Mathematical tools

Mechanical calculator

A mechanical calculator, or calculating machine, is a mechanical device used to perform the basic operations of arithmetic automatically, or (historically) a simulation such as an analog computer or a slide rule. Most mechanical calculators were comparable in size to small desktop computers and have been rendered obsolete by the advent of the electronic calculator and the digital computer. Surviving notes from Wilhelm Schickard in 1623 reveal that he designed and had built the earliest of the modern attempts at mechanizing calculation. His machine was composed of two sets of technologies: first an abacus made of Napier's bones, to simplify multiplications and divisions first described six years earlier in 1617, and for the mechanical part, it had a dialed pedometer to perform additions and subtractions. A study of the surviving notes shows a machine that would have jammed after a few entries on the same dial, and that it could be damaged if a carry had to be propagated over a few digits (like adding 1 to 999). Schickard abandoned his project in 1624 and never mentioned it again until his death 11 years later in 1635. Two decades after Schickard's supposedly failed attempt, in 1642, Blaise Pascal decisively solved these particular problems with his invention of the mechanical calculator. Co-opted into his father's labour as tax collector in Rouen, Pascal designed the calculator to help in the large amount of tedious arithmetic required; it was called Pascal's Calculator or Pascaline. Thomas' arithmometer, the first commercially successful machine, was manufactured two hundred years later in 1851; it was the first mechanical calculator strong enough and reliable enough to be used daily in an office environment. For forty years the arithmometer was the only type of mechanical calculator available for sale until the industrial production of the more successful Odhner Arithmometer in 1890. The comptometer, introduced in 1887, was the first machine to use a keyboard that consisted of columns of nine keys (from 1 to 9) for each digit. The Dalton adding machine, manufactured in 1902, was the first to have a 10 key keyboard. Electric motors were used on some mechanical calculators from 1901. In 1961, a comptometer type machine, the Anita Mk VII from Sumlock comptometer Ltd., became the first desktop mechanical calculator to receive an all-electronic calculator engine, creating the link in between these two industries and marking the beginning of its decline. The production of mechanical calculators came to a stop in the middle of the 1970s closing an industry that had lasted for 120 years. Charles Babbage designed two new kinds of mechanical calculators, which were so big that they required the power of a steam engine to operate, and that were too sophisticated to be built in his lifetime. The first one was an automatic mechanical calculator, his difference engine, which could automatically compute and print mathematical tables. In 1855, Georg Scheutz became the first of a handful of designers to succeed at building a smaller and simpler model of his difference engine. The second one was a programmable mechanical calculator, his analytical engine, which Babbage started to design in 1834; "in less than two years he had sketched out many of the salient features of the modern computer. A crucial step was the adoption of a punched card system derived from the Jacquard loom" making it infinitely programmable. In 1937, Howard Aiken convinced IBM to design and build the ASCC/Mark I, the first machine of its kind, based on the architecture of the analytical engine; when the machine was finished some hailed it as "Babbage's dream come true". (Wikipedia).

Mechanical calculator
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Restoring a 1956 Friden STW 10 Mechanical Calculator

The Friden STW 10 is a wonderful, fully automatic, mechanical calculator, that can add, subtract, multiply and divide very large numbers. It is large, very fast and noisy, quite impressive when it gets going. This is one of the most difficult mechanical restoration I have gone through to d

From playlist Mechanical Calculators

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Facit TK Mechanical Calculator Demo (1936)

This is a demo of the Facit TK mechanical calculator. This Swedish pinwheel calculator was introduced in 1936 and got famous for introducing number entry with a numerical keypad instead of levers. Despite its simplicity, it has numerous clever features, a few demonstrated here. A legacy of

From playlist Mechanical Calculators

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The Amazing Story of the Curta Calculator

SUPPORT CR on PATREON: http://bit.ly/2qBHcvf Re-upload from 6 months ago due to content issues. Enjoy! Telling someone 100 years ago that we all have powerful calculators in devices in our pockets today would've absolutely blown their mind. Back then, calculators were large mechanical de

From playlist Concerning History

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How To Create A Calculator App In JavaScript | Session 13 | #app | #javascript | #programming

Don’t forget to subscribe! Let's JavaScript. This project series is about creating a single operation Calculator App In JavaScript. This calculator app will allow you to add, subtract multiply and divide 2 numbers with or without a decimal point. Our calculator app will also have A backs

From playlist Create A Single Operation Calculator App In JavaScript

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How To Create A Calculator App In JavaScript | Session 12 | #app | #javascript | #programming

Don’t forget to subscribe! Let's JavaScript. This project series is about creating a single operation Calculator App In JavaScript. This calculator app will allow you to add, subtract multiply and divide 2 numbers with or without a decimal point. Our calculator app will also have A backs

From playlist Create A Single Operation Calculator App In JavaScript

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How To Create A Calculator App In JavaScript | Session 16 | #app | #javascript | #programming

Don’t forget to subscribe! Let's JavaScript. This project series is about creating a single operation Calculator App In JavaScript. This calculator app will allow you to add, subtract multiply and divide 2 numbers with or without a decimal point. Our calculator app will also have A backs

From playlist Create A Single Operation Calculator App In JavaScript

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How To Create A Calculator App In JavaScript | Introduction | #app | #javascript | #programming

Don’t forget to subscribe! Let's JavaScript. This project series is about creating a single operation Calculator App In JavaScript. This calculator app will allow you to add, subtract multiply and divide 2 numbers with or without a decimal point. Our calculator app will also have A backs

From playlist Create A Single Operation Calculator App In JavaScript

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How To Create A Calculator App In JavaScript | Session 07 | #app | #javascript | #programming

Don’t forget to subscribe! Let's JavaScript. This project series is about creating a single operation Calculator App In JavaScript. This calculator app will allow you to add, subtract multiply and divide 2 numbers with or without a decimal point. Our calculator app will also have A backs

From playlist Create A Single Operation Calculator App In JavaScript

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Conservation of Mechanical Energy: Example Problems

This conservation of mechanical energy physics video works through two example problems to show you how to use conservation of energy to determine the potential energy, the kinetic energy, total mechanical energy and the height and velocity of an object as it moves along its path. Because

From playlist Kinetic Energy, Potential Energy, Work, Power

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EEVblog #1332 - Facit Mechanical Calculator!

Teardown (partial) of a Facit C1-13 13 digit mechanical calculator from 1967. John Wolff's mechanical calculator website: http://www.johnwolff.id.au/calculators/Tech/FacitC1-13/C113.htm How pinwheel calculators work: https://www.youtube.com/watch?v=YXMuJco8onQ In Operation: https://www.yo

From playlist Vintage Computers

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Simple Machines (6 of 7) Inclined Plane; Calculating Forces, Distances, MA, Part 1

For the inclined plane simple machine shows how to calculate the input force, input distance and the mechanical advantage. You can link to all my videos at my website: https://www.stepbystepscience.com Link for sharing this video: https://youtu.be/nbIbon0Rcvw Please support my channel b

From playlist Mechanics

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001 Introduction to Quantum Mechanics, Probability Amplitudes and Quantum States

In this series of physics lectures, Professor J.J. Binney explains how probabilities are obtained from quantum amplitudes, why they give rise to quantum interference, the concept of a complete set of amplitudes and how this defines a "quantum state". Notes and problem sets here http://www

From playlist James Binney - 2nd Year Quantum Mechanics

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The Three Classes of Levers: An Explanation

This video provides a detailed description of the three classes of levers. A lever is one of the six kinds of simple machines. It consists of a straight beam that can rotate at a fixed point called the fulcrum. Based on the relative location of the fulcrum, the output force (the load) and

From playlist Simple Machines; Pulleys and Inclined Planes

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Integrated Information Theory - Part 1

Ever wonder why dogs and rocks are different? Math can help. The Math of Conscious Systems. Integrated Information Theory (IIT) is a philophical, mathematical and scientific theory of consciousness. This video was created as part of #SoME1 (https://www.3blue1brown.com/blog/some1 ). More

From playlist Summer of Math Exposition Youtube Videos

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Some Aspects of Space Fractional Quantum Mechanics by Bhabani Prasad Mandal

PROGRAM NON-HERMITIAN PHYSICS - PHHQP XVIII DATE :04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Qua

From playlist Non-Hermitian Physics - PHHQP XVIII

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How To Create A Calculator App In JavaScript | Session 03 | #app | #javascript | #programming

Don’t forget to subscribe! Let's JavaScript. This project series is about creating a single operation Calculator App In JavaScript. This calculator app will allow you to add, subtract multiply and divide 2 numbers with or without a decimal point. Our calculator app will also have A backs

From playlist Create A Single Operation Calculator App In JavaScript

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Heat Engines, Thermal Efficiency, & Energy Flow Diagrams - Thermodynamics & Physics Problems

This physics video tutorial provides a basic introduction into heat engines. it explains how to calculate the mechanical work performed by a heat engine using heat flowing from the hot reservoir and the heat energy flowing into the cold reservoir. It explains how to calculate the thermal

From playlist New Physics Video Playlist

Related pages

Division (mathematics) | Slide rule | Multiplication | Calculator | Napier's bones | Square root | Subtraction | Difference engine | Mathematical table | Logarithm | Arithmetic | Abacus