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Given two integers N and M representing the Length of arr  and number of seconds. The task is to maximize the sum of the subarray where it takes 0.5secs to travel in consecutive elements and 0.5secs to add a value of the element in sum. It is given that one can start from any element.Example:Input: N = 7, M = 3, arr = { 2, 1, 3, 5, 0, 1, 4 }Output: 9Explanation:  One can start from index 1 and move to index 2 and then to index 3. Hence, the total sum is  = 1 + 3 + 5 = 9.Input: N = 6, M = 2, arr = { 1, 6, 2, 5, 3, 4…

Learn how to extend Newton’s Method to and solve constrained optimization problemsAll Images by AuthorThis article is the 2nd in a 3 part series. In the 1st part, we studied basic optimization theory. Now, in pt. 2, we will extend this theory to constrained optimization problems. Lastly, in pt. 3, we will apply the optimization theory covered, as well as econometric and economic theory, to solve a profit maximization problem.Consider the following problem: You want to determine how much money to invest in specific…

Spatial patterns of multi-year mean biases in (a) surface downward solar radiation (Rs, in W•m-2), (b) total cloud cover fraction (TCC, in %) and (c) clear-sky surface downward solar radiation (Rs-clear, in W•m-2) of the CMIP6 MMM against the ground-based observations averaged from 1961 to 2014. Photo credit: Yanyi He and Kun Yang. Credit: Science China Press Surface solar radiation (Rs) data is essential information for the…

Lockheed Martin Corp. LMT 2.03% said it is still grappling with parts and labor shortages, denting its hopes of increased sales next year and taking advantage of rising demand for its military equipment. The world’s largest defense company by revenue said it now expects sales to remain flat next year compared with 2022 as it awaits more deals driven by Russia’s invasion of Ukraine and China’s military expansion. The…

A comparative analysisPhoto by Vishal Bansal on UnsplashData science is widely used today to create Digital Twins — which are digital counterparts of real world physical systems or processes that can be used for simulation, prediction of behavior to inputs, monitoring, maintenance, planning etc. While such Digital Twins are commonly visible in everyday applications such as cognitive customer service bots, in this article, I would be comparing the Data Science techniques used for modeling two different types of Twins by…

The Bank of Ghana has raised its benchmark interest rate by 300 basis points to 22 per cent in its latest effort to combat the country’s rising inflation. The decision was taken Thursday at the central bank’s emergency meeting. The bank had in light of the increase in inflation in July and heightened pressures in the foreign exchange market called for the meeting to deliberate on the underlying drivers. Headline inflation rose to 31.7 per cent in July, from 29.8 percent in June, the 11th consecutive month of…

Question: When does an internal-combustion-engined car become valueless? Answer: When the cost of buying or leasing an electric vehicle along with paying for maintenance and miles becomes less expensive than using a free gas car. That’s already been the case for years for high mileage drivers but with higher gas prices, we’ve now reached the point where the cost comparison is becoming more acute. It is now noticeable even to consumers that don’t drive a higher range of miles. In a story this week, Bloomberg…

How to fit a SciPy Linear Regression and call R Ridge Regression from Python using RPy2 InterfacePhoto by Will Francis on UnsplashThe most common approach in Marketing Mix Modeling(MMM) is to use Multiple Linear Regression, which finds a linear relationship between a dependent variable such as sales or revenue, and independent variables including media advertisement channels like TV, Print, and additional variables like trend, seasonality, holidays. One of the questions marketers might have is what effect each media…

Nio began deliveries of its new ET7, an upscale electric sedan, on Monday, March 28, 2022.NioChinese electric vehicle maker Nio delivered more than 7,000 vehicles in May, up 4.7% from a year ago but well below its current production capacity, as Covid-related disruptions continued to limit the company's manufacturing and its ability to deliver vehicles to customers.Nio said in a statement that its manufacturing had been "gradually recovering" in May from pandemic-related disruptions, but that its ability to deliver…