Difference between revisions of "Summer"
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[[File:Greek uc sigma.svg|thumb|120px|The greek symbol ''Sigma'' is the mathematical notation for a sum]] | [[File:Greek uc sigma.svg|thumb|120px|The greek symbol ''Sigma'' is the mathematical notation for a sum]] | ||
| − | A '''Summer''' is an elementary analog computing element. It carries out a '''summation''', as in <code>a + b = c</code>. Here, <code>a</code> and <code>b</code> are called the ''summands'' and <code>c</code> is the ''sum''. [[The Analog Thing]] features four summers, allowing four summations in a circuit. | + | A '''Summer''' is an elementary analog computing element. It carries out a '''summation''' of its inputs, as in <code>a + b = c</code>. Here, <code>a</code> and <code>b</code> are called the ''summands'' and <code>c</code> is the ''sum''. [[The Analog Thing]] features four summers, allowing four summations in a circuit. |
| + | == Elements of Each Summer on The Analog Thing == | ||
| + | |||
| + | * Circles represent inputs, triangles represent outputs. | ||
| + | * Each of the summers of THAT has four unweighted inputs (labeled 1) and three inputs weighted with factor 10 (labeled 10). | ||
| + | * In the lower right corner of each of the summers, a <code>GROUND</code> socket (0) is available. | ||
| + | * Each of the summers has an <code>SJ</code> and en <code>FB</code> socket. Beginners may ignore these for the time being. | ||
| + | * Each of the summers has two output sockets. | ||
== Basic Usage of a Summer on The Analog Thing == | == Basic Usage of a Summer on The Analog Thing == | ||
| − | [[File:Summer.png|thumb|All connector | + | [[File:Summer.png|thumb|All connector sockets of a single summer]] |
| + | |||
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* Put each quantity you want to sum into a different circle. Do not stack connectors on the inputs. | * Put each quantity you want to sum into a different circle. Do not stack connectors on the inputs. | ||
| − | * | + | * You can use both output sockets as you like and stack connectors however you like. |
| − | + | ||
| − | |||
| − | [[File:Nuvola apps important.svg|16px]] Attention: Make sure the sum of your inputs does not exceed the machine unit ( | + | [[File:Nuvola apps important.svg|16px]] Attention: Make sure the sum of your inputs does not exceed the machine unit (±1), otherwise an overload occurs (indicated by the <code>OL LED</code>) [[File:Red rouge.svg|16px]]. See [[Logic levels]] for details. |
== Extended Usage of a Summer == | == Extended Usage of a Summer == | ||
Revision as of 16:41, 8 August 2021
A Summer is an elementary analog computing element. It carries out a summation of its inputs, as in a + b = c. Here, a and b are called the summands and c is the sum. The Analog Thing features four summers, allowing four summations in a circuit.
Elements of Each Summer on The Analog Thing
- Circles represent inputs, triangles represent outputs.
- Each of the summers of THAT has four unweighted inputs (labeled 1) and three inputs weighted with factor 10 (labeled 10).
- In the lower right corner of each of the summers, a
GROUNDsocket (0) is available. - Each of the summers has an
SJand enFBsocket. Beginners may ignore these for the time being. - Each of the summers has two output sockets.
Basic Usage of a Summer on The Analog Thing
- Put each quantity you want to sum into a different circle. Do not stack connectors on the inputs.
- You can use both output sockets as you like and stack connectors however you like.
Attention: Make sure the sum of your inputs does not exceed the machine unit (±1), otherwise an overload occurs (indicated by the OL LED) 
. See Logic levels for details.
Extended Usage of a Summer
- If you choose input weight 10, you perform an amplification of this input. For details, see below.
- ...
Mathematics about analog summing
sum = weight1 * input1 + weight2 * input2 + ...
Summation in analog computers is based on on Kirchhoffs Law, which describes the conservation of current, or electrons, in particular. In a summing point (summing junction), the sum of the incoming and outgoing currents add up to zero. For more details, please refer to Analog computing literature.
Other summers in The Analog Thing
Inverters are electronically identical to summers. With their summing junctions, they can be used as summers if no more summers are available. See the article about Inverters and the XIR for more details. The Integrators are by definition also summing but cannot be stopped from integrating except in IC mode (see Modes).
