Michael Donawan's Graduation Thesis of the Holy Falcon Empire Wizarding Academy (7):

"Research on the Rating Method of Mana Origin Magic" - Michael Donawan.

Optimized the universal formula for evaluating the mana origin mana level after annealing:

In order to optimize the annealing equation, it is necessary to construct the optimization objective function. This function is the minimum value of the set of pairs containing a and b, and its value is equal to the reciprocal of k times n multiplied by the previous mana node minus the sum of k times the square of the path difference between the next mana node.

Here, since we only set 5 "fields", the maximum value of k is 5,; n corresponds to the number of evaluation elements in the "domain". Its maximum value is different in each "domain", corresponding to 3 mana perception, 13 mana monitoring, 2 mana links, 3 mana integration, 1 mana flow interaction, 4 multi-mana flow integration synergies, 3 mana flow valve adaptations, 3 mana flow node optimizations, 4 cast path controls, 5 high-availability cast route planning, and 4 mana origin fusions.

The objective function is essentially a nonlinear cost function, and the optimization process of the objective function is to find the minimum value of its function. The parameters a and b that affect its minimum are in the previous mana node. In order to achieve a certain cost-effectiveness ratio of the annealing calculation, the annealing strategy needs to be adjusted through parameter formulation.

Let's let a and b be numbers within the range of 0 to 20, when the initial temperature is 10,000 degrees and the termination temperature is 0.0001 degrees, take the annealing coefficient of 0.9, and the perturbation law is a random value from 0.1 to 0.9 minus 0.428 and multiply by 0.23, after 1000 iterations, the target value is less than 0.02. It was determined that A was equal to 6.622579 and B was equal to 3.504464.

At this point, the model of the mana origin magic level evaluation method has been constructed.

Mana Origin Magic Level Assessment Circle:

For casters with different systems, different origins, and different directions, if you want to ignore its impact on scoring, you must first set up different scenario tests.

For the vast truth of Aisha's world, it is impossible to exhaust all possibilities, so the test scenarios we build need to be set up according to a few common and most significant characteristics - both universal and distinctive. For example, if we come to a wizard and can test accurately, but when we come to a mage, we can't test accurately, which is non-universal. Spells that are good at red mana can be tested, while spells that mix several mana have a large error, which is non-traitive.

When considering test scenarios, we need to consider, such as harsh environments, full load, stress tests, etc. For different evaluation elements, the form and number of scenario tests are also different. After obtaining the data obtained by all the evaluation elements in the test of all scenarios, the data is entered into the mana origin magic level evaluation circle, which only requires changing the mana flow of the circle, not even the spell. If you just want to test the mana origin of mana on a candidate caster, you don't need this step at all, and the circle will actively judge and show their talent.

The main purpose of the circle is to say that the data entered is stored in a set of mana flows, which of course automatically collects the caster in the circle. After that, the circle will automatically run the process of annealing the equation, using the time node to primitiveize the random seed, preventing the results from being the same for each run.

The calculation process first generates the initial node, and saves the two Changshu and the initial node that need to be optimized. Then, according to the perturbation law, a random perturbation is added to the initial node and a new node is generated. Determine whether the new node is accepted or not according to the acceptance criteria. If the acceptance criteria are not accepted, the annealing will fail and the re-perturbation will be carried out. When the temperature is cooled to determine the optimal node and decision, the values of the two constants in the equation of the optimal result are the constant values that need to be determined.

We don't need to worry about the accuracy of the circle because it uses multisampling. This multisampling is achieved by storing the values or variables that need to be multisampled and computed in the mana channel between circle nodes as a set of mana flows. With each iteration of the process, the mana flow of these fellow people constantly goes through the law of refreshing, replacing, saving, and refresh between the upper and lower layers, always ensuring that the outermost result must be the latest and best under the current number of iterations.

-----------------------------------------------------------------------------------------------------------------------------------------------

"They're coming!" Babud said.

Elpala nodded and shouted, "Soldiers of the Logging Fortress! The enemy is right in sight! If we fall here, our fields, our shops, our wives, our children, will be looted and humiliated by the Tangnis mongrel. So make up the hills! For your families, for your land! Draw your sword! Wolf Hunting! Wolf！ We hunt！ ”

"Roar! Roar! Roar! "All the Zamir soldiers were agitated.

"Archers! Listen to me! 30 degree rise angle, projectile! Givell drew his sword, stood on one foot at the head of the city, and commanded all the archers. For a time, arrows rained down. These deadly arrows were fired into the army of Tanganis from three different angles and two heights.

This type of shooting is related to the height of the logging fortress and the angle at which the arrow tower was built. Since the walls of the Timberfortress are not very tall, when the Timberkehold's turret is damaged, the new turret will be made taller. Through a spiral stone staircase, each turret not only provides a stack at the top of the minaret for eight people to shoot at once, but also a small hanging platform in the middle to provide one person to rest and eat, and if necessary, to increase the number of shots for one person from the square window of the hanging platform.

After the enemy attacked the city walls, the melee troops could resist for more than thirty minutes by retreating into the overhangs of the arrow towers. By turning the bed in the tower sideways, two soldiers or guards armed with swords can hold the spiral staircase up the tower, and the archers on top of the tower can continue to provide fire suppression.

On the other hand, the high-low staggered design makes the trajectory of the salvo staggered in time and at different angles. There will be unexpected effects when facing enemy hoplites. This way, you can't just rely on holding your shield diagonally above or directly above it to gain resistance to all arrows.

However, this alone is not enough to effectively kill and injure enemy troops, and stones are usually prepared on the walls. The stones thrown by the throwing lock fall from a height of more than ten meters, often smashing the heaviest armor into a dented pit, and with the fire of the archers, the enemy often pays a price to get close to the city wall.

For a moment, the Tangnis army was visibly overturned. However, although a wave of arrows killed and injured dozens of Tangnis soldiers, their number was too much, and dozens of them were directly trampled forward by the soldiers who caught up behind, and after a while, they were drowned in the torrent of people.

"The first wave, loading ammunition. The second wave comes forward, 45 degrees of rise, projectile! Geville ordered again. Dozens more soldiers fell, and the enemy had already advanced dozens of meters to the city walls.

"The second wave, loading ammunition. The first wave comes forward, with a 55-degree angle of rise, and is thrown! Giver shouted wave after wave, and after 8 shots, the enemy had advanced to a very close distance from the walls. In order to shorten this distance, hundreds of the soldiers of Tangernes have lost their lives on the land forever. However, their trebuchets were not vegetarian either, and the walls of the logging fortress were completely interrupted by waves of echelon trebuchet shots, and the firing battlements on the western part of the city walls had been completely interrupted. The boulder lay in the middle of the passage of the city wall, and the corpses of 6 or 7 Zamir soldiers were pressed underneath. The watchtower to the left of the gate had been completely broken, and the top of the watchtower had fallen off the wall and into the field outside the city. Most of the archers in the watchtower were thrown to death, and one unlucky man was crushed into a pool of flesh and blood by the boulder, and the rest of the lucky ones who were still alive were also slashed by the Tagnis soldiers who rushed up.

"The enemy's siege ladder has been erected! Defend the walls! Defend the walls! Elpara shouted with a sword to kill a soldier trying to climb the wall. The corpse of the slain soldier fell backwards and fell directly down the wall, and by the way, he also hit an enemy who was climbing a ladder, and the unfortunate man's body was unbalanced, and he fell down with the corpse, his skull shattered, and his neck was broken.

But then, a huge stone slammed down and embedded itself in the battlements. The edge of the battlements cracked, and a piece of rubble struck Elpala's helmet, bleeding from the head. She had no choice but to hold her head with one hand and stab the other at several soldiers of the Guillotine Legion, barely keeping her balance.

"Lady Claire! Hold on! Babud picked up his great axe and decapitated one of his enemies with a single slash, sending his head flying into the air and falling off the wall, blood spurting from his neck and his body falling to the ground. Seeing that the blood stains on his blood-red cloak had turned black and purple, he strode past a fallen Zanmir soldier and came to Al Pala's side, and with an axe, he split in half the helmet and body of a soldier of the Executioners Regiment who was trying to attack El Para from behind. The axe was so powerful that several Tangnis soldiers didn't dare to step forward. But soon they were in the middle of the fight with the other soldiers, and they couldn't stand still and be afraid.

Babud tried to pull the axe out of the Tangnis soldier's body, but after one or two attempts, he knew that the blow was too hard and the blade must have caught in the bone. So he stomped his boot on the enemy's sternum, held his breath before pulling out his axe, and took two steps back.

"It's all right! Ms. Claire? You're hurt! Babud said.

"I, I'm fine, barely able to fight." Elpara's will was tenacious, but there was a clear weakness in her voice.