Abstract: Analysis is enabled, of a corpus of statements (such as those from social media), according to each statement's expression of sentiment about some kind of object. Object-specific corpuses are identified, where each object-specific corpus contains statements that refer to a same object. For each statement of an object-specific corpus, the polarity and intensity of sentiment expressed is determined. Net polarity and intensity measures are determined for each object-specific corpus and utilized to graph the corpus in a two-dimensional space. The area of the graphical symbol, representative of an object-specific corpus, can be proportional to the number (absolute or relative) of statements of the object-specific corpus. Brands can be compared, with each brand represented by an object-specific corpus. A single brand can have shown, relative to a temporal dimension, the net polarity, net intensity, or volume of its statements. Net polarity is shown to have a strong correlation with survey-based techniques.

Abstract: A flexible package with a one-way, pressure-equalizing or degassing valve and method of making the same is provided. The package includes a tortuous path preventing particulate materials, e.g., fine powders, from clogging or interfering with opening and closing of said valve. The package includes a heat seal including discontinuities or gaps which defines a tortuous path between the valve and the compartment within the package in which the particulate material is located, allowing air and internal gases trapped in the package to escape through the valve while preventing fine powders, dust and particulate from reaching the valve body by trapping or collecting them in the tortuous path.

Abstract: A flexible package with a one-way, pressure-equalizing or degassing valve and method of making the same is provided. The package includes a tortuous path preventing particulate materials, e.g., fine powders, from clogging or interfering with opening and closing of said valve. The package includes a heat seal including discontinuities or gaps which defines a tortuous path between the valve and the compartment within the package in which the particulate material is located, allowing air and internal gases trapped in the package to escape through the valve while preventing fine powders, dust and particulate from reaching the valve body by trapping or collecting them in the tortuous path.

Abstract: Analysis is enabled, of a corpus of statements (such as those from social media), according to each statement's expression of sentiment about some kind of object. Object-specific corpuses are identified, where each object-specific corpus contains statements that refer to a same object. For each statement of an object-specific corpus, the polarity and intensity of sentiment expressed is determined. Net polarity and intensity measures are determined for each object-specific corpus and utilized to graph the corpus in a two-dimensional space. The area of the graphical symbol, representative of an object-specific corpus, can be proportional to the number (absolute or relative) of statements of the object-specific corpus. Brands can be compared, with each brand represented by an object-specific corpus. A single brand can have shown, relative to a temporal dimension, the net polarity, net intensity, or volume of its statements. Net polarity is shown to have a strong correlation with survey-based techniques.