Methods
1) Newton-Raphson
2) Bisection
3) Secant
4) False Position
5) Cubic Search
Gradient-Based Methods
- Cauchy's (Steepest Descent) Method
- Gauss-Newton Method
- Levenberg-Marquardt Method
- Solving Ax=b
1) Least-Squares Analysis
2) Recursive Least-Squares Algorithm
3) Solution to Ax=b Minimizing norm ||x||
4) Kaczmarz's Algorithm
5) Gauss Family: Simple Gauss, Gauss-Seidel, Accelerated Gauss Seidel
===========================
Conjugate Gradient-Based Methods
- Linear Conjugate Gradient Methods
1) Conjugate Direction
- Nonlinear Conjugate Gradient Methods
1) Fletcher-Reeves
2) Polak-Ribie're
Quasi-Newton Methods
- Davidon-Fletcher-Powell (DFP) Method
- Symmetric Rank One (SR1) Method
- Symmetric Rank Two (SR2) Method
- Berndt-Hall-Hall-Hausman (BHHH) Method
- Broyden-Fletcher-Goldfarb-Shanno (BFGS) Method
1) Limited Memory BFGS (L-BFGS or LM-BFGS): L-BFGS-B, OWL-QN, and others
Derivative-Free Methods
- Model-Based Methods
- Coordinate and Pattern-Search Methods
- Nelder-Mead Method
Others
=====================================
هذا الدرس هو جزء بسيط من سلسلة الدروس الأساسية في فهم ما هي خوارزميات التحسين Optimization Algorithms:
https://www.youtube.com/watch?v=v5MYtNDNnH0&list=PLQ5InjwnjHuVpoQmvaMVWjsUZ9I9IWuXH
أكاديمية الرومي Al-Roomi Academy
www.al-roomi.org

Views: 11
Al-Roomi Academy

See what's new in the latest release of MATLAB and Simulink: https://goo.gl/3MdQK1
Download a trial: https://goo.gl/PSa78r
Learn how to fit wide variety of Linear Mixed-Effect (LME) models to make statistical inferences about your data and generate accurate predictions in this new webinar. Mixed-effect models are commonly used in econometrics (Panel Data), biostatistics and sociology (Longitudinal Data) where data is collected and summarized in groups. In these cases LME models with nested or crossed factors can fully incorporate group level contextual effects which cannot be accurately modeled by simple linear regression.
Topics covered in this webinar include:
Groups, hierarchy and advantages of LME models
Preparing and organizing your data to fit LME models
Specifying LME models using formula notation and design matrices
Estimating model parameters using maximum likelihood (ML) and restricted maximum likelihood (REML)
Generating confidence intervals on fixed effects, random effects, and covariance parameters
Performing residual diagnostics and model comparison tests using theoretical or simulated likelihood ratio tests
Making predictions on new data using the fitted LME model
About the Presenter: Shashank Prasanna is Product Marketing Manager at the MathWorks focused on MATLAB and add-on products for Statistics, Machine Learning and Data Analytics. His prior experience includes technical support at the MathWorks and software development at Oracle. Shashank holds an M.S. in electrical engineering from Arizona State University.

Views: 4278
MATLAB

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - More Examples Part 1 of 3. Here I give the Newton's Method formula and use it to find two iterations of an approximation to a root. I do NOT discuss the geometric idea of Newtons method in this video (I do this in my more viewed video titled simply ' Newton's Method)

Views: 292799
patrickJMT

Views: 133237
ANEESH DEOGHARIA

Views: 1304
WelshBeastMaths

Views: 982
WelshBeastMaths

TradeStation Tutorial on the basics of TradeStation, working with the workspace, local symbol links and global symbol links, radar screen and time intervals.
This video will show you how to setup TradeStation so that your charting windows and radar screen work together to make your user experience better. For this tutorial you will need TradeStation installed already. Learn how to link workspaces via symbols and time intervals.
This is the basics of TradeStation,
Thanks fro watching please subscribe for more helpful videos.
Check out our TradeStation Indicators
http://www.dynamiteindicators.com/tradestation-indicators/

Views: 17371
Dynamite Indicators

For more cool math videos visit my site at http://mathgotserved.com or http://youtube.com/mathsgotserved
For more cool math videos visit my site at http://mathgotserved.com or http://youtube.com/mathsgotserved
The student will investigate derivatives presented in graphic, numerical, and analytic
contexts and the relationship between continuity and differentiability. The derivative will
be defined as the limit of the difference quotient and interpreted as an instantaneous rate
of change.
Mathematics Standards of Learning
60
APC.6 The student will investigate the derivative at a point on a curve. This will include
a) finding the slope of a curve at a point, including points at which the tangent is vertical
and points at which there are no tangents;
b) using local linear approximation to find the slope of a tangent line to a curve at the
point;
c) defining instantaneous rate of change as the limit of average rate of change; and
d) approximating rate of change from graphs and tables of values.
APC.7 The student will analyze the derivative of a function as a function in itself. This will
include
a) comparing corresponding characteristics of the graphs of f, f ', and f ";
b) defining the relationship between the increasing and decreasing behavior of f and the
sign of f ';
c) translating verbal descriptions into equations involving derivatives and vice versa;
d) analyzing the geometric consequences of the Mean Value Theorem;
e) defining the relationship between the concavity of f and the sign of f "; and
f) identifying points of inflection as places where concavity changes and finding points
of inflection.
APC.8 The student will apply the derivative to solve problems. This will include
a) analysis of curves and the ideas of concavity and monotonicity;
b) optimization involving global and local extrema;
c) modeling of rates of change and related rates;
d) use of implicit differentiation to find the derivative of an inverse function;
e) interpretation of the derivative as a rate of change in applied contexts, including
velocity, speed, and acceleration; and
f) differentiation of nonlogarithmic functions, using the technique of logarithmic
differentiation. *
* AP Calculus BC will also apply the derivative to solve problems. This will include
a) analysis of planar curves given in parametric form, polar form, and vector form,
including velocity and acceleration vectors;
b) numerical solution of differential equations, using Euler's method;
c) l'Hopital's Rule to test the convergence of improper integrals and series; and
d) geometric interpretation of differential equations via slope fields and the relationship
between slope fields and the solution curves for the differential equations.
APC.9 The student will apply formulas to find derivatives. This will include
a) derivatives of algebraic, trigonometric, exponential, logarithmic, and inverse
trigonometric functions;
b) derivations of sums, products, quotients, inverses, and composites (chain rule) of
elementary functions;
c) derivatives of implicitly defined functions; and
d) higher order derivatives of algebraic, trigonometric, exponential, and logarithmic,
functions. *
* AP Calculus BC will also include finding derivatives of parametric, polar, and vector
functions

Views: 6326
maths gotserved

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Local Maximum and Minimum Values/ Function of Two Variables.
An outline of the procedure, along with a complete example are shown.
For more free math videos, check out http://PatrickJMT.com
austinmathtutor, austin math tutor, UT math tutor, UT Austin math tutor, austin math tutoring

Views: 612487
patrickJMT

Maximma and minima of a single variable function concept is discussed in this video

Views: 11161
techgurukula

Critical numbers and relative extrema for piecewise functions

Views: 4934
Daniel An

Views: 2932
WelshBeastMaths

Learn how process integration helps Canadian industry achieve energy savings of up to 40% through a global approach-- and how NRCan's free INTEGRATION software can help identify energy saving opportunities.

Views: 1900
RER Energy

PyData London 2018
Using freely-available material from Codecademy's Introduction to Data Analysis intensive, we'll learn the basics of hypothesis testing using SciPy. You’ll practice making mathematically informed decision-making and experimental design used by marketers, social scientists, product managers, and data analysts everywhere.
Slides: https://drive.google.com/file/d/1QLUjutIaDBNd8q_PDlOQdWzRV0tFCVSq/view
---
www.pydata.org
PyData is an educational program of NumFOCUS, a 501(c)3 non-profit organization in the United States. PyData provides a forum for the international community of users and developers of data analysis tools to share ideas and learn from each other. The global PyData network promotes discussion of best practices, new approaches, and emerging technologies for data management, processing, analytics, and visualization. PyData communities approach data science using many languages, including (but not limited to) Python, Julia, and R.
PyData conferences aim to be accessible and community-driven, with novice to advanced level presentations. PyData tutorials and talks bring attendees the latest project features along with cutting-edge use cases.

Views: 2179
PyData

Aerospace Structural Analysis Software Tool
HyperSizer Laminate Allowables & Analysis - Intermediate
HyperSizer is a structural analysis tool with an emphasis on optimization. This software tool can optimize both metallic and composite structures.
I have used Hypersizer for ten years to optimize structures including an Airbus A350 thrust reverser, a Gulfstream horizontal stabilizer and a Global 7000 inner and outer wing flaps. Also, I contributed a significant amount to the development of this tool.
Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for 'fair use' for purpose such as criticism, comment, news,reporting, teaching and research. Fair use is use permitted by copyright statute that might otherwise be infringing. Non profit, educational or personal use tips the balance in favor of fair use.
"String Impromptu Number 1" Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 3.0
http://creativecommons.org/licenses/by/3.0/
"Easy Lemon" Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 3.0
http://creativecommons.org/licenses/by/3.0/

Views: 69
Hitech Global Solutions Inc

http://www.LLVM.org/devmtg/2015-10/
—
A Proposal for Global Instruction Selection - Quentin Colombet, Apple
Slides: http://llvm.org/devmtg/2015-10/slides/Colombet-GlobalInstructionSelection.pdf
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Our existing instruction selection framework, SelectionDAGISel (SDISel), has some fundamental limitations, including, but not limited to, slow compile time, basic block only scope, and monolithic approach. Over the years, we spent a lot of effort to workaround these limitations with more target hooks and more optimizations passes (e.g., CodeGenPrepare, ConstantHoisting) with their own problems (inaccurate heuristic, have to predict what the instruction selector will do, etc.) and limitations.
We believe that it is time to come up with a new instruction selection framework, global-isel, that will solve these problems while offering new opportunities to improve our code generation. In this talk, we will present our plan to bring global-isel to LLVM.
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Videos Filmed & Edited by Bash Films: http://www.BashFilms.com

Views: 1736
LLVM

Most frequent ps command example to monitor linux process and troubleshooting
https://8gwifi.org/docs/linux-ps-commands.jsp
How to Monitoring All Executed Commands in Linux
https://8gwifi.org/docs/linux-monitor-commands.jsp
linux performance tuning commands, uptime,top,mpstat,iostat,vmstat ,free,ping,Dstat Tutorial
Linux性能调整命令，运行时间，顶部，mpstat的，iostat的，vmstat的，免费的，平，Dstat教程
linux Leistungsoptimierung Befehle, uptime, top, mpstat, iostat, vmstat, kostenlos, ping, Dstat Tutorial
uptime - Tell how long the system has been running.
uptime gives a one line display of the following information. The current time, how long the system has been running, how many users are currently logged on, and the system load averages for the past 1, 5, and 15 minutes.
top provides an ongoing look at processor activity in real time. It displays a listing of the most CPU-intensive tasks on the system, and can provide an interactive interface for manipulating processes
The mpstat command writes to standard output activities for each available processor, processor 0 being the first one. Global average activities among all processors are also reported. The mpstat command can be used both on SMP and UP machines, but in the latter, only global average activities will be printed. If no activity has been selected, then the default report is the CPU utilization report.
iostat - The iostat command is used for monitoring system input/output device
loading by observing the time the devices are active in relation to
their average transfer rates.
vmstat reports information about processes, memory, paging, block IO, traps, and cpu activity. The first report produced gives averages since the last reboot
free - display information about free and used memory on the system
ping : ping uses the ICMP protocol's mandatory ECHO_REQUEST datagram to elicit an ICMP ECHO_RESPONSE from a host or gateway
Dstat allows you to view all of your system resources instantly, you can eg. compare disk usage in combination with interrupts from your IDE controller, or compare the network bandwidth numbers directly with the disk throughput (in the same interval)
Top Keyword
linux performance tuning
Linux Performance Tuning and Stabilization Tips
Linux Systems Performance
Linux Performance Issue
RedHat/Ubuntu/Mint: Performance Monitoring Commands
Monitoring Linux

Views: 27606
Zariga Tongy

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Please consider supporting me on Patreon! Be a Patron of Mathematics! https://www.patreon.com/patrickjmt?ty=h
LaGrange Multipliers - Finding Maximum or Minimum Values using Lagrange Multipliers. An outline of the general procedure along with a concrete example are shown. For more free math videos, visit http://PatrickJMT.com

Views: 1180754
patrickJMT

A Google Algorithms Seminar, 4/11/17, presented by Jon Schneider, Princeton University
Talks from visiting speakers on Algorithms, Theory, and Optimization

Views: 2005
GoogleTechTalks

Views: 434
WelshBeastMaths

Here you are shown how to estimate a root of an equation by using interval bisection. We first find an interval that the root lies in by using the change in sign method and then once the interval is found we bisect it and again look for a change in sign to construct a new interval. This process continues until the required accuracy is found.
YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions
EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics.
FACEBOOK: https://www.facebook.com/examsolutions.net/
TWITTER: https://twitter.com/ExamSolutions

Views: 162786
ExamSolutions

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
The first derivative test is the tool you use to test the potential critical points of a function to see whether or not they are actually critical points. You can use the first derivative test to describe the behavior of the function on either side of the critical point. Or, to put it another way, you can use the first derivative test to say whether the function is increasing or decreasing on either side of the critical point.
If you can use the first derivative test to show that the function is increasing on one side of the critical point and decreasing on the other, then by the first derivative test you've proven that the potential critical point is an actual critical point, and therefore that the function has at least a local maximum or local minimum there, if not a global maximum or global minimum.
In order to use the first derivative test, pick values on either side of the critical point, and plug them into the first derivative of the function. If the result is positive, then the function is increasing on that side of the critical point. On the other hand, if the result is negative, then the function is decreasing on that side of the critical point.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
TWITTER // https://twitter.com/KristaKingMath
INSTAGRAM // https://www.instagram.com/kristakingmath/
PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

Views: 89795
Krista King

Graphics Processing Units (GPUs) are an attractive target for graph algorithms because they support massively parallel execution and possess much higher memory bandwidths than CPUs and FPGAs. However, graph programs are also highly irregular and low-level GPU programming models make writing high-performance implementations very challenging. I will present IrGL, an explicitly parallel intermediate representation for irregular algorithms, and its associated compiler that produces optimized CUDA code for NVIDIA GPUs. Evaluated on eight graph algorithms, the IrGL compiler produces code that outperforms all current state-of-the-art handwritten CUDA implementations. To achieve this required recognizing that three optimizations, which we call throughput optimizations, are fundamental to high-performance GPU implementations of graph algorithms. Crucially, all three optimizations are well within the capabilities of a compiler. Graph program performance strongly depends on the inputs, and this makes picking the right set of optimizations very difficult. I will show how combining queuing network models with our compiler has helped to generate sound performance models of graph programs on GPUs and has led us to conclude that a one-size-fits-all approach to optimization not only does not suffice for graph programs, it can actually harm performance.

Views: 681
Microsoft Research

This video lecture "maxima and minima of two variable function in hindi" will help students to understand following topic of unit-II of Mathematics-I(MA110):
1. what two variable function represent graphically?
2. what is maxima and minima of a surface or two variable function
3. How maxima and minima find for any two variable function.
4. two solved problem.
soon we will upload next video.
For any query and feedback, please write us at:
[email protected]
OR call us at: +919301197409

Views: 356316
Bhagwan Singh Vishwakarma