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Such an action is called linearizable if it is equivalent to the restriction of a linear orthogonal action in the ambient affine space of the quadric.
      
We prove that if a reductive group action on an affine quadric with a 1-dimensional quotient has a linear model, then the action is linearizable.
      
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By surrounding a photo-neutron source of Ra+Ee with a thin spherical sbell of paraffin, a continuous spectrum of scattered neutrons, extending from zero energy to the energies of the primary neutrons is obtained. When a silver detector is exposed to such a spectrum, a part of the neutrons having just the energies at resonance with the silver nuclei is strongly absorbed by the detector and thereby produces the induced β-activity. By measuring the activity of silver and the apparent absorption coefficient of the...

By surrounding a photo-neutron source of Ra+Ee with a thin spherical sbell of paraffin, a continuous spectrum of scattered neutrons, extending from zero energy to the energies of the primary neutrons is obtained. When a silver detector is exposed to such a spectrum, a part of the neutrons having just the energies at resonance with the silver nuclei is strongly absorbed by the detector and thereby produces the induced β-activity. By measuring the activity of silver and the apparent absorption coefficient of the resonance neutrons in a thin silver absorber, the total width of the resonance levels effective to neutron capture and located in the above spectrum is estimated. Let τ He the average value of one half of the half-value width of the resonance levels, expressed in volts, and n be the number of resonance levels here concerned. We find nτ=260 volts for the silver nuclei of half period 22" if the energies of the primary neutrons are taken to be 2x 105 volts. Knowing nτ, we can evaluate the average spacing between adjacent resonance levels effective to neutron capture by giving a plausible value to τ. We find a spacing of the order 80-800 volts if τ be given the value 0.1-1.0 volt. This result is in good accord with the recent theoretical calculation of Bethe and also with observations of resonance groups in the low energy region.

把‘镭—铍’所产生的‘光中子’,穿过一层半厘米厚的白蜡,我们便得到一‘连续的中子谱’。他们中间有些中子,能和银的原子核起‘共振作用’,因此可以被银片吸收,而产生‘人工放射银’先测量人工放射的强度和‘共振中子’在银片中的吸收率,再应用原子核内共振能层的宽度,我们便可以求出银的原子核内‘共振能层’的密度大约共振能在零和二十万伏特中间,平均每隔一二百伏特便有一可以吸收质子的共振能层,和理论很相符合。

1. The conformity of the pattern of Cicindela anchoralis to what has been considered typical of the genus becomes in- telligible if the middle band, which is undoubtedly the most variable of the markings of this species, is assumed to have shifted forward and to have developed extensions both cephaled and caudad along the lateral margin and on the disc of the eIytron.2. The variation of the pattern is of the continuous type and proceeds in one principal direction. As expected, some in- dividuals depart...

1. The conformity of the pattern of Cicindela anchoralis to what has been considered typical of the genus becomes in- telligible if the middle band, which is undoubtedly the most variable of the markings of this species, is assumed to have shifted forward and to have developed extensions both cephaled and caudad along the lateral margin and on the disc of the eIytron.2. The variation of the pattern is of the continuous type and proceeds in one principal direction. As expected, some in- dividuals depart from this main series, in one way or another and ten such sub-types have been recognized in this study. The range of variation is very considerable.3. The male sex is found to have a greater tendency to lose its pigmentation, and this fact is interpreted as indicating its having a more variable middle band.4. Mating between the different types is entirely at random, the frequency of any given combination is apparently a function of the abundance of the individuals in a given class.5. In describing the elytral pattern of this species, Chevrolat (1845) used these words: "vitta anchorali, cum lienola pone humerum (femina amplioribus); cupreis". He evidently had regarded as typical the pattern showing fullest pigmentation. The present study shows, on the other hand, that such a pat- tern, while most primitive, is not the most representative. The typical pattern is to be sought in Class Ⅳ, the model class. This last remark certainly has wider application and merits the consideration of taxonomists describing highly variable forms.

斑蝥科甲虫翅鞘色型之差異,在一部份種類中,極为顯著。本篇所論,根據中國种錨紋斑蝥,於廿二年夏採於厦門北岸,計雌雄共九百餘個,內有交配者六十二對,所得結論如下: (一)本種色型,甚为異特。若以美人薛福特氏所立之本屬理想模式色型推解,則其中間淡色横斑,較为移前,其左右則向上下分枝成H形。 (二)此種色型之變異為連續式仝趨一主要方向,但依其變異之分岐,可别为十種副式色型,詳情已於西文中加以討論。 (三)雄虫翅鞘之中間淡色横斑變異較大,其深色紋斑之傾向於縮小亦因之較雌性为甚。 (四)兩性交配,与色型之差異,全無關係。 (五)大部份個數皆呈現中間色型。其趨向於兩極端者(深色或淡色特别發達者)乃屬少数。因此分類學者於記述变異極大之種類時,應发中間色型者為代表。

The quantized energy values of an electron enclosed in a spherical box are calculated by solving Schrodinger's wave equation. The energy levels are very close together if the sphere is of ordinary dimensions. But as the radius of the sphere decreases toward atomic dimensions, the value of every energy level increases and the spread between the levels also increases.

本文以波力学讨论电子在球形范围内运动时之情况。由计算得知。如球形大时,则电子之能层甚为密接,如球形之半径缩小至原子大小之程度,则其每一能层之值增大而能层与能层间之间隔亦增大。

 
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