Cup Product Research Articles

The Analysis of Business Feasibility of Bottled Water Product In Cup Of 240 ml In PDAM Tirta Binangun, Kabupaten Kulon Progo

Regional Drinking Water Company (PDAM) Tirta Binangun is one of the Regional Owned Enterprises (BUMD) in the field of water delivery services for Kulon Progo residents. PDAM Tirta Binangun also has a Bottled Drinking Water (AMDK) production program. AMDK KU needs to identify the financial feasibility of a 240 mℓ cup product. The need for business analysis is to find out whether AMDK KU can generate profits in the future or vice versa. The analysis of business feasibility used the methods of Break Event Point (BEP), Net Present Value (NPV), and Net B/C Ratio. Besides, it is necessary to take alternative corrective actions at the company for 240 mℓ cup products. The company of AMDK KU has gotten the normal BEP for the first cup production of 240 mℓ is 70,654 cartons, and the income in 6 months and 15 days is Rp 1,130,470,076. The analysis result is the company of AMDK KU, with the cup production of 240 mℓ, can be said that it had a profit. If the income and the price are increased by 10 percent, 20 percent, and 30 percent, it still will have profit. According to the NPV analysis, the products of 240 mℓ cup of AMDK KU are feasible to be done, even for 10 days later. However, the analysis result of the Net B/C Ratio, the products of 240 mℓ cup of AMDK KU is profitable because the score is Rp 1.1332. Furthermore, the PP result found in 10 months 11 days is included as a quick return on investment. The alternative action to solve the unprofitable products is by developing the product using the new innovation, product branding, a new marketing strategy, and additional investment.

Perbandingan Respons Dan Produksi Tanaman Karet (Hevea brasilliensis M.) Klon PB 260 Dan Rric 100 Terhadap Aplikasi Stimulan

This study aims to get a higher cup lump production in rubber plants that are given a stimulant treatment compared to rubber plants that are not given a stimulant. Higher levels of dry rubber in PB 260 that has been given a stimulant compared to the RRIC 100 who has been given a stimulant and clone that provide the best responses to the stimulant. This research was conducted at Afdeling 5 PTPN VII Padang Pelawi starting from March to May 2019. The method used a t-test with PB 260 and RRIC 100 clones. The observed variables were stem girth, tapping angle, tapping depth, tapping thickness, skin consumption, cup production lumps, and dry rubber content. The results obtained by the use of stimulants increased cup lump production in two clones studied, RRIC 100 clones gave the best response to stimulants compared with PB 260 clones.

Cup product on $A_\infty$-cohomology and deformations

We propose a simple method for constructing formal deformations of differential graded algebras in the category of minimal A_\infty -algebras. The basis for our approach is provided by the Gerstenhaber algebra structure on A_\infty -cohomology, which we define in terms of the brace operations. As an example, we construct a minimal A_\infty -algebra from the Weyl–Moyal \ast -product algebra of polynomial functions.

The minimal length product over homology bases of manifolds

Minkowski’s second theorem can be stated as an inequality for n-dimensional flat Finsler tori relating the volume and the minimal product of the lengths of closed geodesics which form a homology basis. In this paper we show how this fundamental result can be promoted to a principle holding for a larger class of Finsler manifolds. This includes manifolds for which first Betti number and dimension do no necessarily coincide, a prime example being the case of surfaces. This class of manifolds is described by a non-vanishing condition for the hyperdeterminant reduced modulo 2 of the multilinear map induced by the fundamental class of the manifold on its first \(\mathbb {Z}_2\)-cohomology group using the cup product.

Making Sullivan Algebras Minimal Through Chain Contractions

In this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, taking as input a (non-minimal) Sullivan algebra A with an ordered finite set of generators preserving the filtration defined on A, we obtain as output a minimal Sullivan algebra with the same rational cohomology as A. This algorithm is a kind of modified AT-model algorithm used, in the past, to compute a chain contraction providing other kinds of topological information such as (co)homology, cup products on cohomology and persistent homology.

Level compatibility in the passage from modular symbols to cup products

For a positive integer M and an odd prime p there exists a map $$\varpi _M$$ from the first homology group of the modular curve $$X_1(M)$$ with $${\mathbb {Z}}_p$$ -coefficients to a second Galois cohomology group over $${\mathbb {Q}}(\mu _M)$$ with restricted ramification and $${\mathbb {Z}}_p(2)$$ -coefficients. This map takes Manin symbols to certain cup products of cyclotomic M-units. It has previously been shown that if $$p\mid M$$ and $$p\ge 5$$ , then $$\varpi _{Mp}$$ and $$\varpi _M$$ are compatible via the map of homology induced by the quotient $$X_1(Mp)\rightarrow X_1(M)$$ and corestriction from $${\mathbb {Q}}(\mu _{Mp})$$ to $${\mathbb {Q}}(\mu _M)$$ . We show that for a prime $$\ell \not \mid M$$ , $$\ell \ne p\ge 5$$ , the maps $$\varpi _{M\ell }$$ and $$\varpi _M$$ are again compatible under a certain combination of the two standard degeneracy maps from level $$M\ell $$ to level M and corestriction.

Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology

AbstractWe construct a$(\mathfrak {gl}_2, B(\mathbb {Q}_p))$and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at$0$of a sheaf on$\mathbb {P}^1$, landing in the compactly supported completed$\mathbb {C}_p$-cohomology of the modular curve. The local cohomology group is a highest-weight Verma module, and the cup product is non-trivial on a highest-weight vector for any overconvergent modular form of infinitesimal weight not equal to$1$. For classical weight$k\geq 2$, the Verma has an algebraic quotient$H^1(\mathbb {P}^1, \mathcal {O}(-k))$, and on classical forms, the pairing factors through this quotient, giving a geometric description of ‘half’ of the locally algebraic vectors in completed cohomology; the other half is described by a pairing with the roles of$H^1$and$H^0$reversed between the modular curve and$\mathbb {P}^1$. Under minor assumptions, we deduce a conjecture of Gouvea on the Hodge-Tate-Sen weights of Galois representations attached to overconvergent modular forms. Our main results are essentially a strict subset of those obtained independently by Lue Pan, but the perspective here is different, and the proofs are short and use simple tools: a Mayer-Vietoris cover, a cup product, and a boundary map in group cohomology.

The Gerstenhaber product of affine toric varieties

For an affine toric variety , we give a convex geometric interpretation of the Gerstenhaber product between the Hochschild cohomology groups. In particular, our construction also generalizes the known results about the cup product .

An algorithm for a lifted Massey triple product of a smooth projective plane curve

We provide an explicit algorithm to compute a lifted Massey triple product relative to a defining system for a smooth projective plane curve [Formula: see text] defined by a homogeneous polynomial [Formula: see text] over a field. The main idea is to use the description (due to Carlson and Griffiths) of the cup product for [Formula: see text] in terms of the multiplications inside the Jacobian ring of [Formula: see text] and the Cech–deRham complex of [Formula: see text]. Our algorithm gives a criterion whether a lifted Massey triple product vanishes or not in [Formula: see text] under a particular nontrivial defining system of the Massey triple product and thus can be viewed as a generalization of the vanishing criterion of the cup product in [Formula: see text] of Carlson and Griffiths. Based on our algorithm, we provide explicit numerical examples by running the computer program.

Research on Children’s Smart Water Cup Design Based on Analytic Hierarchy Process

The children’s product market continues to expand, as a smart product with more contact with children’s mouth and hands, the design of children’s smart water cup needs to meet higher requirements. This paper studies the product value attribute of children’s smart water cup, explores the design possibility, and transforms it into a product in line with the market trend. Through market research and patent search to find design trends and combined with user interviews, children’s smart water cup products are decomposed into indicators to be evaluated, and quantitative data, The weight of each indicator was calculated by using Analytic Hierarchy Process (AHP) and the comprehensive score was ranked, and the design concept of children’s smart water cup was proposed. The introduction of Analytic Hierarchy Process in the design of children’s smart water cup can effectively reduce the interference of scattered elements and improve the design efficiency.

Mod-two cohomology rings of alternating groups

Abstract We calculate the direct sum of the mod-two cohomology of all alternating groups, with both cup and transfer product structures, which in particular determines the additive structure and ring structure of the cohomology of individual groups. We show that there are no nilpotent elements in the cohomology rings of individual alternating groups. We calculate the action of the Steenrod algebra and discuss individual component rings. A range of techniques are developed, including an almost Hopf ring structure associated to the embeddings of products of alternating groups and Fox–Neuwirth resolutions, which are new techniques. We also extend understanding of the Gysin sequence relating the cohomology of alternating groups to that of symmetric groups and calculation of restriction to elementary abelian subgroups.

Effect of the Location of Draw Bead and Its Profile in Cylindrical Cup Forming

The effect of draw bead on the production of cylindrical cup in deep drawing process three metal (aluminum, brass, steel). The draw bead is designed by Bezier curve’s equation that play an important role in prevent occurrence of wrinkling especially with improved aluminum, because that’s only lubricant is passed with aluminum, when compared it with without draw bead, it is noticed that the maximum drawing force will increase due to lubricant. It can be concluded that in deep drawing with draw bead the wax has used us a lubricant, be better compared to without draw bead for AL, good agreement is evident between ANSYS(18) and experimental work. comparing between deep drawing with draw bead and without the energy required to complete drawn when using draw bead is more than without draw bead, The aims of this paper to predict the wrinkling and thinning (necking) and to study the influence of using draw bead on the thickness distribution along the cup, so the hoop strain distribution along the blank is more uniform for using draw bead and thickness strain with & without using draw bead, is about 0.17% in thinning for brass with it and 0.20% in thickening to steel without it.

Twisted cohomology pairings of knots III; triple cup products

Given a representation of a link group, we introduce a trilinear form, as a topological invariant. We show that, if the link is either hyperbolic or a knot with malnormality, then the trilinear form equals the pairing of the (twisted) triple cup product and the fundamental relative 3-class. Further, we give some examples of the computation.

The future of single-use paper coffee cups: Current progress and outlook

The expanded use of environmentally friendly and sustainable foodservice packaging continues to be a prime focus of stakeholders across the foodservice value chain. Paper-based coffee cups is one product segment where effective recycling of waste cups remains elusive. As a result, material substitutes for polyethylene liners are emerging to solve the problem of waste cups. In this paper, current and emerging commercial material technologies used in the production of paper-based coffee cups that are readily recyclable with other paper grades are reviewed. Many of these material solutions are also compostable. Special attention is paid to the rapidly evolving, alternative large-scale production of bioplastics. Multiple efforts to effectively develop a more environmentally friendly paper cup are also examined. It is clear that broad adoption of proposed solutions will require an integrated commitment and approach to circular economics. Specifically, this includes: changes in consumer behavior; brand owner initiatives to meet sustainability goals; governmental policies that limit or forbid use of fossil-based cups; and easily accessible infrastructures at the consumer level for the collection, separation, and processing of biodegradable cups.

Deformations of smooth complete toric varieties: obstructions and the cup product

Let $X$ be a complete $\mathbb{Q}$-factorial toric variety. We explicitly describe the space $H^2(X,T_X)$ and the cup product map $H^1(X,T_X)\times H^1(X,T_X)\to H^2(X,T_X)$ in combinatorial terms. Using this, we give an example of a smooth projective toric threefold for which the cup product map does not vanish, showing that in general, smooth complete toric varieties may have obstructed deformations.

An effective proof of the Cartan formula: The even prime

The Cartan formula encodes the relationship between the cup product and the action of the Steenrod algebra in Fp-cohomology. In this work, we present an effective proof of the Cartan formula at the cochain level when the field is F2. More explicitly, for an arbitrary pair of cocycles and any non-negative integer, we construct a natural coboundary that descends to the associated instance of the Cartan formula. Our construction of Cartan coboundaries works for general algebras over the Barratt-Eccles operad, in particular, for the singular cochains of spaces, a case for which we have developed open source software.

Gerstenhaber algebra structure on the cohomology of a hom-associative algebra

A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. In this paper, we define a cup product on the cohomology of a hom-associative algebra. A direct verification shows that this cup product together with the degree $$-1$$ graded Lie bracket (which controls the deformation of the hom-associative algebra structure) on the cohomology makes it a Gerstenhaber algebra.

The Hochschild cohomology ring of a global quotient orbifold

We study the cup product on the Hochschild cohomology of the stack quotient [X/G] of a smooth quasi-projective variety X by a finite group G. More specifically, we construct a G-equivariant sheaf of graded algebras on X whose G-invariant global sections recover the associated graded algebra of the Hochschild cohomology of [X/G], under a natural filtration. This sheaf is an algebra over the polyvector fields TXpoly on X, and is generated as a TXpoly-algebra by the sum of the determinants det⁡(NXg) of the normal bundles of the fixed loci in X. We employ our understanding of Hochschild cohomology to conclude that the analog of Kontsevich's formality theorem, for the cup product, does not hold for Deligne–Mumford stacks in general. We discuss, in the case of a symplectic group action on a symplectic variety X, relationships with orbifold cohomology and Ruan's cohomological conjectures. In describing the Hochschild cohomology in the symplectic situation, we employ compatible trivializations of the determinants det⁡(NXg), which requires (for the cup product) a nontrivial normalization missing in previous literature.

Products of real equivariant weight filtrations

We first show the existence of a weight filtration on the equivariant cohomology of real algebraic varieties equipped with the action of a finite group, by applying group cohomology to the dual geometric filtration. We then prove the compatibility of the equivariant weight filtrations and spectral sequences with Kunneth isomorphism, cup and cap products, from the filtered chain level. We finally induce the usual formulae for the equivariant cup and cap products from their analogs on the non-equivariant weight spectral sequences.

Roll-drawing of cup with thick wall

A new method of roll-drawing is proposed for the forming of cup with thick curved outer wall. The roll-drawing is compared with the traditional drawing by numerical simulation. The results show that the weight of billet can be reduced by the presented process comparing with the traditional process and the reducing amount will increase with the increasing of the length of curved outer wall. The roll-drawing force can be reduced by about 50% compared with that of traditional drawing and the friction between the roller and the billet is changed from the traditional sliding friction to the rolling friction, which will improve the die life of roll-drawing. Experiment results show that roll-drawing can be used for the production of cup with thick curved outer wall and has the same forming productivity with traditional drawing.