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An analogue of Ogus’s theorem for certain hypergeometric curves
No full textFor a family whose Picard–Fuchs equation is given by a certain hypergeometric differential equation, we express the Frobenius action on the de Rham cohomology as products of p-adic gamma values. Such an expression is known in specific cases, namely Fermat curves and CM elliptic curves, but remains unknown in general. The main result of this paper provides new examples. The idea of the proof is to reduce the statement to the case of CM elliptic curves by using a transformation formula for hypergeometric functions
An Exploratory Study on Creating Safe Spaces for Children through Music: Insights from the Narratives of After-School Childcare Staff
Full text linkPoints to consider in experimental guidance for the 6th grade elementary school unit "Use of Electricity"
Full text link小学校第6学年「電気の利用」単元では，手回し発電機や電気二重層コンデンサーを用いて実験を行うが，これらの器具類は児童にとって馴染みがなく，教員にとっても扱いが難しいとされている。教科書とおりに実験してもうまく結果が出ず，指導するのが難しいとも指摘されている。実験がうまくいかない原因の一つとして，実験指導の際に児童に対しての科学的な説明が不足することで，教員の指示の科学的な意味を児童が理解しないまま操作的に実験をしていることが可能性として考えられる。児童が操作的に実験をしているとすれば，たとえ実験結果が得られたとしても学習内容を理解することに繋がらない場合もあると推察される。教員養成系学部1年生を対象とした本単元の学習内容の理解度に関する質問紙調査の結果，実験結果を問う問題の正答率に比べ，実験方法や実験結果の理由を問う問題の正答率が低かったことから，実験の結果のみを覚えているだけで科学的な理由付けができていなかった状況があったと推察される。本単元で児童が器具類の操作上の留意点や実験条件を科学的に理解して実験を行うには，事前に各種負荷（豆電球・モーター・発光ダイオード）を乾電池に接続してそれぞれの特性を確認し，十分に理解しておく必要があると考えられる。本稿では，まず第4学年「電流の働き」単元に立ち返って乾電池の直列つなぎ・並列つなぎの電源電圧について学習し，次に児童に対して手回し発電機による発電，およびコンデンサーの蓄電・放電における器具類操作上の留意点と実験条件を科学的な説明をしたうえで実験を行う展開を検討した
<論文>Lookism and Lacan—From Division (Adolescence) to Reunification (The Substance)
No full textIn this paper I try to demonstrate the vicissitudes of the signified and its similar concepts like the image, the imaginary, the type, the ideal ego, énoncé, etc., under the psycho-linguistic supremacy of the signifier like the symbolic, the individual, the ego ideal, énonciation, etc., and to show, with the assistance of Jacques Lacan and Christian Fierenz, that the signified and the signifier, though mutually exclusive, are not distinct from each other, but are rather connected in a loop (or what Lacan calls the “Internal Eight”). Their relationship thus conceptualized finds their corresponding psychic energies in drive and desire, which are located in the top and the bottom of Lacan’s Graph of Desire, but which are also reconceptualized as the ideal ego and the ego ideal in his “Optical Diagram.” The signified turning out to be the signifier and vice versa have become a major narrative motif in the recent media culture, and I examine the Netflix crime drama series Adolescence (2025) and the horror movie The Substance (2024). In both works, the signified (incel and manosphere in the former, lookism and ageism in the latter) turns against itself turns into an isolated signifier, i.e., a signifier that represents nothing but itself and contradicts its own definition as one in a chain of signifiers (the thirteen-year-old incel protagonist kills a classmate and isolates himself as a “murderer,” the aging celebrity reproduces her younger version, but the two of her cannot live together, and results in their mutual destruction, thus annulling the beauty and youth all at once.
＜Article＞The Treatment for The Constitution of Japan in Subject “Politics and Economies” of Recent Entrance Examinations of Private Universities III
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Synergistic Functional Spectrum Analysis: A Framework for Exploring the Multifunctional Interplay Among Multimodal Nonverbal Behaviours in Conversations
No full textA novel framework named the synergistic functional spectrum analysis (sFSA) is proposed to explore the multifunctional interplay among multimodal nonverbal behaviours in human conversations. This study aims to reveal how multimodal nonverbal behaviours cooperatively perform communicative functions in conversations. To capture the intrinsic nature of nonverbal expressions, functional multiplicity, and interpretational ambiguity, e.g., a single head nod could imply listening, agreeing, or both, a novel concept named the functional spectrum, which is defined as the distribution of perceptual intensities of multiple functions by multiple observers, is introduced in the sFSA. Based on this concept, this paper presents functional spectrum corpora, which target 44 facial expression and 32 head movement functions. Then, spectrum decomposition is conducted to reduce the multimodal functional spectrum to a synergetic functional spectrum in a lower dimension functional space that is spanned by functional basis vectors representing primary and distinctive functionalities across multiple modalities. To that end, we propose a semiorthogonal nonnegative matrix factorization (SO-NMF) method, which assumes the additivity of multiple functions and aims to balance the distinctiveness and expressiveness of the factorization. The results confirm that some primary functional bases can be identified, which can be interpreted as the listener’s backchannel, thinking, and affirmative response functions, and the speaker’s thinking and addressing functions, and their positive emotion functions. In addition, regression models based on convolutional neural networks (CNNs) are presented to estimate the synergistic functional spectrum from the head poses and facial action units measured from conversation data. The results of these analyses and experiments confirm the potential of the sFSA and may lead to future extensions
Silica-Immobilized Pd–Amine Catalysts for Suzuki–Miyaura Coupling with Catalytic Amounts of Base
No full textSuzuki–Miyaura coupling is a robust method for constructing C-C bonds. Typically, stoichiometric amounts of base are required. However, high pH conditions can lead to the protodeboronation of several substrates and generate stoi-chiometric waste salt from the additive base. Here, we present a Pd-amine co-immobilized catalyst enabling SMC with a cat-alytic amount of base; the amount of cross-coupling product was 18-times higher than that of co-immobilized amines. Further, the use of a co-immobilized amine with a hydrophobic alkyl chain and water-based solvent effectively removed acid byprod-ucts from the Pd active species on the support surface, resulting in a high coupling product yield. The immobilized catalyst was characterized by elemental analysis, solid-state NMR, and X-ray absorption fine structure spectroscopy. Additionally, X-ray photoelectron spectroscopy, powder X-ray diffractometry, and transmission electron microscopy measurements revealed the in situ formation of Pd nanoparticles as the active species. Crucially, this system facilitates reactions even in the presence of aryl halides with acidic substituents