A method of obtaining a dot product using a memristive dot product engine with a nulling amplifier includes applying a number of programming voltages to a number of row lines within a memristive crossbar array to change the resistance values of a corresponding number of memristors located at intersections between the row lines and a number of column lines. The method also includes applying a number of reference voltages to the number of the row lines and applying a number of operating voltages to the number of the row lines. The operating voltages represent a corresponding number of vector values. The method also includes determining an array output based on a reference output and an operating output collected from the number of column lines.

A method of obtaining a dot product using a memristive dot product engine with a nulling amplifier includes applying a number of programming voltages to a number of row lines within a memristive crossbar array to change the resistance values of a corresponding number of memristors located at intersections between the row lines and a number of column lines. The method also includes applying a number of reference voltages to the number of the row lines and applying a number of operating voltages to the number of the row lines. The operating voltages represent a corresponding number of vector values. The method also includes determining an array output based on a reference output and an operating output collected from the number of column lines.

Examples of a signal calculator include a voltage multiplier and a time divider. The voltage multiplier copies time information corresponding to a first voltage and generates a third voltage using a second current corresponding to a second voltage during a first period corresponding to the copied time information. The time divider generates an output according to a result of comparing a voltage generated by a first current on the basis of a voltage corresponding to a first time with a second voltage corresponding to a second time.

Examples of a signal calculator include a voltage multiplier and a time divider. The voltage multiplier copies time information corresponding to a first voltage and generates a third voltage using a second current corresponding to a second voltage during a first period corresponding to the copied time information. The time divider generates an output according to a result of comparing a voltage generated by a first current on the basis of a voltage corresponding to a first time with a second voltage corresponding to a second time.

A co-processor is configured for performing vector matrix multiplication (VMM) to solve computational problems such as partial differential equations (PDEs). An analog Discrete Fourier Transform (DFT) can be implemented by invoking VMM of input signals with Fourier basis functions using analog crossbar arrays. Linear and non-linear PDEs can be solved by implementing spectral PDE solution methods as an alternative to massively discretized finite difference methods, while exploiting inherent parallelism realized through the crossbar arrays. The analog crossbar array can be implemented in CMOS and memristors or a hybrid solution including a combination of CMOS and memristors.

A sum-of-products calculation apparatus is provided. The sum-of-products calculation apparatus includes an analog-to-digital (A-to-D) conversion circuit having an encoder circuit and a plurality of inverters. Threshold voltages of the inverters are set according to classification threshold values of an activation function. The inverters generate a plurality of bit signals in response to an analog sum-of-products signal. The encoder circuit encodes the bit signals to generate a digital signal.

A sum-of-products calculation apparatus is provided. The sum-of-products calculation apparatus includes an analog-to-digital (A-to-D) conversion circuit having an encoder circuit and a plurality of inverters. Threshold voltages of the inverters are set according to classification threshold values of an activation function. The inverters generate a plurality of bit signals in response to an analog sum-of-products signal. The encoder circuit encodes the bit signals to generate a digital signal.

An emulating device for emulating a bimetallic strip, the emulating device comprising a current sensor capable of measuring a line current (I.sub.P) flowing through the emulating device, the emulating device being capable of providing a value representative of a cumulative thermal state over time t, which value is referred to as cumulative thermal state, by recursively adding a value representative of an initial thermal state, which value is referred to as initial thermal state, and a value representative of a present thermal state, which value is referred to as present thermal state, which is determined on the basis of the line current (I.sub.P).

A computation circuit includes a computing cell array configured to provide a plurality of physical values respectively corresponding to a plurality of elements of a matrix; a vector input circuit configured to provide a plurality of input voltages corresponding to an input vector to the computing cell array; and a vector output circuit configured to output a plurality of output voltages each corresponding to a dot product between the input vector and a column vector of the matrix according to the plurality of input voltages and the plurality of effective capacitances.

A computation circuit includes a computing cell array configured to provide a plurality of physical values respectively corresponding to a plurality of elements of a matrix; a vector input circuit configured to provide a plurality of input voltages corresponding to an input vector to the computing cell array; and a vector output circuit configured to output a plurality of output voltages each corresponding to a dot product between the input vector and a column vector of the matrix according to the plurality of input voltages and the plurality of effective capacitances.