US3928756A
Expired / Lapsed
US
⏱️ 0.0 years remaining
Device for calculating the successive derivatives of a function of a variable
Assignee: Individual
•
Filing: 1974-01-16
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Granted: 1975-12-23
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Expires: 1994-01-16
Abstract
Abstract This invention relates to a device for calculating the successive derivatives of a function of a variable. This device comprises, for calculating the n first derivatives, means for sensing in succession the function values for (n + p) successive values of the variable. The sensed (n + p) function values are memorized in a storage device, then simultaneously transferred into computing circuits, which determine the values of the n first derivatives according to known mathematical formulas.
Inventors
- 👤 Didier Auray
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-23 19:10
CPC Classifications
G; G01; G01P; G01P3/00; G01P3/42; G01P15/00; G01P15/16; G06; G06G; G06G7/00; G06G7/12; G06G7/18; G06G7/184
Claims Analysis
Total Claims: 6
Claim 1
Independent Claim
112 words
A device for calculating the successive derivatives of a function of a variable, especially for regulating or controlling said function, comprising: for calculating the n first derivatives, means for sensing in succession the function values for (n + p) successive values of the variable, n and p designating two integers, storage means for memorizing the sensed (n + p) values of said function, and computing circuits fed from said storage means and adapted to determine the values of the n first derivatives according to known mathematical formulas; said computing circuits being adapted to determine the value of the nth derivative of the function y of variable x according to the following formula:
Claim 2
Independent Claim
112 words
A device for calculating the successive derivatives of a function of a variable, especially for regulating or controlling said function, comprising: for calculating the n first derivatives, means for sensing in succession the function values for (n + p) successive values of the variable, n and p designating two integers, storage means for memorizing the sensed (n + p) values of said function, and computing circuits fed from said storage means and adapted to determine the values of the n first derivatives according to known mathematical formulas; said computing circuits being adapted to determine the value of the nth derivative of the function y of variable x according to the following formula:
Claim 3
Dependent Claim
118 words
A device as set forth in claim 1, wherein the (n + 1) stages of said shift register consist essentially of (n + 1) first capacitors, each of which is coupled to the preceding first capacitor through a second AND gate, having a first and a second input, said second input being connected to the output of the corresponding stage of the ring register, and (n + 1) second capacitors are inserted between said first capacitors and the corresponding inputs of said computing circuits, respectively through the first inputs of said second AND gates, the second inputs of said first AND gates being connected together to the output of the (n + 2)th stage of said ring register.
Claim 4
Dependent Claim
33 words
A device as set forth in claim 2, wherein each first and second AND gate comprises a field-effect transistor, of which the gate electrode constitutes the second input of the corresponding AND gate.
Claim 5
Dependent Claim
23 words
A device as set forth in claim 3, wherein an operational amplifier is mounted before each of said first and second AND gates.
Claim 6
Dependent Claim
25 words
A device as set forth in claim 3, wherein operational amplifiers are inserted between said second capacitors and the corresponding inputs of said computing circuits.
References Cited (Backward Citations)
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1978-12-22 | 1979-06-23 | 1979-12-23 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1982-12-22 | 1983-06-23 | 1983-12-23 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1986-12-22 | 1987-06-23 | 1987-12-23 | $7700.00 | Window Closed / Lapsed |