Resilience - Revision history

167.224.143.136: /* Generating Resilience and Formulas */

2022-11-14T02:21:23Z

Generating Resilience and Formulas

← Older revision		Revision as of 02:21, 14 November 2022
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	== Generating Resilience and Formulas ==		== Generating Resilience and Formulas ==

	Resilience is generated when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from~~. The amount of resilience gained depends on what you are targeted by~~. Spy resilience is generated at 10 resilience per successful op. Wizard resilience is generated at 10 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. ~~Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor~~ do ~~you~~ gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain ~~resilience. Having your non-existent boats sabotaged gains no Spy~~ resilience.		Resilience is generated when you are successfully targeted by certain Black Ops. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. Spy resilience is generated at 10 resilience per successful Magic Snare. Wizard resilience is generated at 10 resilience per successful Fireball. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. You do not gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience.

	Spy resilience increases the recovery of wizard strength by		Spy resilience increases the recovery of wizard strength by
	SpyResilience / ~~250~~		SpyResilience / 100

	Wizard resilience increases the maximum peasant growth percentage to		Wizard resilience increases the maximum peasant growth percentage (modified by 1/10th of your population growth bonus) to
	(WizardResilience / 250)%		(WizardResilience / 250)%

	[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]		[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk (sinking no longer generates resilience).]]

	== References ==		== References ==

Jomutta: r31 changes

2022-09-05T19:37:49Z

r31 changes

@@ Line 1: / Line 1: @@
-'''Resilience''' is a defensive stat that is generated when you are targeted by [[Ops#Black_Ops|Black Ops]] during a war. It decreases the amount of damage taken from those Black Ops.
+'''Resilience''' is a defensive stat that is generated when you are targeted by [[Ops#Black_Ops|Black Ops]] during a war.
 == Generating Resilience and Formulas ==
@@ Line 13: / Line 17: @@
 [[File:Resilience Round 22 Status Screen.png|thumb|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]
-== Resilience Values and Damage Reduction ==
+== References ==
 == See Also ==

Jomutta: /* Generating Resilience and Formula */ resilience gain and formulas

2022-09-05T19:34:54Z

Generating Resilience and Formula: resilience gain and formulas

← Older revision		Revision as of 19:34, 5 September 2022
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	'''Resilience''' is a defensive stat that is generated when you are targeted by [[Ops#Black_Ops\|Black Ops]] during a war. It decreases the amount of damage taken from those Black Ops.		'''Resilience''' is a defensive stat that is generated when you are targeted by [[Ops#Black_Ops\|Black Ops]] during a war. It decreases the amount of damage taken from those Black Ops.

	== Generating Resilience and ~~Formula~~ ==		== Generating Resilience and Formulas ==

	Resilience is generated when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 10 resilience per successful op. Wizard resilience is generated at 12 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.		Resilience is generated when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 10 resilience per successful op. Wizard resilience is generated at 10 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.

	~~The amount of~~ resilience ~~is then put into a formula to determine~~ the ~~exact damage reduction. The formula is as follows: <code>0.5 * (1 + erf(0.0019 * (RESILIENCE_VALUE - 700)))</code><sup>1<~~/sup>, and 0 resilience means no damage reduction. Resilience itself is capped at 1000, leading to a maximum reduction of 78.99%. The damage decrease is not linear with the amount of resilience. The first ops will see a barely noticeable decrease, but as resilience increases, the ~~decrease becomes larger and larger. This allows the affected Dominion~~ to ~~start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.~~		Spy resilience increases the recovery of wizard strength by
			SpyResilience / 250

			Wizard resilience increases the maximum peasant growth percentage to
			(WizardResilience / 250)%

	[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]		[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]

167.224.143.136: /* Resilience Values and Damage Reduction */

2022-07-07T21:15:13Z

Resilience Values and Damage Reduction

← Older revision		Revision as of 21:15, 7 July 2022
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	\|-		\|-
	\| 100		\| 100
	\| 1.61%		\| 5.34%
	\|-		\|-
	\| 200		\| 200
	\| 3.42%		\| 8.95%
	\|-		\|-
	\| 300		\| 300
	\| 6.65%		\| 14.12%
	\|-		\|-
	\| 400		\| 400
	\| 11.85%		\| 21.00%
	\|-		\|-
	\| 500		\| 500
	\| 19.41%		\| 29.54%
	\|-		\|-
	\| 600		\| 600
	\| 29.34%		\| 39.40%
	\|-		\|-
	\| 700		\| 700
	\| 41.15%		\| 50.00%
	\|-		\|-
	\| 800		\| 800
	\| 53.82%		\| 60.59%
	\|-		\|-
	\| 900		\| 900
	\| 66.11%		\| 70.45%
	\|-		\|-
	\| 1000		\| 1000
	\| 76.89%		\| 78.99%
	\|}		\|}

	This value is multiplicative with other decreases, such as the Towers [[Improvements\|Improvement]].		This value is multiplicative with other decreases, such as the Towers [[Improvements\|Improvement]].

	== Damage Reduction example ==		== Damage Reduction example ==

167.224.143.136: /* Generating Resilience and Formula */

2022-07-07T21:12:51Z

Generating Resilience and Formula

← Older revision		Revision as of 21:12, 7 July 2022
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	== Generating Resilience and Formula ==		== Generating Resilience and Formula ==

	Resilience is generated when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 8 resilience per successful op. Wizard resilience is generated at 11 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.		Resilience is generated when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 10 resilience per successful op. Wizard resilience is generated at 12 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.

	The amount of resilience is then put into a formula to determine the exact damage reduction. The formula is as follows: <code>0.5 * (1 + erf(0.~~00226~~ * (RESILIENCE_VALUE - ~~770~~)))</code><sup>1</sup>, and 0 resilience means no damage reduction. Resilience itself is capped at 1000, leading to a maximum reduction of 76.89%. The damage decrease is not linear with the amount of resilience. The first ops will see a barely noticeable decrease, but as resilience increases, the decrease becomes larger and larger. This allows the affected Dominion to start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.		The amount of resilience is then put into a formula to determine the exact damage reduction. The formula is as follows: <code>0.5 * (1 + erf(0.0019 * (RESILIENCE_VALUE - 700)))</code><sup>1</sup>, and 0 resilience means no damage reduction. Resilience itself is capped at 1000, leading to a maximum reduction of 78.99%. The damage decrease is not linear with the amount of resilience. The first ops will see a barely noticeable decrease, but as resilience increases, the decrease becomes larger and larger. This allows the affected Dominion to start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.

	[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]		[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]

Jomutta: updated sabotage boat %

2021-05-25T02:23:33Z

updated sabotage boat %

← Older revision		Revision as of 02:23, 25 May 2021
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	== Damage Reduction example ==		== Damage Reduction example ==

	The following table shows the effect of resilience in a very simple set-up. All ops in this example are done in a single hour, and the Sabotage Boats op is used. This normally sinks 2.25% of all boats that are not protected by Docks or the Harbour improvement, and because it's a Spy Black Op, every success adds 8 resilience. The third column shows what damage would have been done without resilience, whereas the fourth column shows the damage done with resilience damage reduction applied.		The following table shows the effect of resilience in a very simple set-up. All ops in this example are done in a single hour, and the Sabotage Boats op is used. This normally sinks 2.4% of all boats that are not protected by Docks or the Harbour improvement, and because it's a Spy Black Op, every success adds 8 resilience. The third column shows what damage would have been done without resilience, whereas the fourth column shows the damage done with resilience damage reduction applied.

	{\| class="wikitable"		{\| class="wikitable"

Oment: Clarification that it is UNprotected boats.

2021-04-13T14:07:15Z

Clarification that it is UNprotected boats.

← Older revision		Revision as of 14:07, 13 April 2021
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	! Amount of successful ops		! Amount of successful ops
	! Resilience		! Resilience
	! ~~Boats~~ left w/o resilience		! Unprotected boats left w/o resilience
	! ~~Boats~~ left w/ resilience		! Unprotected boats left w/ resilience
	\|-		\|-
	\| 0		\| 0

Oment: Rephrases.

2021-04-12T23:39:21Z

Rephrases.

← Older revision		Revision as of 23:39, 12 April 2021
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	== Generating Resilience and Formula ==		== Generating Resilience and Formula ==

	Resilience is generated ~~only~~ when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 8 resilience per successful op. Wizard resilience is generated at 11 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.		Resilience is generated when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 8 resilience per successful op. Wizard resilience is generated at 11 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.

	~~This~~ resilience ~~value~~ is then put into a formula to determine the exact damage reduction ~~acquired~~. The formula is as follows: <code>0.5 * (1 + erf(0.00226 * (RESILIENCE_VALUE - 770)))</code><sup>1</sup>~~. Additionally~~, at 0 resilience~~, there is never any~~ damage reduction. Resilience itself is capped at 1000, leading to a 76.89% ~~damage reduction in total~~. ~~However, the~~ damage decrease is not linear~~, and~~ the first ops will see a barely noticeable decrease~~. If the barrage is kept up~~, ~~however~~, ~~then resilience starts decreasing more~~ and ~~more of the damage dealt~~. This allows the affected Dominion to start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.		The amount of resilience is then put into a formula to determine the exact damage reduction. The formula is as follows: <code>0.5 * (1 + erf(0.00226 * (RESILIENCE_VALUE - 770)))</code><sup>1</sup>, and 0 resilience means no damage reduction. Resilience itself is capped at 1000, leading to a maximum reduction of 76.89%. The damage decrease is not linear with the amount of resilience. The first ops will see a barely noticeable decrease, but as resilience increases, the decrease becomes larger and larger. This allows the affected Dominion to start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.

	[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]		[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]
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	== Damage Reduction example ==		== Damage Reduction example ==

	The following table shows the effect of resilience~~. It is~~ a very simple set-up~~: if all~~ ops are done in a single hour, ~~what damage would be taken without resilience~~ and ~~with resilience? For this example,~~ the Sabotage Boats op ~~will be~~ used~~: this~~ normally sinks 2.25% of all boats that are not protected by Docks or the Harbour improvement. The third column shows what damage would have been done without resilience, whereas the fourth column shows the damage done with resilience ~~in play~~.		The following table shows the effect of resilience in a very simple set-up. All ops in this example are done in a single hour, and the Sabotage Boats op is used. This normally sinks 2.25% of all boats that are not protected by Docks or the Harbour improvement, and because it's a Spy Black Op, every success adds 8 resilience. The third column shows what damage would have been done without resilience, whereas the fourth column shows the damage done with resilience damage reduction applied.

	{\| class="wikitable"		{\| class="wikitable"
	! Amount of ops ~~done~~		! Amount of successful ops
	! Resilience		! Resilience
	! Boats left w/o resilience		! Boats left w/o resilience
Line 93:		Line 93:
	\|}		\|}

	~~As you can see, the~~ relative reduction of resilience only starts being a noticeable factor after the target has ~~received~~ a bunch of ops already. Resilience will not, and is not meant to, allow someone to run bad ratios and get away with it. It does, however, allow for faster recovery if the attacking realm tries to drive someone into the ground.		The relative reduction of resilience only starts being a noticeable factor after the target has been hit by a bunch of ops already. Resilience will not, and is not meant to, allow someone to run bad ratios and get away with it. It does, however, allow for faster recovery if the attacking realm tries to drive someone into the ground.

	== References ==		== References ==

Oment at 22:04, 12 April 2021

2021-04-12T22:04:28Z

← Older revision		Revision as of 22:04, 12 April 2021
Line 5:		Line 5:
	Resilience is generated only when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 8 resilience per successful op. Wizard resilience is generated at 11 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.		Resilience is generated only when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 8 resilience per successful op. Wizard resilience is generated at 11 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.

	This resilience value is then put into a formula to determine the exact damage reduction acquired. The formula is as follows: <code>0.5 * (1 + erf(0.00226 * (RESILIENCE_VALUE - 770)))</code>. Additionally, at 0 resilience, there is never any damage reduction. Resilience itself is capped at 1000, leading to a 76.89% damage reduction in total. However, the damage decrease is not linear, and the first ops will see a barely noticeable decrease. If the barrage is kept up, however, then resilience starts decreasing more and more of the damage dealt. This allows the affected Dominion to start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.		This resilience value is then put into a formula to determine the exact damage reduction acquired. The formula is as follows: <code>0.5 * (1 + erf(0.00226 * (RESILIENCE_VALUE - 770)))</code><sup>1</sup>. Additionally, at 0 resilience, there is never any damage reduction. Resilience itself is capped at 1000, leading to a 76.89% damage reduction in total. However, the damage decrease is not linear, and the first ops will see a barely noticeable decrease. If the barrage is kept up, however, then resilience starts decreasing more and more of the damage dealt. This allows the affected Dominion to start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.

	[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]		[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]
Line 94:		Line 94:

	As you can see, the relative reduction of resilience only starts being a noticeable factor after the target has received a bunch of ops already. Resilience will not, and is not meant to, allow someone to run bad ratios and get away with it. It does, however, allow for faster recovery if the attacking realm tries to drive someone into the ground.		As you can see, the relative reduction of resilience only starts being a noticeable factor after the target has received a bunch of ops already. Resilience will not, and is not meant to, allow someone to run bad ratios and get away with it. It does, however, allow for faster recovery if the attacking realm tries to drive someone into the ground.

			== References ==
			<sup>1</sup> Erf is the [https://en.wikipedia.org/wiki/Error_function Gauss Error function.]

	== See Also ==		== See Also ==

Oment at 21:38, 12 April 2021

2021-04-12T21:38:26Z

← Older revision		Revision as of 21:38, 12 April 2021
Line 5:		Line 5:
	Resilience is generated only when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 8 resilience per successful op. Wizard resilience is generated at 11 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.		Resilience is generated only when you are successfully targeted by a Black Op. There are two kinds of Resilience: Spy and Wizard, each corresponding to the type of op that you took damage from. The amount of resilience gained depends on what you are targeted by. Spy resilience is generated at 8 resilience per successful op. Wizard resilience is generated at 11 resilience per successful op. These numbers are not modified by anything in the game, and always decay at the same rate: 8 resilience per tick elapsed. Additionally, if the op failed, i.e. the spies were caught or the spell was repelled, then no resilience is gained, nor do you gain any when you use Energy Mirror to reflect a spell back to sender. You also need to receive actual damage in order to gain resilience. Having your non-existent boats sabotaged gains no Spy resilience.

	This resilience value is then put into a formula to determine the exact damage reduction acquired. The formula is as follows: <code>0.5 * (1 + erf(0.00226 * (RESILIENCE_VALUE - 770)))</code>. Additionally, at 0 resilience, there is never any damage reduction. Resilience itself is capped at 1000, leading to a 76.89% damage reduction in total. However, the damage decrease is not linear, and the first ops will see a barely noticeable decrease. If the barrage is kept up, however, then resilience starts decreasing more and more of the damage dealt. This allows the affected Dominion to start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.		This resilience value is then put into a formula to determine the exact damage reduction acquired. The formula is as follows: <code>0.5 * (1 + erf(0.00226 * (RESILIENCE_VALUE - 770)))</code>. Additionally, at 0 resilience, there is never any damage reduction. Resilience itself is capped at 1000, leading to a 76.89% damage reduction in total. However, the damage decrease is not linear, and the first ops will see a barely noticeable decrease. If the barrage is kept up, however, then resilience starts decreasing more and more of the damage dealt. This allows the affected Dominion to start climbing out of the hole they have been thrown in and disincentivises other realms from dogpiling onto the target with the same type of Black Op.

			[[File:Resilience Round 22 Status Screen.png\|thumb\|Note the Spy Resilience on this Dark Elf - they have been partially sunk.]]

	== Resilience Values and Damage Reduction ==		== Resilience Values and Damage Reduction ==