if and only if 中文意思是什麼

if and only if 解釋
邏輯雙條件
  • if : n 條件，設想。 Dash these ifs 讓這一大堆「如果」見鬼去吧 There is no if in the case 這里沒有假定...
  • and : n. 1. 附加條件。2. 〈常 pl. 〉附加細節。
  • only : adj. 1. 唯一的。2. 無比的，獨一無二的；最適當的。adv. 1. 僅僅；只，單，才；不過。2. 結果卻；不料。1. 但是，可是。2. 〈與 that 同用〉除了…；要不是…。
  1. Let f be a biquadratic polynomial, then ( 1 ) the julia set of f is connected if and only if the orbits of all critical pionts are bounded ; ( 2 ) the julia set of f is totally disconnected if and only if every connected component of the filled julia set of f containing critical points is not periodic under iterations : ( 3 ) if f does not satisfy the conditions ( 1 ) and ( 2 ), then the julia set of f has infinitely many non - trivial connected components, where a component is trivial if it contains only one point

    A集是完全不連通的當且僅當f的任何臨界聲、不屬于填充julm集的周期分支內。你當j的臨界盧、不滿足條件小， 」 j時， f的幾ha集有可數個非平凡的連通分支，這里，一個分支是平凡的，如果它僅由一個盧、組成。 。
  2. There ' s another logic operation called exclusive or, in which the compound sentence is false, not true, if and only if all the components are true

    還有另外一種邏輯操作叫做異或：當且僅當所有的成員為真時，結果才為假。 」
  3. It is proved that strong countable compact set is a strong fuzzy paracompact if and only if it is a strong fuzzy compact, strong fuzzy compact set and fuzzy unit interval are strong fuzzy paracompact, the product of a strong fuzzy compact set and a strong paracompact set is strong fuzzy paracompact, a strong t2strong fuzzy paracompact space is strong 5 - regular and strong s - normal, a strong 5 - regula

    證明了每個強fuzzy緊集和fuzzy單位區間i廠）都是強fumy仿緊的；強fuzzy緊集和強fuzzy仿緊集的乘積是強fuzzy仿緊集；強tz的強fuzzy仿緊空間是強s 「一正則的；強tz的強fuz 。
  4. Theorem 4 space x is a cosmic space if and only if x is a - compact space with a - weakly hereditarily closure - preserving pair - networks

    ， x 。具有。遺傳閉包保持雙網路當且僅當或者每x 『 ，是cosmic空間且除可數個a外， x 。
  5. In other words, d. burke and r. engelking and d. lutzer proved that a regular space is metrizable space if and only if it has a - hereditarily closure - preserving base in 1975, and introduced weakly hereditarily closure - preserving families, which proved that a regular k - space has - weakly hereditarily x closure - preserving bases is metrizable space, too

    Burke ， r engelking和d lutzer證明了正則空間是可度量化空間當且僅當它具有遺傳閉包保持基，並引入了弱遺傳閉包保持集族（ weaklyhereditarilyclosure - preservingfamilies ） ，同時證明了具有弱遺傳閉包保持基的正則的k空間是可度量化空間。
  6. Theorem 1. 3. 3 5 is an a - idempotent semiring, then 5 is a normal idem - potent semiring, if and only if s is a strong semilattice idempotent semiring of rectangular idempotent semirings

    定理j設s是人一冪等半環，則s是正規冪等半環，當且僅當s是矩形冪等半環的強半格冪等半環
  7. With relations of operators and matric, we will show that the inverse a - 1 of positive operator a is still a positive operator if and only if that a is a generalized permutation

    利用運算元和矩陣的關系，得到正運算元t的逆是正運算元的充要條件是t是廣義置換運算元。
  8. Theorem 2. 4 let g be a non - abelian inner - finite group, each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer

    4設g是非阿貝爾的內有限群，則g的每個非平凡真子群都是素數階循環群的充分必要條件是g是單群， g的每個真子群冪零且g的每個非平凡的真子群自正規化定理2
  9. In 1996, guo [ 9 ] has further proved that the index of the normalizer of every sylow subgroup of g is an odd number or a prime if and only if g is a soluble group and g = kh, where k and h are the hall subgroups of g, k is a nilptent subgroup which is normal in a 2 ' - nilpotent. in this paper, we shall study the nilpotent length of finite groups whose sylow normalizer indices are of prime powers

    1996年，郭文彬教授沙1證明了一個群g的西洛子群的正規化子的指數為奇數或為一個素數冪當巨僅當g為可解群而且g二尤廳，其中k和h都是群g的hall一子群， k是正規于g的一個2 』一月恤21子群的冪零子群， h是2一冪零群。
  10. Two sets are said to be equivalent if and only if they can be placed in one-to-one correspondence.

    當且僅當兩個集合中的元素一一對應時，才稱它們為等勢。
  11. At first a lot of new characterizations of gorenstein injective modules are given, then the author claim that a ring r is qf if and only if every left ( or right ) r - modules are gorenstein injective, and then show that if r is two - side noetherian, r is n - gorenstein if and only if every n - th cosyzygy of an injective resolution of a left ( and right ) r - module is gorenstein injective if and only if every n - th syzygy of an injective resolvent of a left ( and right ) right module is gorenstein injective. finally, we prove that for an n - gorenstein ring r with n > 0, every module can be embedded in a gorenstein injective module and the injective dimension of its cokernel is at most n - 1

    首先給出了gorenstein內射模的許多新的刻畫，推出了環r是qf環當且僅當每個左（右）的r -模的單邊內射分解式的第n個上合沖是gorenstein內射模，接著推出了左、右noether環只是n - gorenstein環當且僅當每個左（右）模的單邊內射分解式的第n個上合沖是gorenstein內射模當且僅當每個左（右）模的單邊內射預解式的第n合沖是gorenstein內射模，最後推出了n - gorenstein環中每個模都可嵌入到一個gorenstein內射模之中，且其上核的內射維數不大於n - 1 。
  12. Theorem 1 ( bounded sum test ) a series of nonnegative terms converges if and only if it ' s partial sums are bounded above

    定理1正項級數收斂的充分必要條件是：它的部分和數列有上界。
  13. Finally, we show that is a semilattice of groups congru - ence if and only if ( na ) u is a seminormal subsemigroup on 5, where pna is a group congruence on the semilattice congruence class sa of 5

    在這一章的最後文章緒出了半群s上的半格同燃so上的群同余pno的並i 』 upe成為s上的群的半格同余的充分必要條件為u （ na切oeyoey是s的半正規子半群
  14. The dyadic boolean operation whose result has the boolean value 1 if and only if the first operand has the boolean value 1 and the second has boolean value 0

    二元布爾運算，當且僅當第一個操作數具有布爾值1 ，第二個操作數具有布爾值0時，其結果才為布爾值1 。
  15. The dyadic boolean operation whose result has the boolean value 0 if and only if the first operand has the boolean value 0 and the second has the boolean value 1

    一種二元布爾運算，在這種運算中，當且僅當第一個操作數的布爾值為0 ，第二個操作數的布爾值為1時，其結果的布爾值才為0 。
  16. Theorem 1 and are equivalent infinitesimals if and only if

    定理1與是等階無窮小的充分必要條件為
  17. In this paper it is shown that a partial toeplitz pattern has a toeplize positive definite completion if and only if the diagonals for the specified entries are 0, t, 2t, . ., pt ( in which the main diagonal is numbered 0 )

    本文討論部分toeplitz正定陣的toeplitz正定完成問題，證明了一個部分正定toeplitz模式存在正定toeplitz完成的充分必要條件是已知元所在對角線的標號成等差數列。
  18. On [ a, b ] the product l = l2 lt of operator l { and l2 is selfadjoint if and only if 4

    討論一類兩個四階對稱微分算式生成的積運算元的自伴性； 4
  19. We prove that m has property ( p ) if and only if ( 11 ) let m be as in ( 10 ) then m and every weakly closed subspace including m have proverty ( p ) if and only if for any t b ( h }, there exist x, y h. such that ( 12 ) let a be a completely distributive subspace lattice algebra acting on a hilbert space, then the rank one subalgebra of a is dense in a if and only if, the weak closures of the first and the second preannihilators of a in the space of all trace class operators are reflexive

    一弱閉運算元空間，稱州具有性質（ p ） ，如果州中秩一運算元生成的子空間在期中a一弱稠密.我們證得:川具有性質（ p ） ，等價于州: = { t丁扭） : tx任[州上習， z任火} . （ ll ）設川如（ l0 ）所述，則川以及包含川的每個a一弱閉子空間都具有性質（ p ） ，當且僅當，對任意t任側喲，都存在x ， ，任火使得t一x y州
  20. Then is a ci operator if and only if 2 ) if ( a ). then. 4 - a is a ci operator if and only if r ( a - a ) is not

    貝a人為q運算元一a人不是閉集，或者r卜一v一r卜一川ch
分享友人
分享到 Line

分享到臉書