[DOCS] align the new APT-YUM references (#29455)

Author: kblaszczak-intel

docs/articles_en/documentation/openvino-ir-format/operation-sets/operation-specs/generation/random-uniform-8.rst

@@ -42,7 +42,7 @@ The result of Philox is calculated by applying a fixed number of *key* and *coun
 This implementation uses 4x32_10 version of Philox algorithm, where number of rounds = 10.
 
 Suppose we have *n* which determines *n*-th 4 elements of random sequence.
-In each round *key*, *counter* and *n* are splitted to pairs of uint32 values:
+In each round *key*, *counter* and *n* are split to pairs of uint32 values:
 
 .. math::
 
@@ -220,7 +220,8 @@ Example 3. *RandomUniform* output with ``global_seed`` = 80, ``op_seed`` = 100,
 
 Mersenne-Twister Algorithm Explanation:
 
-Link to the original paper Mersenne Twister: Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator <https://dl.acm.org/doi/10.1145/272991.272995>__.
+| Link to the original paper Mersenne Twister:
+| `Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator <https://dl.acm.org/doi/10.1145/272991.272995>`__.
 
 The Mersenne-Twister algorithm generates random numbers by initializing a state array with a seed and then iterating through a series of transformations.
 Suppose we have n which determines the n-th element of the random sequence.
@@ -250,11 +251,11 @@ Whenever all state values are 'used', a new state array is generated recursively
 
 .. math::
 
-   current_state = state[i]
-   next_state    = state[i+1] if i+1 <= 623 else state[0]
-   next_m_state  = state[i+m] if i+m <= 623 else state[i+m-623]
+   current\_state = state[i]
+   next\_state    = state[i+1] if i+1 <= 623 else state[0]
+   next\_m_state  = state[i+m] if i+m <= 623 else state[i+m-623]
 
-   twisted_state = (((current_state & 0x80000000) | (next_state & 0x7fffffff)) >> 1) ^ (next_state & 1 ? 0x9908b0df : 0)
+   twisted\_state = (((current_state & 0x80000000) | (next_state & 0x7fffffff)) >> 1) ^ (next_state & 1 ? 0x9908b0df : 0)
    state[i] = next_m_state ^ twisted_state
 
 where m is a constant.

docs/articles_en/get-started/install-openvino/install-openvino-apt.rst

@@ -56,21 +56,21 @@ Step 1: Set Up the OpenVINO Toolkit APT Repository
 
          .. code-block:: sh
 
-            echo "deb https://apt.repos.intel.com/openvino/2025 ubuntu24 main" | sudo tee /etc/apt/sources.list.d/intel-openvino-2025.list
+            echo "deb https://apt.repos.intel.com/openvino ubuntu24 main" | sudo tee /etc/apt/sources.list.d/intel-openvino.list
 
       .. tab-item:: Ubuntu 22
          :sync: ubuntu-22
 
          .. code-block:: sh
 
-            echo "deb https://apt.repos.intel.com/openvino/2025 ubuntu22 main" | sudo tee /etc/apt/sources.list.d/intel-openvino-2025.list
+            echo "deb https://apt.repos.intel.com/openvino ubuntu22 main" | sudo tee /etc/apt/sources.list.d/intel-openvino.list
 
       .. tab-item:: Ubuntu 20
          :sync: ubuntu-20
 
          .. code-block:: sh
 
-            echo "deb https://apt.repos.intel.com/openvino/2025 ubuntu20 main" | sudo tee /etc/apt/sources.list.d/intel-openvino-2025.list
+            echo "deb https://apt.repos.intel.com/openvino ubuntu20 main" | sudo tee /etc/apt/sources.list.d/intel-openvino.list
 
 
 3. Update the list of packages via the update command:
@@ -126,7 +126,7 @@ Step 2: Install OpenVINO Runtime Using the APT Package Manager
          .. code-block:: sh
 
 
-            sudo apt install openvino-2025.0.0
+            sudo apt install openvino-2025.1.0
 
 .. note::
 
@@ -199,7 +199,7 @@ To uninstall OpenVINO Runtime via APT, run the following command based on your n
 
       .. code-block:: sh
 
-         sudo apt autoremove openvino-2025.0.0
+         sudo apt autoremove openvino-2025.1.0
 
 
 What's Next?

docs/articles_en/get-started/install-openvino/install-openvino-yum.rst

@@ -25,25 +25,25 @@ Step 1: Set Up the Repository
 +++++++++++++++++++++++++++++
 
 
-1. Create a YUM repository file (``openvino-2025.repo``) in the ``/tmp`` directory as a normal user:
+1. Create a YUM repository file (``openvino.repo``) in the ``/tmp`` directory as a normal user:
 
    .. code-block:: sh
 
-      tee > /tmp/openvino-2025.repo << EOF
+      tee > /tmp/openvino.repo << EOF
       [OpenVINO]
-      name=Intel(R) Distribution of OpenVINO 2025
-      baseurl=https://yum.repos.intel.com/openvino/2025
+      name=Intel(R) Distribution of OpenVINO
+      baseurl=https://yum.repos.intel.com/openvino
       enabled=1
       gpgcheck=1
       repo_gpgcheck=1
       gpgkey=https://yum.repos.intel.com/intel-gpg-keys/GPG-PUB-KEY-INTEL-SW-PRODUCTS.PUB
       EOF
 
-2. Move the new ``openvino-2025.repo`` file to the YUM configuration directory, i.e. ``/etc/yum.repos.d``:
+2. Move the new ``openvino.repo`` file to the YUM configuration directory, i.e. ``/etc/yum.repos.d``:
 
    .. code-block:: sh
 
-      sudo mv /tmp/openvino-2025.repo /etc/yum.repos.d
+      sudo mv /tmp/openvino.repo /etc/yum.repos.d
 
 3. Verify that the new repository is set up properly.
 
@@ -93,7 +93,7 @@ Install OpenVINO Runtime
       .. code-block:: sh
 
 
-         sudo yum install openvino-2025.0.0
+         sudo yum install openvino-2025.1.0
 
 
 
@@ -164,7 +164,7 @@ To uninstall OpenVINO Runtime via YUM, run the following command based on your n
 
       .. code-block:: sh
 
-         sudo yum autoremove openvino-2025.0.0
+         sudo yum autoremove openvino-2025.1.0