2695 results about "Linear relationship" patented technology

Capacitance measurement apparatus that enhances the sensitivity and accuracy of capacitive transducers, proximity sensors, and touchless switches. Each of two capacitors (C1, C2) under measurement has one end connected to ground and is kept at substantially the same voltage potential by operational amplifier (A1) or amplifiers (A0, A1) using negative feedback. The apparatus is driven by a periodic e.g. sinusoidal signal source (G1) or sources (G1, G2) and includes a difference amplifier (A2) operative to produce an electrical signal having a linear relationship with a specified arithmetic function of the capacitances of the two capacitors (C1, C2). A touchless switch is implemented using the capacitance measurement apparatus. The touchless switch includes two sensor electrodes (E1, E2) that correspond to the two capacitors (C1, C2) under measurement and in one embodiment has a front surface in the form of a container.

An exercise system is provided in which multiple exercise routines may be conducted with a single system. The exercise system may be used for skiing exercises, rowing exercises, and for weight training / resistance exercises. The exercise system may also be stored in a compact position and may by integrated with articles of furniture for space saving benefits. In one embodiment, resistance to motion is provided by one or more tension transmission members and may be selectively adjusted by controlling the configuration of the tension transmission member relative to a torsion spring. Use of intermediate devices between the spring and the tension transmission member are described that provide a non-linear relationship between force and displacement. In another embodiment, the tension transmission member may be configured in different positions by adjusting the position of movable pulleys, thereby allowing the device to be used for a number of different exercise routines.

A method of starting a DC—DC converter into a precharged output voltage including generating a reference voltage having a linear relationship with the output voltage such that the reference voltage ranges between a minimum and maximum voltage level of a PWM triangular waveform as the output voltage ranges between zero and an input voltage level, and enabling output switching of the DC—DC converter when the reference voltage is approximately equal to a compensation signal generated by an error amplifier comparing the reference voltage with a feedback signal representative of the output voltage. Generating a reference voltage may include applying a first current based on the input voltage through two resistors to develop the minimum and maximum voltage levels, applying the first current in one direction through a third resistor, and applying a second current based on the output voltage through the third resistor in the opposite direction.

Various methods and devices for ligament replacement in the human body, and in particular, the spine are provided. In an exemplary embodiment, a ligament replacement system is provided that has an artificial ligament configured in the form of a closed loop. The artificial ligament is adapted to be coupled between the ligament seating regions of first and second connection members in a connection geometry that results in the artificial ligament having a large motion with a non-linear relationship between the force and displacement, similar to that of a natural ligament.

A method is provided for conducting an electromagnetic induction survey of a geological formation penetrated by a borehole lined with a conductive casing. The method includes positioning a transmitter in the borehole, whereby the transmitter generates a transmitter magnetic moment, and positioning a distant receiver external of the borehole to detect a magnetic field induced by the transmitter, whereby the distant receiver is disposed across part of the formation from the borehole. Furthermore, an auxiliary receiver is positioned in the borehole proximate the transmitter to detect a magnetic field induced by the transmitter and attenuated by the conductive casing. Subsequently, a first casing attenuation factor that is applicable to the magnetic field measured by the auxiliary receiver is determined from a ratio of the measured magnetic field at the auxiliary receiver and the transmitter magnetic moment. A second casing attenuation factor applicable to the measurement of the magnetic field at the distant receiver is determined from a non-linear relationship (e.g., a power law relationship) between the first casing attenuation factor and the second attenuation factor, wherein the second attenuation factor is less than the first attenuation factor. Then, a formation attenuation factor applicable to the measured magnetic field at the distant receiver is determined from a relationship between the magnetic moment of the transmitter, the second casing attenuation factor, and the measured magnetic field at the distant receiver. Finally, the method correlates the determined value of the formation attenuation factor to a resistivity characteristic of the formation between the distant receiver and the transmitter.