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spectrum
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     The spectrum of the B(?)
     B(?)
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     SPECTRUM AUTOCORRELATION
     谱自相关
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  spectrum
Singularity spectrum of multifractal functions involving oscillating singularities
      
We compute their H?lder regularity and oscillation at every point and we deduce their spectrum of oscillating singularities.
      
If these functions form an orthogonal basis for (Ω), when λ ranges over some subset Λ in ?d, then we say that (Ω, Λ) is a spectral pair, and that Λ is a spectrum.
      
In this work we obtain Paley-Wiener type theorems where the Fourier transform is replaced by transforms associated with self-adjoint operators on Ldμ2, with simple spectrum, where dμ is a Lebesgue-Stieltjes measure.
      
The notions of localization and related approximation properties are a spectrum of ideas that quantify the degree to which elements of one frame can be approximated by elements of another frame.
      
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The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble...

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble and Humason's velocity-distance relation. The second part is a correction which amounts to 11.5% for d2x10~8 l.y. and hence lies within observational error of the present Mt. Wilson 100-inch telescope. The theory shows that both Milne's recent Newtonian theory of the expanding universe and Lemaitre's interpretation of tha velocity-distance are first order approximations and are valid only within 2xl08 l,y. from our galaxy. The calculation for the phenomsna of nebular recession beyond 2xl08 l.y. to be observed by the 200-inch telescope now under construction according to the present scheme will be presented in the near future.

本文用安因斯坦力学及引力论解释宇宙之膨胀现象。从本文方程式中可证明雷猛德及米恒诸氏之学说皆为本文之近似值,而本文理论之能成立与否须恃200英寸反光镜完成后之观测云。

The absorption band of water vapor at 0.94 μ is studied photographically by means of a concave grating spectrometer. Twenty eight component lines are observed and measured on a comparator as well as on a Moll microphotometer. This band shows something of a doublet form which suggests that the H2O molecule has a triangular form with the oxygen atom at the vertex of an obtuse angle. The lines agree closely with some of the absorption lines in the solar spectrum as measured by Abney in 1880.

前之研究红外光谱者类多依赖热电堆以测定光谱内光能之分布。吾人咸知红外带状光谱之接近可见部分者,其成分线排列甚密。若用热电堆万难分析而得其细微组织。作者所考察之光谱正在红外照相片感光范围之内,故得测定水汽带状光谱内各成分线之波长而具有1内之准确度。 作者所用分光仪器为一凹面光栅,其曲度半径为2公尺。该光栅面上每厘米划有线6000根,颇适合红外光谱之探讨。所用光源为一1000流明之电灯泡泡内有一一字形线圈灯丝,其所发之光穿过2公尺之105°—110℃水汽而交聚在分光仪之缝上。红外照相片经氨溶液之超度敏化后,即安置於已经配准之相片匣内,而使之感光。光之可见部分系用深红滤片割除。照光时间约 费四五十小时,然后除去滤片,照以水银光谱凡数秒,作为决定波长之标准。 用前法所摄得之光谱大都不十分清晰,其主要原因系由水汽管之太短。但用显微光度计量之,各成分线之波长不难准至1(?)范围以内。本实验所得各线若与五十年前Abney所测定太阳光谱中0.94μ附近之吸收线相比较,可见太阳红外光谱中许多吸收线系由大气中水汽所产生,而证实Abney最初之推想。惟本实验所测定之吸收线与Abney所测定太阳光谱中之对应黑线具有一等差数约合1.5...

前之研究红外光谱者类多依赖热电堆以测定光谱内光能之分布。吾人咸知红外带状光谱之接近可见部分者,其成分线排列甚密。若用热电堆万难分析而得其细微组织。作者所考察之光谱正在红外照相片感光范围之内,故得测定水汽带状光谱内各成分线之波长而具有1内之准确度。 作者所用分光仪器为一凹面光栅,其曲度半径为2公尺。该光栅面上每厘米划有线6000根,颇适合红外光谱之探讨。所用光源为一1000流明之电灯泡泡内有一一字形线圈灯丝,其所发之光穿过2公尺之105°—110℃水汽而交聚在分光仪之缝上。红外照相片经氨溶液之超度敏化后,即安置於已经配准之相片匣内,而使之感光。光之可见部分系用深红滤片割除。照光时间约 费四五十小时,然后除去滤片,照以水银光谱凡数秒,作为决定波长之标准。 用前法所摄得之光谱大都不十分清晰,其主要原因系由水汽管之太短。但用显微光度计量之,各成分线之波长不难准至1(?)范围以内。本实验所得各线若与五十年前Abney所测定太阳光谱中0.94μ附近之吸收线相比较,可见太阳红外光谱中许多吸收线系由大气中水汽所产生,而证实Abney最初之推想。惟本实验所测定之吸收线与Abney所测定太阳光谱中之对应黑线具有一等差数约合1.5(?)_0此等差数之产生想系由於波长单位之不同以及个别仪器误差所

Both sectorphotometer and microphotometer analyses were carried out on the Hg spectrum transmitted by papers popularly used as window materials in Chinese homes. The intensity distribution of transmitted radiation, after normal incidence, through samples of nine different kinds of paper have been studied, and the total transmission calculated for various wavelengths.

以水银灯为光源,正射於纸上,其透射部份,用分光摄影法定量。以分圆光度计(Sectorphotometer)及显微光度计(microphotometer)量出九种窗户纸之紫外线透射性。并实验各种纸之抗断强度及其纤维之构造等,俾得相当之评价。 通常窗户纸对於具有最高生理效用之紫外线(波长2967A.U.)之透射量可居百分之十九至四十一;我国南部之壳片窗亦可透射百分之二十。至於玻璃窗,其透射量则等於零。外国虽有特备之玻璃能透射百分之二十至八十之此种紫外线,但其价值殊昂,不能使其遍普应用,可见两者反不若我国之窗户纸为佳矣。 窗户纸中以平粉连纸透紫外线最多,如将纸上桐油,则可视线及紫外线之透射力,皆有可观之增加,同时亦可去潮湿以致易破之影响。倘以普通之豆油油之,则其易於变黄,并减低其紫外线透射力,甚不适宜也。 如欲得较完全之讨论,请参考陈尚义之硕士论文,现存於燕京大学图书馆。

 
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