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|General Wrestling Any non-WWE/TNA wrestling discussion goes in here. This includes wrestling history.
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|23 Oct 2010, 09:02 PM
|#1 (permalink)
Join Date: Apr 2010
Posts: 326Rep Power: 10
What do you think underrated and overrated wrestlers are?
People say Evan Bourne is underrated, Chavo Guerrero is underrated, John Morrison is underrated. Just because they don't always win and don't constantly win titles and haven't won a world title dosen't mean they are underrated. Evan Bourne has no mic skill, Chavo's time has passed and he is happy where he is right now (if he wasn't he would of quit), John Morrison is getting pushed and he also has ok mic skills probably enough to be world champion but be patient. Most people you guys think are underrated I think have some of these problems:
1. Their time has passed
2. They have no mic skill/charisma
3. They have problems with management
If they have none of those problems they should be world champion and the only person I agree on that is underrated is Christian, but maybe he dosen't want a push, you also have to think about what they want and remember that he left WWE to go to TNA.
As for overrated, John Cena was overrated I agree with that because of the things he has done the past 5 years, but Randy Orton is now overrated? He just did like 8 moves against Justin Gabriel and 7 (he didn't use 3 of those with Gabriel) with Kane. How is Orton overrated? Because he wins matches? I thought wrestlers were suppose to win. Most of you here are so ******* negative that you make winning sound bad. When he was a heel you guys were on his cock and saying he is one the greatest wrestlers and he turns face and you guys hate him and say he is overrated. I don't know what retard said that Orton had 5 moves but from then on people got on the bandwagon and said he had 5 moves and is overrated just for a reason to hate him. Also Sheamus is overrated? Sheamus is 1 of the most talented wrestlers in the WWE right now and Triple H made the right decision (as always) to push him. I wouldn't be suprised if John Morrison won a world title and people call him overrated or super Morrison.
What do you think underrated and overrated wrestlers are?
BQ: Q: Why do some people say Randy Orton has too much backstage power? Details: Does anybody know what he said or why he fired Kennedy? No they just read spoiler sites and assumed he fired him for whatever reason. Did anybody think he wanted Mr Kennedy fired because he was standing up for the locker room and making sure they didn't get injured because they are too much of ******* to go say it themselves?
How am I a cheater?
@Straight Edge Suicide, Can you stop being a dumbass and check my profile answers to see if I cheat?
I didn't see that but how does that make me a cheater. You think I would make 8 accounts to just star on a question and not cheat with them? I don't want to argue I'm not a cheater I don't care if you believe me or not.
|23 Oct 2010, 09:37 PM
|#7 (permalink)
Fresh Noob
Join Date: Oct 2010
Posts: 14Rep Power: 0
I think the real problem here is that the question should be who is OVER USED and who is UNDER USED
Keeping in mind that this is all orchestrated and story lined.
I dont really think that any of the wrestlers are over or under rated, they are all rated highly enough to appear in WWE.
OVER USED - Sheamus - Im sorry I just dont really like it when new star come in and get pushes before some of the other guys
Cena - He should take time out so someone else can step up - It isnt his fault though
UNDER USED - Christian and Jericho - both great athletes that should be holding serious gold - these two guys are great in the ring and on the mic.
The most under used wrestler ever would be Matt Hardy in my opinion
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|(WS) Which Were The Overrated Underrated Wrestlers Past Present?
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PDF Scientia Magna, Vol. 2, No. 1
Sir Charles A. Vector analysis and multiple algebra. Planetary Circulations Project. Scient: Webster's Timeline History - Scientia - 26 pages. Scientia atmospherica Sinica. Scientia Chimica by Franz Runge. Scientia Magna book series, Vol. Vasantha Kadasamy. Scientia Magna international book series , Vol. Zhang Wenpeng. Scientia Magna, international book series, Vol. Scientia Magna, Vol.
Scientia Nova. Scientia Sinica. Scientiae: Webster's Timeline History - Scientiarvm nvncivs radiophonicvs by Pontificia Accademia delle scienze nuovi Lincei. Scientific Advertising and The Psychology of Advertising. Scientific American. Scientific American by Scientific American, inc. Scientific American Hand-book. Scientific American Magazine Vol. Scientific American Magazine Volume 2, No. Scientific American Supplement.
Scientific American: Webster's Timeline History - Scientific and educational books and papers by James George Needham - 32 pages. I, II, , , and in the American exile - diary which is still going on. Literary experiments he realized in his dramas: Country of the Animals, where there is no dialogue! He stated:. Only their ideas and publications counted. We couldn't publish almost anything.
SCIENTIA MAGNA, book series, Vol. 2, No. 1
Then, I said: Let's do literature Let's write Simply: literature-object! Therefore, a mute protest we did! Later, I based it on contradictions. Because we lived in that society a double life: an official one - propagated by the political system, and another one real. In mass-media it was promulgated that 'our life is wonderful', but in reality 'our life was miserable'.
The paradox flourishing! And then we took the creation in derision, in inverse sense, in a syncretism way. Thus the paradoxism was born. The folk jokes, at great fashion in Ceausescu's 'Epoch', as an intellectual breathing, were superb springs. The "No" and "Anti" from my paradoxist manifestos had a creative character, not at all nihilistic.
In he was invited speaker in Brazil Universidad do Blumenau, etc. While "Paradoxist Distichs" introduces new species of poetry with fixed form. Eventually he edited three International Anthologies on Paradoxism with texts from about writers from around the world in many languages. The last drama, that pioneers no dialogue on the stage, was awarded at the International Theatrical Festival of Casablanca His first novel is called "NonNovel" and satirizes the dictatorship in a gloomy way, by various styles and artifice within one same style. His experimental albums "Outer-Art" Vol.
Art was for Dr. Smarandache a hobby. He did:. Levenard, I. Rotaru, A. Twelve books were published that analyze his literary creation, among them: "Paradoxism's Aesthetics" by Titu Popescu , and "Paradoxism and Postmodernism" by Ion Soare In he was nominated for the Nobel Prize in Literature. In mathematics he introduced the degree of negation of an axiom or of a theorem in geometry see the Smarandache geometries which can be partially Euclidean and partially non-Euclidean, , the multi-structure see the Smarandache n-structures, where a weak structure contains an island of a stronger structure , and multi-space a combination of heterogeneous spaces.
He created and studied many sequences and functions in number theory. He generalized the fuzzy, intuitive, paraconsistent, multi-valent, dialetheist logics to the 'neutrosophic logic' also in the Denis Howe's Dictionary of Computing, England and, similarly, he generalized the fuzzy set to the 'neutrosophic set' and its derivatives: 'paraconsistent set', 'intuitionistic set', 'dialethist set', 'paradoxist set', 'tautological set'. Since , together with Dr. In he designed an algorithm for the Unification of Fusion Theories and rules UFT used in bioinformatics, robotics, military.
In physics he found a series of paradoxes see the quantum smarandache paradoxes , and.
Also, considered the possibility of a third form of matter, called unmatter, which is combination of matter and antimatter or quarks and antiquarks :. In philosophy he introduced in the 'neutrosophy', as a generalization of Hegel's dialectic, which is the basement of his researches in mathematics and economics, such as 'neutrosophic logic', 'neutrosophic set', 'neutrosophic probability', 'neutrosophic statistics'. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra.
This theory considers every notion or idea together with its opposite or negation and the spectrum of "neutralities" i. The and ideas together are referred to as. Other small contributions he had in psychology:. Very prolific, he is the author, co-author, and editor of over books published by thirty five publishing houses such as university and college presses, professional scientific and literary presses, such as Springer Verlag in print , Univ.
Hundreds of articles, books, and reviews have been written about his activity around the world. The books can be downloaded from this. Digital Library of Science:. As a Globe Trekker he visited over 35 countries that he wrote about in his memories. International Conferences:. August , , organized by Dr. Seleacu, University of Craiova, Romania. In this paper, we will consider a structure of principal filter on po-semigroups. By using the relation N which is the smallest complete semilattice congruence on any po-semigroup S, we will observe that N on any po-semigroup S is the equality relation if and only if S is a semilattice and N is the universal relation if and only if S is the only principal filter.
We first recall some basic notions and terminologies from [2] and [7]. Suppose that S is a po-semigroup and T a subsemigroup of S. For every a S there is a unique smallest filter of S containing a, denoted by N a , which is called the principal filter generated by a. A congruence on a po-semigroup S is a semilattice congruence if for any a, b S, a2 , a and ab, ba. A semilattice congruence on S is called a complete semilattice congruence if for any a, b S, a b implies a, ab. According to [3], N on a po-semigroup S is the smallest complete semilattice congruence on S.
Then Na is a semiprime ideal of N a. S Lemma 2. Let S be a po-semigroup. Let S be a semilattice. Hence, [a is a subsemigroup of S. To prove that [a is a filter containing a, we suppose that b, c S such that bc [a.
SCIENTIA MAGNA, Vol. 2, No. 1 | Zenodo
This shows that b [a , c [a. Since [a [a always holds, [a is a filter containing a, as required. Let T be a filter containing a. By the definition of filters, we have [T T. Since a T , then [a [T T. Suppose that aN b for a, b S. This shows that S is a semilattice as required. Moreover, the partial order on S is the natural order of semilattice.
Theorem 4. Since N is the smallest complete semilattice congruence on S, it is trivial that i iii. Theorem 5. It is clear that S is a semilattice congruence S class of S and so b S. We have proved that Na S. Consequently, Na S. This is exactly the union of some N -classes. This implies that xy S S S and Y. Hence, xy T and T is a subsemigroup of S. Since Y is a semilattice, it is easy to see that Y and Y. Thus, we have x T and y T. This shows that xy S S S. Since is a complete semilattice congruence, we can see that xy, y. From y S , we immediately have xy S.
Hence, x T and [T T as required. We have shown that T is a filter. T is the union of all the S N -classes which are greater than Na. S Conversely, suppose that a, b and a S , then we have b S. The following Corollary is a direct result of Theorem 5.
Corollary 6. Corollary 7. Suppose that is a maximal element in Y. This shows that N a is a subsemigroup of S. From a S we know that S is not empty. The Hasse diagram of S is shown below. From the Cayley table above, we know that S is a semilattice. References [1] Kehayopulu N. Japonica, 36 , No. Gao and K. Shum, On cyclic commutative po-semigroups, PU. A, 8 , No. Cao and X. Xu, Nil-extensions of simple po-semigroups, Communications in Algebra, 28 , No. Howie, An introduction to semigroup theory, Academic Press, London, M, Yan J.
Z and K. Shum, On Principal Filters of Po-semigroups, to appear. In this paper, we studied the convergent property. In problem 27 of [1], Professor F. Smarandache ask us to study the properties of b2 n. About this problem, some authors have studied it, for example, Liu Hongyan and Gou Su [2] used the elementary method to study the mean value properties of b2 n and b2 1 n. Zhang Hongli and Wang Yang [3] studied the mean value of b2 n , and obtained an asymptotic formula by using the analytic method.
About this problem, many scholars have studied it and obtained some interesting results. For example, Xu Zhefeng [4] proved the following asymptotic formula: X nx 1 This. That is, we will prove the following: Theorem. Let k 2 be an integer, then for any real number 1, the infinity series. For additive square complements and additive cubic complements, we have the identities.
Proof of the theorem In this section, we will complete the proof of Theorem. Only problems, not Solutions, Xiquan Publ.
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Y and Gou S. On a problem of F. On the mean value of divisor function for square complements, Basic Science Journal of Textile University, 15 , On the additive k-th power complements, Research on Smarandache problems in number theory Collected papers , Hexis, , pp. On the asymptotic property of divisor function for additive complement, Research on Smarandache problems in number theory Collected papers , Hexis, , pp. China Abstract In this paper we give an explicit formula for the n times Smarandache reverse auto correlated sequence of natural numbers.
Recentely, Muthy [1] proposed the following conjecture: Conjecture. Murthy, Smarandache reverse auto correlated sequences and some Fibonacci derived Smarandache sequences, Smarandache Notions J. Niven, Formal power series, Amer. Monthly, 76 , This study conducted by Computer Algebra System namely, Maple 8.
Using the following procedure, we can verify the number of unrestricted partitions of the Smarandache numbers n is denoted by P s n. With the Maple V. Below the first Smarandache numbers verifying by the above procedure:. By using the above procedure, we can got the first partitions of Smarandache numbers as follows:. Now, the following procedure, we can verify the unrestricted partitions of the Smarandache numbers.
References [1] G. Monagan etc. Combining classical groups with Smarandache multi-spaces, the conception of multi-group spaces is introduced in this paper, which is a generalization of the classical algebraic structures, such as the group, the filed, the body, , etc.. Similar to groups, some characteristics of multi-group spaces are obtained in this paper.
Keywords multi-space; group; multi-group space; Jordan-H older theorem. Introduction The notion of multi-spaces is introduced by Smarandache in [5] under his idea of hybrid mathematics: combining different fields into a unifying field [6]. Today, this idea is widely accepted by the world of sciences. For mathematics, definite or exact solution under a given condition is not the only object for mathematician. New creation power has emerged. New era for mathematics has come now. A Smarandache multi-space is defined by Definition 1.
The conception of multi-group spaces is a generalization of the classical algebraic structures, such as the group, the filed, the body, , etc. Therefore, G1 is a multi-group subspace of G. For a finite multi-group subspace, we get the following criterion. A subset G f1 , G f1 ; is complete.
Notice that for a multi-group space G, complete. Whence, there exists an Since H T e Gi ; i. Whence, e y H. Then we get the following result by the previous proof. We have the following result. For the operation is Therefore, H e T Gi ; i is a normal subgroup chosen arbitrarily, we know that for any integer i, 1 i n, H of Gi ; i or an empty set. STEP 1: Construct a series e. G e 1l G 1 under the operation 1.
STEP 2: If a series e k1 l. This programming is terminated until the series e n1. G G n n 1 has be constructed under the operation n. The number m is called the length of the series of normal multi-group subspaces. For a series e. For a maximal series of finite then H normal multi-group subspaces, we have the following result. The proof is by the induction on the integer n. Assume the assertion is true for cases of n k. We prove it is also true in the case. Not loss of generality, assume the order of binary operations in O G being 1 2 n and the composition series of the group G1 , 1 being G1.
By Jordan-Holder theorem, we know the length of this composition series is a constant, dependent only on G1 ; 1. According to Theorem 3. Therefore, the length of a subspaces is only dependent on G 1 e maximal series of normal multi-group subspaces is also a constant, only dependent on G. Applying the induction principle, we know that the length of a maximal series of normal e e is a constant under an oriented operations multi-group subspaces of G O G , only dependent e on G itself.
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As a special case, we get the following corollary. Jordan-H older theorem For a finite group G, the length of the composition series is a constant, only dependent on G. Open Problems on Multi-group Spaces Problem 3. In group theory, we know the following decomposition results [1] and [3] for a group. Let G be a finite -group. Then G can be uniquely decomposed as a direct product of finite non-decomposition -subgroups.
Each finite Abelian group is a direct product of its Sylow p-subgroups. Then Problem 3. Whether can we establish a decomposition theory for multi-group spaces similar to above two results in group theory, especially, for finite multi-group spaces? Problem 3. For finite multi-group spaces, whether can we find all simple multi-group spaces? For finite groups, we know that there are four simple group classes [9] : Class 1: the cyclic groups of prime order;.
Class 2: the alternating groups An , n 5; Class 3: the 16 groups of Lie types; Class 4: the 26 sporadic simple groups. Problem 2. Then Problem 2. Birkhoff and S. Vasantha Kandasamy and F. In [1], Sloane has defined the multiplicative persistence of a number in the following manner. Multiplying together the digits of that number x1 x2 xn , another number N 0 results. If this process is iterated, eventually a single digit number will be produced. The number of steps to reach a single digit number is referred to as the persistence of the original number N. Here is an example: 48 32 6. In this case, the persistence of is 5.
Of course, that concept can be extended to any base b. In [1], Sloane conjectured that, in base 10, there is a number c such that no number has persistence greater than c. According to a computer search no number smaller than with persistence greater than 11 has been found. In [2], Hinden defined in a similar way the additive persistence of a number where, instead of multiplication, the addition of the digits of a number is considered.
For example, the additive persistence of is equal to 2. Following the same spirit, in this article we introduce two new concepts: the Smarandache P -persistence and the Smarandache S-persistence of a prime number. If it is a prime then the process will be iterated otherwise not.
The number of steps required to X to collapse in a composite number is called the Smarandache P -persistence of prime X. As an example, lets calculate the Smarandache P -persistence of the primes 43 and 43 55; 23 29 47 75, which is 1 and 3, respectively. Of course, the Smarandache P -persistence minus 1 is equal to the number of primes that we can generate starting with the original prime X.
Before proceeding, we must highlight that there will be a class of primes with an infinite Smarandache P -persistence; that is, primes that will never collapse in a composite number. Lets give an. In this case, being the product of the digits of the prime always zero, the prime 61 will never reach a composite number.
In this article, we shall not consider that class of primes since it is not interesting. The following table gives the smallest multidigit primes with Smarandache P -persistence less than or equal to 8: Smarandache P -persistence. By looking in a greater detail at the above table, we can see that, for example, the second term of the sequence 29 is implicitly inside the chain generated by the prime In fact: 29 47 75 23 29 47 75 We can slightly modify the above table in order to avoid any prime that implicitly is inside other terms of the sequence.
Smarandache P -persistence. Now, for example, the prime will generate a chain that isnt already inside any other chain generated by the primes listed in the above table. What about primes with Smarandache P -persistence greater than 8?
Is the above sequence infinite? We will try to give an answer. Lets indicate with L the Smarandache P -persistence of a prime. Thanks to an u-basic code the occurrrencies of L for different values of N have been calculated. The interpolating function for that family of curves is given by: a N eb N L where a n and b n are two function of N. To determine the behaviour of those two functions, the values obtained interpolating the histogram of occurencies for different N have been used:.
In Figure 3, the plot of counting function versus N for 4 different L values is reported. For L 15, the number of primes is very very small less than 1 regardless the value of N and it becomes even smaller as N increases. So the following conjecture can be posed: Conjecture 1. There is an integer M such that no prime has a Smarandache P -persistence greater than M.
In other words the maximum value of Smarandache P -persistence is finite. Following a similar argumentation the Smarandache S-persistence of a prime can be defined. In particular it is the number of steps before a prime number collapse to a composite number considering the sum of the digits instead of the product as done above. For example lets calculate the Smarandache S-persistence of the prime In this case we have a Smarandache S-persistence equal to 4.
The sequence of the smallest multidigit prime with Smarandache S-persistence equal to 1, 2, 3, 4 has been found by Rivera [3]. Moreover by following the same statistical approach used above for the Smarandache P -persistence the author has found a result similar to that obtained for the Smarandache P -persistence see [3] for details.
Since the statistical approach applied to the Smarandache P and S persistence gives the same result counting function always smaller than 1 for L 15 we can be confident enough to pose the following conjecture: Conjecture 2. The maximum value of the Smarandache P and S persistence is the same. References [1] N. Sloane, The persistence of a number, Recr. Of course, this function has many arithmetical properties, and they are studied by many people see references [1], [4] and [5].
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In this paper, we shall use the elementary methods to study the solvability of the equation. That is, we shall prove the following main conclusion: Theorem. Proof of the theorem In this section, we shall give the proof of the theorem in two ways, the first proof of the theorem is based on the following: m m m Lemma 1. We use induction to prove this Lemma. This completes the proof of Lemma 1. The second proof of the theorem is based on the Vinogradovs three-primes theorem which we describle as the following: Lemma 2.
Every odd integer bigger than c can be expressed as sum of three odd primes, where c is a constant large enough. Lemma 3. We will prove this lemma by induction. Now we give the second proof of the theorem. This means that the theorem is true for odd integer k 3. This means that the theorem is true for even integer k 4. This completes the second proof of Theorem.
House, Chicago, Introduction In one of my many experiments with numbers I found an interesting property which I will describe in everyday terms before going into a more formal analysis. Imagine a circular putting green on a golf course. A golfer wants to practice putting from the edge of the green. He therefore drops a large number of golf balls on the very edge of the green. He then stands on the edge of the green and is struck by the thought What might be the average distance from here to all these golf balls? We measure with the radius of the green as unit and consider the diameter of a golf ball as negligible.
The amazing result is that: the average distance is A 4. Of course, this result was not obtained by experimentation but through formal treatment of a related problem [1]. But its similarity with the famous Buffons needle experiment [2] makes it interesting to compare the estimation of obtained by simulating the two experiments. This will be done at the end of the article.
A problem and its solution From a fixed point A a, 0 of a circle C, what is the average distance of all points on the circumference of C? Let dk be the kth arc. As is seen An converges rapidly. Figure 4. As P moves along the periphery of the semi-circle in figure 4 the angle v moves from 0 to.
This expectation value E corresponds to the classical average which deals with a discrete random variable. This result has been obtained through a geometric consideration and a simple integration. It would be interesting to compare this with a proof of this formula by analytical means. Comparing this with the simple way in which the result was found earlier its like using a sledge hammer to kill a mosquito.
Simulation experiments A frame work in which we can compare simulation experiments for Buffons needle experiment, which will be described below, and our golf ball experiments will be set up. I will henceforth refer to the two cases as Needles and Golf Balls respectively. The same random number generator is used and randomized in the same way in the two experiments.
Ten experiments were carried out in each case. In each experiment needles respectively golf balls were dropped. Refer to figure 5. Our random variables are r and v. The average value 3. Calculation is made for a random distribution of balls. The difference from the true value to 5 decimals is only 0. Needles and Golf Balls - Comparison The simulation programs used earlier were adapted for multiple runs, in each case. Each run consists of tossing the needle and the golf ball times each.
The average and. In addition the frequency of simulation values of for each interval of length 0. Figure 6 shows the result for needles: Average simulation result for 3. The difference between the simulation result and to four decimals is 0. Figure 7 shows the result for golf balls: Average simulation result for 3. At first sight it is surprising that d in 12 can be chosen arbitrarily as long as it is not smaller that L. The explanation is that the larger we choose d the larger will be the standard deviation, i.
The golf ball experiment is much better behaved. For the same number of tosses the average is much closer to with a trend curve that is closer to the average. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric spaces is introduced. Some characteristics of multimetric spaces are obtained and the Banachs fixed-point theorem is generalized in this paper. Introduction The notion of multi-spaces is introduced by Smarandache in [6] under his idea of hybrid mathematics: combining different fields into a unifying field [7] , which is defined as follows.
Definition 1. By combining Smarandache multi-spaces with classical metric spaces, a new kind of spaces called multi-metric spaces is found, which is defined in the following. For terminology and notations not defined here can be seen in [1] [2], [4] for terminologies in the metric space and in [3], [5] [9] for multi-spaces and logics. Characteristics of multi-metric spaces For metrics on spaces, we have the following result. We only need to prove that F 1 , 2 , , m satisfies the metric conditions for x, y, z M. Now by i and iii , we get that. Therefore, F 1 , 2 , , m is a metric on M.
According to Theorem 2. Whether a convergent sequence can has more than one limit point? The following result answers this question. Any convergent sequence in a multi-metric space is a bounded points set. The necessity of these conditions is by Theorem 2. Now we prove the sufficiency. According to Theorem 4. For a completed multi-metric space, we obtain two important results similar to the metric space theory in classical mathematics. For a -disk sequence Theorem 2. By the Proof. N such that if m N , then xm Ml by Theorem 2. If f is connected at every point of M f f said a continuous mapping from M1 to M2.
Denoted by T the x M f. Then on M. By definition, we know that for any integer n, n 1, there exists an integer i, 1 i m such that xn , yn Mi. Whence, we inductively get that 0 i xn , yn n 1 x0 , y0. Therefore, there exists an integer N1 such that xn , yn Mi0 if n N1. Now if n N1 , we have that. Whence, we know that. Since n. Similar consider the points in Mi , 2 i m, we get that 1 T m.
Banach Let M be a metric space and T a contraction on M. Then T has just one fixed point.
SCIENTIA MAGNA. International Book Series (vol. 11, no. 2), 2016
Open problems for a multi-metric space On a classical notion, only one metric maybe considered in a space to ensure the same on all the times and on all the situations. Essentially, this notion is based on an assumption that spaces are homogeneous. In fact, it is not true in general. Multi-Metric spaces can be used to simplify or beautify geometrical figures and algebraic equations.
One example is shown in Fig. Generally, in a multi-metric space we can simplify a polynomial similar to the approach used in projective geometry. Whether this approach can be contributed to mathematics with metrics? Whether can it be used for classifying 3-dimensional manifolds? Simplify equations or problems to linear problems. Abraham, J.
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- ALL About Learning English: Tips, Tricks and Techniques;
Marsden and T. Chern and W. On a equation for the square complements Li Zhanhu1,2 1. China 2. China Abstract For any positive integer n, let a n denotes the square complements of n. That is, a n is the smallest positive integer such that na n is a perfect square number. In this paper, we use the analytic method to study the number of the solutions of the equation involving the square complements, and obtain its all solutions of this equation. Introduction and Result For any positive integer n, the square complements a n is defined as the smallest positive integer such that na n is a perfect square.
Smarandache asked us to study the properties of a n. About this problem, some authors had studied it before. In this paper, we use the analytic method to study the number of the solution of the equation involving square complements, and give all solutions of the equation. The equation. Some lemmas To complete the proof of the theorem, we need the following lemmas.


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The Director for the Environment in Tonga, Uilou Samani, says he would like to see all non-biodegradable bags banned from the country.
The Government has announced that it is looking at imposing a tax on plastic shopping bags in a bid to curb their use.
The Finance Minister, Siosiua 'Utoikamanu, says the use of the bags has taken its toll on the environment and promoted a throwaway culture which is not part of traditional values.
Mr Samani says he believes the 10-US-cent-a-bag tax will encourage Tongans to use their own hand-made bags more often.
He says he supports the tax and would even encourage further action from the government.
"If it is bio-degradable, you know, I will support, you know, the use of that, but, you know, if it is not then of course, I would support, you know, being taken out altogether from the market."
The Director for the Environment in Tonga, Uilou Samani.


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During a period of sustained uncertainty, procurement has continued to deliver savings and support business growth. With Brexit a constant focus in UK businesses it is unsurprising that reducing cost and managing risk are in the spotlight.
Deloitte's latest annual CPO survey (2018) found that;
> Cost reduction (78%), new products/market development (58%) and managing risks (54%) remain the top business strategies for procurement leaders
> 56% of procurement leaders delivered better year-on-year savings performance than last year (EMEA region)
In addition, the report found that supply chain transparency is poor, with 65% of procurement leaders having limited or no visibility beyond their tier 1 suppliers. With this in mind, and the prospect of a hard Brexit likely, it makes sense for organisations to reconsider their supplier base.
Consolidating suppliers brings cost benefits across a business. However, some argue that it also brings an element of risk. So, should you do it?
The challenge of multiple vendors
Many businesses find that they have built a large supplier base gradually, with maverick and ad hoc purchasing inflating the numbers. Finding and qualifying suppliers continues to be a big challenge for procurement professionals, along with maintaining quality standards and a stable supply chain. In addition, reviewing supplier performance and compliance is time-consuming. The extra time, effort and workload required to manage multiple suppliers is clear.
For companies using a multi-sourcing strategy, there are further complexities: how can you ensure consistent end-to-end delivery? How can you enforce accountability and responsibility throughout your supply chain? How can you optimise the value and scope of each supplier? These challenges are key in many companies deciding that consolidating purchasing will provide better value.
The advantages of consolidation
Reducing cost is the main reason businesses move to a consolidated model. And rightly so, choosing a multi-category provider will allow you to:
• Reduce the total cost of your procurement
• Deliver process efficiencies, saving time and costs
• Improve accountability
• Strengthen relationships
• Increase quality and compliance
• Increase control and visibility of expenditure
• Improve distribution across your supply chain
It makes sense that supplier consolidation saves money – less time sourcing and managing suppliers, fewer invoices to process, better leverage on pricing. A report from The Hackett Group quantified these assumptions with data showing the cost benefits to consolidation.
Hackett Group Supplier Consolidation Research
Despite the clear advantages there is also some risk to consolidating – by way of limitations and inflexibility. However, if there is clear negotiation up front the financial benefits should outweigh the risk for cost-focused organisations.
The shift to strategic sourcing
"Companies are struggling to improve the bottom line, and better management of both direct and indirect spend is an important part of reducing cost… They've done what they can with traditional methods, and need to find ways to go deeper."
Chris Sawchuk, The Hackett Group
A 2019 report, Procurement Key Issues from The Hackett Group, highlighted a renewed focus on "doing more with less". Priorities include leveraging supplier relationships and enhancing agility.
Procurement teams are focusing on spend management and strategic sourcing in response to increased competition and sustained uncertainty.
• Procurement budgets are expected to grow at a slower pace in 2019 (1.3 percent, versus 2.7 percent in 2018) Procurement Key Issues Report
Whilst strategic sourcing isn't new, businesses are looking for more ways to improve the bottom line. Consolidation is a key way to lower the total cost of supply, not just the purchase price. It can provide efficiencies across multiple categories and the overall supply chain.
Trusted partnerships on the rise
With 80% of spend accounted for with 20% of suppliers it makes sense to adopt a 'trusted business partner' relationship with key suppliers.
The transition from vendor to partner status moves the focus from cost to mutual business benefits. This still brings all of the cost reductions associated with consolidation, such as increased efficiency and visibility, but with less risk. A strategic partnership benefits both parties and negates the risk of using a single supplier. CIPS quoted a PwC study;
"The traditional lines between industries are blurring, with consumers increasingly expecting goods and services to be interconnected, and businesses seeking to make their supply chains more efficient and effective."
In fact, the number of companies who are adopting this approach to 'partner up' is at an all-time high. Joining forces utilises combined expertise and greater efficiency in supply chains.
Choosing the right mix
Supplier consolidation is a smart strategy for cost reduction and improved business efficiency. Yes, it does require time and effort. However, any associated risk can be well managed or negated and the benefits to your company are worth the work involved.
When it comes to reducing suppliers, you need to determine what's best for your business. You may find that a multi-category supplier works overall but that a specialist category is more effective managed separately. Above all, you need to find the best fit so that there's a balance between the time it takes to manage your supplier base and the profitability of your business.


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Relaxing moments and quiet evenings in Frankfurt: The ibis Hotel Frankfurt Messe West has 114 air-conditioned rooms. Soundproofing and brand-new beds ensure that you get a restful night's sleep. Includes flat-screen TV, WIFI access and desk.
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The hotel is next to a subway-station in the suburbs of Frankfurt. It is close to the trade fair of Frankfurt situated in a commercial area. The breakfast menu offers a very big choice. Our room was quiet. The staff was friendly and helpful.
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Report: Nintendo Wii Sales Down 31.5 Percent from January 2010
January has just not been a pleasant month for video game sales. At least, that's according to new numbers released by NPD. Total January 2011 sales for gaming accessories, portable systems, and games for PCs and consoles fell to $1.16 billion from last year's total of $1.22 billion. And the $1.22 billion figure for January 2010 is itself a decrease from January 2009 figures, or $1.33 billion in total sales.
Breaking that number out a bit, hardware sales took the biggest year-to-year hit, dropping 8 percent from $353.7 million in January 2010 to $324 million in January 2011. NPD no longer splits this number out into publicly available data for the various console manufacturers; however, Wedbush analyst Michael Pachter said that Microsoft was the only big player to experience year-to-year growth on hardware sales.
According to Pachter, Microsoft sold approximately 332,800 Xbox 360 units, representing a year-to-year growth of 14.4 percent for the company. More than half of the systems sold were also bundled with Microsoft's Kinect accessory.
Nintendo, on the other hand, found its sales down 31.5 percent compared to the same period of time last year. That's a drop from 465,800 Wii consoles sold in January 2010 to 319,000 sold in January 2011. The company still leads the current console market with 34.5 million Wii units sold in the U.S., in total, with Microsoft's Xbox 360 coming in second place at 25.8 million, followed by Sony's PlayStation 3 at 15.7 million.
The PlayStation 3 experienced slight drops in sales between January 2010 and January 2011, only losing 3 percent of its total between the two years276,900 consoles sold in January 2010 versus 267,000 in 2011.
Overall software sales also took a hit between the two compared years, dropping off 5 percent in total sales from January 2010's $606.8 million to January 2011's $576 million. The top game (physical media only) remained Activision Blizzard's "Call of Duty: Black Ops," which debuted (and shot to the top of the charts) in November of last year.
Accessory sales for videogame consoles were the bright light in NPD's monthly analysis. Sales increased a total of 8 percent from January 2010's $222.8 million to January 2011's $235.1 million. While there's no official split as to how the two biggest contributors to this total faredMicrosoft's Kinect and Sony's MovePachter notes that Kinect-based software titles outsold similar Move-friendly titles for the PS3, and Microsoft's console/accessory bundles outsold Sony's by a ratio of five to one.


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2 months ago TodParticipant
I just noticed something really odd with the min menu bar on my site. I've used the customizer to change a few things, including changing colors on the menu bar. The two screen grabs help illustrate the problem. The first image shows the menu upon page load. You can see the dark red background and a lighter red background under the "Home" menu item. This is as it should be.
The second image illustrates the changes in appearance after simply scrolling the image on my iPad by swiping up: All menu items except "Home" have disappeared, and the background color under Home matches the dark red of the rest of the menu bar, and the color of the text "Home" has changed from white to a brown color.
The only way to restore the menu bar to its original colors is to refresh the screen.
Thank you.
2 months ago manishKeymaster
Hi Tod,
There should be a toggle button at right for the dropdown menu.
like in this image for the menu you can use that.
The text color and background color of the menu seems like changed on scroll because of the opacity of sticky header is 0.9,
You can add following additional CSS to keep your sticky header unchanged from your customizer if you want
Goto Customize -> Additional CSS
.sticky-header{ opacity:1; }
Also, you can always raise a support ticket for any further issue from your my account on cyberchimps
Thank You2 months ago TodParticipant
Hi, thank you for checking this for me. Here are images that show the results.
The first image shows the added CSS that you suggested pasted into the box under Customize.
The second image shows the lack of the hamburger menu (toggle button on right end of menubar) after applying the added CSS. This doesn't display on either iPad or Mac. I don't know where to toggle it "on".
The third image shows the same display as before when scrolling up. Strange, though, it works fine on my Mac now. I've cleared the WP cache as well as my browser cache. This occurs in Safari, Firefox, and Aloha browsers on iPad.
At this point, if we can make the hamburger menu work, I'll be happy with the rest working only on the Mac.
Thank you,
Tod2 months ago manishKeymaster
Hi Tod,
We are extremely sorry that you are facing this issue. Please raise a ticket for the same from your my account area on cyberchimps.
With a temporary access to your site or maybe your test site, so that we can debug it properly.
Thank You
You must be logged in to reply to this topic.


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Episode 112 – Frown face
Today we are joined by Omar, Tim, Tony and Patrick as they discuss about an interesting observation by Tom Whitby and whether old fashioned classroom management is as effective as these new fangled apps. Check out the talking points below. … Continue reading
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Class DoJo – A review
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Discussion in 'Tone Zone' started by Sustainamaniac, Jan 24, 2015.
Just adding these.
My pedalboard at the moment:
All the essentials!
Not final, the Dumbler and S Fuzz arent mounted ( i may just make an extra little board for micro pedals). My Thomas organ Cry baby goes in beetween, it only likes battery power.
Just 3 but it's all I need..
I've built a new one.
The chain is as follows: Polytune > Micro Amp booster >Dynacomp compressor > Classic Overdrive > Prime Distortion > Little Big Muff > Cry Baby wah > Arion Chorus > Micro Flanger > Phase 90 phaser > Carbon Copy delay > Reverb > RC-30 looper > amp. The Vox controller connects separately.
i have a crap ton of pedals, but usually play through this.
dug this out of its box where its been sat for a couple of years..
rocking an iPad 1
My latest work in progress.
Metro 16 board.
The iStomp next to the MO is just about to replaced with a prince of tone.
The other one will probably be replaced with a boss rc-3 loop station.
Also toying with the idea of replacing the Korg tuner with a couple of micro pedals possibly a trelicopter and mini tuner.
ended up getting rid of the muff and the iStomps (sounds like a band name.... )
went with the Mobius for all my modulation needs.
OD/Dist is handled by the MO / POT and Ivy distortion. the Prince of tone is running at 18v (just doubled up two of the isolator outputs from the gigrig)
this shot is pre installation of the custom length planet waves cables
Built a new one on a pedal train board.
Don't use a lot of pedals but here's what I've got going on right now
The skateboard pedal board! Classic!
It's not much, but it's as much as I need right now.
Some really nice boards here folks. Here's mine.
Untitled by Audun Eggen, on Flickr
Here's my guitar pedal board, such as it is at the moment. From Right to Left, it's a Dunlop Mini-Wah Wah, an Ibanez TS9 Tube Screamer, a Boss MT-2 Metal Zone distortion pedal, for fuzz, we have the Big Muff Pi w/Tone Wicker, a Donner Pearl Tremor Analog Phaser, and a Donner DT-1 Tuner, with a Coween DC Tank power supply.
The reverb on my Bugera amp is great, so I don't need a pedal for that, and, for my purposes, the phaser and the reverb work well for me in place of a delay pedal.
The board itself is just a piece of 1x8 sanded pine cut down to 1x7. The handles are brushed stainless drawer pulls from Home Depot and the rubber feet on the bottom are rubber stoppers from Ace Hardware. The front is covered in industrial Velcro and the Wah pedal is screw mounted to the board.
My bass pedal board is similar, only longer, because it originally had more pedals mounted to it. I did have an Aguilar bass OD on it at one time, but then decided that it was redundant to the overdrive on my bass amp. So, Right to Left, a Dunlop Mini-Bass Wah, a Big Muff Bass Pi, a Behringer VP1 Vintage Phaser, a Donner DT-1 Tuner, and a Donner Looper, and a Coween DC Tank power supply.
I put the Looper after the Tuner so I can loop something and then change basses out if I want to while it plays.
Otherwise, pretty simple board for a simple player.
Construction is the same as the guitar pedal board.
@NoBucks Is there a reason you put the tuner near the end of the chain? The reason I ask is because I'm thinking of switching from my Snark headstock tuner to a pedal tuner and I've seen that some folks put their tuner at the very front of their signal chain and some put it at the end. Is it just personal preference?
I think most put it at the front so that the pedals don't affect the reading on the tuner, so you get a clean signal right from the instrument to the tuner. I put it at the end because even though it's passing through all of the pedals, it's close enough to tune for me, esp. when the other pedals are off, which, they are when I tune. Plus, if I decide I want to switch out a pedal or a patch cable or plug something new in the chain, I can click on the tuner without having to mess with my amp.
Plus, in that position, it mutes any noise from my pedals with one click.
I'm sure there are other reasons why not to do it the way I did it, but it works for me.
No doubt others will chime in about how I'm doing it wrong, but I like it the way it is.


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The vet - part twoNovember 14, 2006
The good news is that my ear infection is gone. Those nasty ear drops sure did a good job. It is going ok with the diet as well, I lost 0,5 kg (about 1 pound) in ten days. Easy does it. No bad news, only good news. That's why I'm really happy!
Another happy thing is that the comments work again. Some of my readers (thanks Norman!) pointed out that the captcha (the anti-spam type over thingy) was a pain in the butt. I tried to work on it, but managed to break it. That's why you couldn't add a comment during the past few days. I fixed it again and changed it, I should be a piece of cake now ;-)


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TO say Tasmin Little is having a busy 2012 is something of an understatement. The last month alone has seen her in the US, Wales, London (in the Wallace and Gromit Prom) and Australia for a fortnight.
Then she jets straight back next week to play her second Prom of the season – this time alongside the RLPO.
"It's been the most fun!" she says with a laugh. "I never like to complain and say I've been so busy, because everything I do I take on myself and I agree to do it. And everything has been lovely."
Next Thursday's concert at the Royal Albert Hall is likely to continue the run of 'lovely' engagements.
Firstly, it reunites the 47-year-old with the RLPO, with whom she has been a regular performer during her three decade career (more of that anon). And secondly, she's playing Delius, the composer she's championed since she started performing professionally in the 1980s.
"The Liverpool Phil have been fantastic because they gave me one of my first professional performances of the violin concerto," she says, adding: "I have a superb database of every professional concert I've ever done. I'd probably be able to give you the date, and the dress I wore!"
True to her word, she can. And it turns out, after consulting her records, next week's concert will also be a landmark.
Tasmin says: "The Prom will be my 50th performance with the RLPO. How nice is that?!
"My first was at Bradford St George's Hall. I was still at college, in my final year. It was May 25, 1985, and I wore a peach-coloured dress.
"I don't think I'll be wearing peach at the Proms!"
The violinist's love of Delius stretches back to her childhood when her parents would play the Bradford-born composer's recorded works at home. Her father, actor George Little, was a Yorkshireman and was born close to Delius' own birthplace.
Tasmin explains: "I always loved his music. It came as rather a surprise to find that not so many other people did.
"So because I realised this was a unique and fine composer who was neglected, and one that I loved, I suppose I just unwittingly took up the 'I'm going to champion this man' role."
That championing has led to the former BBC Young Musician of the Year finalist organising a Delius Inspired festival in his home city where the University of Bradford not only conferred an honorary doctorate on her, but named its music school the Tasmin Little Music Centre.
It's the 150th anniversary of Delius' birth, and playing his violin concerto at the Proms is a first for Tasmin.
The concert will be broadcast on Radio 3 but Liverpool audiences will get to hear the violinist and RLPO play the piece again live at a concert at the Philharmonic Hall in November.
Meanwhile the Phil's 2012 Prom also includes a London premiere of Sir Peter Maxwell Davies' 9th Symphony, and Shostakovich's 10th Symphony.
Surprisingly, it will be the first time Tasmin – recently made an OBE – has worked with conductor Vasily Petrenko.
"I'm so looking forward to it," she says. "Just all the plaudits that have come the orchestra's way with him at the helm. It's a marvellous partnership, and he's tremendously lucky to have an orchestra like the Phil who are so enthusiastic and open-minded.
"I always love working with them."
The RLPO plays at the BBC Proms on August 23. And Tasmin Little appears with the orchestra at the Philharmonic Hall on November 17.


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Moderndog Photo Contest Entry- Eggsy
Photo Contest
Photo Contest Dog of the Week
Meet: Eggsy
Shannon & Scottie Herrin
South Carolina
Vote For Me!
Hi y'all! My name is Eggsy & I am a Goldendoodle. I was born in South Carolina but my Pawrents brought me here to Sunny California & I absolutely LOVE it! I am currently taking obedience classes & Im doing pretty good! I just graduated from Scenting Class & also Tricks Class! I can do a couple super cool tricks like Bend the Knee for all you GOT fans like me! And I can Roll over & play dead. I AM A HUGE PUPPUCCINO FAN! I just adore those sweet treats!
8 Months
Wiggles, Buggy, Buglette, Eggs
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The categories of companies under the Companies Act of 2008
The Companies Act 2008 creates new terminology for the categories of companies
An issue that has bedevilled company law since its nineteenth century origins is the circumstances (if any) in which an internal irregularity in the company's affairs will render invalid and unenforceable a contract entered into with an outsider.
After all, what could be more destructive of business confidence than a scenario such as the following.
A person enters into a business deal with a company in all good faith, and perhaps pays over money or contributes valuable services to the company, only to find that (because of some internal irregularity in the company's affairs) the deal is invalid in law, and that he has no legal right to compel the company to pay what it had promised or to hand over the property as it had undertaken to do.
There is, of course, a contrary argument from the other side of the fence.
A shareholder in such a company may say - why should my company and I suffer if the directors of the company have entered into a transaction that is flawed by some irregularity in regard to an internal aspect of the company's affairs?
Let the outsider to the transaction bear the loss - after all, he or she should have verified in advance that the company was permitted to enter into the transaction.
Acting beyond the powers of the company as defined in its memorandum
An "internal irregularity" that could arise in this regard is that the company's constitution (termed the memorandum of association under the Companies Act of 1973 and the memorandum of incorporation under the Companies Act of 2008) may have restricted the range of business activities that the company was permitted to engage in - in other words, it could have restricted the "objects" of the company.
Prior to the Companies Act 1973, where a company acted outside the scope of its ěobjectsî, the law regarded the transaction as being ultra vires (beyond its powers) and consequently legally invalid - even if all the shareholders approved of the transaction.
Moreover, the transaction was incapable of being ratified, that is to say, retrospectively approved.
The drafters of the Companies Act of 1973, mindful of the undesirable consequences of this rule, tried to water it down.
But the drafters of the Act could not bring themselves to bite the bullet and simply declare that a company has full power to do anything it wishes.
The result was the inclusion in the Companies Act 1973 of section 36, which was a attempt at a compromise, but was so convoluted that, far from clarifying the law on this point, it made the law more difficult for the business community to understand, and even lawyers argued about the proper interpretation of some aspects of the section.
The drafters of the Close Corporations Act bit the bullet
When the Close Corporations Act was enacted in 1984, the drafters of the Act bit the bullet and opted for the radical but clear rule that a close corporation has all the powers of a natural person, except for such things that a juristic person is incapable of doing, such as entering into a marriage.
Consequently, a close corporation is incapable of acting beyond its powers, that is to say, it cannot act ultra vires.
A transaction entered into by the close corporation may of course turn out to be invalid or not binding on it for other reasons.
The drafters of the Companies Act of 2008 had an opportunity to decide anew whether to opt for the radical but clear position taken by the Close Corporations Act - that is to say, to give a company full and unrestricted powers - or whether to opt again, as in the Companies Act of 1973, for some mid-way position.
The drafters of the Companies Act of 2008 have opted for a compromise, similar to but more clearly expressed than that adopted by the Companies Act of 1973.
In terms of section 19(1)(b) of the Companies Act of 2008, a company has all the legal powers of an individual, except to the extent that the memorandum of incorporation provides otherwise.
Thus, the drafters of the company's memorandum of incorporation may choose to give the company unrestricted powers. It is likely that this will be the most usual position.
On the other hand, the drafters of a particular company's memorandum may insert a restriction on the company's powers. For example, the memorandum of incorporation may say that, "the company shall not have the power to bind itself as surety for any other person".
What happens if the company then disregards that limitation and binds itself as surety for someone's debts?
Outsiders can enforce a transaction even if it was outside the company's powers In terms of the Companies Act 2008, the position, in a nutshell, is that a transaction between the company and an outsider, which is beyond the scope of the company's powers, as defined in its memorandum of incorporation, is nonetheless valid and enforceable.
Consequently, neither the company nor any outsider is permitted to argue that the flouting of the restriction on the company's powers renders the transaction invalid.
Hence, in the example, above, the person in whose favour the suretyship was given can enforce the suretyship against the company, despite the fact that the company's memorandum of incorporation forbade the company to bind itself as surety.
However, the Companies Act of 2008 goes on to provide that internally – that is to say, as between the company, its directors and its shareholders – the fact that the suretyship was given in breach of the company's memorandum of incorporation can be grounds for the company (and, it seems, its shareholders) to sue the responsible directors for the financial loss the directors' improper action has caused.
In practical terms, what this means is that, where an outsider enters into a transaction with a company, he or she need not concern him or herself with whether the transaction is permitted under the company's memorandum of incorporation.
For, whether it is permitted or not, the transaction is valid and enforceable by the outsider.
Directors of a company, of course, need to acquaint themselves with whether their company's memorandum of incorporation imposes a restriction on the company's powers, for if they allow the company to act outside its powers, they lay themselves open to an expensive and reputationally damaging lawsuit by the company or its shareholders.


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Go on a 1- to 3-day fast. According to "The Miracle of Fasting," fasting allows the body to cleanse itself from the inside out. You do not have to starve yourself to obtain many of the benefits of fasting. Fruits, vegetables and nuts put very little stress on the digestive system, allowing the body to properly cleanse, according to Paul C. Bragg. If you do choose to fast, drink an apple cider vinegar drink three to five times per day to fight hunger and detoxify. Mix 2 tbs of Bragg apple cider vinegar, 1 tbs natural honey and 8 oz. of distilled water.
Shortly after I was born, my mother developed diabetes. It runs in our family; I lost an uncle to the disease, and I have other relatives who struggle with it. I remember the day I sat with her, after doctors had told her the limitations of Western medicine when it came to diabetes. I asked her about her time as a nurse in Korea, and what she knew of Eastern medicine. And the same word kept coming up time and again: Tea.
Aloe is a sensational digestive aid, and its incorporation into DIY detox water is revolutionary for dieters everywhere. A household plant can be a perfect specimen for harvesting healing gel. The ooze can be gently extracted with a knife tip before being blended into lemon juice. This serenely sour liquid dilutes the aloes thickness for easy absorption into the blood stream. Once digested, aloe promotes relief from fatigue by boosting energy production from the inside. Please note that pregnant women are cautioned against consuming aloe ingredients, but everyone else can raise a toast to purification with this serenely refreshing selection.
Açai berry powder is high in anthrocyanin- a natural pigment providing powerful antioxidants. Açai provides an array of minerals that help to keep your body healthy and gives you high levels of sustainable energy. This extra energy will enable you to get out and exercise more, therefore extra calories will be burned and eventually the fat will come off your tummy!
The concentration of EGCG—the superpotent nutrient found in green tea—may be as much as 137 times greater in powdered matcha tea. EGCG can simultaneously boost lipolysis (the breakdown of fat) and block adipogenesis (the formation of new fat cells). One study found that men who drank green tea containing 136 milligrams of EGCG—what you'd find in a single 4-gram serving of matcha—lost twice as much weight than a placebo group and four times as much belly fat over the course of three months
Every drop of this iconic pineapple detox water is packed with vivacious charm. The recipe is astonishingly simple, but it yields an incredible source of hydration. The heavenly elixir only requires 2 sticks of sugar cane, approximately 5 pineapple chunks and 2 liters of water. All H2O should be filtered, and spring water is the best choice. Upon combining the ingredients, this brew can be consumed immediately; however, every minute of stewing increases the fun for the tongue. The deliciousness is special enough to make every sip a divinely uplifting experience. Meditative properties are enhanced by pineapples ability to expel toxins.
Every drop of this iconic pineapple detox water is packed with vivacious charm. The recipe is astonishingly simple, but it yields an incredible source of hydration. The heavenly elixir only requires 2 sticks of sugar cane, approximately 5 pineapple chunks and 2 liters of water. All H2O should be filtered, and spring water is the best choice. Upon combining the ingredients, this brew can be consumed immediately; however, every minute of stewing increases the fun for the tongue. The deliciousness is special enough to make every sip a divinely uplifting experience. Meditative properties are enhanced by pineapples ability to expel toxins.
Core exercises go far beyond your grandparent's idea of sit-ups and pushups. The core is everything in your trunk, from your upper legs, hips, abs, back, and chest. Exercises that focus on improving your core muscles help you improve your strength and tone beneath your fat. Exercises for love handles should include plenty of core exercise. Focusing on your core should form a major component of your cardio routine and improved diet.
If you want a drink that mimics the fancy beverages served in health spas, try this homemade detox water. This is one of the best-rounded brews ever devised by human minds. The lemon leads to a cleaned out digestive system, and cucumbers keep your figure slim by eliminating unnecessary water storage. Strawberries combine with the other fruits to provide the most prominent edge of sweetness, which is accompanied by the brisk coolness of mint. This digestive aid merges efforts with the basil to create a stable stomach for any lass. Get ready to feel like you just ordered room service!
New Delhi: If you're trying to shed a few extra kilos that you have gained, replacing those sugary beverages and sodas with cucumber water can help you cut some calories and get rid of your belly fat. Also known as cucumber detox water or cucumber infused water, this healthy refreshing drink has been around for a very long time years before the infused water craze started. It is believed that the popular health drink can help remove toxins from the body and help with weight loss.
Not sure about the weight loss end of the sales pitch however I can tell you this has a great detox or probiotic effect. I train 5 days a week and eat 90/10 clean. At times the amount of fiber in take in will cause issues with my ability to process and pass...anyhow this has helped with bloating and the above noted issue. It has a great light taste, not bitter, nor tasteless. I didn't add any sweetener and loved the taste on its own. Will buy again.
» Solution: Start a food diary to what types of foods seem to trigger the bloat: dairy, yeast, gluten, alcohol. Incorporate fresh fruits and vegetables with every meal, like some of these 10 best foods for weight loss. Add a probiotic to help the bacteria in your gut do their jobs, stay hydrated and add light, pleasant activities to your day. Try walks, breathing exercises and meditation to keep the blood flowing to the right places. Check out this recipe for Kale-tastic Green Juice.
A lot of additives dilute the natural force of water, but cucumber is always known to enhance the potent properties of hydration. The outer layer also contains many compounds that are crucial to showing off the beautiful skin. Clear complexion can be cultivated quickly! Also, limes are the best citrus fruit when it comes to detoxifying the stomach and intestines. They lace the inner linings with a litany of helpful nutrients that ease digestion during every step. With just two ingredients, a lot of flexibility can be featured while making this tasty drink. Weight loss and dietary planning have never been this personalized before!
I tried this cleanse myself, and within 48 hours my waist was measurably smaller, and I felt lighter, more alert, and yet more calm. I shared it with my mother, and her 7-day journey brought her blood sugar under control, and her weight down by a shocking 9 pounds. And then she and I shared it with our friends, and the results were the same across the board. In just 48 to 72 hours, our friends reported noticeable changes in their body shapes, as though the tea were flattening their bellies from the inside.
If you want to implement a stricter regimen, then you should dabble with this lively lemon water detox. 30 day programs can reach their maximum potential by including this beverage as a permanent replacement for sodas. Obviously, lemons are a key component to this drinks ability to clean out a system, but the berries play a vital role that should not be discounted. They fill the body with nourishing antioxidants, and the B vitamins boost energy levels for burning fat on the go. Spas everywhere treat their lounging guests to this cleansing drink. The goodness is accentuated by sheer aesthetic appeal!
Also known as branch chain amino acids. BCAAs are three amino acids known as Leucine, Valine and Iso-Leucine. They help prevent muscle breakdown and can be bought as yummy flavoured powders to use in place as sports drinks. Drink them during your workout instead of water as they will help you tone up as you lose that belly and may even help in the formation of abdominal muscle.
Apple cider vinegar is a natural product. This is because it contains organic acids and enzymes. Research shows that it results in weight loss but it is gradual. But the good news is the effect is permanent. If you were looking for immediate weight loss, this may not be for you. The results are slow but steady. Apple Cider Vinegar will balance your body's PH level. And when your PH level is balanced or alkaline, your body's metabolism will start working properly...allowing you to lose weight.
One reason excess visceral fat is so harmful could be its location near the portal vein, which carries blood from the intestinal area to the liver. Substances released by visceral fat, including free fatty acids, enter the portal vein and travel to the liver, where they can influence the production of blood lipids. Visceral fat is directly linked with higher total cholesterol and LDL (bad) cholesterol, lower HDL (good) cholesterol, and insulin resistance.


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The cost (£C) to each passenger on a coach trip varies inversely as the number (N) going on the trip. If 36 people go, the cost to each is £6.50, how do you find a formula connecting C and N?
1 Answer
Jun 16, 2015
Inverse variations are of the form
In this case
In practical terms this means: the coach trip costs GBP 234, and we split it by the number of people. Usually these problems are a bit more complex.
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Lucifer season 5 spoilers: Lucifer to battle God in explosive series premiere?
LUCIFER season five won't air until next year but viewers are simply dying to know what storylines are going to be explored in the upcoming final series of the show. However, some may have figured out exactly how it is going to begin already.
Lucifer (played by Tom Ellis) was left in a bad way in both the season three and four finales.
While the former saw him accidentally outing himself as the Devil to Chloe Decker (Lauren German), the latter saw him returning to Hell seemingly for good.
However the premiere episodes of each following season saw Lucifer thwarting the same villain each time.
Seasons two, three, and four all saw the Lord of Hell take down Lee - also known as Mr. Said Out B****h (Jeremiah Birkett).
Lucifer viewers recently realised this and began pointing it out on the show's subreddit.
They then went one step further and theorised he may arrive in the first episode of the upcoming fifth season.
Reddit-user Spandex420 theorised: "Just realised that this guy started off season two, three and four.
"He better start off season five too."
Another user, JohntheSuen also chimed in to say: "He better be starting season five or else I am going to call the police."
Meanwhile another viewer began theorising Lee may have a larger part to play in the final season.
READ MORE: Lucifer season 5 spoilers: Maze to begin pivotal new relationship in new episodes?
Lucifer season 5 spoilers: Tom Ellis could be returning to take on a familiar enemy
Just realised that this guy started off season two, three and four
They wrote: "Plot twist. He is God, checking on Lucifer and Amenadiel."
While this is certainly an unlikely scenario, almost anything could happen in the final episodes of the series.
And considering God has not yet made an appearance in the show - other than his voice - he could certainly make his debut in one of the final episodes.
Excited fans of the show have been hard at work theory-crafting, and recently they delved into the topic of Mazikeen (Lesley-Ann Brandt), and her future in the show.
They surmised that, although Maze has been quite an evil being for some time, season four saw her a little more relaxed - and even enamoured by Eve (Inbar Lavi).
With this in mind, Reddit user OkieGypsy went on to suggest: "So, I'm a big fan of Mazikeen. Watching her character evolution, it gave me a funny theory.
"What if we're watching Makizeen of the Lillim grow a soul?
"And, if so, when she dies, hopefully not in S5, would she be the lone demon in Heaven? Since she's a demon, and doesn't expect a soul, she lives with no regrets or guilt.
"So, nothing to drive her 'down South' after death, so would she end up in Heaven?" the fan added.
Lucifer season 4 is available on Netflix now.


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- $595,000 price
- 5613686 listing id
- Neighborhood: CAREFREE PLAT 3B
- Status: Active
One of the last remaining corner lots in a NO HOA south Carefree location, elevated for maximum 360 degree views that include city lights & Black Mountain, Winfield Mountain, The Boulder Pile, and Camelback Mountain views to the south. This is the perfect location to build your Carefree ''Dream Home'' close to everything including some of the very best shopping, golf courses & restaurants in Carefree, Cave Creek & Scottsdale. A local builder has preliminary plans & budget for a 3900 sq ft home, perfectly suited for this lot. See Detailed 3900 sq ft ''One-Story'' Floor plan in DOCUMENTS tab
Courtesy of: Realty Executives
Office Phone: (480) 585-0101
Copyright Arizona Regional Multiple Listing Service, Inc. All rights reserved. Information is deemed reliable but not guaranteed.
Updated: 5th December, 2019 8:14 AM.
35000 N Whileaway Road Carefree, AZ


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True Nightmare SCP
Started by: saint joseph
Date: 16 Aug 2017 05:01
Number of posts: 3
RSS: New posts
Date: 16 Aug 2017 05:01
Number of posts: 3
RSS: New posts
Summary:First try at an SCP article, so be nice, but also be honest.
True Nightmare SCP
saint joseph 16 Aug 2017 05:01
Unfold True Nightmare SCP by saint joseph, 16 Aug 2017 05:01
Re: True Nightmare SCP
DrMagnus 18 Aug 2017 16:32
Alrighty, let's take a look here.
I would suggest going back to the drawing board, and trying to figure out what kind of story you're trying to tell here, rather than adding more here.
Most of what's here doesn't serve the narrative much, and is just a lot of text about bad stuff happening….because.
Hope this helps.
Unfold Re: True Nightmare SCP by DrMagnus, 18 Aug 2017 16:32
Re: True Nightmare SCP
saint joseph 25 Aug 2017 20:52
Alright, thanks for the advice, wasn't expecting too much out of this considering it is my first SCP. Just use this one as a learning experience I suppose. :)
Unfold Re: True Nightmare SCP by saint joseph, 25 Aug 2017 20:52
page revision: 3, last edited: 22 Sep 2018 03:57


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On July 28, 2018, California Gov. Jerry Brown declared a state of emergency in Lake, Mariposa, Mendocino and Napa counties due to the devastating effects of fires in the area.
Program integrity and compliance activities are meant to ensure that federal and state taxpayer dollars are spent appropriately on delivering quality, necessary care and preventing fraud, waste and abuse in federal healthcare programs.
The Equal Pay Act, which was enacted more than 50 years ago, continues to have a significant impact.
In last year's hit movie "Coco," a young guitar-hero journeys to the land of the dead where he finds things (and performs a ditty titled) un poco loco (a little crazy).
One of the problems with the U.S. Supreme Court's ability to maintain control over constitutional law as it is practiced nationwide is that there is only one Supreme Court and myriad lower courts.
A wave of new legislation continues to span the country as states ban questions about salary history to help close the gender pay gap.
Robocalls are a hot topic in Washington, D.C., with new legislation proposed, testimony from the FTC about its efforts to combat the problem and a Second Further Notice of Proposed Rulemaking from the FCC having all been released in the past few months.
For the past several years, we have been predicting an increase in partnerships between banks and fintech companies. We anticipate this trend will continue, and we expect to see joint ventures and acquisitions accelerate in the second half of 2018.Check out our infographic below to find out more ...
As telehealth services become increasingly popular, healthcare providers and health insurers need to keep a careful eye on the unique compliance issues raised by the delivery of these services.
The old adage "good things come to those who wait" showed itself to be true when on March 16, the US Court of Appeals for the DC Circuit released its hotly anticipated decision in ACA Int'l v. FCC, just shy of 17 months after oral argument.