DN-6: Apostrophes.

client/src/app/references/posts/biography_albert-einstein.mdx

@@ -13,7 +13,7 @@ comments: true
 <Figure src="/references/biography_albert-einstein/Einstein_1921_by_F_Schmutzer_-_restoration.jpg" />
 
 
-Albert Einstein (1879–1955) was a theoretical physicist whose work radically changed our understanding of space, time, and energy. Born in Ulm, in what is now Germany, he reinvented modern physics through his theories of relativity and his insights into the quantum nature of light. By the early 20th century, Einstein's approach to physical phenomena placed him among the most influential scientists in history.
+Albert Einstein (1879-1955) was a theoretical physicist whose work radically changed our understanding of space, time, and energy. Born in Ulm, in what is now Germany, he reinvented modern physics through his theories of relativity and his insights into the quantum nature of light. By the early 20th century, Einstein's approach to physical phenomena placed him among the most influential scientists in history.
 
 ## Early Life and Education
 

client/src/app/references/posts/biography_antoine-philips-van-leeuwenhoek.mdx

@@ -84,7 +84,7 @@ Another significant discovery was Leeuwenhoek's description of blood cells, whic
 
 ### 4. Refined Microscopy Techniques
 
-Leeuwenhoek's success can be partly attributed to his attention to detail and craftsmanship. He created lenses capable of a resolution near 1 µm, which was impressive for a 17th-century instrument. Though he did not articulate the modern diffraction limit, his handcrafted lenses came close to bridging that gap. In modern optics, the resolution \(d\) of a lens system is approximated by:
+Leeuwenhoek's success can be partly attributed to his attention to detail and craftsmanship. He created lenses capable of a resolution near 1 µm, which was impressive for a 17th-century instrument. Though he did not articulate the modern diffraction limit, his handcrafted lenses came close to bridging that gap. In modern optics, the resolution $d$ of a lens system is approximated by:
 
 $$
 d \approx \frac{\lambda}{2\,n\sin(\theta)},

client/src/app/references/posts/biography_robert-hooke.mdx

@@ -91,7 +91,7 @@ Many of Hooke's publications are beautifully illustrated, reflecting his keen ta
    $$
    F = -kx
    $$
-   where \(k\) is the spring constant, \(x\) is the displacement, and the negative sign denotes the restoring direction of the force. This fundamental principle underpins modern elasticity theory and has applications in mechanical engineering and materials science.
+   where $k$ is the spring constant, $x$ is the displacement, and the negative sign denotes the restoring direction of the force. This fundamental principle underpins modern elasticity theory and has applications in mechanical engineering and materials science.
 
 2. **Architectural Work and Urban Planning**  
    As Surveyor of the City of London after the Great Fire of 1666, Hooke was instrumental in rebuilding large sections of the city. He introduced orderly street plans and helped restore essential structures. Although many projects are attributed solely to Christopher Wren, historians acknowledge that Hooke was deeply involved and sometimes unfairly overshadowed.