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Calcul

Aus eben dem angeführten Schreiben habe anch verstanden, daß Leibniz niemalen auf den wahren Begrif von einem Calcul der Dinge gekommen, weilen. Methode de calcul de couche limite turbulente compressible avec transfert de chaleurA computing method for compressible turbulent boundary layer with heat​. Erster Abschnitt. J - ". - - - - - - Darstellung des barycentrischen Calculs und einer darauf gegründeten analytischen Geometrie. S. –

Several other models were developed until the first pocket model, the ELKA , was released in The writing on it was in Roman script , and it was exported to western countries.

The first desktop programmable calculators were produced in the mids. They included the Mathatronics Mathatron and the Olivetti Programma late which were solid-state, desktop, printing, floating point, algebraic entry, programmable, stored-program electronic calculators.

The Programma saw much wider distribution and had the added feature of offline storage of programs via magnetic cards.

Another early programmable desktop calculator and maybe the first Japanese one was the Casio AL produced in It featured a nixie tubes display and had transistor electronics and ferrite core memory.

The Monroe Epic programmable calculator came on the market in A large, printing, desk-top unit, with an attached floor-standing logic tower, it could be programmed to perform many computer-like functions.

However, the only branch instruction was an implied unconditional branch GOTO at the end of the operation stack, returning the program to its starting instruction.

During this era, the absence of the conditional branch was sometimes used to distinguish a programmable calculator from a computer. The first Soviet programmable desktop calculator ISKRA , powered by the power grid, was released at the start of the s.

The electronic calculators of the mids were large and heavy desktop machines due to their use of hundreds of transistors on several circuit boards with a large power consumption that required an AC power supply.

There were great efforts to put the logic required for a calculator into fewer and fewer integrated circuits chips and calculator electronics was one of the leading edges of semiconductor development.

This led to alliances between Japanese calculator manufacturers and U. By , a calculator could be made using just a few chips of low power consumption, allowing portable models powered from rechargeable batteries.

The first handheld calculator was a prototype called "Cal Tech", whose development was led by Jack Kilby at Texas Instruments in a research project to produce a portable calculator.

It could add, multiply, subtract, and divide, and its output device was a paper tape. The first commercially produced portable calculators appeared in Japan in , and were soon marketed around the world.

The Canon Pocketronic was a development from the "Cal-Tech" project. It had no traditional display; numerical output was on thermal paper tape.

Sharp put in great efforts in size and power reduction and introduced in January the Sharp EL-8 , also marketed as the Facit , which was close to being a pocket calculator.

It weighed 1. However, integrated circuit development efforts culminated in early with the introduction of the first "calculator on a chip", the MK by Mostek , [35] followed by Texas Instruments later in the year.

Although these early hand-held calculators were very costly, these advances in electronics, together with developments in display technology such as the vacuum fluorescent display , LED , and LCD , led within a few years to the cheap pocket calculator available to all.

In Pico Electronics. Pico was a spinout by five GI design engineers whose vision was to create single chip calculator ICs.

Pico and GI went on to have significant success in the burgeoning handheld calculator market. The first European-made pocket-sized calculator, DB [38] [39] is made in May by Digitron in Buje , Croatia former Yugoslavia with four functions and an eight-digit display and special characters for a negative number and a warning that the calculation has too many digits to display.

The first Soviet Union made pocket-sized calculator, the Elektronika B [40] was developed by the end of and sold at the start of One of the first low-cost calculators was the Sinclair Cambridge , launched in August The Sinclair calculators were successful because they were far cheaper than the competition; however, their design led to slow and inaccurate computations of transcendental functions.

Meanwhile, Hewlett-Packard HP had been developing a pocket calculator. Launched in early , it was unlike the other basic four-function pocket calculators then available in that it was the first pocket calculator with scientific functions that could replace a slide rule.

It had 35 buttons and was based on Mostek Mk chip. The first Soviet scientific pocket-sized calculator the "B" was completed by the end of It was followed the next year by the SR which added log and trig functions to compete with the HP, and in the mass-marketed TI line which is still produced.

In a new company, Calculated Industries arose which focused on specialized markets. Their first calculator, the Loan Arranger [42] was a pocket calculator marketed to the Real Estate industry with preprogrammed functions to simplify the process of calculating payments and future values.

In , CI launched a calculator for the construction industry called the Construction Master [43] which came preprogrammed with common construction calculations such as angles, stairs, roofing math, pitch, rise, run, and feet-inch fraction conversions.

This would be the first in a line of construction related calculators. Adler 81S pocket calculator with vacuum fluorescent display VFD from the mids.

The Sinclair Executive pocket calculator. The HP , the world's first scientific pocket calculator by Hewlett Packard The first programmable pocket calculator was the HP , in ; it had a capacity of instructions, and could store and retrieve programs with a built-in magnetic card reader.

Two years later the HPC introduced continuous memory , i. The first Soviet pocket battery-powered programmable calculator, Elektronika B , was developed by the end of and released at the start of Thus B defined a new command set, which later was used in a series of later programmable Soviet calculators.

Despite very limited abilities 98 bytes of instruction memory and about 19 stack and addressable registers , people managed to write all kinds of programs for them, including adventure games and libraries of calculus-related functions for engineers.

Hundreds, perhaps thousands, of programs were written for these machines, from practical scientific and business software, which were used in real-life offices and labs, to fun games for children.

This series of calculators was also noted for a large number of highly counter-intuitive mysterious undocumented features, somewhat similar to " synthetic programming " of the American HP , which were exploited by applying normal arithmetic operations to error messages, jumping to nonexistent addresses and other methods.

A similar hacker culture in the USA revolved around the HP , which was also noted for a large number of undocumented features and was much more powerful than B Through the s the hand-held electronic calculator underwent rapid development.

In the early s liquid-crystal displays LCDs were in their infancy and there was a great deal of concern that they only had a short operating lifetime.

However, there were problems with this display and the calculator never went on sale. To present a high-contrast display these models illuminated the LCD using a filament lamp and solid plastic light guide, which negated the low power consumption of the display.

These models appear to have been sold only for a year or two. An extension of one glass plate needed for the liquid crystal display was used as a substrate to mount the needed chips based on a new hybrid technology.

The COS technology may have been too costly since it was only used in a few models before Sharp reverted to conventional circuit boards. In the mids the first calculators appeared with field-effect, twisted nematic TN LCDs with dark numerals against a grey background, though the early ones often had a yellow filter over them to cut out damaging ultraviolet rays.

This led the way to the first credit-card-sized calculators, such as the Casio Mini Card LC of , which could run for months of normal use on button cells.

There were also improvements to the electronics inside the calculators. All of the logic functions of a calculator had been squeezed into the first "calculator on a chip" integrated circuits ICs in , but this was leading edge technology of the time and yields were low and costs were high.

Many calculators continued to use two or more ICs, especially the scientific and the programmable ones, into the late s.

The power consumption of the integrated circuits was also reduced, especially with the introduction of CMOS technology. With this low power consumption came the possibility of using solar cells as the power source, realised around by calculators such as the Royal Solar 1 , Sharp EL , and Teal Photon.

The interior of a Casio fx scientific calculator from the mids, using a VFD. Discrete electronic components like capacitors and resistors and the IC are mounted on a printed circuit board PCB.

This calculator uses a battery pack as a power source. An LCD is directly under the chip. This was a PCB-less design.

No discrete components are used. The battery compartment at the top can hold two button cells. Inside a Casio scientific calculator from the mids, showing the processor chip small square, top-middle, left , keypad contacts, right with matching contacts on the left , the back of the LCD top, marked 4LE , battery compartment, and other components.

The solar cell assembly is under the chip. The interior of a newer ca. It uses a button battery in combination with a solar cell.

The processor is a "Chip on Board" type, covered with dark epoxy. At the start of the s, hand-held electronic calculators were very costly, at two or three weeks' wages, and so were a luxury item.

The high price was due to their construction requiring many mechanical and electronic components which were costly to produce, and production runs that were too small to exploit economies of scale.

Many firms saw that there were good profits to be made in the calculator business with the margin on such high prices. However, the cost of calculators fell as components and their production methods improved, and the effect of economies of scale was felt.

The results of this were that the pocket calculator was affordable, and that it was now difficult for the manufacturers to make a profit from calculators, leading to many firms dropping out of the business or closing down.

The firms that survived making calculators tended to be those with high outputs of higher quality calculators, or producing high-specification scientific and programmable calculators.

The first calculator capable of symbolic computing was the HPC , released in It could, for example, solve quadratic equations symbolically.

The first graphing calculator was the Casio fxG released in The two leading manufacturers, HP and TI, released increasingly feature-laden calculators during the s and s.

Actions about the calculator or the tape. Number formating actions fractions and scientific notation. All calculations are saved on the tape.

Click on any number or operator on the tape and change it at any time. Hit equals and the new result will appear. You can use the print button to print out the tape.

Clear button clears the last input. All clear button clears the calculator, tape, and resets any functions.

Memory clear button clears the memory. Memory recall button retrieves the number you have in memory and places it in the display field.

Memory plus button adds the number displayed to the contents of the memory. Memory minus button subtracts the number displayed from the contents of the memory.

Note: The percent function will also work if you enter the number first and then the percentage you want i.

Click a number and then click fraction bar, then click another number. Enter a number, then click fraction space, click another number and then click on the fraction bar button, lastly enter another number.

When you choose the one the other is switched off. Decimal format button is used for all decimal work. Click on the decimal format button, enter a fraction or mixed number, then click equals.

If the fraction or mixed number is only part of the calculation then omit clicking equals and continue with the calculation per usual.

Fraction format button is used to work with all fractions. Also to change a decimal of the form 0.

Click the fraction format button, enter a decimal, click equals and then click on a fraction form and then click equals. If the fraction of decimal is part of a calculation, omit clicking equals and continue with the calculation.

A proper fraction is a fraction where the numerator top number is less than the denominator bottom number.

An improper fraction is a fraction where the numerator top number is greater than or equal to the denominator bottom number. You can use the view menu button to add fuctionality to the standard calculator.

You can add a scientific keypad to calculate logarithms, a trigonometric keypad to calculate angles, and a fraction keypad to form, add, subtract, divide, and multiply fractions.

All clear button clears the calculator, tape, and resets any functions. Memory clear button clears the memory. Memory recall button retrieves the number you have in memory and places it in the display field.

Memory plus button adds the number displayed to the contents of the memory. Memory minus button subtracts the number displayed from the contents of the memory.

Note: The percent function will also work if you enter the number first and then the percentage you want i.

Click a number and then click fraction bar, then click another number. Enter a number, then click fraction space, click another number and then click on the fraction bar button, lastly enter another number.

When you choose the one the other is switched off. Decimal format button is used for all decimal work. Click on the decimal format button, enter a fraction or mixed number, then click equals.

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