This medicine is a macrolide antibiotic used to treat infections caused by certain bacteria. It may also be used to prevent a certain infection in persons with advanced HIV infection.
CAUTIONS: DO NOT TAKE THIS MEDICINE if you have had an allergic reaction to it, to any ingredient in this product, or to any other macrolide (eg, erythromycin). BEFORE YOU HAVE ANY MEDICAL OR DENTAL TREATMENTS, EMERGENCY CARE, OR SURGERY, tell the doctor or dentist that you are taking this medicine. MILD DIARRHEA IS COMMON WITH ANTIBIOTIC USE. However, a more serious form of diarrhea (pseudomembranous colitis) may rarely occur. This may develop while you use the antibiotic or within several months after you stop using it. Contact your doctor right away if stomach pain or cramps, severe diarrhea, or bloody stools occur. Do not treat diarrhea without first checking with your doctor. THIS MEDICINE ONLY WORKS AGAINST BACTERIA; it does not treat viral infections (eg, the common cold). THIS PRODUCT MAY CONTAIN TARTRAZINE DYE (FD & C Yellow No. 5). This may cause an allergic reaction in some patients. If you have ever had an allergic reaction to tartrazine, ask your pharmacist if your product has tartrazine in it. LONG-TERM OR REPEATED USE OF THIS MEDICINE may cause a second infection. Tell your doctor if signs of a second infection occur. Your medicine may need to be changed to treat this. SEVERE AND SOMETIMES FATAL LIVER PROBLEMS HAVE BEEN REPORTED WITH THIS MEDICINE. This has usually been reversible when the medicine is stopped. Discuss any questions or concerns with your doctor. Tell your doctor right away if you experience symptoms of liver problems (eg, yellowing of the skin or eyes; dark urine; pale stools; severe or persistent nausea, loss of appetite, or stomach pain; unusual tiredness). THERE HAVE BEEN REPORTS OF TOOTH DISCOLORATION with the use of this medicine. This has usually been reversible with a dental cleaning. THERE HAVE BEEN REPORTS OF HEARING LOSS with this medicine, usually in elderly women. This has usually been reversible. Discuss any questions or concerns with your doctor. BEFORE YOU BEGIN TAKING ANY NEW MEDICINE, either prescription or over-the-counter, check with your doctor or pharmacist. CAUTION IS ADVISED WHEN USING THIS MEDICINE IN THE ELDERLY because they may be more sensitive to the effects of this medicine, especially irregular heartbeat (prolonged QT interval). FOR WOMEN: THIS MEDICINE HAS BEEN SHOW TO CAUSE HARM TO THE FETUS. This medicine is not recommended for use during pregnancy except when no other antibiotics can be used. IF YOU THINK YOU MAY BE PREGNANT, discuss with your doctor the benefits and risks of using this medicine during pregnancy. IT IS UNKNOWN IF THIS DRUG IS EXCRETED in breast milk. IF YOU ARE OR WILL BE BREAST-FEEDING while you are using this medicine, check with your doctor or pharmacist to discuss the risks to your baby. DIABETES PATIENTS: This medicine may rarely affect your blood sugar. Check blood sugar levels closely and ask your doctor before adjusting the dose of your diabetes medicine.
Biaxan costs start around $150 - $180 to treat an infection. If you require a longer course of medication to treat your infection, such as 10 days or more, prices will be higher. To reduce the price of Biaxin, find a pharmacy in your area and click 'get discount' to print or download a Biaxin coupon to get as much as 75% off the retail price.


Major-General Christopher Ghika, the coalition's deputy commander, on Thursday described the size of the last ISIS pocket as "now less than 1 per cent of the original caliphate".
The US-backed Syrian Democratic Forces (SDF) announced on Saturday that a "final battle" against the Islamic State group in eastern Syria has started. He did not say how long they expect the battle to last.
"At some point, we make political progress, or they're going to have to tell the military to slow down, or we're going to proceed without a political process".
Thus, for all practical purposes, it appears the withdrawal of American troops from Syria will be limited to Manbij and Kobani in northern Syria and Qamishli and al-Hasakah in northeastern Syria in order to address the concerns of Washington's NATO-ally Turkey pertaining to the Kurdish militias which Ankara regards as "terrorists", and the fate of USA forces operating alongside Kurds in Deir al-Zor in eastern Syria and al-Tanf military base in particular is still in doubt.
According to Reuters, the United States said on January 29 that ISIS was expected to lose the final chunk of territory within a couple of weeks.
The SDF, backed by the US-led coalition, has defeated ISIS across a swathe of northern and eastern Syria in recent months, reducing its once expansive caliphate to a fraction of its peak size. "It is transforming into an asymmetrical warfare force". An SDF statement said the offensive was focused on the village of Baghuz.
Relatives at home fear alleged foreign jihadists may end up facing tough justice in Iraq, where Human Rights Watch warned they could face "torture and unfair trials". "That's why we speak for Syria returning to the Arab League as soon as possible", the diplomat stressed. "There's been a total lack of transparency, and bad things happen in the dark", HRW's counterterrorism director, Nadim Houry, told AFP.


Preface. Acknowledgements. 1 Introduction. 1.1 Tools of the Trade. 1.2 Other Tools for the Field. 1.3 Use of GPS (Global Positioning System) in Sedimentary Studies. 1.4 Safety in the Field and General Guidance for Fieldwork. 2 Field Techniques. 2.1 What to Look For. 2.2 The Approach. 2.3 Field Notes. 2.4 Graphic Logs. 2.5 The Logging of Cores. 2.6 Lithofacies Codes. 2.7 Collecting Specimens. 2.8 Presentation of Results. 2.9 The Way-Up of Sedimentary Strata. 2.10 Stratigraphic Practice. 3 Sedimentary Rock Types. 3.1 Principal Lithological Groups. 3.2 Sandstones. 3.3 Conglomerates and Breccias. 3.4 Mudrocks. 3.5 Limestones. 3.6 Evaporites. 3.7 Ironstones. 3.8 Cherts. 3.9 Phosphate Deposits (Phosphorites). 3.10 Organic-Rich Deposits. 3.11 Volcaniclastic Deposits. 4 Sedimentary Rock Texture. 4.1 Introduction. 4.2 Sediment Grain-Size and Sorting. 4.3 Grain Morphology. 4.4 Sediment Fabric. 4.5 Textural Maturity. 4.6 Texture of Conglomerates and Breccias. 4.7 Induration and Degree of Weathering. 4.8 Colour of Sedimentary Rocks. 5 Sedimentary Structures and Geometry of Sedimentary Deposits. 5.1 Introduction. 5.2 Erosional Structures. 5.3 Depositional Structures. 5.4 Depositional Structures of Limestones (Including Dolomites). 5.5 Post-Depositional Sedimentary Structures. 5.6 Biogenic Sedimentary Structures. 5.7 The Geometry of Sedimentary Deposits and Lateral Facies Changes. 6 Fossils in the Field. 6.1 Introduction. 6.2 Fossil Distribution and Occurrence. 6.3 Fossil Associations and Diversity. 6.4 Skeletal Preservation (Taphonomy) and Diagenesis. 7 Palaeocurrent Analysis. 7.1 Introduction. 7.2 Palaeocurrent Measurements. 7.3 Structures for Palaeocurrent Measurement. 7.4 Presentation of Results and Calculation of Vector Means. 7.5 Interpretation of the Palaeocurrent Pattern. 8 What Next? Facies Identification and Sequence Analysis. 8.1 Introduction. 8.2 Facies Analysis. 8.3 Facies, Facies Models and Depositional Environments. 8.4 Cycle Stratigraphy and Sequence Stratigraphy. Recommended Reading. Index.
Maurice Edwin Tucker is a leading British sedimentologist, specialising in the field of carbonate sedimentology, more commonly known as limestones. From 1993 to 2011 he held the position of Professor of Geological Sciences at the University of Durham, and from 1998 to 2011 was Master of University College, Durham.
You can earn a 5% commission by selling Sedimentary Rocks in the Field - a Practical Guide 4E (Geological Field Guide) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!


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Dana Loesch July 12, 2017
Rep. Thomas Massie: Let's 'legalize affordable health insurance
"Passing health care bill is on the top of the 'to do' list," said Dana Loesch, today on "Dana." Senate Majority Leader Mitch McConnell wanted to vote before the Independence Day holiday, but conservatives rejected the bill saying it didn't go far enough to repeal Obamacare. Moderates called the Medicaid cuts "devastating." Now two new health care measures are up for consideration and leaders want to vote as soon as next week.
"Can they do it?' Dana asked Thomas Massie (R-Ky.) "You have to pass a health care bill in order to tackle the budget, to tackle tax reform. And to pass this bill, it's going to take a "yes" vote from nearly every single Republican senator…. That's a big task."
The Congressional Budget Office has estimated that the first health care reform proposal would leave 22 million Americans without insurance. What they didn't mention was that most of those Americans would likely choose to be uninsured.
"Because if you're not forced to buy a product that's uber-expensive and actually sub-par insurance, then people are going to choose to go with catastrophic or a-la-carte coverage," said Dana. "But they left the 'choice' part out, Congressman."
"That's a great point," agreed Massie. "We want to make sure people have access to health care, not health insurance. If we don't choose to legalize affordable health insurance, why are people going to buy it?"

redpajama_set_name: RedPajamaCommonCrawl


It's time to say goodbye to another PowerPC in space, this time the Opportunity rover, also known as the Mars Exploration Rover B (or MER-1). Finally declared at end of mission today after 5,352 Mars solar days when NASA couldn't re-establish contact, it had been apparently knocked off-line by a dust storm and was unable to restart. Originally intended for a 90 Mars solar day mission, its mission became almost 60 times longer than anticipated and it traveled nearly 30 miles on the surface in total. Spirit, or MER-2, its sister unit, had previously reached end of mission in 2010.
Both Opportunity and Spirit were powered by the 20MHz BAE RAD6000, a radiation-hardened version of the original IBM POWER1 RISC Single Chip CPU and the indirect ancestor of the PowerPC 601. Many PowerPC-based spacecraft are still in operation, both with the original RAD6000 and its successor the RAD750, a radiation-hardened version of the G3.
Meanwhile, the Curiosity rover, which is running a pair of RAD750s (one main and one backup, plus two SPARC accessory CPUs), is still in operation at 2,319 Mars solar days and ticking. There is also the 2001 Mars Odyssey orbiter, which is still circling the planet with its own RAD6000 and is expected to continue operations until 2025. Curiosity's design is likely to be reused for the Mars 2020 rover, meaning possibly even more PowerPC design will be exploring the cosmos in the very near future.


Male Nesothrips lativentris, from Thrips of California 2012.
The Diceratothripina are a group of fungus-feeding thrips characterised by the presence of metathoracic sternopleural sutures and widely separated maxillary stylets (Mound & Palmer 1983).
Characters (from Mound & Palmer 1983): Antennal segment IV with four (rarely two) sense cones. Maxillary stylets widely spaced, usually V-shaped. Metathoracic sternopleural sutures present.


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SaskPower continues to uncover Regina homes at risk of electrical fires | CBC News Loaded
SaskPower continues to uncover Regina homes at risk of electrical fires
As SaskPower continues to inspect power meter boxes in Regina, it's finding more and more cases where a fire risk is present. With that, costs are mounting.
Crown says issue unrelated to smart meter replacement
Brandon Harder · CBC News · Posted: Jul 25, 2017 5:14 PM EDT | Last Updated: July 25, 2017
About 600 properties have been inspected to date. (Tyler Pidlubny/CBC)
As SaskPower continues to inspect power meter boxes in Regina, it's finding more and more cases where a fire risk is present.
About 600 properties have been inspected to date, with 30 SaskPower staff on the task.
Opposition calls for action after 5 SaskPower meters catch fire
Another meter catches fire in Regina, SaskPower urges public to stay vigilant
"We're going to keep going until we're satisfied," said SaskPower health and safety director Kevin Schwing.
A power meter box separating from the wall of a home in Regina. SaskPower says it's still unclear who will be footing the bill for repairs to equipment causing a fire hazard. (Brandon Harder/CBC)
Five fires have broken out so far. In 30 cases, wiring under stress has burned out and caused a power outage. In up to 80 cases, power equipment was deemed to be showing "risks," SaskPower spokesperson Jonathan Tremblay said.
SaskPower says hot, dry weather is causing the ground to sink and in turn pulling wiring out of the boxes.
Kevin Schwing, SaskPower director of health and safety, points at a crack opening between the soil and the wall of a home in Regina. This, he says, is a warning sign that the home could be at risk. (Brandon Harder/CBC)
The size of the box is what determines the level of risk, said Schwing, noting that the smaller the box is, the greater the risk. In the smaller boxes, there is less slack in the wiring that is being tugged on by sinking ground, he said.
However, there is no easy way for homeowners to determine the size of the box themselves, he said.
In the interest of a long-term remedy, an investigation is underway, Schwing said, which should wrap up in a couple of weeks.
"We're talking to other utilities, seeing what other people have done," he said. "We'll look at everything from standards to insulation to expansion joints — there's all kinds of things."
Boxes sitting on a tilt, even slightly, like this one, are a risk, according to SaskPower. (Brandon Harder/CBC)
Again, SaskPower reminded people to look for warning signs that their home might be at risk, including: the power box pulling away from the home, the box tilting on the wall, wiring being pulled out of the box, and a gap opening between the foundation of the home and the ground.
Anyone who notices any of these things happening on their property is being urged to notify SaskPower.
Smart meters unrelated
The current issue has nothing to do with the previous failure of "smart meters," which were causing unexpected fires in 2014.
However, all the new meters that replaced the faulty smart meters "should have more wire that the ground can pull down," according to Tremblay.
That would mean the homes that had smart meter replacements should be safe, but that only represents about 20 per cent of customers, he said.
Costs mounting
Who will be footing the bill for the work being done to ensure the boxes are safe remains unclear.
The Crown corporation is wrestling internally with exactly who is responsible for the costs, but says it will make a determination before the week is out. The box and the conduits are owned by the customer. The wiring and the meter itself are owned by SaskPower.
Where the problem originates in each case is factoring into considerations.
Depending on the extent of the damage, a repair could cost $1,000 to $2,000, SaskPower says.
MORE SASKATCHEWAN NEWS | Pot possession charges way down in Sask. as it preps for legalization
MORE SASKATCHEWAN NEWS | 1-in-100-year rainfall triggers flood, safety warnings for Churchill River in Sask.


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Picture from Colin Murphy : Waterfall heaven.
Followed jackal's directions to the summit, but in the true spirit of exploration for which Mountainviews is famed (haha) I decided to descend to SE from the summit. Descend SE for about 1.5km to point S327 085 C then turn directly west down into the Mahon valley. There are several stepping stone crossing points over the Mahon River, even after heavy rain. Entire loop took 3 hours.
Picture from peter1 : I'm finished!


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Thank you for considering PHP (HMO SNP). PHP is a Medicare Advantage "Special Needs Plan (SNP)" that includes prescription drug coverage. The plan is a SNP because it is designed around the health care needs of people living with HIV. This is an important consideration when choosing a health plan.
To be eligible to enroll in the plan, you must be a Medicare beneficiary enrolled in Medicare Part B, have an HIV/AIDS diagnosis and live in Duval, Broward or Miami-Dade County.
PHP's goal is to keep its members healthy through routine primary care doctor and specialist visits and tools to help members follow their doctor's care plans. Each member is assigned his or her own registered nurse care manager who acts as a personal health coach and helps coordinate care. The plan makes sure every member can reach a nurse 24 hours a day, seven days a week.
PHP offers other features and additional benefits at no cost and a prescription drug program that are geared to people living with HIV.
Read more about the plan's medical, prescription drug and added benefits not offered by Original Medicare. If you are ready to join PHP, see how to enroll.
You can see Medicare's rating of the plan's 2019 quality and performance. For 2019, PHP is rated at 4 stars by Medicare. Every year, Medicare evaluates plans based on a 5-star rating system.


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Residency of police officers and firefighters. Allows a member of a police or fire department to reside within a county that is noncontiguous to the county where the police or fire department is located but is not more than 50 miles from the closest boundary of the city, town, or township where the police or fire department is located. Residency of police officers and firefighters. Allows a member of a police or fire department to reside within a county that is noncontiguous to the county where the police or fire department is located but is not more than 50 miles from the closest boundary of the city, town, or township where the police or fire department is located.


We consider a nonlinear Dirichlet elliptic equation driven by a nonhomogeneous differential operator and with a Carathéodory reaction , whose primitive is -superlinear near , but need not satisfy the usual in such cases, the Ambrosetti-Rabinowitz condition. Using a combination of variational methods with the Morse theory (critical groups), we show that the problem has at least three nontrivial smooth solutions. Our result unifies the study of "superlinear" equations monitored by some differential operators of interest like the -Laplacian, the -Laplacian, and the -generalized mean curvature operator.
The motivation for this paper comes from the work of Wang  on superlinear Dirichlet equations. More precisely, let be a domain with a -boundary . Wang  studied the following Dirichlet problem: He assumes that , , , with , where and that there exist and , such that where (this is the so-called Ambrosetti-Rabinowitz condition). Under these hypotheses, Wang  proved that problem (1.1) has at least three nontrivial solutions.
The aim of this work is to establish the result of Wang  for a larger class of nonlinear Dirichlet problems driven by a nonhomogeneous nonlinear differential operator. In fact, our formulation unifies the treatment of "superlinear'' equations driven by the -Laplacian, the -Laplacian, and the -generalized mean curvature operators. In addition, our reaction term is dependent, need not be in the -variable, and in general does not satisfy the Ambrosetti-Rabinowitz condition. Instead, we employ a weaker "superlinear'' condition, which incorporates in our framework functions with "slower'' growth near . An earlier extension of the result of Wang  to equations driven by the -Laplacian was obtained by Jiang [2, Theorem 12, p.1236] with a continuous "superlinear'' reaction satisfying the Ambrosetti-Rabinowitz condition.
So, let be as above. The problem under consideration is the following: Here is a map which is strictly monotone and satisfies certain other regularity conditions. The precise conditions on are formulated in hypotheses . These hypotheses are rather general, and as we already mentioned, they unify the treatment of various differential operators of interest. The reaction is a Carathéodory function (i.e., for all , the function is measurable and for almost all , the function is continuous). We assume that the primitive exhibits -superlinear growth near . However, we do not employ the usual in such cases, the Ambrosetti-Rabinowitz condition. Instead we use a weaker condition (see hypotheses ), which permits the consideration of a broader class of reaction terms.
Our approach is variational based on the critical point theory combined with Morse theory (critical groups). In the next section for easy reference, we present the main mathematical tools that we will use in the paper. We also state the precise hypotheses on the maps and and explore some useful consequences of them.
Theorem 2.1. If satisfies the Cerami condition, are such that , and where then and is a critical value of .
In the analysis of problem (1.5) in addition to the Sobolev space , we will also use the Banach space This is an ordered Banach space with positive cone This cone has a nonempty interior, given by where denotes the outward unit normal on .
In what follows, by we denote the first eigenvalue of , where denotes the -Laplace operator, defined by We know (see, e.g., Gasiński and Papageorgiou ) that is isolated and simple (i.e., the corresponding eigenspace is one-dimensional) and In this variational characterization of , the infimum is realized on the corresponding one-dimensional eigenspace. From (2.8), we see that the elements of the eigenspace do not change sign. In what follows, by we denote the -normalized (i.e., ) positive eigenfunction corresponding to . The nonlinear regularity theory for the -Laplacian equations (see, e.g., Gasiński and Papageorgiou [3, p. 737]) and the nonlinear maximum principle of Vázquez  imply that .
Let be a topological pair with . For every integer , by we denote the th relative singular homology group for the pair with integer coefficients. The critical groups of at an isolated point with (i.e., ) are defined by where is a neighbourhood of , such that . The excision property of singular homology implies that this definition is independent of the particular choice of the neighbourhood .
Suppose that satisfies the Cerami condition and . Let . The critical groups of at infinity are defined by The second deformation theorem (see, e.g., Gasiński and Papageorgiou [3, p. 628]) guarantees that this definition is independent of the particular choice of the level .
Suppose that is finite. We set The Morse relation says that where is a formal series in with nonnegative integer coefficients .
Now we will introduce the hypotheses on the maps and . So, let be such that for some and for some .
Hypotheses and (2.23) lead easily to the following lemma summarizing the main properties of .
Lemma 2.3. If hypotheses hold, then(a)the map is maximal monotone and strictly monotone,(b)there exists , such that (c)we have (where is as in (2.16)).
From the above lemma and the integral form of the mean value theorem, we have the following result.
Example 2.5. The following maps satisfy hypotheses :(a) with .This map corresponds to the -Laplace differential operator (b) with .This map corresponds to the -Laplace differential operator This is an important operator occurring in quantum physics (see Benci et al. ). Recently there have been some papers dealing with the existence and multiplicity of solutions for equations driven by such operators. We mention the works of Cingolani and Degiovanni , Figueiredo , and Sun :(c), with .This map corresponds to the -generalized mean curvature operator Such equations were investigated by Chen-Shen :(d), with ,(e), with .
Let (with ) be the nonlinear map, defined by From Gasiński and Papageorgiou [10, Proposition 3.1, p. 852], we have the following result for this map.
Proposition 2.6. If hypotheses hold, then the map defined by (2.30) is bounded, continuous, strictly monotone, hence maximal monotone too, and of type ; that is, if weakly in and then in .
The next lemma is an easy consequence of (2.8) and of the fact that (see, e.g., Papageorgiou and Kyritsi-Yiallourou [11, p. 356]).
Remark 2.8. Hypothesis implies that for almost all , the primitive is -superlinear. Evidently, this condition is satisfied if that is, for almost all , the reaction is -superlinear. However, we do not use the usual for "superlinear'' problems, the Ambrosetti-Rabinowitz condition. We recall that this condition says that there exist and , such that Integrating (2.41), we obtain the weaker condition with . Evidently from (2.42) we have the much weaker condition Here, the -superlinearity condition (2.43) is coupled with hypothesis , which is weaker than the Ambrosetti-Rabinowitz condition (2.41). Indeed, suppose that the Ambrosetti-Rabinowitz condition is satisfied. We may assume that . Then (see (2.41) and (2.42)). Therefore, hypothesis is satisfied.
Example 2.9. The following function satisfies hypotheses , but not the Ambrosetti-Rabinowitz condition. For the sake of simplicity we drop the -dependence: with .
In this work, for every , we set (by virtue of the Poincaré inequality). We mention that the notation will also be used to denote the -norm. However, no confusion is possible, since it is always clear from the context, whose norm is used. For every , we set and for , we define Then , and we have By we denote the Lebesgue measure on . Finally, for a given measurable function (e.g., a Carathéodory function), we define (the Nemytskii map corresponding to ).
In this section, we prove a multiplicity theorem for problem (1.5), producing three nontrivial smooth solutions, two of which have constant sign (one positive, the other negative).
Proposition 3.1. If hypotheses and hold, then the functionals satisfy the Cerami condition.
Proof. We do the proof for , the proof for being similar.
So, let be a sequence, such that for some , and From (3.6), we have with , so In (3.8), first we choose . Then using Lemma 2.3(c), we have so Next, in (3.8) we choose . We obtain From (3.5) and (3.10), we have for some . Adding (3.11) and (3.12), we obtain for some , so (see hypothesis ).
Hypotheses and imply that we can find and , such that Using (3.15) and (3.14), we obtain with and so First suppose that . From hypothesis , it is clear that we can always assume that . So, we can find , such that Invoking the interpolation inequality (see, e.g., Gasiński and Papageorgiou [3, p. 905]), we have so for some (see (3.17) and use the Sobolev embedding theorem).
Recall that From hypothesis , we have with , . Therefore, from (3.21) and Lemma 2.3(c), we have for some and so for some (see (3.20)). The hypothesis on (see ) implies that , and so and thus (see (3.26)).
Now, suppose that . In this case, we have , while from the Sobolev embedding theorem, we have that for all . So, we need to modify the previous argument. Let . Then we choose , such that so Note that Since , we have (see ). Therefore, for large , we have that (see (3.28)). Hence, if in the previous argument, we replace with such a large , again we reach (3.26).
Because of (3.26), we may assume that In (3.8), we choose , pass to the limit as , and use (3.30). Then so (see Proposition 2.6). This proves that satisfies the Cerami condition.
Similarly we show that satisfies the Cerami condition.
With some obvious minor modifications in the above proof, we can also have the following result.
Proposition 3.2. If hypotheses and hold, then the functional satisfies the Cerami condition.
Next we determine the structure of the trivial critical point for the functionals and .
Proposition 3.3. If hypotheses and hold, then is a local minimizer for the functionals and .
Proof. By virtue of hypotheses and , for a given we can find , such that Then for all , we have for some (see Corollary 2.4, (2.8), (3.34), and Proposition 2.7). Choosing , we have for some . Since , from (3.36), it follows that we can find small , such that so Similarly, we show that is a local minimizer for the functionals and .
We may assume that is an isolated critical point of (resp., ). Otherwise, we already have a sequence of distinct positive (resp., negative) solutions of (1.5) and so we are done. Moreover, as in Gasiński and Papageorgiou [12, proof of Theorem 3.4,] we can find small , such that By virtue of hypothesis (the -superlinear condition), we have the next result, which completes the mountain pass geometry for problem (1.1).
Proposition 3.4. If hypotheses and hold and , then as .
Proof. By virtue of hypotheses and , for a given , we can find , such that Then for and , we have for some and with (see Corollary 2.4 and (3.40)).
Now we are ready to produce two constant sign smooth solutions of (1.5).
Proof. From (3.39), we have Moreover, according to Proposition 3.4, for , we can find large , such that Then because of (3.45), (3.46), and Proposition 3.1, we can apply the mountain pass theorem (see Theorem 2.1) and find , such that From (3.47) we see that . From (3.48), we have On (3.49) we act with and obtain (see Lemma 2.3(c)), so Then, from (3.49), we have Theorem 7.1 of Ladyzhenskaya and Uraltseva [13, p. 286] implies that . Then from Lieberman [14, p. 320], we have that for some . Let , and let be as postulated by hypothesis . Then (see (3.52) and hypothesis ), so Then, from Theorem 5.5.1 of Pucci and Serrin [15, p. 120], we have that .
Similarly, working with , we obtain another constant sign smooth solution .
Next, using the Morse theory (critical groups), we will produce a third nontrivial smooth solution. To this end, first we compute the critical groups of at infinity (see also Wang  and Jiang ).
By virtue of hypotheses and , for a given , we can find , such that Let where For and , we have for some (see Corollary 2.4, (3.56) and recall that ).
Choosing , we see that Hypothesis implies that we can find and , such that Then for all , we have for some (see (3.61)). Let (see hypothesis (iv)) and choose . Because of (3.60), for and for large , we have Since , we can find , such that Also, for large , we have (see hypothesis , (3.62), (3.63), and recall that ). Hence, by the implicit function theorem, is unique and in fact there is a unique function , such that Let We set Then and Moreover, if , then . We set Evidently . Let be defined by Clearly is continuous and (see (3.70)) and so It is easy to see that is contractible in itself. Hence (see Granas and Dugundji [16, p. 389]), so (see (3.73)) and thus (choosing negative enough).
With suitable changes in the above proof, we can have the following result.
Proof. As before, hypotheses and imply that for a given , we can find , such that Let and . Then for some (see Corollary 2.4, (3.79) and recall that ). Choosing , we see that Hypothesis implies that we can find and , such that Then, for any , we have for some (see hypothesis .
Let (see hypothesis ) and choose . Because of (3.81), for a given and for large , we have We also have (see hypothesis , (3.83), (3.84) and note that ).
Now we are ready to produce the third nontrivial smooth solution for problem (1.5).
Proof. From Proposition 3.5, we already have two nontrivial constant sign and smooth solutions We assume that Otherwise we already have a third nontrivial solution , and by the nonlinear regularity theory, , so we completed the proof.
Claim 1. for all .
We do the proof for the pair , the proof for the pair being similar.


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Two Important Tips for Betting Baseball
The problem with public bettors is that they don't handicap their games completely. Whether you are betting on baseball, hockey, football or basketball, you have to look at the stats when you handicap your games. However, your success can depend on the stats that you use.
Most of the public use the general and 해외축구중계 most common statistics available when handicapping their games. Though this data is useful, general statistics only show the tip of the iceberg. There are other stats that directly correlate to a specific aspect of the game that will provide clearer insight on a match-up.
When it comes to betting on baseball, many sports bettors look primarily at the starting pitchers and their current record. Unfortunately, because the record doesn't accurately reflect how good the pitcher is, using the win/loss record of pitchers is a losing baseball betting strategy. Instead, look at two often ignored stats such as Run Supports and Ball In Play Average.
Run Support
Felix Hernandez won the 2010 AL Cy Young with a record of 13-12. A pitcher that is one game above.500 doesn't exactly exude the dominance that we are used to in a Cy Young winner. Nonetheless, Hernandez beat out the Yankee's CC Sabathia and his impressive record of 21-7. I am not saying that Sabathia is average; he is far from it. But the fact is that when a team's offense is producing run support, an average pitcher could look like a Cy Young contender.
Pitching alone doesn't win games, and a pitcher's record also reflects how the offense is producing. Just think what Hernandez's record would have been if he had the run support of a team like the Yankees?
The next time you are handicapping a baseball game, take a peek at his run support. Because pitchers have different styles, run support varies from pitcher to pitcher – even on the same team.
Reviewing this stat might make you like a game even more, or save your bankroll from telling you to lay off a game.
Balls in Play
Many professional handicappers look for pitchers that have the propensity to keep the ball out of play. They do this with the use of the stat Balls In Play Average (BIPA).
When a pitchers allows more balls in play, there is a higher probability for more base runners and runs for the opposition. Though there are outliers, like Derek Lowe (a relatively low ERA with a high BIPA), a pitcher with a high BIPA would require more run support to win a game.


Including the signs that you need to call in a professional -- stat.
There are many home improvements that we look forward to completing -- like a gorgeous kitchen update or planting a lovely garden. But one task that may be less exciting to invest time and money into (but even more important) is roof repair. This area of our house deserves some extra attention because neglecting it can lead to high energy bills, extensive damage or worse, not to mention the costs to fix it.
1. When to go pro. Alyssa Hall from GAF roofing, an expert on all things related to our houses' shingles, says to do a visual inspection of your roof several times a year. Call a professional if you see streaking stains on the shingles, curled or buckled shingles, areas on the roof missing granules or rusted flashings. Water stains in the attic or moss or mold on the roof are also signs of potential problems. It may be time for a new roof if you are noticing higher than average energy bills, moisture or mold in the attic, or leaks after extreme weather.
2. It's all about maintenance. Once a year, you should clean the cobwebs and dust from your ventilation system and exhaust vents. Then, caulk with a high grade sealant around pipes and vents and paint any exposed metal to prevent rust. Also, remove leaves and other debris from the gutters so they don't dam up and overflow. Home Tips offers a helpful tutorial.
3. Once choice can make it last forever (almost). Redbeacon reports that asphalt shingle roofs tend to last approximately twenty years. Although, Halls says if a roof is installed correctly with the right components, it can last a lifetime.
4. People do notice. Your roofing material can actually enhance your home's curb appeal. (Hall confirms that, on average, 40 percent of what you see from the road is the roof!) And Realtor Mag includes roof replacement in the top ten valuable home improvement projects and reports that homeowners can expect to recoup 56.7 percent of these costs when selling.
Click through photos of this Chicago home with a retractable roof.


Whew hooo!! I am writing this from Disneyland as my kiddos and husband are passed out from too much Mickey Mouse. I am having a blast- seeing Disneyland through my 4 year old's eyes is the most amazing thing ever. I love it. Flipping amazing time.
Would love this print for a guest room!
ohmygosh this baby picture is so cute I cant handle.
DIY 2 tone ombre tulle skirts are AH-mazing.
If you are lucky enough to be in San Fran on October 24th, check out this amazing craft workshop from Lovely Indeed & Damask Love with the Land of Nod!
Still time to win a copy of the newest Adobe Photoshop Elements 14!!!
Have a wonderful weekend! Heading to Santa Monica next! Let me know your favorite dinner spot!
« 6 Pinterest Accounts To Follow!


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MACC freezes bank accounts of Bersatu – Azam Baki
Economist expects Malaysia's economy to expand slowly at 3.5% this year
Tuesday, January 25th, 2022 at Economy | News
by BERNAMA / pic by TMR FILE
KUALA LUMPUR – Malaysia's economy is likely to expand at a slower rate this year as the country gradually recovers from the policies and measures implemented during the lockdowns, an economist said.
Malaysia University of Science and Technology (MUST) professor, Geoffrey Williams said that while the country would see economic growth, the figures would not be as optimistic as predicted by international forecasters due to a variety of factors, including the lockdown policies.
"It would probably be around 3.5 per cent because the lockdown policies have affected all aspects of the domestic economy, and we have seen the average and median wages falling," he said.
WIlliams said this during the 2022 Malaysia Economic and Strategic Outlook Forum on the topic 'State of the Nation: Understanding Opportunities and Risks in 2022 To Build Back Better'.
He also highlighted that domestic investments as a proportion of Malaysia's gross domestic product growth had continued to decline – a trend that has been ongoing since 2016.
Meanwhile, consumer and household debts continued to rise while the Employees Provident Fund (EPF) accounts have been significantly depleted.
"These factors have a significant structural impact on the economy, and as such, we anticipate no significant economic rebound but rather a much more muted, tentative and fragile economy," he said.
He went on to say that if there is an increase in Omicron variant cases and the government responds aggressively, Malaysia will face a repeat of 2020 when the country began the year with a positive and relatively high growth forecast, and ended the year with an economy adversely affected by COVID-19.
Commenting on the country's inflation rate, Williams said that external factors, such as the price of oil and the impact of lockdowns, led to a significant increase in inflation in the early part of 2021.
"There is nothing that we can do about external factors that are beyond our control, however, the lockdowns have impacted supply chains, and this was partly due to various policies in terms of price controls and removal of price controls, which impacted headline inflation," he said.
Nevertheless, he noted that excluding core inflation, the inflation level is modest, and expected the headline inflation to be on the decline.
"We expected inflation to be around 1.6 per cent, it may rise slowly, but it will be below two per cent by the end of 2022," said Williams.
He added that, in terms of headline inflation, it would be volatile, but much lower than it was in 2020 and 2021.
"We expect it to normalise around two per cent," he said.
Meanwhile, on the impact of Budget 2022, Williams emphasised the importance of establishing an independent fiscal institution in the country to help understand the impact of budgetary discussions from a forensic perspective, which would report directly to both the parliament and the people.
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Can RPA shift lower-grade federal employees to higher-value work?
Jory Heckman@jheckmanWFED
Automation won't put federal employees out of a job anytime soon, but the spread of robotic process automation (RPA) in agencies will likely have an impact on the types of government jobs that are available within the next decade or so, the General Services Administration's leading voice on RPA said Wednesday.
Ed Burrows, a senior adviser to...
Ed Burrows, a senior adviser to GSA's chief financial officer, said agencies' RPA pilot projects have helped meet a goal within the President's Management Agenda to shift federal employees "from low-value to high-value work."
"We shouldn't be hiring for positions that can be automated. That becomes a dead-end job," Burrows said at an ACT-IAC conference in Washington. "We should think about automation first."
Agencies have found success using RPA to tackle repetitive, menial tasks, like copying and pasting text into forms, but Burrows said it's unclear what tasks lower-grade employees will do when an algorithm can do aspects of their jobs more quickly and efficiently.
"What we're finding so far is many of the jobs are being done by mid-level employees, and so it's actually very easy to move them to more valuable work. They immediately know what they can do with their time," Burrows said. "We have another group of people who are lower-skilled, lower grade level — that's a more challenging situation."
GSA, the IRS and State Department have experimented with RPA pilots to free up labor hours, but actual cost savings have been less apparent.
"You don't get cost savings immediately because the people aren't leaving," Burrows said. "But if you look over the next 10-15 years, there's a wave of retirements coming."
As a result, Burrows said agencies won't fully invest in RPA tools until the government hits a couple "home runs" with the technology. One case study he identified would free up as much as 7,000 labor hours per month.
"With processes like that, your [return on investment] just shoots up. I think then we'll see it more. But it's too new, we don't see a big commitment of investment as agencies are exploring it," Burrows said.
While some agency job series may change over the course of the next 10 years, automation may also make it easier to attract the next generation of talent with in-demand technology skills.
Read more: Automation
For example, Burrows said an agency job description today — in which an employee performs 100 hours a month of "menial tasks" — someday might become a job where an employee builds and manages a suite of bots, and monitors their performance.
"That's a much more appealing type of job for a young person, so there are a lot of long-term benefits to the government," he said.
GSA has 10 bots operating at this point, and has been rolling new bots out at a rate of about one per month since February 2018.
Looking ahead, Burrows said GSA is thinking about how to increase capacity. The agency has trained about a dozen people in the CFO's office to develop bots.
"We're considering should we have a small central team of full-time people? Should we allow part-time people? I'm finding it's not easy to scale up," he said. "I hear in the private sector companies that have thousands of bots running. To be honest, I can't imagine. I mean, what kind of development capacity do they have? How many people would you need, and what kind of monthly rate of deployment of bots would you have to have?"
Jory Heckman
Jory Heckman is a reporter at Federal News Network covering U.S. Postal Service, IRS, big data and technology issues.
Follow @jheckmanWFED
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This Valentine's day Author Novoneel Chakraborty is coming back with his novel 'Half Torn Hearts', the mystery romance is published by Penguin India and the book will have its official worldwide release on 14th February 2019.
Half Torn Hearts is a coming-of-age tale of three-layered individuals coming in terms with their first loss, which bears the devil that we all possess but are scared of encountering and which eventually becomes the cause of our own ruins.
series was listed among Times of India's most stunning books of 2017; it was also featured among Amazon's memorable books the same year. The two books remained on the bestseller list for ten weeks straight and Forever Is a Lie was one of the highest selling books of 2017 on Flipkart. While the third installment in the Stranger trilogy, Forget Me Not, Stranger, debuted as the No. 1 bestseller across India, the second, All Yours, Stranger, ranked among the top five thrillers on Amazon India. Black Suits You also remained among the top five thrillers on Amazon for fifteen weeks. The Stranger trilogy has been translated into six languages. It will soon be adapted into a web series. Cheaters will be available in Hindi as well. Known for his twists, dark plots, and strong female protagonists, Novoneel Chakraborty is also called the Sidney Sheldon of India by his readers. Apart from novels, Novoneel has written and developed several TV shows such as Savdhaan India and Yeh Hai Aashiqui. He lives and works in Mumbai.


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Who is the President of the General Assembly?
Last Updated: May 11, 2018 Views: 1090
A list and biographies of Presidents of the General Assembly (1946 onwards) are posted on the website of the President of the General Assembly.
Current session - 75th session (2020-2021): Volkan Bozkir (Turkey)
Election: GA/12250, COVID-19 procedure
75th session opening remarks:
74th session (2019-2020): Tijjani Muhammad Bande (Nigeria)
Press release: GA/12149
Election: A/73/PV.87
Acceptance speech: A/73/PV.87
74th session opening remarks: A/74/PV.1
73rd session (2018-2019): María Fernanda Espinosa Garcés (Ecuador)
Election: A/72/PV.92 (decision 72/417)
73rd session opening remarks: A/73/PV.1
Closing: A/73/PV.108
72nd session (2017-2018): Miroslav Lajčák (Slovakia)
72nd session opening remarks: A/72/PV.1
71st Session (2016-2017): Peter Thomson (Fiji)
Election: A/70/PV.103
Oath of office and first remarks as President-elect: A/70/PV.118
71st session opening remarks: No remarks given
Closing: A/71/PV.98
70th Session (2015-2016): Mogens Lykketoft (Denmark)
Closing: A/70/PV.118
69th session (2014-2015): Sam Kutesa (Uganda)
68th session (2013-2014): John W. Ashe (Antigua and Barbuda)
67th sess. (2012-2013): Vuk Jeremic (Serbia)
Closing: A/67/PV.99
66th sess. (2011-2012): Nassir Abdulaziz Al-Nasser (Qatar)
Press release GA/11105 [2011]
End of Term Press Conference:
65th sess. (2010-2011): Joseph Deiss (Switzerland)
64th sess. (2009-2010): Ali Abdussalam Treki (Libyan Arab Jamahiriya)
Press release GA/10831 [2009], BIO/4124-GA/10858 [2009]
63rd sess. (2008-2009): Miguel D'Escoto Brockmann (Nicaragua)
62nd sess. (2007-2008): Srgjan Kerim (The former Yugoslav Republic of Macedonia)
Press release SG/SM/11012-GA/10598 [2007]
61st sess. (2006-2007): Haya Rashed Al Khalifa (Bahrain)
61st session opening remarks: A/61/PV.1
60th sess. (2005-2006): Jan Eliasson (Sweden)
59th sess. (2004-2005): Jean Ping (Gabon)
Press releaseGA/10243 + Corr.1 [2004], BIO/3596-GA/10254 [2004]
58th sess. (2003-2004): Julian Hunte (Saint Lucia)
Press release GA/10138 [2003], DPI/2319, BIO/3525-GA/10148 [2003]
57th sess. (2002-2003): Jan Kavan (Czech Republic)
Press release BIO/3447-GA/10042 [2002], DPI/2281
56th sess. (2001-2002): Han Seung-Soo (Republic of Korea)
DPI/2210
Press release BIO/3383-GA/9904 [2001]
Election: A/56/PV.1
55th sess. (2000-2001): Harri Holkeri (Finland)
54th sess. (1999-2000): Theo-Ben Gurirab (Namibia)
53rd sess. (1998-1999): Didier Opertti Badan (Uruguay)
52nd sess. (1997-1998): Hennadiy Udovenko (Ukraine)
51st sess. (1996-1997): Ismail Razali (Malaysia)
50th sess. (1995-1996): Diogo Freitas do Amaral (Portugal)
49th sess. (1994-1995): Amara Essy (Core d'Ivoire)
48th sess. (1993-1994): Samuel R. Insanally (Guyana)
DPI/1403, election - A/48/PV.1
47th sess. (1992-1993): Stoyan Ganev (Bulgaria)
46th sess. (1991-1992): Samir S. Shihabi (Saudi Arabia)
Memorial statements: Press release GA/10972, meeting record A/64/PV.113
45th sess. (1990-1991): Guido de Marco (Malta)
Press release BIO/2505-GA/8057
Memorial statements: Press release GA/10972, A/64/PV.113
44th sess. (1989-1990): Joseph N. Garba (Nigeria)
43rd sess. (1988-1989): Dante Maria Caputo (Argentina)
42nd sess. (1987-1988): Peter Florin (German Democratic Republic)
41st sess. (1986-1987): Humayun Rasheed Choudhury (Bangladesh)
40th sess. (1985-1986): Jaime de Pinies (Spain)
40th session opening remarks: No remarks given
39th sess. (1984-1985): Paul J. F. Lusaka (Zambia)
38th sess. (1983-1984): Jorge E. Illueca (Panama)
37th sess. (1982-1983): Imre Hollai (Hungary)
Closing: No remarks given
36th sess. (1981-1982): Ismat T. Kittani (Iraq)
Memorial statements: Press release SG/SM/8004 [2001], DSG/SM/144 [2001],
35th sess. (1980-1981): Rudiger von Wechmar (Germany)
Closing: A/36/PV.1
34th sess. (1979-1980): Salim A. Salim (United Republic of Tanzania)
33rd sess. (1978-1979): Indalecio Lievano (Colombia)
Press release GA/5809-BIO/1535
32nd sess. (1977): M. Lazar Mojsov (Yugoslavia)
31st sess. (1976-1977): Hamilton Shirley Amerasinghe (Sri Lanka)
32st32st session opening remarks: A/32/PV.1
30th sess. (1975): Gaston Thorn (Luxembourg)
Election: A/PV.2351
Closing: A/PV.2444
29th sess. (1974-1975): Abdelaziz Bouteflika (Algeria)
30th session opening remarks: A/PV.2351
28th sess. (1973-1974): Leopoldo Benites (Ecuador)
27th sess. (1972): Stanislaw Trepczynski (Poland)
Press release BIO/966-GA/4601
26th sess. (1971): Adam Malik (Indonesia)
Press release GA/4406-BIO/875
25th sess. (1970): M. Edvard Hambro (Norway)
24th sess. (1969): Angie Brooks (Liberia)
Press release BIO/705/Rev.1
23rd sess. (1968): Emilio Arenales (Guatemala)
22nd sess. (1967-1968): Corneliu Manescu (Romania)
23rd session opening remarks: A/PV.1674
21st sess. (1966): Abdul Rahman Pazhwak (Afghanistan)
22nd session opening remarks: A/PV.1560
20th sess. (1965): Amintore Fanfani (Italy)
21st session opening remarks: A/PV.1409
19th sess. (1964-1965): Alex Quaison-Sackey (Ghana)
Press release BIO/301
Closing Remarks: A/PV.1286 (last page not digitized)
18th sess. (1963): Carlos Sosa Rodriguez (Venezuela)
Closing Remarks:A/PV.1285
17th sess. (1962): Muhammad Zafrulla Khan (Pakistan)
Closing Remarks: A/PV.1202
16th sess. (1961-1962): Mongi Slim (Tunisia)
15th sess. (1960-1961): Frederick Henry Boland (Ireland)
Press release BIO/63
Election: A/PV.864
Closing Remarks: A/PV.995
16th session opening remarks - Tribute to Dag Hammarskjöld: A/PV.1007
14th sess. (1959): Victor Andres Belaunde (Peru)
15th session opening remarks: A/PV.864
13th sess. (1958-1959): Charles Malik (Lebanon)
14th session opening remarks: None Given by Mr. Malik
12th sess. (1957): Sir Leslie Munro (New Zealand)
11th sess. (1956-1957): Prince Wan Waithayakon (Thailand)
10th sess. (1955): Jose Maza (Chile)
9th sess. (1954): Eelco N. van Kleffens (Netherlands)
10th session opening remarks - None Given by Mr. van Kleffens
8th sess. (1953-1954): Vijaya Lakshmi Pandit (India)
Closing Remarks: Makes Statement Deferring Remarks Until Opening of 9th Session - A/PV.472
9th session opening remarks - A/PV.473
7th sess. (1952-1953): Lester B. Pearson (Canada)
Election: A/PV.376, address by Pres. - A.PV.377
Closing Remarks - No Remarks Given - A/PV.431
8th session opening remarks- A/PV.432
6th sess. (1951-1952): Luis Padilla Nervo (Mexico)
7th session opening remarks: A/PV.376
5th sess. (1950-1951): Nasrollah Entezam (Iran)
4th sess. (1949): Carlos P. Romulo (Philippines)
Press release PM/1367/Rev.1
Closing: A/PV.276
3rd sess. (1948-1949): H. V. Evatt (Australia)
4th session opening remarks: Mr. Evatt was not present but a message from him was read
2nd sess. (1947): Oswaldo Aranha (Brazil)
Election: A/PV.81
3rd session opening remarks: A/PV.136
1st sess. (1946): Paul-Henri Spaak (Belgium)
Election: A/PV.1
Closing: A/PV.67
2nd session opening remarks - No Remarks Given
President of the General Assembly website