Truncated Series with Nonnegative Coefficients from the Jacobi Triple Product

Andrews and Merca investigated a truncated version of Euler's pentagonal number theorem and showed that the coefficients of the truncated series are nonnegative. They also considered the truncated series arising from Jacobi's triple product identity, and they conjectured that its coefficients are nonnegative. This conjecture was posed by Guo and Zeng independently and confirmed by Mao and Yee using different approaches. In this paper, we provide a new combinatorial proof of their nonnegativity result related to Euler's pentagonal number theorem. Meanwhile, we find an analogous result for a truncated series arising from Jacobi's triple product identity in a different manner.

THE ROLE OF FOREIGN LANGUAGE AS A BRAND OF PRODUCT FROM CONSTRUCTIVISM POINT A VIEW

The identity of a product has an important part for the company. Product identity should have the unique aspect to draw attention of customers and to win the competition with the other competitors. Nowadays, the identity of a product with foreign language is having uptrends because most people think it is unique and draws more attention. Therefore, foreign language has an influence to the identity of a brand. The development of technology and language make most of the owner of a product choose a foreign language than Indonesian language. Moreover, the assumption of Indonesian language does not have a rich vocabulary than Indonesian language become the main reason. Besides that, an identity of a brand with foreign language can deliver the main point of a product to the customer. From the context of the problem raised, there are some question asked, how does a foreign language in the identity of a product can affect the buyer's decision process? And what is the solution to raise the use of Indonesian language for the identity of a product? This study used qualitative research with a questionnaires and interviews as a way to collecting data. Therefore, the author hopes this research can contribute to language development and local product in Indonesia. From the research with questionnaires and interviews, it showed that most people tend to choose a brand of a product with a foreign language. However, the Indonesian language product brands also have the big contribution to the increase of Indonesian economic.

Using a Brand Identity-Focused Project Structure to Improve the Competencies of Product Design Students

It is essential to reflect the strategic connotations of the brand on the products while creating and developing a product design that fits the brand identity. Therefore, for a company, it is a critical issue to place the right messages that support the strategic brand identity in the design elements. From the designers' point of view, they are expected to have design skills such as analyzing a brand's uniqueness and brand knowledge and reflecting the results of these analyses on the aesthetics, function and overall meaning of the product. For this reason, as a part of the Industrial Design curriculum, brand identity focused product design has been restructured in Atılım University, Industrial Design program. In this studio course, the aim was for design students to acquire skills of brand identity and product identity analysis, in addition to basic design knowledge and skills. During 16 weeks, the data were collected by doing a participant observation and conducting semi-structured interviews with the course students. The data gathered from the semi-structured interviews and participant observation were analysed by using an inductive coding approach. Thus, product design suggestions that were suitable for the identity of the brand were analysed with the questions asked by the instructors during the design process. The results show that the questions asked by the instructors and the examples they gave, led the students to research, think, question, understand and make sense of the importance of information. As a result, the students obtained design outputs suitable for brand identity.

Packaging Design Model Of Talang Salted Fish Processing Industry Using Value Engineering Method

One of the products that need attention, especially related to packaging, is the Talang Salted Fish product, which has been selling Talang Salted Fish without using packaging. So that this study aims to design the packaging of talang salted fish to add selling value which can later be an attraction for consumers to buy it. The method used is value engineering and the analytical hierarchy process (AHP). The value engineering method is applied to increase the value, performance, and cost of packaging design consisting of brand criteria, net weight measurement, product identity, attractiveness, color suitability, typography, and font size. The Analytical Hierarchy Process method is applied at the analysis stage to help determine the priority criteria in accordance with the wishes of consumers. The results showed that the alternative design with the highest performance value was alternative 1 (A-B-D-E), namely the design with packaging materials made of transparent plastic, the colors used were bright, the packaging was rectangular and all capital letters were used. This selected alternative design has a value of 0.039. This value is obtained from the performance of 38.9 and the cost of Rp. 1000 per pack.

Surface Theory

<p><b>Surfaces readily communicate visual and tactile cues about adesign’s purpose and identity. An intrinsic knowledge of physicalcharacteristics of products has been established through existingresearch that relates product shape to semantic descriptors, buthas not yet addressed how a material’s surface texture mightcontribute towards a product identity.</b></p> <p>The advent of additive manufacturing enables a new mindsettowards production and the high fidelity of these processesoffer unprecedented control over the designed identity; as suchthere is a gap for research that helps designers understand theinfluence of detailed textures on sensitive body parts, such asthe fingertip. With greater understanding that the experiencedesign and emotional acuity of a physical product is an importantdifferentiator in the market it is necessary to provide designersa more concrete understanding of how their designs could beperceived.</p> <p>A great range of emotional affects can be elicited throughtangible 3D-printed form. In exploration of this a process wascreated to generate surfaces from a script-based modellingsoftware that provides strict control of 3D models. Utilisingparameter-based design a large variety of complex geometrieswere made from a shared scaffold; and in taking advantage ofthis statistical base, user studies were conducted to identifycorrelations between geometric features and emotional affects.</p> <p>Novel natural language processing tools were used to analyseopen-ended questionnaires and contrasted with results fromconfirmatory questions on a series of designed textures. Furtherinquiry into these results enabled extraction of statisticallysignificant factors and their corresponding parameters to informa set of guidelines on how to elicit certain emotional responsesusing only changes in surface geometry.</p> <p>The results of this research show that innovative visual andtactile textures can evoke a desired emotional response. Usingspeculative design, emotive textures are applied within theconsumer electronics industry to create a series of experimentswith unique surfaces that suggest how greater customisationfor consumers could be provided, enabling a greater productattachment and to allow products to be designed with greaterempathy. More emotional designs can be created using 3D printingthat might contribute to a more ethical and sustainable cultureof production, made possible with aesthetic changes of the nexttechnological revolution.</p>

Surface Theory

<p><b>Surfaces readily communicate visual and tactile cues about adesign’s purpose and identity. An intrinsic knowledge of physicalcharacteristics of products has been established through existingresearch that relates product shape to semantic descriptors, buthas not yet addressed how a material’s surface texture mightcontribute towards a product identity.</b></p> <p>The advent of additive manufacturing enables a new mindsettowards production and the high fidelity of these processesoffer unprecedented control over the designed identity; as suchthere is a gap for research that helps designers understand theinfluence of detailed textures on sensitive body parts, such asthe fingertip. With greater understanding that the experiencedesign and emotional acuity of a physical product is an importantdifferentiator in the market it is necessary to provide designersa more concrete understanding of how their designs could beperceived.</p> <p>A great range of emotional affects can be elicited throughtangible 3D-printed form. In exploration of this a process wascreated to generate surfaces from a script-based modellingsoftware that provides strict control of 3D models. Utilisingparameter-based design a large variety of complex geometrieswere made from a shared scaffold; and in taking advantage ofthis statistical base, user studies were conducted to identifycorrelations between geometric features and emotional affects.</p> <p>Novel natural language processing tools were used to analyseopen-ended questionnaires and contrasted with results fromconfirmatory questions on a series of designed textures. Furtherinquiry into these results enabled extraction of statisticallysignificant factors and their corresponding parameters to informa set of guidelines on how to elicit certain emotional responsesusing only changes in surface geometry.</p> <p>The results of this research show that innovative visual andtactile textures can evoke a desired emotional response. Usingspeculative design, emotive textures are applied within theconsumer electronics industry to create a series of experimentswith unique surfaces that suggest how greater customisationfor consumers could be provided, enabling a greater productattachment and to allow products to be designed with greaterempathy. More emotional designs can be created using 3D printingthat might contribute to a more ethical and sustainable cultureof production, made possible with aesthetic changes of the nexttechnological revolution.</p>

The digitalization of marketing for egg-based livestock SMEs in Sumberagung Village

Chicken eggs are considered an important animal protein source and are easily accessible in terms of availability and affordability, particularly for low-income earners. Trade competition is a major problem facing the egg-based livestock SMEs in Sumberagung village. According to a particular business owner, marketing media is essential in creating more awareness and demands. This enterprise is managed independently, with the support of family members. Therefore, effective management principles are rarely applied. However, observation, discussion and problem-solving methods were employed, in addition to the waterfall system development model. The present research explored the Shopee e-commerce application to design a digital platform to market products and create extensive public awareness. The website also served as a faster medium to manage consumer requests directly. Therefore, the development of information systems is expected to boost SMEs productivity, create a wider product identity and compete favorably with other producers, with the potentials of increasing business profits.