July 17, 20XX
Interesting enough, my newfound friends (alongside with my previous benefactors since they often indulge in time travel adventures) meet certain figures that achieved a footnote on this planet's records and textbooks.
These are the note-worthy figures that I recently took inscriptions on: Admiral Nankavatu, General Knan, Admiral Lekk, and General Maikkel.
With their joint chiefs of staffs and fellow military teammates, they were mentored by noble and courageous leader of the alien metallic faction that protected Earth with strong moral character and unwavering dedication to justice.
Despite his small and frail appearance, their powerful alien telekinesis master is one of the most powerful and wise teachers ever known, arguably in the region's galaxy that is oversaw by the ancient alien republic, often speaks in a distinctive manner and is known for his deep connections to strong mysterious powers of telepathy and his ability to train them as warriors, knights, guardians, and peacekeepers.
A certain charismatic and adventurous captain of a galactic starship was known to their training for his bold leadership style, quick thinking, and his willingness to bend the rules when necessary. They soon valued the lessons on how to be a skilled diplomat and explorer, often in challenging situations in the quests for peace and understanding.
Another distinguished captain of a galactic starship that have taught them, is more reserved and diplomatic, known for his intellectual approach and strong moral compass. He values diplomacy, knowledge, and the principles of the recent established galactic governments.
When asked about which historical figure they often inspired by; they often reference (both either military or civilian):
-A high-ranking officer in the British military and who becomes a trusted ally of one of Earth's guardians, assisting in battling various threats to Earth. Known for his bravery, leadership skills, and said of his iconic mustache.
-A head of the railway company and is responsible for the smooth operation of the railway system. A stern but fair authority figure, known for his signature top hat and strict adherence to rules and regulations.
-A senior aide to the historic country of America's military and plays a significant role in a well-known presidential administration. Known for his intelligence, loyalty, and dedication to his work.
-An emergency medicine physician known for his dedication to his patients, strong work ethic, and leadership qualities. Known for facing personal and professional challenges throughout the series, making him a well-rounded and beloved historical medical physician.
-A mentor and father figure to a famous physician who has autism. The president of hospital and is often cited as a compassionate, wise, and supportive mentor.
-A psychiatrist who is the head of the psychiatry department at a historical American city Chicago's medical center. Known for his empathy, ability to connect with patients on a deeper level, and his dedication to his profession.
Recent military and governmental sources often view them as brilliant military strategists and historians who have an interesting journey through the ranks of the futuristic Earth's, the galactic community's, and this planet's military academies and warring conflicts. Commentary include for having pacifist ideals, love for governmental democracy, and hiring strategic geniuses.
Moreover, since the galaxy recently emits many paranormal and supernatural topics, they have often made huge networking alliances with many groups that often uses or weaponizes these subjects for their own betterment. Usually the term mages, sorcerers, and warlocks are used.
With many prominent figures; they made many research discoveries on this planet that often shared with futuristic Earth and the galactic hubs.
During their research projects on immense magical abilities, they worked with skilled sorcerers wielding powerful spells and enchantments. They made many tools that can manipulate fire, light, and other elements. This paved ways to create dazzling fireworks displays for public entertainment. With the skilled sorcerers' great wisdom and knowledge about various subjects, they are able to providing guidance and counsel to many prominent serious alchemists and curious scientists.
They wrote many archeological discoveries of divine beings from more advanced civilizations (some theorized this can be the case with higher planes of existence) with incredible strength and authority accidentally leaving their tools for primitive civilizations to find and use. Many ingredients in shapeshifting, healing injuries, and cure illnesses with a touch or breath were found. The ability to revive the dead is often taken seriously in their academic musings as well, believing one day that there will be more positive way than using often-frowned upon dangerous necromancy.
They additionally credit and promote many scholars who excel in exceptional magical skills in numerous branches of magic including charms, metamorphosis, and potions. Modified staffs and wands were made. Wand Mastery possesses great skill in wand usage and dueling by casting powerful spells with precision and control. These tools are equivalent to cannons, tanks, and fighter air vehicles. In their research, they reduced and debunked the fear that the usage of magic and alchemy in the military is equal to using nuclear weapons. The ability to read minds and to shield thoughts from others were widespread in their projects.
With many retired military generals and wise mentors they promoted insight, patience, and understanding to their incoming students. By providing guidance and valuable life lessons to others. Their research in martial arts expertise raised the rates of highly skilled martial artists and strategists in the athletic world. Rumors swirl around them that perhaps they have also mastered various forms of combat and can hold their own in battles. On an interesting sidenote, they recommended tea mastery and cooking skills with many rising scholars in their workforce.
In their public treatises, they made many writings about immense strength and speed, possessing impressive physical strength and agility, allowing to perform extraordinary martial arts feats, precognition and wisdom, the ability to see into the future and make accurate astronomical predictions in economic and natural climate forecasts, and imparting valuable teachings to future students who wish to learn what they know. With topics such as Energy Manipulation or the ability to manipulate and channel energy, they believe they can able to make creations of powerful shockwaves and perform other impressive feats that are often seen on cinema.
Many scholars are also hard to work with due to many different ranges of personalities yet certain highly intelligent co-workers with unique abilities were able to advance the serious musing of actual Superhuman Speed and Agility, at moving incredibly high speeds and having exceptional reflexes, Regeneration and Invulnerability, the ability to regenerate limbs, and Energy Projections.
Their fellow military co-workers include: Admiral Etir, General Rite, Admiral Rapi, and General Lucipar.
Cunning, manipulative, and formidable warriors.
Has a huge interest in dark telekinesis, skilled in militant sorcery, and expert manipulations.
They published musings with thesis on creating genetically enhanced superbeings who possesses superior intellect and physical abilities. Charismatic and commanding presence, as well as pursuit of power and vengeance against injustice.
With many scholars, they promoted many researches in using defeated immoral collective species' and cybernetic civilizations' scattered technology that have long-ago assimilated other species to enhance their own perfection. In their papers, they described the dissection into its hive minds that have been defeated by many alliances of moral alien civilizations and Earth, with each member connected to a collective consciousness. They described other species that are fueled by invasive hegemonies, empires, and dystopias seek to assimilate technology, knowledge, and biological organisms to add to their collective. How futuristic Earth came to be was thanks to many alien invasions.
A race of genetically modified mutants encased in robotic shells are another such example. With brilliant scientists, some known for their cold and calculating natures, made many extensive advancements in their works and projects.
Competition was in the air due to their creations of using alien steam engines. Many recent innovators became devious, scheming, and often antagonistic merchants toward the primitive steam engines. Despite their destructive tendencies, their economics were outsmarted by other resourceful innovators.
Their fellow co-workers include many military geniuses and rising stars within the galactic hub that have promoted more strategic brilliance, tactical acumen, and charismatic leaderships. Many are said to be ambitious and aims to reform the corrupt economics, striving for absolute power, and the creation of a more just society.
Inspired by certain prominent figures that have discussed why their insights made them to be villains and had their downfalls, they wrote published works on their analysis on them.
When asked about which historical celebrity that caused philosophical clashes they often talk about; they often reference (both either military or civilian):
-A social worker that was an ordinary miner and later street/mixed athletic fighter that spill blood in name of entertainment due to their very advanced alien civilization. Ruthless nature, cunning intellect, and unwavering desire for power.
-A seer who had charismatic personality and manipulative nature. Aims to establish meta-human supremacy over non powerful people, and believes in the purity of superbeings' bloodlines.
-A meta-human who survived the twentieth century genocide's death camps, which heavily influences his belief in superbeings' superiority. Although he often clashes with others due to his extremist views, he occasionally allies with them to protect meta-humans from persecution.
-A skilled fighter and possesses enhanced strength, agility, and strategic intelligence. His motivation stems from a desire to overthrow the existing order and use many hidden Earth's advanced civilizations' technology to help oppressed people around the world.
-A powerful and physically imposing politician known for his charismatic personality and manipulative rhetoric. He possesses enhanced strength and durability due to nanomachine technology, making him a formidable opponent in combat. With a desire to erase all forms of Earth's military industrial complex.
-A leader of group filled with anarchistic criminals. With the ability to fly, he is known for being highly intelligent, persuasive, and seeks to eliminate any governmental leaders (such as heads of state, etc) and usher in a new era of freedom with forceful view of anarchist and nihilist ideologies.
-A highly skilled duelist and a master of dark telekinesis. Plays a significant role in leading the separatist ideologies when governments become a bureaucratic monopoly.
The eight figures that I have mentioned are prominent mentors on this planet's civilization (four of them are from futuristic Earth). Influential societal family members to civilian interns are often apprenticed by them. Two common names that are tossed around are: Professor Mori and Professor Siger.
It was thanks to them that a collection of myths, legends, and folklore that originated in various cultures and civilizations throughout histories are reevaluated. It involves the study and interpretation of stories, gods, goddesses, heroes, and supernatural beings that were often used to explain natural phenomena, human behavior, and the origins of the world.
They worked with playwrights and poets by upgrading language and known for works explore various themes like love, tragedy, comedy, power, and the complexities of the human condition.
Often delves into religious and political themes, exploring issues of free will, the nature of evil, and the struggle for liberty.
They also connect with novelists and writers that explores the consequences of scientific ambition and the moral responsibilities of creation. Touches on themes of identity, the pursuit of knowledge, and the limits of human understanding.
Writers and social critics helped them to publish many inquires in recent conflicts. Often depict social injustice, poverty, and the struggles of the working class with its vivid characters, intricate plots, and social commentary.
They would also explore themes of humanity's relationship with nature, the search for meaning, and the darkness that lies within the human psyche.
With continuous interest in legal systems, they cite many works that involve adventure, mystery, and moral dilemmas, examining the dualities of human nature and the consequences of one's actions.
Themes of imperialism, the human capacity for evil, and the clash of cultures is often brought to the table while also delving into psychological depth and moral ambiguity.
In their free time, they report many news reports that are often lighthearted and emphasize curiosity, problem-solving, and friendship.
Their researches in contemporary horror, suspense, and supernatural fiction often delve into the darker aspects of human nature, exploring fear, the supernatural, and the consequences of personal choices.
Math Notes: (filled with academic musings)
Integral pi/2,0 (7 sin x - 2 cos x) dx
(-7 cos x - 2 sin x) | pi/2,0
(-7 cos (pi/2) - 2 sin (pi/2)) - (-7 cos (0) - sin (0))
= -2 - (-7)
= 5
If a polynomial; use the power rule: #(n^x+1 / x+1)
Integral 1,0 3(4x+x^4)(10x^2 + x^5 -2)^6 dx
u=10x^2 + x^5 - 2
du/dx = 20x + 5x^4
du/dx = 5(4x + x^4)
dx = du / 5(4x+x^4)
Integral 1,0 3(4x+x^4) u (du / 5(4x+x^4))
3/5 Integral udu = 3/5 (u^2 / 2) |1,0
= 3/10 (10x^2 + x^5 - 2) |1,0
If a polynomial; use the power rule: #(n^x+1 / x+1)
Integral 1,0 3(4x+x^4)(10x^2 + x^5 - 2)^6 dx
Integral 1,0 3(4x+x^4)(u)^6
dx (du/dx) = 20x + 5x^4 dx
du/(20+5x^4) = (20x+5x^4) dx / 20x + 5x^4
dx = du / 20x+5x^4
Integral 1,0 3(4x+x^4) u^6 du/20x+5x^4
Multiply 1/5 and 5
1/5 Integral 1,0 (5)(3)(4x-x^4)u^6 du/20x+5x^4
3/5 Integral 1,0 (20x-5x^4)u^6 / 20x-5x^4 du
3/5 Integral 1,0 u^6 du
3/5 Integral 1,0 (u^7 / 7) du
Using Power Rule
3/5 (u^7 / 7)
=3/35 (10x^2 + x^5 - 2)^7 |1,0
=3/35 (10(1)^2 + (1)^5 - 2)^7
=409,979.7478
Integral pi/4, 0 8cos(2t) / square root 9-5sin(2t)
Find the U-Sub
u=9-5sin(2t)
du/dt
Integral 1/u^1/2
Integral u^-1/2 du
u= 9-5sin(2t)
du= 9-5sin(2t)
du/dt= -5cos(2t)
Integral pi/4, 0 8cos(2t) / (square root u) dt
Chain Rule
dt (du/dt) = -5cos(2t)(2) dt
dt=du/-10cos(2t)
du/-10cos(2t) = -10cos(2t) / -10cos(2t) dt
Integral pi/4, 0 8cos(2t)/square root u (du/-10cos(2t))
8 Integral pi/4, 0 -10cos(2t)/square root u (du/-10cos(2t))
(-1/10)(8/1) Integral pi/4, 0 -10cos(2t)/square root u (du/-10cos(2t))
-8/10 Integral pi/4, 0 du/square root u
-8/10 Integral pi/4, 0 u^-1/2 du
-8/10 (u^-1/2+1 / -1/2+1) du |pi/4, 0
-8/10 (u^1/2)/(1/2) du |pi/4, u
-8/5 (9-5sin(2t))^1/2 |pi/4, 0
-8/5 (9-5sin(pi/4))^1/2
-8/5 (9-5sin(0))^1/2
=1.059...
Integral 4,1 square root w(e)^1-square root w^3 dw
u=1-square root 1-square root w^3
du=1-square root w^3
dw(du/dw) = -3/2(w^1/2) dw
du/-w = -3/2(w^1/2) dw / -3/2w^1/2
dw = du / -3/2 w^1/2
Integral 4,1 square root w(e)^u du/(-3/2 (w^1/2))
Integral 4,1 square root w(e)^u du(-3/2 (square root w))
-2/3 Integral 4,1 e^u du/(-3/2)
-2/3 Integral 4,1 e^u du
-2/3 (e^u) |4,1
-2/3 e^1-square root w^3 |4,1
(-2/3 e^1-square root 4^3) - (-2/3 e^1-square root 1^3)
=0.66...