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Affinity Photo The purchase of your first Photoshop license may be costly so, in order to avoid this expense, begin with a Free edition of Photoshop Elements to see if it is something you want to purchase. **iStock.com/LorenD** _(Loren D.)_ We recommend trying free-trial versions of professional applications and then seeing if the editing tools you like best are within your budget. Affinity Photo is a full-featured image editor that is powerful enough to be used for professional work. It can be used at every stage of the process from creation to processing images, as well as in image manipulation. Affinity Photo is part of the Affinity suite of products that are owned by Corel Corporation. This company has been steadily growing since we last discussed their company in this book in Chapter 3, _Design with PhotoGizmos_, and their software range is expanding to include applications such as Affinity Photo, Affinity Photo Designer, and Affinity Photo Publisher. In addition, Corel has released a digital camera called CorelDRAW, which can be used to edit images captured with a digital camera. **Check it out on the web!** **www.coreldraw.com**

Q: Ramanujan’s congruences? I’m solving problems from Ramanujan’s congruences. The next one is $$36 \equiv 16 \mod 17$$ or, using properties, $$3 \mid 24 \cdot 17 – 16$$ or $$24 \cdot 17 \equiv 0 \mod 3$$ so, dividing by $24$, $$17 \equiv 0 \mod 3$$ but I don’t know how to use the properties because the next one is $$2895 \equiv 2 \mod 89$$ For the second question, $$3 \mid 2895 \cdot 89 – 2$$ so $$3 \mid 2895 \cdot 89 – 2895$$ $$3 \mid 89 \cdot 2895 – 895$$ A: If you know the definition of modulo: $a \equiv b \mod m \iff a \equiv b \pmod m$ So for your first question, $24 \cdot 17 \equiv 0 \pmod {17} \iff {24} \cdot 17 \equiv 0 \pmod {17}$ Do you know the definition for multiplication modulo? Q: Should I be using form onsubmit for this function? Basically, in the code, when you leave off a URL, you add the next one, and if the URL is put back into the text field then it submits a new form. The problem I have is when I submit, it shows up as if it was just a regular submit button as if it was ajax. Here is the page and the relevant code: //submits first item from dropdown list function addUrl(form){ var text=document.getElementById(“text”).value; var url=document.getElementById(“url”); var x=document.getElementById(“add”); var newurl=””+text; url.innerHTML=””+”Add Listing”+””; //adds a function to make page submit document.getElementById(“form”).onsubmit=function(){ var a=document.getElementById(“sub”); a.innerHTML=””; a