The speed of light is an invariant constant . 光速是一個(gè)不變常數(shù)。
The first invariant of strain is independent of the coordinate system being used . 第一應(yīng)變不變量與所用的坐標(biāo)系無關(guān)。
In other words, the hermiticity of a matrix is invariant under unitary transformations . 換言之,矩陣的厄密性在幺正變換下保持不變。
For a system, hamiltonian is invariant under any translation of spatial coordinates . 對于一體系,哈密算符在任何空間坐標(biāo)變換下是不變的。
One could consider invariant properties of figures under each of the above types of transformation . 可以在上述的每一類型變換下考慮圖形的不變性質(zhì)。
Since scalars are independent of the coordinate system, the dot product of two vectors is called a scalar invariant . 因?yàn)闃?biāo)量與坐標(biāo)系無關(guān),故兩個(gè)矢量的點(diǎn)積稱為標(biāo)量不變量。
Finally, since there is no absolute origin in time, all systems must be invariant under time displacements . 最后,因?yàn)闆]有絕對的時(shí)間原點(diǎn),所以任何系統(tǒng)在時(shí)間平移下一定不變。
One of the most important, most difficult, and most exasperating unsolved problems of operator theory is the problem of invariant subspaces . 算子理論中最重要、最困難也最令人煩惱的未解決問題之一就是不變子空間問題。
Between these two extremes there are the questions for which the answers are invariant under change of dimension, but the techniques are not . 在這兩個(gè)極端之間還有這樣的問題,當(dāng)維數(shù)改變時(shí)它們的解答不變,但(證明的)技巧則不然。
The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces . 取得這樣結(jié)果的最省力的嘗試是引用光譜定理而得到正規(guī)算子恒有非平凡不變子空間的結(jié)論。