Abstract: A computer-implemented system and method for facilitating the exchange of information amongst two or more individuals is provided, which can be effectively implemented into a myriad of applications. By way of example, in some applications (e.g., Contract Bridge card games) the method may be employed to increasingly improve the ability of card game playing partners to more accurately assess, and therefore more accurately predict, each other's strategies and moves in a card game scenario, wherein the sheer quantity of available card game moves results in the possibility of making such improvements via conventional means—such as practice games incorporating various different moves, verbal strategy-based discussions and the like—a statistical impossibility. In yet other applications (e.g.

Abstract: The present invention provides methods and apparatus for readily determining the value of the imaginary number "i" raised to different exponential powers. Calculations pertaining to the imaginary "i" are commonly encountered in engineering, mathematical and scientific calculations and analysis. In accordance with the present invention, the value of "i" raised to any magnitude of exponential power is readily determined based upon the values of the "ones" and "tens" place of the exponent, including whether the "tens" value is an even or odd integer. Different apparatus are provided for readily calculating the value of the imaginary number "i" for any natural number of exponential power.

Abstract: This invention pertains to a new type of ruler for measuring the angle of inclination of a portion of terrain from a topographical map. Topographical maps contain precise information relating to elevation changes and distances. These two pieces of information can be used together to devise a scale to measure the angle of inclination, or pitch, of any slope represented on the map. The invention is simply the inscription of such a scale on a straight, flat material. The invention can be made with a unique scale for any given map scale and contour interval height.

Abstract: A logic design slide rule comprises, in a preferred embodiment, front and rear cover plates coupled together; interior slide channels formed between the covers; and a plurality of slides disposed between the covers and able to move horizontally from left to right within the channels. The slides may be moved to display indicia on beams for observation through a single column of truth-table windows and to display corresponding indicia printed on interior slide plates for observation through an array or grid of K-map windows, which column and grid of windows are located in the front cover of the slide rule. Indicia are also displayed through a set of output variable slots, preferably in the rear cover. Operation of the preferred slide rule will aid the designer to obtain a minimum set of combinational logic functions for up to four input variable from a given truth-table.

Abstract: A cup counting device for use in open ended tubular dispensing devices, the device having a plurality of reverse scales extending towards the center of the device from the ends thereof, each scale being calibrated for a particular size and type of cup and for a particular cup dispensing device. When the invention device is inserted into the dispenser pushing the appropriate cups therein to the minimum compressed length of the column of cups and of the spring dispensing means in the dispenser, the end of the dispenser reads against the scales on the counter directly in number of cups remaining in the dispenser.

Abstract: There is provided a calculator for calculating check digits which are obtained from code numbers according to a modulus 10, modulus 11 or the like check. In accordance with one embodiment of the invention, the desired check digit original numerals are indicated in response to the determination of a code number and weights and the desired check digit is readily obtained from the sum of the check digit original numerals. In accordance with another embodiment, the desired check digit is directly indicated in response to the setting of a code number. In accordance with still another improved embodiment, the desired check digit according to the modulus 10 and that according to the modulus 11 are selectively indicated in response to the setting of a code number.

Abstract: A calculation device for family planning, particulary for pre-planning the sex of a child. The device has a guide plate having a number of parallel guides arranged one above the other, and a cover plate which permits viewing of the guides. A number of slides for insertion into the guides are divided into sufficient divisions to accommodate the days of at least two successive months. An additional guide has a reference point and a window in the cover plate at a distance of fifteen such daily divisions from the reference point in the decreasing direction of the daily sequence. Two marker slides extend transversely over the guides and are slidable on the guide plate and cover plate assembly. The lower marker slide with reference to the daily sequence has two windows separated by two daily divisions and each being the width of one daily division. The upper marker slide has one window the width of one daily division.

Abstract: A calculating device comprising a rockable cradle having a number of parallel grooves formed in its upper surface, each of which supports a beam provided on at least one of its faces with a calculating scale so that the beam has sliding movement within the groove, along its longitudinal axis. A cursor line which lies normal to the longitudinal axis of the sliding beams is marked on the upper face of the rockable cradle. In typical use a slidable beam having a question scale marked on one of its faces is moved so that a question integer on the question scale registers with the cursor line thereby providing a rotating torque about the axis of rotation of the rockable cradle. A further slidable beam having an answer scale marked on one of its faces is moved so as to provide a rotating torque in antiphase direction to that provided by the question scale beam, the antiphase torque being adjusted to such a magnitude that the cradle is balanced and the beams are horizontal.

Abstract: A computational aid device for Ekelund range determinations comprising a e member adapted to be placed over a bearing/time plot and including two leg members to be aligned with intersecting bearing rate lines faired through the plot, and a range scale positionable with respect to the base and the leg members to provide direct readings of range and of probable limits of range error.

Abstract: A calculator for calculating check digits which are obtained from code numbers according to a modulus 10, modulus 11 or similar check. In accordance with one embodiment of the invention, the desired check digit original numerals are indicated in response to the determination of a code number and weights and the desired check digit is readily obtained from the sum of the check digit original numerals. In accordance with another embodiment, the desired check digit is directly indicated in response to the setting of a code number. In accordance with still another improved embodiment, the desired check digit according to the modulus 10 and that according to the modulus 11 are selectively indicated in response to the setting of a code number.

Abstract: A scheduling tool for establishing estimated duration of a contractual obligation involving multiple phases and associated functions thereof is utilized with a normalized scale and various overlays determined in accordance with statistical information relative to criteria useful in determining the duration of the obligation. A manpower allocation device may be used alone or in conjunction with the scheduling tool to estimate the manpower necessary during various phases of different contractual obligations.

Abstract: A suspension of an unknown micro-organism is introduced into a plurality of reaction chambers, each containing a different specific biochemical reagent. The presence or absence of each reaction is subsequently transformed to a multi-digit numerical profile, which serves to identify the micro-organism by means of a numerical Profile Register. Apparatus is also provided to facilitate the transformation of the test result data to the numerical profile while simultaneously providing a verification of the transformation.

Abstract: A decompression calculator for calculating safe and efficient diving schedules utilizing unequal time constants for uptake and elimination of inert gas in the diver's tissues. Scales are provided to calculate a safe decompression stop for a single stage decompression and the time of decompression required where the working depth, the initial depth and the bottom time are known. Decompression times for staged decompression dives may also be calculated.

Abstract: A scheduling tool for establishing estimated duration of a contractual obligation involving multiple phases and associated functions thereof is utilized with a normalized scale and various overlays determined in accordance with statistical information relative to criteria useful in determining the duration of the obligation. A manpower allocation device may be used alone or in conjunction with the scheduling tool to estimate the manpower necessary during various phases of different contractual obligations.