Real life application of Function.
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The document discusses the many uses of functions and calculus across various fields. It notes that functions were initially developed for better navigation systems and are now used in fields like engineering, robotics, computer hardware, vehicle safety, ecosystem modeling, medicine, economics, business, and astronomy. Functions allow modeling relationships between variables and are essential mathematical tools for describing physical systems and solving optimization problems.
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The document provides information about relations and functions:
- It defines key terms like relation, domain, range, ordered pair, and function.
- It explains how to represent relations using ordered pairs, tables, graphs, and mappings.
- It discusses how to determine if a relation is a function using the vertical line test or by checking if each domain value is mapped to only one range value.
- It distinguishes between independent and dependent variables in functional notation.
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In detail and In very simple method That can any one understand.
If you read this all you doubts about function will be clear.
because i have used very simple example and simple English words that you can pick quickly concept about functions.
#inshallah.
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- It explains how to represent relations using ordered pairs, tables, graphs, and mappings.
- It discusses how to determine if a relation is a function using the vertical line test or by checking if each domain value is mapped to only one range value.
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- Constant functions which always output the same number.
- Identity functions where the output is equal to the input.
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The second way of writing set is to use a property that defines elements of the set.
e.g.- {x | x is odd and 0 < x < 100}
If x is an element o set A, it can be written as ‘x A’
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Q- set of all rational numbers
R- set of all real numbers
C- set of all complex numbers
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2. Intersection of sets
3. Complement of the Set
4. Cartesian Product of sets
Union of two given sets is the smallest set which contains all the elements of both the sets.
A B = {x | x A or x B}
Let a and b are sets, the intersection of two sets A and B, denoted by A B is the set consisting of elements which are in A as well as in B
A B = {X | x A and x B}
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1. Union of Sets
2. Intersection of sets
3. Complement of the Set
4. Cartesian Product of sets
Union of two given sets is the smallest set which contains all the elements of both the sets.
A B = {x | x A or x B}
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A B = {X | x A and x B}
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A function is a relation between a set of inputs (domain) and set of outputs (codomain) where each input is mapped to exactly one output. There are different types of functions such as one-to-one, onto, bijective, many-to-one, and inverse functions. Functions can be represented graphically or using function notation such as f(x). Common functions include polynomial, trigonometric, exponential, logarithmic, and composite functions which are the composition of two simpler functions.
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IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
Ziegler nichols pid controller for effective pay-load torque responses and ti...
Abstract Robotic Technology is an imitation for human being’s. It is an electro mechanical modelling objects are important aspect of manipulator. A Manipulator is a machine able to drive the robot. This paper describes and investigates on effective pay-load torque responses, tip-vibrations. This paper presents modelling and simulation of the double link manipulator using the proposed PID Controller. Here the proposed Ziegler-Nichols proportional–integral–derivative controller (PID controller) initiates more advantageous in the view of better performance and flexible operation of manipulator. First, the electro mechanical object was modeled and simulated using State space technique. Here the torque responses and end tip vibrations are assigned by state space variables. The entire two link manipulator topology was investigated and modeled, simulated. The proposed control strategy carries a back –back feed forward controller can be used for flexible operation of manipulator. Here, the simulation was done by using M-File Technique in Control tool box of MATLAB. Keywords: Double Link Manipulator, Ziegler-Nichols PID Controller, Pay-Load Torque Responses, Tip-Vibrations, State space technique, back –back feed forward controller
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aiNew.pptx
This document provides an overview of different types of agents and their environments in artificial intelligence. It describes 6 types of agents: 1) Table-lookup agents that use a percept/action table. 2) Simple reflex agents that select actions based only on the current percept. 3) Model-based reflex agents that have internal state to track past world states. 4) Goal-based agents that consider future events to achieve goals using problem solving and search. 5) Utility-based agents that use a utility function to optimize between goals and likelihoods of success. 6) Learning agents that adapt and improve over time based on experiences. Each type increases in complexity and capabilities compared to the previous.
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Application of Engineering Mathematics
A- What is Mathematics?
B- What is Engineering?
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Ziegler nichols pid controller for effective pay-load
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Ziegler nichols pid controller for effective pay-load torque responses and ti...
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Real life application of Function.
- 3. MD.MAHABUBALAM 163-15-1147 ASHRAFULISLAM 181-15-1921 MD.RAJUSHAIKH 181-15—1918 ABDURRAHMAN 181-15-2063 ARAFATUDDIN 181-15-2032 AKHLASURRAHMAN 181-15-2068 AMIRHAMJA 181-15-2064
- 4. A function is a mathematical relationship between two variables, where every input variable has one output variable.
- 5. Function initially developed for better navigation system. Engineers use Function for building skyscrapers, bridges etc. In robotics, Function is used how robotic parts will work.
- 6. A constraint logic program is a logic that contains constraints in the body of clauses. Its very necessary for many Terms of Civil Engineering, ME & most importantly this includes Function.
- 7. The use of Functional equations & Calculas to understand computer hardware belongs to applied physics or electrical engineering.
- 8. Functional Calculas helps to provide shape and interior and exterior designs of machin.
- 9. MR images demonstrate, thin-plate spline (TPS),Images generated using sensitivity encoding (SENSE), Gaussian kernel smoothed (GKS)
- 10. Functional equations is an essential tool for describing the nature of the physical universe
- 11. The function, differentiation and integration of calculus have many real-world applications from sports to engineering to astronomy and space travel.
- 12. Electrical and Computer engineers use Function for system design. Function is used to improve safety of vehicles.
- 13. To study the interaction of different species within an ecosystem function is used. The concentration of drugs in a living organism can be answered with function.
- 14. Physical attributes, such as backbone length and skull length measured by function. Function is used for measuring growth rate of bacteria and certain species.
- 15. • Isaac Newton developed the use of function in his laws of motion and gravitation.
- 16. • Astronomical science deeply depend on calculus & function. • Space technology use functional calculus in many ways. • Function is used to build tracks.
- 17. • Functions and derivatives of calculus are relate to relevant concepts in economics. • Economic research uses calculus functional relationships, relation of income , market prediction etc.
- 18. • Function & differentiation is used to find optimum solutions of economics. • Function also used for max efficiency or products or to minimize their costs. • Credit card companies use function for monthly payments.
- 19. • Business and politicians often conduct surveys with the help of function. • Investment plans do not pass before mathematicians approves.
- 20. • Doctors often use function in the estimation of the progression of the illness. • Global mapping is done with the help of function. • Function also used to solve paradoxes.
- 21. THANK YOU