Are investigated a trajectory of new type in distant, space flights unlike usual trajectories of direct flight to heavenly object (Moon) it is supposed to use asymmetry of a gravitational field and to carry out flight bypassing the most power gravitational impact on the spacecraft. It leads to economy of power for 20-30 %.

The world of science and engineering of sustainability and nanotechnology are in today’s scientific fabric are in the aisles of newer scientific divination. Environmental, energy and socio-economic sustainability are the utmost needs of the hour. In the similar vision, nanotechnology needs to be aligned with diverse areas of natural sciences, applied sciences and engineering sciences. The definition of “sustainability” as described by Dr Gro Harlem Brundtland, former Prime Minister of Norway needs to be re-envisioned, rethought and rejuvenated with the passage of scientific history and time. Human struggles, human scientific and engineering challenges and human impact needs to be rethought as environmental protection and environmental disasters are in the path of immense scientific contemplation. In this paper, the author deeply discusses with verve and validation the integration of nanotechnology and sustainability. Human race today stands in the middle of deep scientific disaster and also scientific contemplation. Loss of ecological biodiversity and frequent environmental disasters are urging the scientific and engineering community to move towards newer scientific innovations and newer environmental engineering tools. Thus the need of a comprehensive treatise in the field of nanotechnology and sustainable development. Nanotechnology has vast and varied applications in the field of environmental pollution control. The author deeply targets these areas of scientific and engineering research endeavor. A newer era in the field of nanotechnology, nano-engineering and sustainability will surely usher in if a concerted effort is taken in the proper implementation of United Nations Sustainable Development Goals and the vision of Brundtland Commission Report. A new generation of scientists and engineers will move towards positive research directions if man and mankind innovates and envisions the basics and fundamentals of environmental engineering science, chemical process engineering, sustainable engineering and nanotechnology.

Derivative is a foundational concept in calculus but can be challenging for secondary students to grasp conceptually. This paper provides an overview of research-backed strategies for developing a strong conceptual understanding of derivative. Visual and intuitive approaches are discussed, such as relating the derivative to real-world contexts involving speed, growth, and modeling phenomena. The importance of multiple linked representations and building connections between graphical, numeric, verbal and symbolic perspectives is emphasized. Strategies for motivating learning through real-world applications and simulations relating concepts to students' lives are outlined. Procedural expertise and conceptual mastery are cultivated together. The benefits of a conceptual learning, problem solving abilities, and STEM-related fields are noted. Curricular recommendations focus on conceptual exploration prior to formal definitions. Thus, the paper highlights best practices for conceptualizing derivative through visual-intuitive, multi-representational and application-based approaches to promote flexible, adaptive understanding and lay the groundwork for calculus success.

Fake news is untrue information presented as news. It often the aim of damaging the reputation of a person or entity or making money through advertising like a picture, short film, song, etc., revenue. Due to exponential growth of information in online, it is very impossible to figure out the true from the false. Some of the social media networks such as Twitter, Instagram and Facebook are affected by their user through fake news, and it is very hard to catch the fake stories before they go viral. Today most of the people prefer to search and absorb media news instead conventional one. Now days the widespread distribution of fake news may affect people and society. So we decide to build a web app to detect the fake news. The credibility and trust in the news media are at an all-time low with an object that is made to look real or valuable in order to deceive people. It is becoming increasingly difficult to determine which news is real and which is fake various machine learning methods have been used to separate real news from fake ones like experts revealed that the painting was a fake. There are some of the aspects that has to be kept in mind considering the factas something is believable, it seems possible, real, or true that fake news detection is not only a simple web interface but also a quite complex thing that includes a lot of backend work to identify the information or reports about recent events.