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@@ -33,3 +33,5 @@ saved_model/**/* filter=lfs diff=lfs merge=lfs -text
 *.zip filter=lfs diff=lfs merge=lfs -text
 *.zst filter=lfs diff=lfs merge=lfs -text
 *tfevents* filter=lfs diff=lfs merge=lfs -text
+De_Rham_Cohomology_of_smooth_manifolds.pdf filter=lfs diff=lfs merge=lfs -text
+Distributions,_elliptic-regularity,_and_applications_to_PDEs.pdf filter=lfs diff=lfs merge=lfs -text

De_Rham_Cohomology_of_smooth_manifolds.cpp

@@ -0,0 +1,45 @@
+#include <satisfier>
+#include <string>
+
+bool is_topological_space(const std::string& M)
+{
+    bool is_topological_space = false;
+
+    // use M string to compute is_topological_space
+
+    return is_topological_space;
+}
+
+int main()
+{
+    // supposed A_topological_space_M, topological_space function
+    Suppose_literal (A_topological_space_M, is_topological_space("M string"));
+
+    // like above, you may create a function for each literal below
+    Suppose_literal (M_is_Hausdorff, true);
+    Suppose_literal (Points_can_be_seperated_by_open_sets, true);
+    Suppose_literal (M_is_second_countable, true);
+    Suppose_literal (M_has_a_countable_topological_base, true);
+    Suppose_literal (p_is_element_of_M, true);
+    Suppose_literal (U_is_proper_subset_of_M, true);
+    Suppose_literal (V_is_subset_of_real_coordinate_space_of_dimension_n, true);
+    Suppose_literal (For_all_p_there_is_an_open_neighbourhood_U, true);
+    Suppose_literal (U_is_homeomorphic_to_an_open_subset_V, true);
+
+    auto manifold_of_dimension_n = M_is_Hausdorff. And (Points_can_be_seperated_by_open_sets).
+    And (M_is_second_countable). And (M_has_a_countable_topological_base). And (p_is_element_of_M).
+    And (U_is_proper_subset_of_M). And (V_is_subset_of_real_coordinate_space_of_dimension_n).
+    And (For_all_p_there_is_an_open_neighbourhood_U). And (U_is_homeomorphic_to_an_open_subset_V).
+    Implying (A_topological_space_M);
+
+    // like above, you may create a function for each literal below
+    Suppose_literal (Let_M_be_a_manifold_of_dimension_n, manifold_of_dimension_n. Value());
+    Suppose_literal (A_pair_U_psi_where_U_is_element_of_M_is_open, true);
+    Suppose_literal (psi_maps_U_to_V_a_homeomorphism_to_some_open_V, true);
+
+    auto chart = Let_M_be_a_manifold_of_dimension_n. And (A_pair_U_psi_where_U_is_element_of_M_is_open).
+    And (psi_maps_U_to_V_a_homeomorphism_to_some_open_V);
+
+
+    return 0;
+}

De_Rham_Cohomology_of_smooth_manifolds.pdf

@@ -0,0 +1,3 @@
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+oid sha256:e5be02bc7e76b9cf6a93f6cd822f5344a4071a60fcd93d0ee792ef8ea21f33b6
+size 620987

Distributions,_elliptic-regularity,_and_applications_to_PDEs.pdf

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2123b69042d94d41cc7b94e04cf6fc3e7970e4bd0c7a9793992acf05499e5ba7
+size 4036261