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Without loss of generality (often abbreviated to WOLOG, WLOG or w.l.o.g.; less commonly stated as without any loss of generality or with no loss of generality)...

version of uncle. There was a WLOG member's badge in blue enamelled metal featuring the long ears of Wilfred. Among the WLOG rules was one to never eat rabbit...

WFBM-LP WFTE WGEV WHYU-LP WHZN WISL WJMW[citation needed] WKVR-FM WKZV WLAN WLOG WNAP WNCC WOYL WPAM WPLY WQLE WQDD-LP[citation needed] WQZS WRDD WSAJ WTAC...

WZXX (88.5 FM) is a radio station broadcasting a Christian radio format. Licensed to Lawrenceburg, Tennessee, United States, the station is currently owned...

similar purpose to the more common phrase, "without loss of generality" (WLOG). The legal use of the term is somewhat specialized. As glossed by Shira...

totally ordered set such as R {\displaystyle \mathbb {R} } , we may assume WLOG that the observations have been sorted so that x 1 ≤ x 2 ≤ ⋯ ≤ x n {\displaystyle...

13th, 2022. https://www.seoul.co.kr/news/newsView.php?id=20220314031019&wlog_tag3=naver Li, Xiaoqiong; Liu, Daqun (8 March 2022). "Nutritional Content...

Gaussian integers, we get the case b = 1 + i and b = 1 − i, and can ask (WLOG) for which n the number (1 + i)n − 1 is a Gaussian prime, which will then...

)\neq 0} , and ω ( w 1 , w 1 ) = 0 {\displaystyle \omega (w_{1},w_{1})=0} , WLOG ω ( w 1 , w 2 ) ≠ 0 {\displaystyle \omega (w_{1},w_{2})\neq 0} . Now scale...

scaling on the roots of f {\displaystyle f} and f ′ {\displaystyle f'} . Thus, WLOG, we let the Steiner inellipse's focal points be on the real axis, at ± c...

\square } Proof of theorem We first prove the second case. (See the diagram.) WLOG, A {\displaystyle A} is compact. By the lemma, there exist points a 0 ∈ A...

Var[\tau _{A}]=2(2n+5)/9n(n-1)} . Proof Proof Valz & McLeod (1990; 1995) WLOG, we reorder the data pairs, so that x 1 < x 2 < ⋯ < x n {\textstyle x_{1}<x_{2}<\cdots...

. If y = 0 {\textstyle y=0} , the argument is symmetric, so we omit it. WLOG, y = 1 {\textstyle y=1} , then f w t ( x ) = 0 {\textstyle f_{w_{t}}(x)=0}...

in R S {\displaystyle R_{S}} , the other in R T {\displaystyle R_{T}} ; w.l.o.g., suppose it begins in R S {\displaystyle R_{S}} . If every edge on P is...

the strip [ 0 , t ] × R {\displaystyle [0,t]\times \mathbb {R} } . Proof WLOG, scale f {\displaystyle f} on the x-axis and y-axis, so that f {\displaystyle...

loss of generality. wff – well-formed formula. whp – with high probability. wlog – without loss of generality. WMA – we may assume. WO – well-ordered set...

have ( I − C ) ( x n − m n ) → y {\textstyle (I-C)(x_{n}-m_{n})\to y} . So WLOG, ( x n ) n {\textstyle (x_{n})_{n}} is bounded. Then compactness of C {\textstyle...

to GLn. — Igor Shafarevich (1991, p.12) without (any) loss of generality (WLOG, WOLOG, WALOG), we may assume (WMA) Sometimes a proposition can be more easily...

adjacent vertices u , v {\displaystyle u,v} with opposite labels. Assume w.l.o.g. that the labels are l ( u ) = 1 , l ( v ) = − 1 {\displaystyle l(u)=1...

{\displaystyle L^{2}(\mathbb {R} ^{n})} ⁠. Rigged Hilbert space Wave packet w.l.o.g., f is real-valued, as any complex-valued function can be split into its...

( A ) ∪ L ( B ) . {\displaystyle L(A)\cup L(B).} Proof: If we assume, w.l.o.g., Q A ∩ Q B {\displaystyle Q_{A}\cap Q_{B}} is empty then L ( A ) ∪ L (...

Since we can always go down to the affine span of A {\displaystyle A} , WLOG, the relative interior has dimension n {\displaystyle n} . Now let K j ≡...

radiation, one of the incoming particles emit radiation (such as a photon, wlog) before the interaction with the others, so reduces the beam energy prior...

{\displaystyle |\operatorname {tr} (AB)|\leq \|A\|_{S^{p}}\|B\|_{S^{q}}} Proof WLOG, B {\textstyle B} is diagonalized, then we need to show | ∑ i B i i A i i...

, v i ⟩ = 0 {\textstyle \langle {\dot {v}}_{i},v_{i}\rangle =0} . Thus, WLOG, we assume that ⟨ u ˙ i , u i ⟩ = 0 {\textstyle \langle {\dot {u}}_{i},u_{i}\rangle...

\epsilon B\cos(\tau +\phi )} term into x 0 {\displaystyle x_{0}} , so we can WLOG have just x 1 = − 1 4 sin ⁡ ( 3 τ ) {\displaystyle x_{1}=-{\frac {1}{4}}\sin(3\tau...

}X_{n}} converges in R {\displaystyle \mathbb {R} } almost surely. Assume WLOG μ n = 0 {\displaystyle \mu _{n}=0} . Set S N = ∑ n = 1 N X n {\displaystyle...

indicial equation and the coefficients describe a polynomial recursion. W.l.o.g., assume ξ = 0 {\displaystyle \xi =0} . If 0 {\displaystyle 0} is an ordinary...

{\displaystyle v} case is found by − i f = v − i u {\displaystyle -if=v-iu} . WLOG, subtract a constant away, to get f ( 0 ) = 0 {\displaystyle f(0)=0} . Do...

performer on radio station WCMI in Ashland, Kentucky in 1939. Soon, he moved to WLOG in Logan, West Virginia and their "Saturday Jamboree". Six months later,...

Teddy Tail with the Teddy Tail League, Pip, Squeak and Wilfred with the WLOG and Bobby Bear with the Bobby Bear Club, Japhet and Happy also had a club...

the remaining objects to the remaining agents. Therefore, we can assume w.l.o.g. that: r {\displaystyle r} -fraction MMS : the value of each object for...

list (link) café, Claudio Antonio Diaz MuñozCEO y Director General de Star Wlog Soy un adicto al; Libros, A Los; Trek, y un fanático de Star; Sharknado,...

⋅ ) {\displaystyle k(\cdot ,\cdot )} has a value. Note that one player (WLOG Y {\displaystyle Y} ) is forbidden from using a pure strategy. Parthasarathy...

c_{k}f_{k}} , and both sides of the equation would remain unchanged. Thus WLOG, scale each f n {\displaystyle f_{n}} to p n {\displaystyle p_{n}} . Since...

we have f 0 ( x ) = λ 0 {\displaystyle f_{0}(x)=\lambda _{0}} , so we may WLOG assume that λ 0 = 0 , f 0 = 0 {\displaystyle \lambda _{0}=0,f_{0}=0} . Similarly...

division exists.I.e, the necessary condition is also sufficient. Suppose w.l.o.g. that V 1 ≠ V 2 {\displaystyle V_{1}\neq V_{2}} . Then there is some piece...

Futuna Islands (ISO 3166 trigram) wln – (s) Walloon language (ISO 639-2 code) WLOG – (i) Without Loss Of Generality (see WOLOG) WM – (i) Wehrmacht Marine (German...

some αj,βj ∈ {0,1}. Let r be the largest integer such that αr ≠ βr. Assume WLOG that αr = 1. It follows that zr = zp−αp·zp-1−αp-1·...·z1−α1·z1β1·z2β2·.....

edge, if and only if it connects a node in Tx with a node in Ty. Suppose wlog that Tx is the smaller tree (i.e. contains at most half the nodes of T; we...

terms) in terms of the ℓp norm of the full sequence and a rate of decay. W.l.o.g. we assume that the sequence ( a i ) i ∈ I {\displaystyle (a_{i})_{i\in...

mundo: Los Años Salvajes llega a BAFICI y CLAP antes de su estreno". StarWlog (in Spanish). Retrieved 12 April 2025. Dalton, Ben. "Tallinn Black Nights...

Selfridge–Conway discrete procedure). C. Now the trimmings are divided. Assume w.l.o.g. that #3 took the trimmed piece. We use Austin's procedure again with the...

contains either at most one project {a,b,c} or at most one project {d,e,f}. W.l.o.g. suppose the former, and suppose that b and c are not funded. Then voters...

order-structure of Turing degrees is quite complicated, even among enumerable sets. WLOG, we assume that C {\displaystyle C} is enumerated as C 0 ⊊ C 1 ⊊ C 2 ⊊ ⋯...

ask either Alice or George to cut a certain piece to two pieces. Suppose w.l.o.g. that the cutter is George and that he cuts piece X to two sub-pieces:...

after WAYD/Auburn and WCVK, along with W203BI, which was a translator of WLOG of Markleysburg, Pennsylvania. WSGJ-LP has also become the fifth low-powered...

are dealing with the problem of halting on an empty input we may assume w.l.o.g. that Δ={0,1} and that 0 represents a blank, while 1 represents some tape...

mundo: Los Años Salvajes llega a BAFICI y CLAP antes de su estreno". StarWlog (in Spanish). Retrieved 2025-04-12. Naranjo, René (2024-10-14). "En Valdivia...

{\displaystyle D} may instead be replaced with { 0 } . {\displaystyle \{0\}.} Assume WLOG that X = span ⁡ D . {\displaystyle X=\operatorname {span} D.} Since D {\displaystyle...

preferences, d0 prefers either his hospital in A or his hospital in B; suppose w.l.o.g. that he prefers his hospital in B, and denote this hospital by h1. All...

positive, divide and choose is PO and proportional for two agents. Suppose w.l.o.g. that Alice cuts, George chooses the leftmost piece and Alice gets the...

time after manipulation, so the outcome remains the same. Otherwise, assume wlog that sumj yj > 0. Then the sum of medians at time t* (after manipulation)...

and thus the greedy algorithm finds the exact MDS. To see this, assume w.l.o.g. that the intervals are vertical, and let x be the interval with the highest...

supplies. The resources can be divisible (in which case, their supply is w.l.o.g. normalized to 1), or indivisible . A bundle is represented by a vector...

neighbors of X in Y). Hence, a non-empty envy-free matching exists. Suppose w.l.o.g. that the EFM matches agents 1,...,k to pieces X1,...,Xk, and leaves unmatched...

process (i.e. integrated Brownian motion) . For simplicity we can set w.l.o.g. d = 1 {\displaystyle d=1} . The q-times Integrated Wiener process (IWP)...

ax=VAlice(X) and bx=VBob(X) and ay=VAlice(Y) and by=VBob(Y), and assume w.l.o.g. that: bx > ax, which implies: by < ay. The idea is to partition X and...