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英語 高校生

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ⅡI. 次の英文の空欄 ( 11 ) から ( 30 )に入る最も適切な語句を, a.〜d.の中から 1つ選びなさい。 解答は解答用紙1枚目 (マークシート方式)の所定の解答欄にマークし なさい。 Huy Fong Foods, the southern California company that produces 20 million bottles of sriracha (1) annually, has experienced a low ( 11 ) of red jalapeño chili peppers in recent years made worse by spring's crop failure. What is the cause? ( 12 ) weather and drought (2) conditions in Mexico. It's not (13) chili peppers. Mustard producers in France and Canada said extreme weather caused a 50% reduction in seed production last year, ( 14 ) to a shortage of the condiment on grocery store shelves. Blistering heat, stronger storms, droughts, floods, fires and changes in rainfall (15) are also affecting the cost and availability of staples, including wheat, corn, coffee, apples, chocolate and wine. The climate crisis is increasing the intensity and ( 16 ) of extreme weather events — and it's putting food production at risk. "Almost everything we grow and ( 17 ) in the US is facing some climatic stress," said Carolyn Dimitri, nutrition and food studies professor at NYU. Wheat and other grain crops are particularly ( 18 ). In the Great Plains region, (19) most of the US's wheat is harvested, drought depressed the winter crop. Farmers are abandoning farmland used for growing winter wheat in the US-primarily in Texas and Oklahoma - at the highest rate since 2002. Meanwhile in Montana, flooding is (20) grain crops. The impact of the climate crisis on grain crops ( 21 ) beyond the US. In India, a fierce heatwave damaged the wheat crop ( 22 ) record-setting temperatures throughout the spring and summer. As Delhi hit 49°℃ in May, the government placed a ( 23 ) on wheat exports, driving up prices even further than the rise following Russia's invasion of Ukraine. Food production is a driver of the climate crisis and a (24) of it. ( 25 ) the food system will require a wide variety of actions, including increasing crop diversity, delivering climate (26) to farmers around the world, expanding conservation programs and offering growers insurance that pays out when an index such as rain or wind speed falls above or below a fixed limit. The Biden administration is supporting research into "climate-smart" agriculture, an approach to managing cropland, forest, fisheries and cattle that attempts to address the intersecting challenges of the climate crisis and food ( 27 ). In May, the UN secretary general, António Guterres, said that climate-related disasters and extreme weather were a driver of global hunger and that 1.7 billion people ( 28 ) by the climate crisis over the last decade. Experts say (29) action is taken, we can expect to see increased food prices, decreased availability and conflict over water, which will primarily affect poorer countries and low-income Americans, (30) everything from school lunches to food aid programs. © Copyright Guardian News & Media Ltd 2023 (1) sriracha (2) drought かんばつ 世界中で人気のチリソース

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数学 大学生・専門学校生・社会人

問題としてはこのURLのやつでexercise2.2.9の問題です。 2.2.9. Define T : ℓ^2(Zn ) → ℓ^2(Zn ) by (T(z))(n) =z(n + 1) − z(n). Find all eigenvalues of T.... 続きを読む

16:22マ l 全 の Exerc: 164/520 matrices, convolution operators, and Fourier r operators. 2.2.9. Define T:l'(Zn) - → e°(ZN) by ニ Find all eigenvalues of T. 2.2.10. Let T(m):e'(Z4) → '(Z) be the Fourier multipliei (mz)' where m = (1,0, i, -2) defined by T (m)(2) = i. Find be l(Z4) such that T(m) is the convolutior Tb (defined by Th(Z) = b*z). ii. Find the matrix that represents T(m) with resp standard basis. 2.2.11. i. Suppose Ti, T2:l(ZN) → e(ZN) are tra invariant linear transformations. Prove that th sition T, o T, is translation invariant. ii. Suppose A and B are circulant NxN matric directly (i.e., just using the definition of a matrix, not using Theorem 2.19) that AB is Show that this result and Theorem 2.19 imp Hint: Write out the (m + 1,n+1) entry of the definition of matrix multiplication; compare hint to Exercise 2.2.12 (i). iii. Suppose b,, bz e l'(Zn). Prove that the cor Tb, o Tb, of the convolution operators Tb, and convolution operator T, with b = 2 bz * b.. E Exercise 2.2.6. iv. Suppose m,, mz € l"(Z). Prove that the cor T(m2) ° T(m) and T(m) is the Fourier multiplier operator T) m(n) = m2(n)m」(n) for all n. v. Suppose Ti, T2:l"(Zw) → e'(Zn) are linear tra tions. Prove that if Ti is represented bya matri respect to the Fourier basis F (i.e., [T; (z)]F =A Tz is represented by a matrix Az with respect t the composition T20T, is represented by the ma with respect to F. Deduce part i again. Remark:ByTheerem 2.19, we have just proved of the Fourier multiplier operat Aresearchgate.net - 非公開

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