Website – Looking for a tool to create interactive maps for games

The basic idea is to have a web application that I can host and that uses my zoomable image for backgrounds and symbols that I can set anywhere and switch between visible and invisible. A nice bonus function would be the option to at least save the status in cookies, but a simple card is also sufficient.

Here are some examples that better illustrate what I'm thinking (warning, possibly a lot of RAM):

These cards have different features, but I'm not looking for exactly that. I was just hoping that there would be some kind of tool that I could use to create at least a simple one that would be great.

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Navigation – How are symbols for service locations displayed on maps?

I'm working on displaying symbols on maps. There are three types of symbols:

Pick-up point (s): The location to which the vehicle should be navigated

Point of Service: The place where the service is carried out

Point address (es): The position of the addresses

Here is the current solution that I am proposing, but is not sure if this makes sense, and would you like some guidance on whether these symbols communicate well there?

Enter the image description here

algebraic geometry – does the eternity of the composite mean the eternity of each piece for finite, flat surjective maps $ X rightarrow Y rightarrow Z $ regular schemes?

To let $ f: X rightarrow Y $ and $ g: Y rightarrow Z $ finite flat surjective morphisms of regular schemes.

Accept $ g circ f: X rightarrow Z $ is etale. Got to $ f $ and $ g $ both be forever?

I think the answer is yes. The purity of the branch location makes this a problem in expanding full discrete rating rings, but then the branch indices are multiplicative so that every branch that occurs in $ f $ or $ g $ should be visible in $ g circ f $,

I just want to make sure I don't make a subtle mistake.

cv.complex variables – are antilinear maps like conjugations in other almost complex structures linear?

I asked this on mse, but I didn't get any answers even after a bounty.

I started studying Daniel Huybrechts' book, Complex Geometry and Introduction. I tried to learn as much backwards as possible, but I limited myself to the concepts of almost complex structures and complexizations. I have studied several books and articles on the subject, including those by Keith Conrad, Jordan Bell, Gregory W. Moore, Steven Roman, Suetin, Kostrikin and Mainin, Gauthier

I have several questions about the concepts of almost complex structures and complexizations. Here are some:

Assumptions and notations: To let $ V $ be a $ mathbb C $Vector space. To let $ V _ { mathbb R} $ be the realization of $ V $, For almost any complex structure $ I $ on $ V _ { mathbb R} $denote by $ (V _ { mathbb R}, I) $ than the unique $ mathbb C $-Vector space, the complex structure of which is given $ (a + bi) cdot v: = av + bI (v) $, To let $ i ^ { sharp}: V _ { mathbb R} to V _ { mathbb R} $ indicate the unique almost complex structure $ V _ { mathbb R} $ so that $ (V _ { mathbb R}, i ^ { sharp}) = V $, $ i ^ { sharp} $ is given by $ i ^ { sharp} (v): = iv $, To let $ has i: V _ { mathbb R} ^ 2 to V _ { mathbb R} ^ 2 $. $ has i (v, w): = i ^ { sharp} oplus i ^ { sharp} $

  • To let $ W $ Bean $ mathbb R $Vector space. To let $ W ^ { mathbb C} $ denote the complexification of $ W $ given by $ W ^ { mathbb C}: = (W ^ 2, J) $, Where $ J $ is based on the canonical almost complex structure $ W ^ 2 $ given by $ J (v, w): = (- w, v) $, To let $ chi: W ^ 2 to W ^ 2 $. $ chi (v, w): = (v, -w) $

  • For every card $ f: V _ { mathbb R} to V _ { mathbb R} $ and for every almost complex structure $ I $ on $ V _ { mathbb R} $denote by $ f ^ I $ as the unique card $ f ^ I: (V _ { mathbb R}, I) to (V _ { mathbb R}, I) $ so that $ (f ^ I) _ { mathbb R} = f $, With this notation the conditions & # 39;$ f $ is $ mathbb C $-linear in terms of $ I $& # 39; and & # 39;$ f $ is $ mathbb C $anti-linear with respect to $ I $"are reduced to"$ f ^ I $ is $ mathbb C $-linear & # 39; and & # 39;$ f ^ I $ is $ mathbb C $-anti-linear & # 39 ;.

  • The complexification under $ J $of each $ g in End _ { mathbb R} W $ is $ g ^ { mathbb C}: = (g oplus g) ^ J $i.e. the unique $ mathbb C $– linear map on $ W ^ { mathbb C} $ so that $ (g ^ { mathbb C}) _ { mathbb R} = g oplus g $

  • To let $ sigma: V _ { mathbb R} ^ 2 to V _ { mathbb R} ^ 2 $. $ gamma: W ^ 2 to W ^ 2 $ and $ eta: V _ { mathbb R} to V _ { mathbb R} $ Cards be such that $ sigma ^ J $. $ gamma ^ J $ and $ eta ^ {i ^ { sharp}} $ are conjugations. (The $ J $& # 39; s are of course different, but they have the same formula.)

ask::

  1. To the $ sigma $Is there an almost complex structure? $ I $ on $ V _ { mathbb R} ^ 2 $ so that $ sigma ^ I $ is $ mathbb C $-linear and why / why not?

  2. If yes to question 1 then $ I $ Necessary $ I = k oplus h $ for some almost complex structures $ k $ and $ h $?

  3. To the $ gamma $Is there an almost complex structure? $ K $ on $ W ^ 2 $ so that $ gamma ^ K $ is $ mathbb C $-linear and why / why not?

    • Note: I think the answer to question 3 is no if the answer to question 1 is no. However, I think that question 3 will be answered positively and with an explanation if the answer to question 1 is yes and the answer to question 2 is no.
  4. To the $ eta $Is there an almost complex structure? $ H $ on $ V _ { mathbb R} $ so that $ gamma ^ K $ is $ mathbb C $-linear and why / why not?

    • Note: I think the answer to question 4 is no if the answer to question 3 is no.

Observations that led to the above questions::

  1. $ chi ^ J $ is a conjugation, on $ (V _ { mathbb R}) ^ { mathbb C} $, called the standard conjugation $ (V _ { mathbb R}) ^ { mathbb C} $,

  2. $ has $ is an almost complex structure $ V _ { mathbb R} ^ 2 $,

  3. While $ chi ^ J $ and $ chi ^ {- J} $ are $ mathbb C $-anti-linear, we have $ chi ^ { has i} $ is $ mathbb C $-linear.

  4. $ k $ and $ h $ are based on almost complex structures $ V _ { mathbb R} $ then and only if $ k oplus h $ is an almost complex structure $ V _ { mathbb R} ^ 2 $

  5. I actually think $ chi ^ {k oplus h} $ is $ mathbb C $-linear for almost complex structures $ k $ and $ h $ on $ V _ { mathbb R} $, not only $ k = h = i ^ { sharp} $,

at.algebraic topology – fibers of homogeneous maps and homology of complex projective spaces

Consider a continuous map $ f: mathbb {C} ^ n to mathbb {C} ^ k $, to the $ 1 leq k leq n $, Accept $ f $ is namely homogeneous $ f (zv) = zf (v) $ for all $ z in mathbb {C} $ and $ v in mathbb {C} ^ n $, The role model $ f ^ {- 1} (0) $ is therefore a cone $ f ^ {- 1} (0) setminus {0 } $ can be viewed as a subset of $ mathbb {CP} ^ {n-1} $,

Is it true (possibly with minor additional assumptions) that this subset must contain a representative of the generator from? $ H_ {2 (n-k)} ( mathbb {CP} ^ {n-1}) $?

Google Maps: Why does Macau text look smaller than Hong Kong?

The font size of a city name is a visual cue that Google Maps uses to display the population. The font sizes of city names around the world are not set by Google Maps as constants, but are variable. However, they are always used as visual cues to display the population of cities in relation to neighboring cities in a user-friendly way.

The current population of the Hong Kong Special Administrative Region (SAR) of the People's Republic of China is 7,475,170, based on the Worldometer preparation of the latest United Nations data, and the current population of the Macau Special Administrative Region is 646,141. 100% of Hong Kong's population is urban. Weltometer