Abstract: A machine-implemented process for determining, scaling, providing, and presenting comparative information in an accurate, scaled, useful, easily recognized, and understandable manner, including: reading the data sets; setting first and second boundaries of a first reference axis using first coordinates of data points of one data set having maximum and minimum values, respectively; setting first and second boundaries of each of the other reference axes by adjusting either the first coordinate of one data point of the selected data set having a maximum value or the first coordinate of one data point of the selected data set having a minimum value, wherein every E-value calculated based on the thus-obtained final first and second boundaries of the each of the other reference axes is substantially equal to an E-value of the first data set; and plotting the data points of the data sets. An electronic device capable of presenting a multiple-axis graph is also disclosed.

Abstract: An electronic device is for graphically illustrating a statistical display based on a set of numerical data. The electronic device includes a computing unit, a plot generating unit, and an output unit. The computing unit is for computing a geometric mean of the set of numerical data and a first generalized mean with a first non-zero exponent of the set of numerical data. The plot generating unit is coupled to the computing unit for generating a plot with reference to the geometric mean and the first generalized mean computed by the computing unit. The plot has first and second indications that are aligned in an axis direction, and that respectively correspond to the first generalized mean and the geometric mean. The output unit is coupled to the plot generating unit for outputting the plot for viewing by a user.

Abstract: This invention provides a means of sending emergency messages. When in the state of emergency, the user activates or initiates a communication device to execute the positioning procedure. The communication device, converts the current location into a text or voice message and delivers the text or voice message to at least one person on the contact list that is preset in the communication device. By using this invention, the amount of electricity consumption is low therefore charges last longer, the cost decreases, and the user does not experience the pressure of being traced.

Abstract: A graphing method is implemented by a graphing apparatus and includes: (a) receiving a first value and a second value, and reference information corresponding to the first and second values; (b) determining an angle value using the first value and the second value, step (b) including (b-1) calculating a relational value by determining the quotient of a numerator and a denominator, in which the denominator is a function of the first value and the numerator is a function of at least the second value, and (b-2) obtaining the angle value by inputting the relational value in a predetermined inverse trigonometric function; (c) generating a graph having presented thereon a coordinate value formed using the angle value and the reference information; and (d) outputting the graph to a display medium for display thereon. A computer program product and a graphing apparatus are also disclosed.

Abstract: This invention provides a means of sending emergency messages. When in the state of emergency, the user activates or initiates a communication device to execute the positioning procedure. The communication device, converts the current location into a text or voice message and delivers the text or voice message to at least one person on the contact list that is preset in the communication device. By using this invention, the amount of electricity consumption is low therefore charges last longer, the cost decreases, and the user does not experience the pressure of being traced.

Abstract: A machine-implemented method for presenting a dual-axis graph for a pair of data sets includes: reading the data sets; setting first and second boundaries of a first reference axis using first coordinates of data points of one data set having maximum and minimum values, respectively; setting first and second boundaries of a second reference axis by adjusting either the first coordinate of one data point of the other data set having a maximum value or the first coordinate of one data point of the other data set having a minimum value, wherein an E-value calculated based on thus-obtained final first and second boundaries of the second reference axis is substantially equal to an E-value of the first data set; and plotting the data points of the data sets. An electronic device capable of presenting a dual-axis graph is also disclosed.

Abstract: An electronic device is for graphically illustrating a statistical display based on a set of numerical data. The electronic device includes a computing unit, a plot generating unit, and an output unit. The computing unit is for computing a geometric mean of the set of numerical data and a first generalized mean with a first non-zero exponent of the set of numerical data. The plot generating unit is coupled to the computing unit for generating a plot with reference to the geometric mean and the first generalized mean computed by the computing unit. The plot has first and second indications that are aligned in an axis direction, and that respectively correspond to the first generalized mean and the geometric mean. The output unit is coupled to the plot generating unit for outputting the plot for viewing by a user.

Abstract: A machine-implemented method for graphically illustrating a statistical display based on a set of numerical data includes the steps of: (a) finding a median and a subset of the numerical data, each corresponding to a member of a predetermined set of cumulative distribution probabilities of the Gaussian distribution; (b) computing a mean and a standard deviation; (c) computing a plurality of reference values, each differing from the mean by a corresponding predetermined number multiplied by the standard deviation; (d) generating a plot that includes a first line, a second line and a plurality of connecting lines, the first line having the median and the subset marked thereon, the second line having the mean and the reference values marked thereon, the connecting lines respectively connecting the median and the mean, and corresponding pairs of the subset of the numerical data and the reference values; and (e) outputting the plot for viewing by a user.

Abstract: A graphing method is implemented by a graphing apparatus and includes: (a) receiving a first value and a second value, and reference information corresponding to the first and second values; (b) determining an angle value using the first value and the second value, step (b) including (b-1) calculating a relational value by determining the quotient of a numerator and a denominator, in which the denominator is a function of the first value and the numerator is a function of at least the second value, and (b-2) obtaining the angle value by inputting the relational value in a predetermined inverse trigonometric function; (c) generating a graph having presented thereon a coordinate value formed using the angle value and the reference information; and (d) outputting the graph to a display medium for display thereon. A computer program product and a graphing apparatus are also disclosed.

Abstract: A machine-implemented process for determining, scaling, providing, and presenting comparative information in an accurate, scaled, useful, easily recognized, and understandable manner, including: reading the data sets; setting first and second boundaries of a first reference axis using first coordinates of data points of one data set having maximum and minimum values, respectively; setting first and second boundaries of each of the other reference axes by adjusting either the first coordinate of one data point of the selected data set having a maximum value or the first coordinate of one data point of the selected data set having a minimum value, wherein every E-value calculated based on the thus-obtained final first and second boundaries of the each of the other reference axes is substantially equal to an E-value of the first data set; and plotting the data points of the data sets. An electronic device capable of presenting a multiple-axis graph is also disclosed.

Abstract: A machine-implemented method for presenting a dual-axis graph for a pair of data sets includes: reading the data sets; setting first and second boundaries of a first reference axis using first coordinates of data points of one data set having maximum and minimum values, respectively; setting first and second boundaries of a second reference axis by adjusting either the first coordinate of one data point of the other data set having a maximum value or the first coordinate of one data point of the other data set having a minimum value, wherein an E-value calculated based on thus-obtained final first and second boundaries of the second reference axis is substantially equal to an E-value of the first data set; and plotting the data points of the data sets. An electronic device capable of presenting a dual-axis graph is also disclosed.

Abstract: A machine-implemented method is disclosed for presenting a normalized graph for a plurality of data sets, each data set having a plurality of data points each including a numerical first coordinate and a second coordinate. The machine-implemented method includes: reading the data sets; for each data set, multiplying the first coordinate of each data point by a scalar to result in normalized first coordinates for the data points; setting first and second boundaries of a first coordinate axis of the normalized graph based on the normalized first coordinates of all data points of the data sets; and plotting all data points of all data sets on a same coordinate plane defined by the first and second boundaries of the first coordinate axis and a second coordinate axis using the normalized first coordinates instead of the numerical first coordinates. An electronic device for presenting a normalized graph is also disclosed.