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The well-known Density Peak Clustering algorithm (DPC) proposed a heuristic center detection idea, i.e., to find density peaks as cluster centers. Nevertheless, such a center detection idea cannot work well on multi-peak clusters of complex shapes. Besides, DPC needs the distances between data, making it prohibitively time-consuming. To overcome these problems, a Main Density Peak Clustering algorithm (MDPC+)—clustering by fast detection of main density peaks within a peak digraph—is proposed, where a main density peak is the highest density peak in a cluster. MDPC+ can easily detect the real centers of multi-peak clusters based on its new center assumption. In MDPC+, the clustering problem is viewed as a graph cut problem and a specific graph structure is designed for non-peak and density peak allocation, respectively, so it can reasonably reconstruct clusters of complex shapes. Meanwhile, a satellite peak attenuation technique is embedded into MDPC+ to give it a high resistance to the interference of satellite peaks (i.e., non-center density peaks). Besides, MDPC+ only needs kNN distances of data as its input, so it is suitable for large datasets. Experimental results on both synthetic and real-world datasets demonstrate the superiority of MDPC+ in center detection, complex shape reconstruction, and running speed. [ABSTRACT FROM AUTHOR]

Given a simple graph G = (V , E) and a real constant γ ∈ (0 , 1 ] , a γ -clique (or γ -quasi-clique) is a subset V ′ ⊆ V inducing a subgraph with edge density at least γ. The minimum quasi-clique (or γ -clique) partitioning problem (MQCPP) consists in partitioning the vertices of the graph in γ -cliques to minimize the number of elements in the partition. In this paper, we formally introduce the minimum quasi-clique partitioning problem, which has not yet been addressed in the literature from an optimization point of view. We show by using a reduction from the unweighted maximum cut problem that even deciding whether a graph can be partitioned into two γ -cliques is NP-complete. This result contrasts with that of the clique partitioning problem, whose decision version is polynomially solvable for bipartition. We propose four integer programming formulations and a multi-start greedy randomized heuristic to provide initial feasible solutions for MQCPP. Computational experiments show that two formulations that employ the principles of representatives outperform the others regarding the best-obtained solutions and the number of instances solved optimally within the imposed time limit. Furthermore, the results also demonstrate that the instances with medium values of γ are more challenging for the proposed formulations than those with larger or lower values. [ABSTRACT FROM AUTHOR]

Due to the wide application of s - t minimum cut (min-cut) in various scenarios, many acceleration algorithms have been proposed to solve it. However, the query times of the acceleration algorithms currently available are still high in large-scale graphs, rendering them useless in frequently solving scenarios. We re-examine the min-cut problem from a novel perspective of cut collection hash. By extracting aggregated hashes of mapped cut collections in one-dimensional space, a Monte Carlo-like method is used to quickly compare them and estimate the minimum cut between any two nodes with low computational effort and high accuracy. After the graph is preprocessed using a few hundred depth-first traversals, the time complexity of the min-cut solution can be logarithmic in terms of the average degree and capacity of the graph. Experiments on large-scale graphs show that compared to the fastest exact algorithm, the proposed algorithm can increase the speed of the min-cut solution by up to seven orders of magnitude, when only a few mathematical comparisons per pair are needed to obtain exact min-cut values of no less than 99.9% node pairs. • The minimum cut problem is revisited from a novel angle of cut collection. • It is the first algorithm that finds the minimum cut through comparing aggregated hash of cut collections. • Cut collections are mapped to one-dimensional space to obtain fingerprint facilitating fast comparison. • The preprocessing overhead can be as low as limited passes of depth-first traversals to obtain 99.9% exact minimum cut values. • The average acceleration ratio to the fastest minimum cut implementation can be more than 7 orders of magnitude. [ABSTRACT FROM AUTHOR]

Graph cut has been a popular approach widely used to solve the minimum cut problem, which is prevalent in computer vision tasks, although not limited to this field. Push-relabel is considered as one of the promising algorithms of graph cut due to its good potential to be parallelized. However, existing implementations often not only fail to fully exploit the available parallelism but also fail to make full use of the application context to reduce redundant computations. Therefore, they are not competent for application scenarios with high resolution and real-time requirements. To address the issue, we propose three novel techniques to achieve an ultra-fast and efficient FPGA implementation of a push-relabel algorithm. First, we propose a ripple push technique that significantly parallelizes push operations so as to accelerate the push-relabel convergence process. Second, we propose an early-termination technique that effectively removes redundant computations of the push-relabel algorithm. We also theoretically prove the correctness of our early-termination technique. Third, we propose a highly parallelized search technique called flood irrigation search (FIS). It quickly judges early termination conditions based on a pixel parallel architecture. Our implementation focuses on performance-sensitive applications that divide large images into small graph tiles with a specific size. Compared to the state-of-the-art FPGA implementations of push-relabel algorithms, experimental results show that our method can at least achieve $8.93\times $ improvement of execution time. [ABSTRACT FROM AUTHOR]

READ ALL ABOUT IT Tricky Triangles Aligning equilateral triangles is easy - you just line them up and sew. Lay triangles on your surface near the tape so the bottom triangle aligns with the tape as shown. Crease and Align Method Fold patches in half and lightly finger press to form a crease in the center. [Extracted from the article]

• We design a task rank matrix to identify good links and poor links between tasks. • A new Route Cutting Off operator (RCO) is developed to decompose a route. • Two new algorithms are proposed for LSCARP by embedding RCO into existing algorithms. • The newly proposed algorithms show their effectiveness on LSCARP. The capacitated arc routing problem is a very important problem with many practical applications. This paper focuses on the large scale capacitated arc routing problem. Traditional solution optimization approaches usually fail because of their poor scalability. The divide-and-conquer strategy has achieved great success in solving large scale optimization problems by decomposing the original large problem into smaller sub-problems and solving them separately. For arc routing, a commonly used divide-and-conquer strategy is to divide the tasks into subsets, and then solve the sub-problems induced by the task subsets separately. However, the success of a divide-and-conquer strategy relies on a proper task division, which is non-trivial due to the complex interactions between the tasks. This paper proposes a novel problem decomposition operator, named the route cutting off operator, which considers the interactions between the tasks in a sophisticated way. To examine the effectiveness of the route cutting off operator, we integrate it with two state-of-the-art divide-and-conquer algorithms, and compared with the original counterparts on a wide range of benchmark instances. The results show that the route cutting off operator can improve the effectiveness of the decomposition, and lead to significantly better results especially when the problem size is very large and the time budget is very tight. [ABSTRACT FROM AUTHOR]

A carefully built jig makes for accurate tenons Precision is critical to this build; any inaccuracy in the jig will affect the accuracy of your tenons. Adjustable pressure bar eliminates side-to-side play Turn your attention to the phenolic pressure bar and dialing in its fit until the jig slides smoothly along your fence. ADJUSTABLE PRESSURE BAR A shim between the phenolic pressure bar and the short upright lets you dial in the fit of the jig after it's assembled. [Extracted from the article]

STEVE TOOK A STOCKO LS1 AND GAVE IT A BASIC FRESHEN-UP, THEN STRAPPED A TURBO FROM A CATERPILLAR TRACTOR TO IT Steve stumbled across this FE and a much nicer FC for $1500 on Facebook Marketplace around 12 months ago. The virtually standard LS then had an 80mm turbo strapped to it: "All I know is that it's a turbo from a Caterpillar tractor and it was roughly the specs I needed", Steve laughs. SOMETIMES keeping things simple and going back to basics can yield the best results, and few builds demonstrate that as plainly as Steve Metcalfe's cheap-as-chips FE Holden project. [Extracted from the article]

FEATURES THE LICENSE PLATE THAT ADORNS THIS ABSOLUTELY KILLER '56 CHEVY PICKUP IS SORT OF AN INSIDE JOKE TO ITS OWNER. But besides worrying about what color to paint the truck or whether to opt for a personalized license plate, Bryan started this project from very humble beginnings some 18 years ago. Since Bryan was dead set on driving the truck as much as possible, a lot of time and effort was invested to getting the inside of the cab in tip-top shape. [Extracted from the article]

THE T-Cross doesn't lead its class, but that Volkswagen badge is very reassuring for many buyers. Common faults VW's reputation for reliability means that owners' expectations are high, but in the latest Driver Power survey the T-Cross came 66th out of 75 for reliability. CHECK ON... Going spare All T-Crosses have a tyre mobility kit. [Extracted from the article]

Optimal nesting is the arrangement of two- dimensional polygons within a rectangular board so that waste is minimized. Our approach follows a top-down, stepwise refinement of the original problem into simpler sub problems; the combined solution of all of the problems permits the solution of the original problem. We first show that the original problem can be decomposed into two subproblems-one consisting of finding all convex paver polygons and the other of optimal (minimal waste) circumscription of the original figure in the most appropriate paver polygon. [ABSTRACT FROM AUTHOR]

The Peruvian central bank's main signal to markets is one of caution that ensures that the country will move inflation to target, according to Velarde. (Bloomberg) -- Latin America's longest-serving central bank chief, Julio Velarde, said he needs to be sure inflation has been brought under control before he can be more assertive with monetary policy in Peru. [Extracted from the article]

Using technology that company officials have refined with NASA over 30 years, Los Angeles-based JetZero aims to introduce a commercial version of its aircraft by early next decade, according to its website. JetZero plans to start flying a demonstrator model, a full-scale blended-wing body aircraft, by early 2027, US officials said Wednesday. (Bloomberg) -- The US Air Force is investing $235 million in aerospace startup JetZero to build an unconventional plane that burns far less fuel than the aircraft that have long dominated the skies. [Extracted from the article]

The biotech has redesigned the formulation to counter a problem—but the developments have set the program back years and triggered a 48% stock drop. [ABSTRACT FROM AUTHOR]

The article reviews the Arno Cooling System (ACS) coolant from Arno Werkzeuge USA, increases tool life significantly due to the new and innovative cooling technology.

The measures are among a raft of proposals Kgosientsho Ramokgopa will submit to President Cyril Ramaphosa's cabinet this month to end daily blackouts that are hobbling Africa's most industrialized economy. The nation's debt-strapped state-owned power utility, Eskom Holdings SOC Ltd., doesn't have the money to invest in its capital equipment, and so it will have to seek funding elsewhere, he told reporters Thursday in the capital, Pretoria. (Bloomberg) -- South Africa's electricity minister called for more state funding and exemptions on emissions limits at coal-fired power plants to help ease the nation's energy crisis. [Extracted from the article]

And our water signs--Cancer, Scorpio, Pisces--are the feelers of the zodiac. Water signs seek depth and emotional fulfillment, so even if you or a water sign you know is not outwardly emotional, per se, it doesn't mean that they don't weigh out all of their relationships, experiences, and dynamics against a very high bar for emotional satisfaction. Some of the most compatible pairing for each of the water signs are: Cancer Virgo: With Virgo and Cancer sitting two signs away from each other on the zodiac wheel, there is a naturally compatible and attractive element to their pairing. [Extracted from the article]

In total, Preben has over 30 years of experience in the machine tool accessory market and over 40 years in the manufacturing industry. Reflecting on 100 years as a family in the manufacturing industry, Preben Hansen says, "The machine tool industry has been and continues to be an extremely vital part of our country's continued success. Preben's father, Svend Eckart Hansen, honed his skills under the guidance of Louis. [Extracted from the article]

The Wangaratta Scroll Saw Weekend (30 April and 1 May) was staged by the Wangaratta Woodworkers Club and involved mostly members of the Australian Scroll Saw Network. The next scroll saw weekend will be held in Wodonga (Vic) on 6-7 August. [Extracted from the article]

We deal here, with a real-world problem, called antennas preassignment problem. We first show how it can be modeled as a particular kind of circular cutting problem. Next, we develop a simulated annealing heuristic solving it with good performance. Our method is based upon the definition of an energy function reflecting the objective to be optimized; small values of this function correspond to local optima of good quality for our problem. [Copyright &y& Elsevier]

Examination of how to cut a cake under different nations of fairness for two people. Demonstration of existence of an optimal planar cut; Application of equitable technique to divisible goods; Requirements of optimal planar-cut; Advantages of the planar cut technique.

This is despite the vast majority of side roads having well-sighted entrances and the one that doesn't has a temporary 70km/h limit triggered by side traffic, an intelligent solution. Been a review of Victoria's speed limits recently. IN GENERAL, PEOPLE WILL ABIDE BY RULES AND REGULATIONS IF THEY FIND THEM REASONABLE This recent speed limit review came to my attention during a trip to the Bryant Park Hillclimb circuit to shoot some videos for the MOTOR YouTube channel (go watch them, now!). [Extracted from the article]

(Bloomberg) -- British Airways operated what was billed as a "carbon neutral" flight this week between London and Glasgow, as it tries to burnish its green credentials in the lead-in to next month's COP26 climate summit in Scotland. BA's "CO2-Neutral" Flight Exposes Problems Cutting Emissions Emissions were 62% lower on this week's flight, BA said. [Extracted from the article]

The South Korean company has confirmed that its TVs come with a TV Block app that links to its servers the first time the TV connects to the internet. THE FACTS • Samsung is remotely deactivating TVs looted from a South African warehouse • It uses the TV Block app that is built into all its TVs • TVs can be turned back on if the owner shows proof of purchase PHOTO (COLOR). [Extracted from the article]

Latitude and longitude co-ordinates are long numbers and hard to remember. It also plays podcasts and music, so long as you haven't downloaded them via a proprietary app such as Spotify or Pocket Casts, and sorts together videos from WhatsApp conversations. Using the Bitmoji keyboard you can send from a huge range of pictorial messages, all customised to feature your Bitmoji character, and the receiver doesn't need to have the app installed to view your custom caricature, so you can send the entertaining images to anyone. [Extracted from the article]

Zinc concentrate treatment charges (TCs) edged higher in mid-June, with more material from mines in China and elsewhere boosting supplies, while the power cut problems that affected smelters in Yunnan province are seemingly resolved. [ABSTRACT FROM AUTHOR]

With a plow plane, start at the far end of the board, getting more and more of the run close to its final dimension before taking full cuts front to back. A common problem with cutting tools such as marking gauges and plow planes is that the cutter sometimes wanders with the grain. [Extracted from the article]

I rechecked my finished measurements and found the door opening on that side is wider at the top, which seems to be causing the door gap problem. If your door opening has lozenged, you can often correct it by pushing diagonally across the door opening with a hydraulic ram. Ron Covell has made many DVDs on metalworking processes, and he offers an ongoing series of workshops across the nation covering all aspects of metalworking. [Extracted from the article]

K itc h e n M a g n e ts fo r S c ra p e r S p a c e rs To prevent damaging the hooks of my card scrapers when they' re stacked together in a drawer, I store them with a kitchen sheet magnet in between each scraper. Then, if I just leave the magnet on the scraper during scraping, it acts like an insulator to prevent burning my thumbs when the scraper heats up. T R I C K S DF T H E T R A D E Sim ple Solutions fo r S pacers, S to rag e C le a n S w ip e S o lu tio n fo r H a r d w a r e M a r k in g I' ve tried various ways to mark furniture or cabinet doors and drawers for hardware locations before installing it, but this is my favorite method. [Extracted from the article]

The article focuses on the collar portfolio management strategies to avoid the risks of decline in the stock price. It discusses the parts of collar which include 100 shares of long stock, a short call, and a long put. It also mentions how collar create profits when stock price declines and discusses how collar locked Amazon in profits and limits losses.