Thursday, January 31, 2019

16 January 2019:Series of Cold waves in Kashmir, NMR reveals chemical structure in a fraction of time, the first impact flash was ever seen during a lunar eclipse, Tornado hits Havana, The scientist creating test-tube penguins, America sizzling at -50C might reach -60C in Minnesota and Dakota.

trusciencetrutechnology@blogspot.com 
           Volume 2019, Issue No.1,  Dated: January 17, 2109, Time: 7:12:26 PM  
            
January 17, 2019: Series of Cold waves in Kashmir, NMR reveals chemical structure in a fraction of time, the first impact flash was ever seen during a lunar eclipse, Tornado hits Havana, The scientist creating test-tube penguins, America sizzling at -50C might reach -60C in Minnesota and Dakota.  
           Professor Dr. Kotcherlakota Lakshmi Narayana,
M.Sc. (Math. Phys.), M.Sc. (Nucl. Phys.), Ph. D. (AU), Int. Edu & Res. (Sweden 1964-65) 
     While returning from Sweden, spent a few days in England, Paris, Egypt and etc. countries, 
    Visited USA about 12 Universities, several National Laboratories and Institutes during four months
Sept.to December 1988. and in 1989 visited Japan for about
10 days, and South Korea Conf. in Physics for a week in 1989.
 [Retd. Prof of Physics; Shivaji University, Kolhapur - 416004]
Residential Address: 17- 11-10, Narasimha Ashram, Official Colony,
      Maharanipeta.  P. O., Visakhapatnam-530002, A.P. Mobile: 09491902867.
       kotcherlakota_l_n@hotmail.com; DOB:23-07-1940.
     lakshminarayana.kotcherlakota@gmail.com

ABSTRACT
17 Jan. 2019: Kashmir struck with severe cold snow falls a second time in this month. The Visakhapatnam experiencing severe cold at night 17C temperature, and it is unusual for this city and may continue another couple of days. January 18, 2019, Massachusetts Institute of Technology, Enhanced NMR reveals chemical structures in a fraction of the time. The new approach, which relies on short pulses of microwave power, could allow researchers to determine structures for many complex proteins. On January 21, six earthquakes occurred in the US, where on earthquake was measured at a magnitude of 4.7. Four out of six earthquakes have hit Alaska, one hit Oklahoma and the remaining one in California. Now, few people are connecting these events with Blood Moon and claiming that these earthquakes have occurred due to this astronomical event. The magnitude of four earthquakes which hit Alaska on January is measured at 4.7, 3.0, 2.5 and 2.7 Richter scales. These earthquakes firstly took place on January 20 at 7:59 pm and 11:33 pm and January 21 at 4:59 am and 8:33 am. The quake which hit Oklahoma was measured at a Richter scale of 3.6, somewhere around southeast of Helena while California’s earthquake was measured at 3.3 Richter scale, somewhere around 5 km of east-southeast of Chester. January 23 at 8:20 PM: CAPE CANAVERAL, Fla. Astronomers managed to capture the moment of an impact during this week’s eclipsed moon. Spanish astrophysicist Jose Maria Madiedo of the University of Huelva said Wednesday it appears a rock from a comet slammed into the moon during the total lunar eclipse late Sunday and early Monday. The strike was seen by telescopes in Spain and elsewhere as a bright flash. Madiedo said it’s the first impact flash ever seen during a lunar eclipse.  24 January 2019, 07:54 PM: Are California, Oklahoma and Alaska earthquakes and Blood Moon connected? Few people are connecting these events with Blood Moon and claiming that these earthquakes have occurred due to this astronomical event.  Jan 26, 2019, 18:51 PM IST: ITBP jawans celebrate Republic Day at 18,000 ft in freezing Ladakh. Jan. 28, 2019, 5:18 PM ‎IST: Tornado hits Havana; Cuban president says 3 dead, 174 hurt. The Cuban capital was battered late Sunday and early Monday by powerful winds and heavy rains. At 3:40:54 AM EST: Polar vortex to bring prolonged, life-threatening cold outbreak to the midwestern US this week. January 30, 2019, 16:37 IST: Washington:  Warming oceans can increase the frequency of extreme rainstorms. America sizzling at -50C might reach -60C  in Minnesota and Dakota. Italy ancient years ago constructs to avoid tax and in winter quite cool now used as resorts.The scientist creating test-tube penguins. January 31, 2019: Thursday: Israel Aerospace Industries announces agreement worth $93 million with Indian Navy, Cochin Shipyard.

DETAILS:
January 17, 2019: Defects in the transport of cells' energy organelles are a suspected cause of diseases including Alzheimer's, ALS, Huntington's and Parkinson's. A new study reveals the genetics behind mitochondrial shifts. Sea slug study illuminates how mitochondria move. Massive energy needed for nerve cells to keep 'talking'.
17 Jan. 2019: Kashmir struck with severe cold snow falls a second time in this month. The Visakhapatnam experiencing severe cold at night 17C temperature, and it is unusual for this city and may continue another couple of days. 
                                
                          Fig.1 Aerial view of Makara Sankranti at Kumbha Mela
18-Jan-2019: University of Cologne: Classic double-slit experiment in a new light.  the researchers in Cologne investigated an iridium oxide crystal (Ba3CeIr2O9) by means of resonant inelastic X-ray scattering (RIXS). The crystal is irradiated with strongly collimated, high-energy X-ray photons. The X-rays are scattered by the iridium atoms in the crystal, which take over the role of the slits in Young's classical experiment. Due to the rapid technical development of RIXS and a skillful choice of crystal structure, the physicists were now able to observe the scattering on two adjacent iridium atoms, a so-called dimer.  'The interference pattern tells us a lot about the scattering object, the dimer double slit. 
January 18, 2019, Massachusetts Institute of Technology, Enhanced NMR reveals chemical structures in a fraction of the time. The new approach, which relies on short pulses of microwave power, could allow researchers to determine structures for many complex proteins that have been difficult to study until now. "This technique should open extensive new areas of chemical, biological, materials, and medical science which are presently inaccessible.
1/18/2019, 2:27 AM: Oil from humble saltwater plant blended with jet fuel on Etihad Airways flight. Flying is incredibly carbon intensive, and jet fuel is hard to replace.
18 Jan. 2019: Dr. Claudius Gros of Goethe University’s Institute for Theoretical Physics recently published a paper that looks at planetary protection and makes the case for “Genesis-type” missions. The paper, titled “Why planetary and exoplanetary protection differ: The case of long duration Genesis missions to habitable but sterile M-dwarf oxygen planets“, recently appeared online and is due for publication by the journal Acta Astronautica. As the founder of Project Genesis, Gros addresses the ethical issue of seeding extrasolar planets and argues how and why planetary protection may not apply in these cases.
19-Jan-2019: New class of solar cells, using lead-free perovskite materials. Ulsan National Institute of Science and Technology(UNIST). With its promising electronic properties, the new perovskite material has been demonstrated to function as a charge regenerator with dye? Sensitized solar cells, thus enhancing both the overall efficiency and stability. Their analysis demonstrated that the surface state of Cs2SnI6 is highly redox active and can be effectively charged/discharged in the presence of iodide redox mediators. Besides, the preparation of a charge regenerator system based on Cs2SnI6 confirmed that charge transfer occurred through the surface state of Cs2SnI6. "In case of Cs2SnI6, charge transfer occurred through the surface state of Cs2SnI6," says HyeonOh Shin in the Combined MS./Ph.D in Chemistry at UNIST. "This will aid in the design of future electronic and energy devices, using Pb-free perovskites."  Based on this strategy, the research team engineered hybrid solar cells, using a Cs2SnI6?based charge regenerator for organic dye-sensitized solar cells (DSSCs). Such solar cells generate electric current in the process where the oxidized organic dye returns to its original state.
January 19, 2019: 11:42 PM: Winter storm disrupts travel across U.S.  A large, powerful and dangerous winter storm is taking aim at about one-third of the nation this weekend. It rapidly moved from the Central Plains to the Midwest and is moving toward the Northeast and New England. Some northern areas of New England could see up to 18 inches of snow. The storm is expected to drop snow, sleet, freezing rain and ice in many places. After that, temperatures are expected to turn bitterly cold.
January 20, 2019: Strong 6.7-strength quake jolts north-central Chile: USGS. The earthquake, which hit at 0132 GMT (Sunday), was felt in Valparaiso, O'Higgins and the region of the capital Santiago, as well as in Atacama and Coquimbo up north. The quake struck at a depth of 53 km (33 miles) with an epicenter some 15 km southwest of Coquimbo, according to the USGS. The earthquake, which hit at 0132 GMT (Sunday), was felt in Valparaiso, O'Higgins and the region of the capital Santiago, as well as in Atacama and Coquimbo up north. Thousands of homes lost power, There were no immediate reports of injuries or damage. 

19 Jan. 2019: Scientists exploring Antarctic lake buried under 3,500 feet of ice find 'surprising' signs of ancient life. They also used other instruments to test the water, eventually finding signs of ancient life: the perfectly preserved skeletal remains of tiny animals trapped under about a half-mile of ice, the journal Nature was first to report.
January 19, 2019, at 10:32 AM:  Believe it or not, you can pick up a fantastic espresso maker on Amazon for just over $50. The Mr. Coffee BVMC-ECM180 Steam Espresso Machine with Starter Set is Amazon’s best-selling espresso machine right now and it’s on sale for just under $52. It makes delicious cappuccinos, lattes, and more, and it even has built-in milk frothier.
19 Jan. 2019: April 2010: Dark Energy: The Biggest Mystery in the Universe. At the South Pole, astronomers try to unravel a force greater than gravity that will determine the fate of the cosmos. Far from light and plunged into months-long darkness, Antarctica's South Pole Telescope is one of the best places on Earth for observing the universe. 
20 Jan. 2019: 
    Fig.2  Cycle based one pitch Kari on the seat
                                    holds 16 liters sprayed when the cycle is moved 
21 Jan 2019: 1 hour ago: at 11:19AM: India is set to overtake the UK in 2019 in the rankings of the world’s largest economies. The India economy may witness a growth of 7.6% in 2019 whereas the UK economy will only see a growth of 1.6% if it deals with the no-deal Brexit, according to a prediction by PwC. India is going to move from the seventh position to the fifth position while the UK is going to slip in the list of global economic leaders, expected PwC. India is the fastest growing large economy in the world, with an enormous population, favorable demographics and high catch-up potential due to low initial GDP per head. It is therefore all but certain to continue to rise in the global GDP league table in the coming decades.
                  
                                              Fig.3 Snowy Boul'evard
                

           Fig.4 The Eclipse of the Moon: Termed the Super Blood Wolf Moon.

22 January 2019 12:43 PM: Kerala becomes first state in India to achieve total digital education. KITE is an offshoot of the state's Education Department which was set up to promote Information and Communications Technology training in government schools across Kerala.
Jan 22, 2019, 15:19 IS: Weather update: Rain, snow hit north India; jams reported in Delhi. Heavy rains and snowfall triggered by a western disturbance lashed several areas in north India, including Delhi, Himachal Pradesh, Jammu and Kashmir, and Uttarakhand, affecting road traffic. The national highway connecting Jammu and Srinagar was closed on Tuesday following landslides and snowfall and reports of an avalanche hitting the highway in the Jawahar Tunnel area. A team has been rushed to take stock. Traffic department officials said landslides have hit the strategic highway at some places in the Ramban district, including Digdol, Panthal, Nagarkot and Khoni Nallah. There has been fresh snowfall in the Bannihal sector.
January 22, 2019: India Develops Advanced Laser Pods to Boost Fighter Jet's Attack Skills. Laser designator pod (LDP) is the laser sensor-cum-targeting system used in aircraft and provides inputs in actual flight conditions. These are advanced airborne infrared targeting and navigation pods to improve both day and night attack capabilities in all weather conditions. It performs tasks like detection, recognition, identification, designation of surface targets, accurate delivery of guided bombs and accurate ranging", an official involved with the project told Sputnik on the condition of anonymity. Indian scientists,  who developed the system indigenously evaluated the performance of the LDP and found that the achieved average positioning accuracy in terms of azimuth and elevation computation for static and moving ground targets was +/- 2.3 meters.
January 22, 2019, 4:43 pm:


Fig.5 The mysterious ruins of Odisha.

 A Lost, Ancient Civilisation? Archaeologists Uncover Mysterious Ruins in Odisha. From the findings of the excavation, it can be concluded that the habitation was an urban settlement belonging to the Mauryan to Kushan period, which was about 2300 years back. The imperial coins with punch marks were issued during the Mauryan and Magadhan period. These remains, archaeologists say, may point towards an advanced civilization dating from the Mauryan and Kushan period, about 2300 years ago. Among the artifacts unearthed were pieces of jewelry like earrings and toe rings made of silver and copper, beads made of agate, beryl, carnelian, coral, garnet and Jasper, and colored glass bangles. Additionally, wheel-like iron equipment, arrowheads, pestles, and sling balls were also found.

January 23, 2019: New technology uses lasers to transmit audible messages to specific people. Researchers have demonstrated that a laser can transmit an audible message to a person without any type of receiver equipment. The ability to send highly targeted audio signals over the air could be used to communicate across noisy rooms or warn individuals of a dangerous situation such as an active shooter.
January 23 at 8:20 PM: CAPE CANAVERAL, Fla. — Astronomers managed to capture the moment of an impact during this week’s eclipsed moon. Spanish astrophysicist Jose Maria Madiedo of the University of Huelva said Wednesday it appears a rock from a comet slammed into the moon during the total lunar eclipse late Sunday and early Monday. The strike was seen by telescopes in Spain and elsewhere as a bright flash. Madiedo said it’s the first impact flash ever seen during a lunar eclipse, although such crater-forming impacts are common. The object hit at an estimated 10 miles (17 km) per second, and was 22 pounds (10 kg) and 12 inches (30 cm) across, according to Madiedo. Griffith Observatory in Los Angeles also recorded the impact during its live stream of the eclipse. A second flash was seen a minute after the first by some observers, said Anthony Cook, an astronomical observer at Griffith.

2019 2:15:04 PM IST: Agartala Thursday, India-Bangladesh to finalize new waterway: Tripura CM. He said that construction works to develop the 35 km waterway between Tripura's Gomati river and Meghna river in Bangladesh is slated to begin next month.
24 Jan 2019: 15:36: Manali, Dalhousie get more snow: Shimla: The picturesque tourist towns of Manali and Dalhousie experienced more snow on Thursday. There are chances of more rain and snow in Himachal Pradesh till Friday.
IAF An-32 plane to fly maiden on indigenous biofuel on Republic Day. In a landmark move, indigenously produced bio-fuel has been finally cleared for use by military aircraft by the airworthiness certification agency, a Defence Ministry release announced on Thursday

24 January 2019, 07:54 PM: Are California, Oklahoma and Alaska earthquakes and Blood Moon connected? Few people are connecting these events with Blood Moon and claiming that these earthquakes have occurred due to this astronomical event. The year’s first lunar eclipse which occurred on January 21 and on the same day the Super Blood Wold Moon also appeared in the night sky. Ahead of this Blood Moon, many people anticipated serious mayhem on the occurrence of the event. Consequently, on January 21, six earthquakes occurred in the US, where on earthquake was measured at a magnitude of 4.7. Four out of six earthquakes have hit Alaska, one hit Oklahoma and the remaining one in California. Now, few people are connecting these events with Blood Moon and claiming that these earthquakes have occurred due to this astronomical event. The magnitude of four earthquakes which hit Alaska on January is measured at 4.7, 3.0, 2.5 and 2.7 Richter scales. These earthquakes firstly took place on January 20 at 7:59 pm and 11:33 pm and January 21 at 4:59 am and 8:33 am. The quake which hit Oklahoma was measured at a Richter scale of 3.6, somewhere around southeast of Helena while California’s earthquake was measured at 3.3 Richter scale, somewhere around 5 km of east-southeast of Chester. The super blood wolf moon is a lunar eclipse that will last 62 minutes in totality. The term ‘Super Wolf Blood Moon’ refers to Total Lunar Eclipse during which the takes on a reddish glow from refracted light as the heavenly bodies move into position - hence the name "blood moon". The more particulate or pollution in the atmosphere, the redder the moon appears. It can also appear black, grey, or brown. According to NASA, the color depends on the amount of dust and clouds in the atmosphere. A wolf moon is a term given to the January full moon each year. The name was traditionally used by Native Americans, according to the Independent.  
26 Jan 2019:

Fig.6 Sanskrit the Mother of about 98% Languages.
Jan 26, 2019, 18:51 PM IST: ITBP jawans celebrate Republic Day at 18,000 ft in freezing Ladakh.  In Leh, the national flag was unfurled by Chief Executive Councillor Jamyang Tsering Namgyal at polo ground. Republic Day in style by unfurling the tricolor at the height of 18,000 feet and at -30C in Ladakh.
26 January 2019 03:14 PM: 10 Weather extremities the Indian armed forces face for you.
Jan. 28, 2019, 5:18 PM ‎IST: Tornado hits Havana; Cuban president says 3 dead, 174 hurt. The Cuban capital was battered late Sunday and early Monday by powerful winds and heavy rains.
January 28, 2019, 3:40:54 AM EST: Polar vortex to bring prolonged, life-threatening cold outbreak to the midwestern US this week. The deep freeze continued across the Upper Midwest on Sunday with temperatures plummeting well below zero in the morning. The low of 45 below zero F in International Falls, Minnesota, shattered the day’s record of 36 below zero F from 1966.
January 28, 2019: Three luminous blue variable candidates found in the galaxy NGC 4736. Russian astronomers have identified three new luminous blue variables (LBV) candidates in the star-forming galaxy NGC 4736. While one of the three newly found candidates was confirmed to be an LBV, the nature of the remaining two remains uncertain. To date, only about 40 LBVs are known in our Milky Way galaxy and in the galaxies of the Local Group. Notably, searching for LBVs in the galaxy is difficult due to high extinction in the galactic plane and uncertain distance measurements. Images in HST/F555W: (a) NGC 4736 1, (b) NGC 4736 2, and (c) NGC 4736 3.
January 28, 2019: Rising sea levels could kill off 500-year-old trees in New Jersey forest.
28 Jan. 2019: Magnesium batteries: Dawn of the post-lithium era. Within the European Research Project E-MAGIC, KIT and Helmholtz Institute Ulm (HIU) Develop a Magnesium-based Energy Storage Technology together with Cooperation Partners.
Daintree River flooding: hundreds cut off after deluge breaks peak record. Ferry crossing in far-north Queensland closed after 500mm of rain in 24 hours pushed river to the highest level in 118 years. Almost 500mm of rain fell on the river in 24 hours, 300mm of that in just six hours. 
28 Jan. 2019: Andhra University, AS Prasanna Sree, being from a tribal community, capable of speaking various languages,  enters world Atlas of endangered alphabets USA 2019 of 18 Indian tribals languages, Her mission began in 1991 and her language written script, was accepted in 2009. Tribals have no writing skills, but they communicate well through words and songs.
28 Jan. 2019: Temperature in agency areas drops down with AP experiencing north-westerly winds and also western disturbances fromJ&K moving towards the east. Isolated rains in AP. 
28 January 2019, 09:34 AM: Where is the hottest place on Earth? At 50C, Australian towns top list as heatwave sizzles. Among the towns in South Australia state experiencing their hottest temperatures was tiny Tarcoola in the region's far north, which reached 49C.
Jan 29, 2019: Tornado wreaks havoc in Havana.

January 30, 2019: Home  Latest  Heavy Pollution Prompts Bangkok To Close School For A Week. 

January 30, 2019: A New Dawn of AI in 2019: Federated Learning. Recently, a new approach was considered for models trained from user interactions with mobile devices: it is called Federated Learning. Federated learning distributes the machine learning process over to the edge. It enables mobile phones to collaboratively learn a shared model using the training data on the device and keeping the data on the device. It decouples the need for doing machine learning with the need to store the data in the cloud. 
30 January 2019, 06:02 PM: Weather Forecast Jan 31: Rain, snow over Kashmir, Srinagar, Kedarnath, Manali.
January 30, 2019, 16:37 IST: Washington:  Warming oceans can increase the frequency of extreme rainstorms. The study team, led by Hartmut Aumann of NASA's Jet Propulsion Laboratory in California, found that extreme storms,  those producing at least 3mm of rain per hour over a 25-km area, formed when the sea surface temperature was higher than about 28C.  
January 30, 2019:1343 GMT (2143 HKT):  The scientist creating test-tube penguins
January 30, 2019: 


Fig.7 How curry came to America
 British settlers brought with them the popular cookbooks of the day (including those of Hannah Glass and Mrs. Beeton), which contained recipes for curry and curry powder. The first known American curry recipe was for apple curry soup in the manuscript of Catherine Moffatt Whipple (b 1734).
31 January 2019, 1:25 AM: Heavy rain, flooding causes 12 deaths in Saudi Arabia.
January 31, 2019: Thursday: Israel Aerospace Industries announces agreement worth $93 million with Indian Navy, Cochin Shipyard.
January 31, 2019, 09:21: 

Fig.8 Composition of 5,000 Galaxies released.
Data On Internal Structure, Composition Of Nearly 5,000 Galaxies Released, The observations were made during the first three years of a programme called Mapping Nearby Galaxies at Apache Point Observatory (MaNGA). According to experts, MaNGA uses a technique called resolved spectroscopy to study galaxies in much greater detail than previous surveys. Spectroscopy is a powerful tool for astronomers, yielding a wealth of information by measuring how much light an object emits at different wavelengths. In the past, astronomers typically acquired just one spectrum for each galaxy, but resolved spectroscopy (also called integral field spectroscopy) obtains hundreds of separate spectra covering every location within the galaxy.

 Fig.9 Italy ancient years ago constructs
to avoid tax and in winter quite cool now used as resorts.
Fig.10 America sizzling at -50C might reach -60C
in Minnesota and Dakota 




Acknowledgment
                         The author Professor Dr. K. Lakshmi Narayana is indebted to Late Prof. K. R. Rao D.Sc.(Madras) D.Sc.(London) for his guidance and inspiration to present these articles on my website. He is grateful to his mother Late Mrs. Peramma Rangadhama Rao for her sustained interest in my ventures. 

Wednesday, January 30, 2019

19 January, 2019: CYCLIC AND V4 KLEIN GROUP ANALYSIS TO DESCRIBE VARIED MASS TERMS Professor Dr. Kotcherlakota . L. N.

              trusciencetrutechnology@blogspot.com   Volume 2019, Issue No.B, 19 January 2019, Time:05:54:41 AM

                                     L1330: Life Member ISCA: Full Text Paper


14 Dr.Biresh Guha St. Kolkata-700017


The Indian Science Congress Association 106th


Mathematics & Statistics Session held in January 3-7, 2019.


======================================================
CYCLIC AND V4 KLEIN GROUP ANALYSIS TO DESCRIBE VARIED MASS TERMS
Professor Dr.  Kotcherlakota . L. N.
trusciencetrutechnology@blogspot.com
 17-11-10, Narasimha Ashram, Maharanipeta.P.O. Visakhapatnam-530002.AP.
Mobile No. 09491902867
Paper presented on 5 January 2019 at LPU, Mathematics session, ISC106.
ABSTRACT
                  The fourth order groups, the Cyclic, and the V4 Klein groups have been analyzed to obtain the mass-dependent Eigenvalues. The Cyclic group reveals both the real and imaginary Eigenvalues. The V4 Klein group, on the other hand, presents only real Eigenvalues. Both the positive and anti-positive mass terms are used adopting that the antiparticles have negative masses, like the electron-positron formulation. The different sets of mass values, adopting that the mass m2=-m1 positive masses and m4=-m3 for the anti-positive masses are adopted. The mass values m1 and m3 were varied from 0.1, 0.3, 0.4, 0.5, 0.6, 0.7, 0.9 and the respective Eigenvalues obtained. 

INTRODUCTION
               Two different sets of Klein and the ordinary 4th order-matrices were used to generate the distinct groups. The ordinary 4th order-matrices gave distinct roots suggesting the complex and real roots of considerable complexity. All the roots possible are enlisted and complex terms indicated. Unlike this, the Klein set gave plain straight forward roots and several sets of roots are listed. They are found to be real and no complex behavior evident. The calculations have thus brought out the distinctive features of the two different sets of Klein and ordinary 4th order-matrices which were presented in this paper.
                           The fourth order groups, the Cyclic, and the V4 Klein groups have been analyzed to obtain the mass-dependent Eigenvalues. The Cyclic group reveals both the real and imaginary Eigenvalues. The V4 Klein group, on the other hand, presents only real Eigenvalues. Both the positive and anti-positive mass terms are used adopting that the antiparticles have negative masses, like the electron-positron formulation. The different sets of mass values, adopting that the mass m2=-m1 positive masses and m4=-m3 for the anti-positive masses are adopted. The mass values m1 and m3 were varied from 0.1, 0.2, 0.4, 0.5, 0.6, 0.7, 0.9 and the respective Eigenvalues obtained.


Cyclic group

m1:=0.5;m3:=0.5;l4+6.3222534.l3-114.9917341.l2-160.437934.l+2862.351717;
x1:=3.8888;x2:=-2.3308;x3:=-2.779+i*0.295864;x4:= -2.779-i*0.295864;
m1:=0.4; m3:=0.6;l4+6.207556.l3-115.644.l2-151.1417089.l+2901.352736;
x1:=63.49464;x2:=52.294641; x3:=-60.996419+i*5.295;x4:= -60.996419-i*5.295;
m1:=0.2; m3:=0.8; l4+5.823121.l3-120.5275984.l2-123.7828232.l+3186447232;
x1:=4.01739;x2:=-2.08390;x3:=-2.965+i*0.7;x4:= -2.965-i*0.7;
m1:=0.8;m3:=0.2;l4+6.578668.l3-113.7629972.l2-183.2204372.l+2774.711933;
x1:=63.35153295;x2:=51.27793295; x3:=-60.60406705+i*4.2396;x4:= -60.60406705-i*4.2396;
m1:=0.6;m3:=0.4; l4+6.417112198.l3-114.4915552.l2-168.5062189.l+2830.142332;
x1:=3.8989;x2:=-4.3803; x3:=-1.7593+i*0.1942;x4:= -1.7593-i*0.1942;
m1:=0.7;m3:=0.3; l4-4.l3-3.85778.l2+1.271112.l-0.1060436733;
x1:=3.92885;x2:=-4.44195;x3:=-1.74343+i*0.148628;x4:= -1.74343-i*0.148628;


V4 or Klein Group

Klein set of Matrices: The Vierergruppe is the Abelian abstract group on four elements that is isomorphic to the finite group c2xc2 and the dihedral group D2. The masses m1, m2, m3, m4 are set, such that m2=-m1 and m4=-m3. Later m1=m3 was used to simplify the matrix for diagonalization.
A:=<<e-m1-l,a,b,c|a,e-m2-l,c,b|b,c,e-m3-l|c,b,a,e-m4-l>>;
Also a=e=1 was chosen setting b=1/2, c=1/3. 
The roots set as x1, x2, x3 and x4 for each set of m1 and m3 values.
m1:=0.5; m3:=0.5; l4-4.l3-3.77778.l2+1.1112.l-0.09875;
y3-4.88889.y2+7.97223.y-4.34028;
x1:=3.88884;x2:=-2.33076;x3:=-2.77904+i*0.29586;x4:= -2.77904-i*0.29586;
m1:=0.2; m3:=0.8;l4-4.l3-3.95778.l2+1.471112.l-0.11065
y3-4.97889.y2+8.332223.y-4.72338;
x1:=3.98289; x2:=-2.129898; x3:=-2.926496+I*0.7; x4:= -2.926496-I*0.7;
m1:=0.6;m3:=0.4; l4-4.l3-3.79778.l2+1.151112l-1.0087707;
y3-4.89889.y2+8.012223.y-4.382047;
x1:=3.8988; x2:=-3.37576; x3:=-2.26145+I*0.81478; x4:= -2.26145-I*0.81478;
m1:=0.7;m3:=0.3; l 4-4. l 3-3.85778. l 2+1.271112.l-0.1064367;
y3-4.92889.y2+8.132223.y-4.508547;
x1:=3.928891; x2:=-2.211821; x3:=-2.858535+I*0.5257028; x4:= -2.858535-I*0.5257028;
m1:=0.1;m3:=0.9;l4-4.l3-4.09778.l2+1.751112.l-0.10871;
y3-5.04889.y2+8.612223.y-5.03255;
x1:=4.0488902; x2:=-2.0316578; x3:=-3.0086162+I*0.882414; x4:= -3.0086162-I*0.882414;
REFERENCES
    2.  Cotton, F. A. Chemical Applications of Group Theory, 3rd ed. New York: Wiley, 1990.
CITE THIS AS Weisstein, Eric W. "Cyclic Group C_4." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CyclicGroupC4.html
Acknowledgment:
                       
The author is greatly indebted to Late Prof K. R. Rao D.Sc.(Madras), D.Sc.(London) for his guidance and encouragement, to publish newer thoughts in Science & Technology. I was with him at Andhra University, from 1959-1972, and learned from him, many research adventures. I am also grateful to Late Mrs. Peramma Rangadhama Rao for her support and interest in my works. Submitted on 23 July 2018.




 
Paper Presentation Certificate at LPU, Jalandhar
on 5th Jan. 2019 Cyclic And V4 Klein...Varied mass terms.


Abstract of my Paper in Maths Proc. 2019
Kotcherlakota L N and Page.86
Abstract details noted by Chairman at LPU Maths session
L. N.  Kotcherlakota 
Prof. Nandadulal Bairagi
Professor and Coordinator,
Centre for Mathematical Biology and Ecology,
Department of Mathematics, Jadavpur University,
Kolkata-700 032; Mobile : 09433110781 / 08240364057;

E-mail :
nbairagi@yahoo.co.in / nbairagi@math.jdvu.ac.in
He was very cordial with me and showed me the inclusion of my paper in the proceedings, but since haven't received the acceptance or inclusion of my paper in the ABSTRACTS. I presented it by the postal display. 

Fig.1a 
Fig.1b

Fig.1c
Fig.1d

Fig.2a
Fig.2b
Fig.3  Office room at LPU 41-1011 my accommodation
The staff at the Office were very cordial and both the ladies looked after me well. on 10 floors and staff at downstairs.
Fig.4a In the autorickshaw battery driven at
New Delhi seated S V Chalam on 9 Jan 2016.
S V Chalam photographs taken in Visakhapatnam.       
                                               
Fig.4b S V Chalam at Narasimha Ashram Puja Room
Fig.4c S V Chalam at Narasimha Ashram
in my office room.
Fig.4d S V Chalam at Narasimha Ashram
I was received by S V Chalam at New  Delhi Airport on 1 January 2019, and by his son's car took me to his house in Dwaraka Colony, where I met his wife and the house I found quite cozy. After the lunch, around 2:30PM he took me to the railway station, by a taxi, who deceived us and hardly 15 minutes time left to reach the other side of the railway station. I have to run on the long upstairs bridge to reach the train destination platform. I am amazed at the AMRITSAR SHATABDI. I left at the scheduled time and they were serving profusely on the train.
On return 8 Jan. 2019, At New Delhi station I was received by S V Chalam, around 11:30PM and took me to his house by around 12:15AM or so. Next morning I had IDLI breakfast, around 9AM.  Lunch I had around 2PM typical Visakhapatnam preparations. His wife hails from near Bhimadole village has mastered the preparations and she is a typical housewife. 
With S V Chalam on 9 Jan. 2019 I gave all the material of ISC106, to him. He said he would intimate his brother in the US, Dr. Pavanram who specifically asked for paper presentations made by me, both in Maths and Physics sessions. Around 2PM we had our lunch and left around 3PM to take the Metro train. He left me at the New Delhi station, after purchasing his platform ticket (that took nearly a half hour) and when I boarded the train GT express to Vijayawada, I told him, to go home as it was already 6PM.

Fig.5a  Dr.  S.  Juneja's son in the car to drop at
ISC106 Venue on 2 Jan 2019
Fig.5b Mrs. Juneja at their hospital in Jalandhar,
 on 2 Jan. 2019.
Fig.5c  With Mrs. Dr. Juneja opposite
their fabulous Hospital in Jalandhar on 2 Jan 2019.
Received around 9PM by Dr. S. Juneja and his son a Medical student at Amritsar, and took me to their house, in their car, three-storied amazing hospital premises, and I slept immediately, couldn't talk much. Morning, I was entertained with Wheat Upma, specially prepared by her loving wife, also a Doctor, and their son took me by car to the venue of the ISC106, by a roundabout route, in view of the police protection at the main gate. He didn't have his breakfast, and his mother called him to return home.                                                               
Fig.6 ISC106 office room with staff
and my room 41 1011 on the 10th floor. 
I have registered at the ISC106 Office and they gave me a splendid room on the 10th floor of a building with a magnificent view of the venue of ISC106. Office staff were quite cordial and very accommodative to see my stay at the 10 floors was quite comfortable.
One office boy gave me the room heater that kept me alert and comfortable and helped me to fetch an Ola taxi to go to the Jalandhar city station at a cost of Rs.350/- at 3pm on the 8 January 2019. 
Acknowledgment
                        The author Professor Dr. K. Lakshmi Narayana is indebted to Late Prof. K. R. Rao D.Sc.(Madras) D.Sc.(London) for his guidance and inspiration to present these articles on my website. He is grateful to his mother Late Mrs. Peramma Rangadhama Rao for her sustained interest in my ventures.