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Windows 10 1809 cannot search for emoji

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up vote 0 down vote favorite When I press Win + . and start typing I get: The Windows display language is set to Dutch and it is also set as preferred language. When I press options, the keyboard layout is set to US International. I cannot seem to find out what setting is wrong or missing. I have the Dutch (and English) lang pack installed from the Microsoft Store. ps. the translation of the screenshot is something like this: the base function for typing has to be installed in order to use search queries. Open the settings of region and language to download this component in the settings of your language. windows-10 keyboard language windows-10-v1809 share | improve this question ...

The 2-Dimensional Projective Space $mathbb{P}^2$ Has the Basis with *Three* (?) Vectors $mathbf{e}_i$, $i =...

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up vote 0 down vote favorite My textbook says the following: Consider a set of basis vector $mathbf{e}_i$ , $i = 1, dots, 3$ for a 2-dimensional projective space $mathbb{P}^2$ . For reasons to become clear, we will write the indices as subscripts. With respect to this basis, a point in $mathbb{P}^2$ is represented by a set of coordinates $x^i$ , which represents the point $sum_{i = 1}^3 mathbf{e}_i$ . We write the coordinates with an upper index, as shown. Let $mathrm{mathbf{x}}$ represent the triple of coordinates, $mathrm{mathbf{x}} = (x^1, x^2, x^3)^T$ . My understanding from linear algebra is that a basis is a linearly independent spanning set. We then define the dimension of a vector space to be equal to the number of vectors in a basis for said vector space. Therefore, a vector space can have multiple different base...