How is the mathematical definition of "input" used in our everyday lives?
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Whenever some type of stimulus has a fixed relation with an outcome.\n\nAnything to do with computer instructions. Any type of switch or button, from light switch to remote controls. Amount of pressure applied to the accelerator in a car.
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It is a function, that express the relation between the amount of the input data and the amount of primitive operations that will be needed to complete a task.\n\nFor example if you have to find the sum of N numbers, one trivial solution would be to scan all of them and collect the sum incrementaly. Then you will be traversed one time each number, so the computational complecity will be f(N) - you see it is linear function.\n\nAnother example is the sorting N numbers. The famous quick sort algorithm have f(log(2,N)) - it is logarithmic.\n\nOfthen this function is showed as theta from the greek alphabet :)
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Computer, machine that performs tasks, such as calculations or electronic communication, under the control of a set of instructions called a program. Programs usually reside within the computer and are retrieved and processed by the computer’s electronics. The program results are stored or routed to output devices, such as video display monitors or printers. Computers perform a wide variety of activities reliably, accurately, and quickly.\n\nPeople use computers in many ways. In business, computers track inventories with bar codes and scanners, check the credit status of customers, and transfer funds electronically. In homes, tiny computers embedded in the electronic circuitry of most appliances control the indoor temperature, operate home security systems, tell the time, and turn videocassette recorders (VCRs) on and off. Computers in automobiles regulate the flow of fuel, thereby increasing gas mileage, and are used in anti-theft systems. Computers also entertain, creating digitized sound on stereo systems or computer-animated features from a digitally encoded laser disc. Computer programs, or applications, exist to aid every level of education, from programs that teach simple addition or sentence construction to programs that teach advanced calculus. Educators use computers to track grades and communicate with students; with computer-controlled projection units, they can add graphics, sound, and animation to their communications (see Computer-Aided Instruction). Computers are used extensively in scientific research to solve mathematical problems, investigate complicated data, or model systems that are too costly or impractical to build, such as testing the air flow around the next generation of aircraft. The military employs computers in sophisticated communications to encode and unscramble messages, and to keep track of personnel and supplies.\n\nThe physical computer and its components are known as hardware. Computer hardware includes the memory that stores data and program instructions; the central processing unit (CPU) that carries out program instructions; the input devices, such as a keyboard or mouse, that allow the user to communicate with the computer; the output devices, such as printers and video display monitors, that enable the computer to present information to the user; and buses (hardware lines or wires) that connect these and other computer components. The programs that run the computer are called software. Software generally is designed to perform a particular type of task—for example, to control the arm of a robot to weld a car’s body, to write a letter, to display and modify a photograph, or to direct the general operation of the computer.\n\nWhen a computer is turned on it searches for instructions in its memory. These instructions tell the computer how to start up. Usually, one of the first sets of these instructions is a special program called the operating system, which is the software that makes the computer work. It prompts the user (or other machines) for input and commands, reports the results of these commands and other operations, stores and manages data, and controls the sequence of the software and hardware actions. When the user requests that a program run, the operating system loads the program in the computer’s memory and runs the program. Popular operating systems, such as Microsoft Windows and the Macintosh system (Mac OS), have graphical user interfaces (GUIs)—that use tiny pictures, or icons, to represent various files and commands. To access these files or commands, the user clicks the mouse on the icon or presses a combination of keys on the keyboard. Some operating systems allow the user to carry out these tasks via voice, touch, or other input methods.\n\nTo process information electronically, data are stored in a computer in the form of binary digits, or bits, each having two possible representations (0 or 1). If a second bit is added to a single bit of information, the
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To a mathematician 1 + 1=2 right. If I were using that equation in another context it could be interpreted differently. In a nutshell the quote is saying that people sometimes interpet the same one thing differently.
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Mathematics can be found everywhere because the heart of Mathematics is founded on basic concepts that is able to represent more complex issues in ways that are consistent, predictable and can be processed to solve real world problems.\n\nEvery human carries with him/her a human metronome that counts regularly between 60-100 beats per minute - your heart.\n\nRegular counting is translated into Rhythms, Rhythm plus Notes (musical notes of mathematically structured frequencies, e.g. A-440Hz) gives you Music, Music cut on CDs are done by digital encoding. Digital encoding needs compression to maximise storage, good encoding, needs good Mathematics to get good results. Encoding can be used for Videos, you get DVD, High Definition TVs.\n\nYou purchase these goods with your credit card, the financial industry needs, security codes and authentication to validate purchases, these needs Mathematics. The data generated by large amount of transactions requires mathematical processing to make sense of it. Statistical analysis to do data mining, analysis and presentation.\n\nAnalysis help to generate more intelligence so that manufacturers can target the correct market with the correct products. Companies makes lots of money and get funding in the stock exchanges, stock exchanges uses technical analysis and modeling to predict performance of companies. You invest in the stock market, you made a kill and laugh all the way to the bank. Don't tell me now, at the bank, we are back to Mathematics again. Yes, you draw some money and you have a candle light dinner with your loved one. Beautiful music is played and you remember Mathematics is in Music and your Heart beat is comforted, relaxed and striking at a comfortable 60 beats per minute. \n\nAnd you sit sit back and reflect "Why, Mathematics does have an effect on the entire world!"
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1 : the act or process of multiplying : the state of being multiplied\n\n2 a : a mathematical operation that at its simplest is an abbreviated process of adding an integer to itself a specified number of times and that is extended to other numbers in accordance with laws that are valid for integers b : any of various mathematical operations that are analogous in some way to multiplication of the real numbers but are defined for other or larger sets of elements (as complex numbers, vectors, matrices, or functions)
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This was a form of math that gained a small following several years ago with the Hmong of Thiland. It's not used very much today due to its limited application.   Edited comment:  Pastor Dave is correct, it's still used. I think it was also used for a few months at Enron, Corp.
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how does this fit into mathematics?
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Arithmetic is just a branch of mathematics, witch handles the number theory, so it has all the teorems of basic operations. \nMathematics is at a much larger scale, it is much more abstract and uses logic.\nYou might want to see it this way, arithmetic is a mecanical process , i.e you make the calculations almost by inertia, whereas in math you have to think a lot to get to one result, and when you figure out the answer you use arithmetic to make the calculations.
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well...when you go to plug in numbers...its less numbers to add subtract multiply and divide...this means less chance of making a mistake\n\nalso...it allows us to write computer programs that will compute complicated thigns faster (mainly because there is less computation)
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Input-Process-output := data is read in , processed , and the results output. I think you may need a little bit more here , e.g. storage , error handling , operator controls , and so on.
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origination, input, output, processing, storage & input
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For example, if you ask someone 2+2, and they don't answer so you tell them the answer is 4, that's telling.\n\nTeaching is showing them on their fingers or something, 2 fingers + 2 fingers, count them, that's 4 fingers.
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use  brain\nif not  calculator
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Exponential functions are used in the everyday lives of people who model (represent mathematically):\n\na) exponential growth - such as the change in a population over time.\n\nb) exponential decay - such as the change in radioactivity of a substance over time.
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you use reading, math, science , history  in everyday life. examples buying things in the store exchange of money (math, reading labels ) in cooking you use measurements (math, reading recepies) planting a garden (science, reading instructions on packets) signs that tell you where to go (reading) when history repeats itself (pearl harbor attack, world trade center attack, it may not be the same thing but both were suddenly and deliberately attack) you have to know all of this to survive.
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Now, if only they would enable the user to input their OWN functions...that would be useful.  \n\nBTW, if anyone knows how to do that, I would surely like to know!